Metrics for Octave 3.8, jcobi/4, as called

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze3.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

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 (24.2%)

Memory

-8.5MiB live, 1 125.9MiB allocated

Samples

903.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 654.0ms

ival-div: 245.0ms (37.5% of total)

ival-mult: 241.0ms (36.9% of total)

ival-sub: 103.0ms (15.8% of total)

ival->: 47.0ms (7.2% of total)

exact: 15.0ms (2.3% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain159.0ms (3.1%)

Memory

34.1MiB live, 265.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
187	-	3	(1.0991882301670666e-79)	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
49	-	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)))`	u/u	57	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	98
↳	`(*.f64 i i)`	underflow	114
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	57
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/o	49	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	87
↳	`(*.f64 i i)`	overflow	96
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	49
`/.f64`	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`	o/o	48	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	87
↳	`(*.f64 i i)`	overflow	96
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	48
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	49
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	49
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	49
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	40	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	98
↳	`(*.f64 i i)`	underflow	114
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	38	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	87
↳	`(*.f64 i i)`	overflow	96
`/.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)))`	n/o	1	0
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	49
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	49

Confusion

	Predicted +	Predicted -
+	184	3
-	0	69

Precision

1.0

Recall

0.983957219251337

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	184	0	3
-	0	0	69

Precision?

1.0

Recall?

0.983957219251337

Freqs

test

number	freq
0	72
1	135
2	49

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

51.0ms

512×

valid

Compiler

Compiled 173 to 34 computations (80.3% saved)

Precisions

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

ival-mult: 26.0ms (73.1% of total)

ival-div: 6.0ms (16.9% of total)

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

exact: 1.0ms (2.8% of total)

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

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

preprocess158.0ms (3.1%)

Memory

28.7MiB live, 212.4MiB allocated

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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune36.0ms (0.7%)

Memory

-82.9MiB live, 2.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.8%	(/.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

▶

29.8%

(/.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)

simplify171.0ms (3.4%)

Memory

44.5MiB live, 236.0MiB allocated

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)

localize33.0ms (0.6%)

Memory

5.1MiB live, 48.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
accuracy	0.1328125	(.f64 (.f64 i i) (*.f64 i i))
accuracy	11.868346055099085	(/.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	41.992819824494596	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Samples

25.0ms

256×

valid

Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 14.0ms (75.1% of total)

ival-div: 3.0ms (16.1% of total)

ival-sub: 1.0ms (5.4% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

-31.7MiB live, 12.9MiB allocated

Counts

5 → 14

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)))

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))
(* (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
6.0ms	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)))
2.0ms	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)))
1.0ms	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)))

Time

Variable

Point

Expression

6.0ms

((/ (* (* 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)))

2.0ms

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)))

1.0ms

-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)))

simplify153.0ms (3%)

Memory

6.9MiB live, 142.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	123
1	92	123
2	206	123
3	491	123
4	1133	123
5	1574	123
6	1835	123
7	2009	123
8	2023	123
9	2023	123
10	2023	123
11	2453	123
12	3372	123
13	3378	123
14	3404	123
15	3768	123
16	4472	123
17	5051	123
18	5731	123
19	7691	123
0	8085	121

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

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

rewrite51.0ms (1%)

Memory

21.1MiB live, 109.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	63
0	17	47
1	79	41
0	661	39

Stop Event

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

Counts

5 → 161

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)))

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))
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eval39.0ms (0.8%)

Memory: 18.7MiB live, 115.8MiB allocated
Compiler: Compiled 5 258 to 632 computations (88% saved)

prune8.0ms (0.2%)

Memory

-24.3MiB live, 22.2MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	202	7	209
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	203	7	210

Accuracy

100.0%

Counts

210 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.8%	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64)))
▶	80.9%	(/.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)))
▶	48.2%	#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)))
	51.7%	#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)))
▶	51.7%	#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))
▶	51.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
▶	48.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 446 to 218 computations (51.1% saved)

simplify180.0ms (3.6%)

Memory

-3.3MiB live, 144.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
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 i i)
cost-diff	0	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
cost-diff	0	(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
cost-diff	0	(*.f64 #s(literal -1/4 binary64) i)
cost-diff	0	(.f64 (.f64 #s(literal -1/4 binary64) i) i)
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
cost-diff	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	35	271
0	52	245
1	104	233
2	453	197
3	3210	197
0	8851	191

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

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

localize61.0ms (1.2%)

Memory

-10.3MiB live, 136.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
accuracy	0.03515625	(.f64 (.f64 (-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i) i)
accuracy	0.05859375	(.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) i)
accuracy	30.894089227464757	#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 i i)
accuracy	0.00390625	(+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))
accuracy	0.4812421686877269	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
accuracy	33.129713386450554	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64)))
accuracy	0.0	(.f64 (.f64 #s(literal -1/4 binary64) i) i)
accuracy	0.0	(*.f64 #s(literal -1/4 binary64) i)
accuracy	30.89964572866865	#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	33.01651275343261	#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 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	0.0078125	(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
accuracy	11.868346055099085	(/.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

42.0ms

256×

valid

Compiler

Compiled 234 to 27 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 16.0ms (61.8% of total)

ival-div: 4.0ms (15.5% of total)

ival-sub: 2.0ms (7.7% of total)

ival-add: 1.0ms (3.9% of total)

exact: 1.0ms (3.9% of total)

ival-neg: 1.0ms (3.9% of total)

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

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

series8.0ms (0.2%)

Memory

18.9MiB live, 19.0MiB allocated

Counts

17 → 27

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

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))
(* -1/4 i)
(/ 1/64 (pow i 2))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(pow i 2)
(* i (- (* -1 (pow i 2)) 1/4))
-1/4
(- (* -1 (pow i 2)) 1/4)
(* 1/4 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))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	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)) (* (* -1/4 i) i) (* -1/4 i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- (* (neg i) i) 1/4) i) i) (* (- (* (neg i) i) 1/4) i) (- (* (neg i) i) 1/4) (* 1/4 i))
2.0ms	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)) (* (* -1/4 i) i) (* -1/4 i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- (* (neg i) i) 1/4) i) i) (* (- (* (neg i) i) 1/4) i) (- (* (neg i) i) 1/4) (* 1/4 i))
2.0ms	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)) (* (* -1/4 i) i) (* -1/4 i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+ (/ 1/64 (* i i)) 1/16) (/ 1/64 (* i i)) (* i i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (* (* (- (* (neg i) i) 1/4) i) i) (* (- (* (neg i) i) 1/4) i) (- (* (neg i) i) 1/4) (* 1/4 i))

Time

Variable

Point

Expression

3.0ms

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

2.0ms

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

2.0ms

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

simplify100.0ms (2%)

Memory

-3.3MiB live, 86.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	204
1	165	204
2	514	190
3	1988	190
4	5568	190
0	8348	190

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

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

rewrite167.0ms (3.3%)

Memory

25.5MiB live, 166.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	245
0	52	207
1	160	195
2	1012	133
0	10006	131

Stop Event

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

Counts

17 → 1 668

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

Outputs
(.f64 (.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 4 binary64))
(.f64 (.f64 #s(literal 1 binary64) i) (*.f64 #s(literal -2 binary64) i))
(.f64 (.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 64 binary64)) (pow.f64 i #s(literal 6 binary64)))
(.f64 (.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 16 binary64)) (pow.f64 i #s(literal 4 binary64)))
(.f64 (.f64 #s(literal -4 binary64) (neg.f64 i)) (neg.f64 i))
(.f64 (.f64 #s(literal -4 binary64) i) i)
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) #s(literal 4 binary64)) (*.f64 i i))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) (*.f64 i i)) #s(literal 4 binary64))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) i))
(.f64 (.f64 #s(literal 16 binary64) (pow.f64 (neg.f64 i) #s(literal 3 binary64))) (neg.f64 i))
(.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 3 binary64))) i)
(.f64 (.f64 #s(literal 16 binary64) (.f64 (neg.f64 i) i)) (.f64 (neg.f64 i) i))
(.f64 (.f64 #s(literal 16 binary64) (neg.f64 i)) (pow.f64 (neg.f64 i) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 16 binary64) (.f64 i i)) (.f64 i i))
(.f64 (.f64 #s(literal 16 binary64) i) (pow.f64 i #s(literal 3 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) i) #s(literal -4 binary64)) (.f64 i i))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) i) (*.f64 #s(literal -2 binary64) i))
(.f64 (.f64 #s(literal -2 binary64) (*.f64 i i)) #s(literal 2 binary64))
(*.f64 #s(literal 256 binary64) (pow.f64 i #s(literal 8 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) i) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 3/4 binary64)))
(.f64 (sqrt.f64 i) (.f64 #s(literal -2 binary64) i))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) i))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 i i) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 i i) #s(literal 3/2 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (.f64 #s(literal -2 binary64) i))
(.f64 (pow.f64 i #s(literal 3/2 binary64)) (.f64 #s(literal -2 binary64) i))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal -8 binary64) (pow.f64 i #s(literal 3 binary64)))
(*.f64 #s(literal 4096 binary64) (pow.f64 i #s(literal 12 binary64)))
(*.f64 #s(literal 262144 binary64) (pow.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 3 binary64)))
(.f64 #s(literal 512 binary64) (.f64 #s(literal -2 binary64) i))
(.f64 #s(literal -4 binary64) (.f64 (*.f64 i i) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(.f64 #s(literal -4 binary64) (.f64 (neg.f64 i) i))
(.f64 #s(literal -4 binary64) (.f64 i i))
(*.f64 #s(literal -2 binary64) (neg.f64 i))
(.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal -2 binary64) i)
(*.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)))
(.f64 #s(literal 16 binary64) (.f64 #s(literal -2 binary64) i))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) i))
(.f64 (fma.f64 i i #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal 64 binary64) (pow.f64 i #s(literal 6 binary64)))
(.f64 #s(literal 64 binary64) (.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal 8 binary64) (pow.f64 (neg.f64 i) #s(literal 3 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)))
(.f64 #s(literal 8 binary64) (.f64 #s(literal -2 binary64) i))
(*.f64 (pow.f64 (neg.f64 i) #s(literal 3 binary64)) #s(literal 8 binary64))
(*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal -8 binary64))
(*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 64 binary64))
(*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64))
(*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 4 binary64))
(.f64 (pow.f64 i #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) i))
(.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) i))
(.f64 (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) i))
(.f64 #s(literal 4 binary64) (neg.f64 (.f64 (*.f64 i i) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))))
(.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(*.f64 #s(literal 4 binary64) (fma.f64 i i #s(literal 0 binary64)))
(.f64 #s(literal 4 binary64) (.f64 (neg.f64 i) i))
(*.f64 #s(literal 4 binary64) (neg.f64 i))
(.f64 #s(literal 4 binary64) (.f64 i i))
(.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal 4 binary64) i)
(*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64))
(*.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 8 binary64))
(.f64 (.f64 (neg.f64 i) i) #s(literal 4 binary64))
(.f64 (.f64 (neg.f64 i) i) (*.f64 #s(literal -2 binary64) i))
(.f64 (.f64 (neg.f64 i) i) #s(literal 2 binary64))
(*.f64 (neg.f64 i) #s(literal -2 binary64))
(*.f64 (neg.f64 i) #s(literal 4 binary64))
(.f64 (neg.f64 i) (.f64 #s(literal -2 binary64) i))
(*.f64 (neg.f64 i) #s(literal 2 binary64))
(*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64))
(*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 4 binary64))
(.f64 (.f64 i i) (-.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 4 binary64)))
(.f64 (.f64 i i) #s(literal -4 binary64))
(.f64 (.f64 i i) #s(literal -2 binary64))
(.f64 (.f64 i i) #s(literal 16 binary64))
(.f64 (.f64 i i) #s(literal 4 binary64))
(.f64 (.f64 i i) (*.f64 #s(literal -2 binary64) i))
(.f64 (.f64 i i) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) i))
(.f64 (.f64 #s(literal -2 binary64) i) (-.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal -2 binary64) i) (-.f64 (*.f64 #s(literal -2 binary64) i) i))
(.f64 (.f64 #s(literal -2 binary64) i) (*.f64 i (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(.f64 (.f64 #s(literal -2 binary64) i) (neg.f64 (*.f64 i (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) i) (sqrt.f64 (neg.f64 i)))
(.f64 (.f64 #s(literal -2 binary64) i) (sqrt.f64 i))
(.f64 (.f64 #s(literal -2 binary64) i) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(literal -2 binary64) i) (pow.f64 (neg.f64 i) #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal -2 binary64) i) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal -2 binary64) i) (pow.f64 i #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal -2 binary64) i) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal -2 binary64) i) (pow.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal -2 binary64) i) #s(literal -2 binary64))
(.f64 (.f64 #s(literal -2 binary64) i) #s(literal -1 binary64))
(.f64 (.f64 #s(literal -2 binary64) i) #s(literal 8 binary64))
(.f64 (.f64 #s(literal -2 binary64) i) (pow.f64 (neg.f64 i) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal -2 binary64) i) (pow.f64 i #s(literal 3 binary64)))
(.f64 (.f64 #s(literal -2 binary64) i) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -2 binary64) i) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -2 binary64) i) #s(literal 4 binary64))
(.f64 (.f64 #s(literal -2 binary64) i) (pow.f64 i #s(literal 6 binary64)))
(.f64 (.f64 #s(literal -2 binary64) i) (*.f64 (neg.f64 i) i))
(.f64 (.f64 #s(literal -2 binary64) i) (neg.f64 i))
(.f64 (.f64 #s(literal -2 binary64) i) (pow.f64 i #s(literal 4 binary64)))
(.f64 (.f64 #s(literal -2 binary64) i) (*.f64 i 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 #s(literal -2 binary64) i) i)
(.f64 (.f64 #s(literal -2 binary64) i) #s(literal 2 binary64))
(*.f64 i #s(literal -4 binary64))
(*.f64 i #s(literal -2 binary64))
(*.f64 i #s(literal 4 binary64))
(.f64 i (.f64 #s(literal -2 binary64) i))
(*.f64 i #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 i #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (neg.f64 i))
(.f64 #s(literal 2 binary64) (.f64 i i))
(.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 12 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 9 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 18 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 3/2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 8 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 6 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 4 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 i #s(literal 4 binary64))) #s(literal 0 binary64))
(/.f64 (+.f64 (pow.f64 i #s(literal 6 binary64)) (pow.f64 i #s(literal 6 binary64))) (+.f64 (pow.f64 i #s(literal 4 binary64)) (-.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 i #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 i #s(literal 6 binary64)) (pow.f64 i #s(literal 6 binary64))) (-.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 i #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 i #s(literal 6 binary64)) (-.f64 (pow.f64 i #s(literal 6 binary64)) (pow.f64 i #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 i) #s(literal 3 binary64)) (pow.f64 (neg.f64 i) #s(literal 3 binary64))) (fma.f64 i i #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) i)) (*.f64 #s(literal 0 binary64) (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))) (.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))) (.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
(/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 i) (neg.f64 i)))
(/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) i) (neg.f64 (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (.f64 #s(literal -2 binary64) i) (.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (.f64 #s(literal -2 binary64) i) (.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal -2 binary64) i) (.f64 (fma.f64 i i #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) i) (fabs.f64 (fma.f64 i i #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) i) (pow.f64 (fma.f64 i i #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) i) (fma.f64 i i #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) i) (fma.f64 #s(literal -2 binary64) i #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) i) (fma.f64 #s(literal -2 binary64) i #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal -2 binary64) i) (.f64 #s(literal -2 binary64) i))
(neg.f64 (*.f64 #s(literal 16 binary64) (neg.f64 (pow.f64 i #s(literal 4 binary64)))))
(neg.f64 (*.f64 #s(literal -2 binary64) i))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 i i)) #s(literal 4 binary64) (.f64 (+.f64 i #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) i)))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 i i)) #s(literal 4 binary64) (.f64 (-.f64 i #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) i)))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 i i)) #s(literal 4 binary64) (.f64 (.f64 #s(literal -2 binary64) i) (+.f64 i #s(literal 1 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 i i)) #s(literal 4 binary64) (.f64 (.f64 #s(literal -2 binary64) i) (-.f64 i #s(literal 1 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 i i)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) i))
(fma.f64 (.f64 #s(literal 1 binary64) i) (.f64 #s(literal -2 binary64) i) (.f64 (+.f64 i #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) i)))
(fma.f64 (.f64 #s(literal 1 binary64) i) (.f64 #s(literal -2 binary64) i) (.f64 (-.f64 i #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) i)))
(fma.f64 (.f64 #s(literal 1 binary64) i) (.f64 #s(literal -2 binary64) i) (.f64 (.f64 #s(literal -2 binary64) i) (+.f64 i #s(literal 1 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) i) (.f64 #s(literal -2 binary64) i) (.f64 (.f64 #s(literal -2 binary64) i) (-.f64 i #s(literal 1 binary64))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/64 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) i) i (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))) (.f64 (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) (*.f64 (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64)) (fma.f64 (neg.f64 i) i #s(literal 1/4 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 i #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal -1/4 binary64) i) i (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))))) (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) i) i (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)))) #s(literal 1/64 binary64))) (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) i) i (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) i) i (+.f64 #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))) (fma.f64 i i #s(literal -1/4 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/64 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) i) i (+.f64 #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 i #s(literal 6 binary64)) #s(literal 1/64 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) i) i (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)))))
(neg.f64 (/.f64 (neg.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))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/64 binary64))) (fma.f64 (*.f64 #s(literal -1/4 binary64) i) i (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/16 binary64)) (fma.f64 i i #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (-.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 1/64 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) i) i (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64)))))))
(-.f64 (/.f64 (neg.f64 (pow.f64 i #s(literal 4 binary64))) (fma.f64 i i #s(literal -1/4 binary64))) (/.f64 #s(literal -1/16 binary64) (fma.f64 i i #s(literal -1/4 binary64))))
(-.f64 (/.f64 (pow.f64 i #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal -1/4 binary64) i) i (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))))) (/.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 #s(literal -1/4 binary64) i) i (+.f64 #s(literal 1/16 binary64) (pow.f64 i #s(literal 4 binary64))))))
(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) i)
(*.f64 i #s(literal 1/4 binary64))

eval265.0ms (5.2%)

Memory: -3.8MiB live, 402.8MiB allocated
Compiler: Compiled 59 712 to 4 689 computations (92.1% saved)

prune41.0ms (0.8%)

Memory

6.0MiB live, 106.2MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1 687	5	1 692
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	1 691	8	1 699

Accuracy

100.0%

Counts

1 699 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.9%	(/.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)))
▶	80.9%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (.f64 #s(literal -2 binary64) i) (.f64 #s(literal -2 binary64) i) #s(literal -1 binary64)))
▶	53.6%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (+.f64 i (-.f64 i #s(literal 1 binary64))))
✓	48.2%	#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)))
▶	51.7%	#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)))
▶	51.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
✓	51.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
✓	48.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Compiler

Compiled 403 to 202 computations (49.9% saved)

simplify91.0ms (1.8%)

Memory

34.1MiB live, 122.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	335
0	56	311
1	125	293
2	662	245
3	4299	245
0	8474	245

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

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

localize123.0ms (2.4%)

Memory

-10.7MiB live, 134.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
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	0.0078125	(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
accuracy	11.868346055099085	(/.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)))
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	0.016288769536884032	(+.f64 i (-.f64 i #s(literal 1 binary64)))
accuracy	11.251428341714464	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (+.f64 i (-.f64 i #s(literal 1 binary64))))
accuracy	0.0	(neg.f64 i)
accuracy	0.00390625	(-.f64 (*.f64 (neg.f64 i) i) #s(literal 1/4 binary64))
accuracy	0.08203125	(.f64 (-.f64 (.f64 (neg.f64 i) i) #s(literal 1/4 binary64)) (*.f64 i i))
accuracy	30.894089227464757	#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 #s(literal -1/4 binary64) (*.f64 i i))
accuracy	0.03515625	(.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i)
accuracy	0.05859375	(.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i)
accuracy	30.894089227464757	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
accuracy	0.0	(*.f64 #s(literal 1/4 binary64) i)
accuracy	0.0	(*.f64 #s(literal -2 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	11.868346055099085	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (.f64 #s(literal -2 binary64) i) (.f64 #s(literal -2 binary64) i) #s(literal -1 binary64)))

Samples

103.0ms

256×

valid

Compiler

Compiled 284 to 36 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-mult: 53.0ms (67.3% of total)

ival-div: 15.0ms (19% of total)

ival-sub: 5.0ms (6.3% of total)

ival-add: 3.0ms (3.8% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series20.0ms (0.4%)

Memory

-32.8MiB live, 12.7MiB allocated

Counts

19 → 39

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

14.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

simplify91.0ms (1.8%)

Memory

31.7MiB live, 126.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	323
1	304	319
2	854	306
3	2773	301
0	8297	298

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 39

Calls

Call 1

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

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

rewrite201.0ms (4%)

Memory

-4.7MiB live, 245.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	250
0	56	218
1	232	204
2	1648	180
0	9046	176

Stop Event

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

Counts

19 → 728

Calls

Call 1

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

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

eval124.0ms (2.5%)

Memory: -20.2MiB live, 211.0MiB allocated
Compiler: Compiled 34 013 to 2 543 computations (92.5% saved)

prune20.0ms (0.4%)

Memory

20.2MiB live, 66.5MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	858	6	864
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	860	12	872

Accuracy

100.0%

Counts

872 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.9%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
✓	53.6%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (+.f64 i (-.f64 i #s(literal 1 binary64))))
✓	48.2%	#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)))
✓	51.7%	#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)))
✓	51.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
✓	51.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
✓	48.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
▶	4.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (fma.f64 #s(literal 1/8 binary64) i #s(literal 1/16 binary64)))
▶	3.8%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (-.f64 (fma.f64 #s(literal 1/8 binary64) i (/.f64 #s(literal 1/32 binary64) i)) #s(literal -1/16 binary64)))
	51.3%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (.f64 (.f64 (-.f64 (*.f64 (-.f64 (neg.f64 i) #s(literal 1/2 binary64)) i) #s(literal 1/4 binary64)) i) i))
▶	51.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (.f64 (.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)) i) i))
▶	5.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (*.f64 #s(literal 1/8 binary64) i))

Compiler

Compiled 537 to 292 computations (45.6% saved)

simplify138.0ms (2.7%)

Memory

-15.1MiB live, 132.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 #s(literal 1/32 binary64) i)
cost-diff	0	(fma.f64 #s(literal 1/8 binary64) i (/.f64 #s(literal 1/32 binary64) i))
cost-diff	0	(-.f64 (fma.f64 #s(literal 1/8 binary64) i (/.f64 #s(literal 1/32 binary64) i)) #s(literal -1/16 binary64))
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (-.f64 (fma.f64 #s(literal 1/8 binary64) i (/.f64 #s(literal 1/32 binary64) i)) #s(literal -1/16 binary64)))
cost-diff	0	(-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)) i)
cost-diff	0	(.f64 (.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)) i) i)
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (.f64 (.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)) i) i))
cost-diff	0	(fma.f64 #s(literal 1/8 binary64) i #s(literal 1/16 binary64))
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (fma.f64 #s(literal 1/8 binary64) i #s(literal 1/16 binary64)))
cost-diff	0	(*.f64 #s(literal 1/8 binary64) i)
cost-diff	0	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (*.f64 #s(literal 1/8 binary64) 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 #s(literal 4 binary64) i) i #s(literal -1 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	242
0	53	230
1	107	218
2	491	182
3	3091	182
4	7593	182
0	8219	182

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 #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))
(.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 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) i)
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (*.f64 #s(literal 1/8 binary64) i))
(*.f64 #s(literal 1/8 binary64) i)
#s(literal 1/8 binary64)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (fma.f64 #s(literal 1/8 binary64) i #s(literal 1/16 binary64)))
(fma.f64 #s(literal 1/8 binary64) i #s(literal 1/16 binary64))
#s(literal 1/8 binary64)
i
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (.f64 (.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)) i) i))
(.f64 (.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)) i) i)
(.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)) i)
(-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64))
(*.f64 #s(literal -1/2 binary64) i)
#s(literal -1/2 binary64)
i
#s(literal 1/4 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (-.f64 (fma.f64 #s(literal 1/8 binary64) i (/.f64 #s(literal 1/32 binary64) i)) #s(literal -1/16 binary64)))
(-.f64 (fma.f64 #s(literal 1/8 binary64) i (/.f64 #s(literal 1/32 binary64) i)) #s(literal -1/16 binary64))
(fma.f64 #s(literal 1/8 binary64) i (/.f64 #s(literal 1/32 binary64) i))
#s(literal 1/8 binary64)
i
(/.f64 #s(literal 1/32 binary64) i)
#s(literal 1/32 binary64)
#s(literal -1/16 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 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i))
#s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 #s(literal 1/4 binary64) (.f64 i i)))
(.f64 (.f64 #s(literal 1/4 binary64) i) i)
(.f64 #s(literal 1/4 binary64) (.f64 i i))
(*.f64 #s(literal 1/4 binary64) i)
#s(literal 1/4 binary64)
i
(fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) i)
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (*.f64 #s(literal 1/8 binary64) i))
(*.f64 #s(literal 1/8 binary64) i)
#s(literal 1/8 binary64)
i
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (fma.f64 #s(literal 1/8 binary64) i #s(literal 1/16 binary64)))
(fma.f64 #s(literal 1/8 binary64) i #s(literal 1/16 binary64))
#s(literal 1/8 binary64)
i
#s(literal 1/16 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (.f64 (.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)) (*.f64 i i)))
(.f64 (.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)) i) i)
(.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)) (*.f64 i i))
(.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)) i)
(-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64))
(*.f64 #s(literal -1/2 binary64) i)
#s(literal -1/2 binary64)
i
#s(literal 1/4 binary64)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (-.f64 (fma.f64 #s(literal 1/8 binary64) i (/.f64 #s(literal 1/32 binary64) i)) #s(literal -1/16 binary64)))
(-.f64 (fma.f64 #s(literal 1/8 binary64) i (/.f64 #s(literal 1/32 binary64) i)) #s(literal -1/16 binary64))
(fma.f64 #s(literal 1/8 binary64) i (/.f64 #s(literal 1/32 binary64) i))
#s(literal 1/8 binary64)
i
(/.f64 #s(literal 1/32 binary64) i)
#s(literal 1/32 binary64)
#s(literal -1/16 binary64)

localize109.0ms (2.1%)

Memory

-6.8MiB live, 141.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 1/8 binary64) i (/.f64 #s(literal 1/32 binary64) i))
accuracy	0.0	(/.f64 #s(literal 1/32 binary64) i)
accuracy	0.0	(-.f64 (fma.f64 #s(literal 1/8 binary64) i (/.f64 #s(literal 1/32 binary64) i)) #s(literal -1/16 binary64))
accuracy	33.10499488347324	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (-.f64 (fma.f64 #s(literal 1/8 binary64) i (/.f64 #s(literal 1/32 binary64) i)) #s(literal -1/16 binary64)))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) i)
accuracy	0.00390625	(.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)) i)
accuracy	0.0625	(.f64 (.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)) i) i)
accuracy	31.02107006237443	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (.f64 (.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)) i) i))
accuracy	0.0	(fma.f64 #s(literal 1/8 binary64) i #s(literal 1/16 binary64))
accuracy	33.02714622163194	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (fma.f64 #s(literal 1/8 binary64) i #s(literal 1/16 binary64)))
accuracy	0.0	(*.f64 #s(literal 1/8 binary64) i)
accuracy	32.7190416102376	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (*.f64 #s(literal 1/8 binary64) i))
accuracy	0.0	(*.f64 #s(literal 4 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	11.868346055099085	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))

Samples

69.0ms

256×

valid

Compiler

Compiled 209 to 36 computations (82.8% saved)

Precisions

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

ival-add: 17.0ms (31.1% of total)

ival-mult: 17.0ms (31.1% of total)

ival-sub: 13.0ms (23.8% of total)

ival-div: 6.0ms (11% of total)

exact: 1.0ms (1.8% of total)

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

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

series8.0ms (0.2%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

18 → 36

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 #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))
(.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))) (+ i (- i 1))) (*.f64 #s(literal 1/8 binary64) i))
(*.f64 #s(literal 1/8 binary64) i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (fma.f64 #s(literal 1/8 binary64) i #s(literal 1/16 binary64)))
(fma.f64 #s(literal 1/8 binary64) i #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (.f64 (.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)) i) i))
(.f64 (.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)) i) i)
(.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)) i)
(-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (-.f64 (fma.f64 #s(literal 1/8 binary64) i (/.f64 #s(literal 1/32 binary64) i)) #s(literal -1/16 binary64)))
(-.f64 (fma.f64 #s(literal 1/8 binary64) i (/.f64 #s(literal 1/32 binary64) i)) #s(literal -1/16 binary64))
(fma.f64 #s(literal 1/8 binary64) i (/.f64 #s(literal 1/32 binary64) i))
(/.f64 #s(literal 1/32 binary64) i)
(*.f64 #s(literal 4 binary64) i)
(*.f64 #s(literal -1/2 binary64) i)

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ (* (* 4 i) i) -1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* 1/4 i) i) (* 1/4 i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (* 1/8 i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (+ (* 1/8 i) 1/16) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (* (* (- (* -1/2 i) 1/4) i) i) (* (- (* -1/2 i) 1/4) i) (- (* -1/2 i) 1/4) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (- (+ (* 1/8 i) (/ 1/32 i)) -1/16) (+ (* 1/8 i) (/ 1/32 i)) (/ 1/32 i) (* 4 i) (* -1/2 i))

3.0ms

-inf

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ (* (* 4 i) i) -1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* 1/4 i) i) (* 1/4 i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (* 1/8 i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (+ (* 1/8 i) 1/16) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (* (* (- (* -1/2 i) 1/4) i) i) (* (- (* -1/2 i) 1/4) i) (- (* -1/2 i) 1/4) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (- (+ (* 1/8 i) (/ 1/32 i)) -1/16) (+ (* 1/8 i) (/ 1/32 i)) (/ 1/32 i) (* 4 i) (* -1/2 i))

2.0ms

((/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ (* (* 4 i) i) -1)) (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (* (* 1/4 i) i) (* 1/4 i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (* 1/8 i) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (+ (* 1/8 i) 1/16) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (* (* (- (* -1/2 i) 1/4) i) i) (* (- (* -1/2 i) 1/4) i) (- (* -1/2 i) 1/4) (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (- (+ (* 1/8 i) (/ 1/32 i)) -1/16) (+ (* 1/8 i) (/ 1/32 i)) (/ 1/32 i) (* 4 i) (* -1/2 i))

simplify152.0ms (3%)

Memory

1.6MiB live, 90.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	308
1	344	306
2	948	291
3	2687	288
4	7806	288
0	8466	275

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

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

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

rewrite268.0ms (5.3%)

Memory

-52.6MiB live, 125.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	220
0	53	196
1	208	184
2	1545	160
0	8434	160

Stop Event

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

Counts

18 → 178

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 #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))
(.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))) (+ i (- i 1))) (*.f64 #s(literal 1/8 binary64) i))
(*.f64 #s(literal 1/8 binary64) i)
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (fma.f64 #s(literal 1/8 binary64) i #s(literal 1/16 binary64)))
(fma.f64 #s(literal 1/8 binary64) i #s(literal 1/16 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (.f64 (.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)) i) i))
(.f64 (.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)) i) i)
(.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)) i)
(-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (-.f64 (fma.f64 #s(literal 1/8 binary64) i (/.f64 #s(literal 1/32 binary64) i)) #s(literal -1/16 binary64)))
(-.f64 (fma.f64 #s(literal 1/8 binary64) i (/.f64 #s(literal 1/32 binary64) i)) #s(literal -1/16 binary64))
(fma.f64 #s(literal 1/8 binary64) i (/.f64 #s(literal 1/32 binary64) i))
(/.f64 #s(literal 1/32 binary64) i)
(*.f64 #s(literal 4 binary64) i)
(*.f64 #s(literal -1/2 binary64) i)

Outputs
(.f64 (/.f64 #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 (.f64 (*.f64 #s(literal 4 binary64) i) i) #s(literal -1 binary64)))
(.f64 (/.f64 #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 #s(literal 4 binary64) i) i) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i))))) (neg.f64 (neg.f64 (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 #s(literal 1/4 binary64) i) i)) (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) i) #s(literal 6 binary64)) #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 16 binary64) (pow.f64 i #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 4 binary64) i) i) #s(literal -1 binary64))))))
(/.f64 (.f64 #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(/.f64 (.f64 #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 4 binary64) i) i) #s(literal -1 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 #s(literal 4 binary64) i) i) #s(literal -1 binary64))))))
(/.f64 (.f64 #s(approx (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 12 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 4 binary64) i) i) #s(literal -1 binary64))) #s(literal 3 binary64)))) (.f64 (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) i) #s(literal 8 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 4 binary64) i) i) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 16 binary64) (pow.f64 i #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 #s(literal 4 binary64) i) i) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)))) (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 #s(literal 1/4 binary64) i) i))) (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 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i))) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) 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))
(.f64 (neg.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) i))) (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) i))))
(.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) i)) (neg.f64 (*.f64 #s(literal 1/2 binary64) i)))
(.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) i)) (fabs.f64 (*.f64 #s(literal 1/2 binary64) i)))
(.f64 (.f64 #s(literal 1/4 binary64) (neg.f64 i)) (neg.f64 i))
(.f64 (.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal -1/2 binary64)) i)
(.f64 (.f64 (*.f64 #s(literal -1/2 binary64) i) i) #s(literal -1/2 binary64))
(.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) i)) (neg.f64 (*.f64 #s(literal -1/2 binary64) i)))
(.f64 (.f64 #s(literal 1/2 binary64) i) (*.f64 #s(literal 1/2 binary64) i))
(.f64 (.f64 #s(literal -1/2 binary64) i) (*.f64 #s(literal -1/2 binary64) i))
(.f64 #s(literal -1/2 binary64) (.f64 i (*.f64 #s(literal -1/2 binary64) 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 -1/2 binary64) (*.f64 #s(literal -1/2 binary64) i)))
(.f64 i (.f64 #s(literal 1/4 binary64) i))
(pow.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) i)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) i) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 2 binary64))
(fabs.f64 (.f64 (.f64 #s(literal 1/4 binary64) i) i))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) i)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) i)
(*.f64 i #s(literal 1/4 binary64))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (*.f64 #s(literal 1/8 binary64) i))
(*.f64 #s(literal 1/8 binary64) i)
(*.f64 i #s(literal 1/8 binary64))
(sqrt.f64 (.f64 #s(literal 1/64 binary64) (.f64 i i)))
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) i)))
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(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) i) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 i i) (.f64 (/.f64 #s(literal 1/32 binary64) i) (-.f64 (/.f64 #s(literal 1/32 binary64) i) (.f64 #s(literal 1/8 binary64) i))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 i i) (.f64 (/.f64 #s(literal 1/32 binary64) i) (-.f64 (/.f64 #s(literal 1/32 binary64) i) (.f64 #s(literal 1/8 binary64) i))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) i) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 i i) (.f64 (/.f64 #s(literal 1/32 binary64) i) (-.f64 (/.f64 #s(literal 1/32 binary64) i) (.f64 #s(literal 1/8 binary64) i))))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) i) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 i i) (.f64 (/.f64 #s(literal 1/32 binary64) i) (-.f64 (/.f64 #s(literal 1/32 binary64) i) (.f64 #s(literal 1/8 binary64) i))))) (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 i i) (.f64 (/.f64 #s(literal 1/32 binary64) i) (-.f64 (/.f64 #s(literal 1/32 binary64) i) (.f64 #s(literal 1/8 binary64) i))))) (/.f64 (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 i i) (.f64 (/.f64 #s(literal 1/32 binary64) i) (-.f64 (/.f64 #s(literal 1/32 binary64) i) (.f64 #s(literal 1/8 binary64) i)))))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) i) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 i i) (.f64 (/.f64 #s(literal 1/32 binary64) i) (-.f64 (/.f64 #s(literal 1/32 binary64) i) (.f64 #s(literal 1/8 binary64) i))))) (/.f64 (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 i i) (.f64 (/.f64 #s(literal 1/32 binary64) i) (-.f64 (/.f64 #s(literal 1/32 binary64) i) (.f64 #s(literal 1/8 binary64) i)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 2 binary64)) (.f64 #s(literal 1/64 binary64) (.f64 i i)))) (neg.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) i) (*.f64 #s(literal 1/8 binary64) i))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 i i)) (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) i) (/.f64 #s(literal 1/32 binary64) i)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 i i) (.f64 (/.f64 #s(literal 1/32 binary64) i) (-.f64 (/.f64 #s(literal 1/32 binary64) i) (*.f64 #s(literal 1/8 binary64) i)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 i i)) (-.f64 (.f64 #s(literal 1/8 binary64) i) (/.f64 #s(literal 1/32 binary64) i))) (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) i) (/.f64 #s(literal 1/32 binary64) i)) (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 2 binary64)))) (pow.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) i) (/.f64 #s(literal 1/32 binary64) i)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) i) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 i i) (.f64 (/.f64 #s(literal 1/32 binary64) i) (-.f64 (/.f64 #s(literal 1/32 binary64) i) (.f64 #s(literal 1/8 binary64) i)))) (.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 i i) (.f64 (/.f64 #s(literal 1/32 binary64) i) (-.f64 (/.f64 #s(literal 1/32 binary64) i) (.f64 #s(literal 1/8 binary64) i)))) (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 i i) (.f64 (/.f64 #s(literal 1/32 binary64) i) (-.f64 (/.f64 #s(literal 1/32 binary64) i) (*.f64 #s(literal 1/8 binary64) i)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 2 binary64)) (.f64 #s(literal 1/64 binary64) (.f64 i i))) (-.f64 (/.f64 #s(literal 1/32 binary64) i) (*.f64 #s(literal 1/8 binary64) i)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 i i)) (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) i) (/.f64 #s(literal 1/32 binary64) i))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 i i)) (.f64 (/.f64 #s(literal 1/32 binary64) i) (.f64 #s(literal 1/8 binary64) i))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 i i) (.f64 (/.f64 #s(literal 1/32 binary64) i) (-.f64 (/.f64 #s(literal 1/32 binary64) i) (*.f64 #s(literal 1/8 binary64) i))))))
(/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 i i)) (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/8 binary64) i) (/.f64 #s(literal 1/32 binary64) i)))
(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 i i)) (.f64 (/.f64 #s(literal 1/32 binary64) i) (.f64 #s(literal 1/8 binary64) i)))))
(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (.f64 i i) (.f64 (/.f64 #s(literal 1/32 binary64) i) (-.f64 (/.f64 #s(literal 1/32 binary64) i) (*.f64 #s(literal 1/8 binary64) i)))))
(fma.f64 #s(literal 1/8 binary64) i (/.f64 #s(literal 1/32 binary64) i))
(fma.f64 i #s(literal 1/8 binary64) (/.f64 #s(literal 1/32 binary64) i))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/32 binary64) i) (.f64 #s(literal 1/8 binary64) i))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 i i)) (-.f64 (/.f64 #s(literal 1/32 binary64) i) (.f64 #s(literal 1/8 binary64) i))))
(-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 i i)) (-.f64 (.f64 #s(literal 1/8 binary64) i) (/.f64 #s(literal 1/32 binary64) i))) (/.f64 (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) i) (/.f64 #s(literal 1/32 binary64) i))))
(-.f64 (/.f64 #s(literal 1/32 binary64) i) (*.f64 #s(literal -1/8 binary64) i))
(-.f64 (/.f64 #s(literal 1/32 binary64) i) (*.f64 (neg.f64 i) #s(literal 1/8 binary64)))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 i i)) (.f64 (/.f64 #s(literal 1/32 binary64) i) (.f64 #s(literal 1/8 binary64) i))))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) i) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 i i)) (.f64 (/.f64 #s(literal 1/32 binary64) i) (*.f64 #s(literal 1/8 binary64) i))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) i) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 i i)) (.f64 (/.f64 #s(literal 1/32 binary64) i) (.f64 #s(literal 1/8 binary64) i))))) (/.f64 (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 i i)) (.f64 (/.f64 #s(literal 1/32 binary64) i) (*.f64 #s(literal 1/8 binary64) i))))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 i i) (.f64 (/.f64 #s(literal 1/32 binary64) i) (-.f64 (/.f64 #s(literal 1/32 binary64) i) (.f64 #s(literal 1/8 binary64) i))))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) i) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 i i) (.f64 (/.f64 #s(literal 1/32 binary64) i) (-.f64 (/.f64 #s(literal 1/32 binary64) i) (*.f64 #s(literal 1/8 binary64) i))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) i) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 i i) (.f64 (/.f64 #s(literal 1/32 binary64) i) (-.f64 (/.f64 #s(literal 1/32 binary64) i) (.f64 #s(literal 1/8 binary64) i))))) (/.f64 (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (.f64 i i) (.f64 (/.f64 #s(literal 1/32 binary64) i) (-.f64 (/.f64 #s(literal 1/32 binary64) i) (*.f64 #s(literal 1/8 binary64) i))))))
(+.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 i i)) (-.f64 (.f64 #s(literal 1/8 binary64) i) (/.f64 #s(literal 1/32 binary64) i))) (/.f64 (.f64 (neg.f64 (/.f64 #s(literal 1/32 binary64) i)) (/.f64 #s(literal 1/32 binary64) i)) (-.f64 (*.f64 #s(literal 1/8 binary64) i) (/.f64 #s(literal 1/32 binary64) i))))
(+.f64 (/.f64 #s(literal 1/32 binary64) i) (*.f64 #s(literal 1/8 binary64) i))
(+.f64 (*.f64 #s(literal 1/8 binary64) i) (/.f64 #s(literal 1/32 binary64) i))
(/.f64 #s(literal -1/32 binary64) (neg.f64 (neg.f64 (neg.f64 i))))
(/.f64 #s(literal -1/32 binary64) (neg.f64 i))
(/.f64 #s(literal 1/32 binary64) (neg.f64 (neg.f64 i)))
(/.f64 #s(literal 1/32 binary64) i)
(neg.f64 (/.f64 #s(literal -1/32 binary64) i))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1/32 binary64) i) #s(literal 2 binary64)))
(fabs.f64 (/.f64 #s(literal -1/32 binary64) i))
(fabs.f64 (neg.f64 (/.f64 #s(literal 1/32 binary64) i)))
(fabs.f64 (/.f64 #s(literal 1/32 binary64) i))
(*.f64 #s(literal 4 binary64) i)
(.f64 (.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) i))
(*.f64 i #s(literal 4 binary64))
(*.f64 #s(literal -1/2 binary64) i)
(*.f64 i #s(literal -1/2 binary64))

eval34.0ms (0.7%)

Memory: 17.5MiB live, 61.0MiB allocated
Compiler: Compiled 9 462 to 930 computations (90.2% saved)

prune12.0ms (0.2%)

Memory

31.6MiB live, 31.6MiB allocated

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	208	2	210
Fresh	0	1	1
Picked	1	4	5
Done	0	6	6
Total	209	13	222

Accuracy

100.0%

Counts

222 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.9%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
✓	53.6%	(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (+.f64 i (-.f64 i #s(literal 1 binary64))))
✓	48.2%	#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)))
✓	51.7%	#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)))
✓	51.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) i) i))
✓	51.7%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i))
✓	48.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))
✓	4.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (fma.f64 #s(literal 1/8 binary64) i #s(literal 1/16 binary64)))
✓	3.8%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (-.f64 (fma.f64 #s(literal 1/8 binary64) i (/.f64 #s(literal 1/32 binary64) i)) #s(literal -1/16 binary64)))
	51.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)) (*.f64 i i)))
	51.4%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/4 binary64)) i) i))
	51.3%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (.f64 (.f64 (-.f64 (*.f64 (-.f64 (neg.f64 i) #s(literal 1/2 binary64)) i) #s(literal 1/4 binary64)) i) i))
✓	5.2%	#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (*.f64 #s(literal 1/8 binary64) i))

Compiler

Compiled 1 032 to 312 computations (69.8% saved)

regimes54.0ms (1.1%)

Memory

-58.5MiB live, 8.6MiB allocated

Counts

21 → 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))) (+ i (- i 1))) (*.f64 #s(literal 1/8 binary64) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (fma.f64 #s(literal 1/8 binary64) i #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))) (+ i (- i 1))) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/4 binary64)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (.f64 (.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) 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 #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))) (+ i (- i 1))) (-.f64 (fma.f64 #s(literal 1/8 binary64) i (/.f64 #s(literal 1/32 binary64) 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)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (.f64 (.f64 (-.f64 (*.f64 (-.f64 (neg.f64 i) #s(literal 1/2 binary64)) i) #s(literal 1/4 binary64)) i) i))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (+.f64 i (-.f64 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)) (fma.f64 (*.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64)))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (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)) (fma.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)))
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (fma.f64 (*.f64 i #s(literal 4 binary64)) i #s(literal -1 binary64)))
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Outputs

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

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

Calls

2 calls:

48.0ms

5.0ms

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

Results

Accuracy	Segments	Branch
80.9%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
100.0%	2	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

regimes5.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

14 → 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))) (+ i (- i 1))) (*.f64 #s(literal 1/8 binary64) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (fma.f64 #s(literal 1/8 binary64) i #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))) (+ i (- i 1))) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/4 binary64)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (.f64 (.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) 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 #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))) (+ i (- i 1))) (-.f64 (fma.f64 #s(literal 1/8 binary64) i (/.f64 #s(literal 1/32 binary64) 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)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (.f64 (.f64 (-.f64 (*.f64 (-.f64 (neg.f64 i) #s(literal 1/2 binary64)) i) #s(literal 1/4 binary64)) i) i))
(/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (+.f64 i (-.f64 i #s(literal 1 binary64))))

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.8%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated

Counts

8 → 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))) (+ i (- i 1))) (*.f64 #s(literal 1/8 binary64) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (fma.f64 #s(literal 1/8 binary64) i #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))) (+ i (- i 1))) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/4 binary64)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (.f64 (.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) 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 #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 (-.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:

3.0ms

Results

Accuracy	Segments	Branch
98.4%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB allocated

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))) (+ i (- i 1))) (*.f64 #s(literal 1/8 binary64) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (fma.f64 #s(literal 1/8 binary64) i #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))) (+ i (- i 1))) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) i #s(literal -1/4 binary64)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (.f64 (.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/4 binary64)) i) i))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) 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(literal -1/4 binary64) i) i))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.3%	2	`i`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated

Accuracy

Total -28.3b remaining (-85.7%)

Threshold costs -28.3b (-85.7%)

Counts

3 → 1

Calls

Call 1

Inputs

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

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (*.f64 #s(literal 1/8 binary64) i))

#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (+ i (- i 1))) (fma.f64 #s(literal 1/8 binary64) i #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:

2.0ms

1.0ms

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

Results

Accuracy	Segments	Branch
48.4%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
48.4%	1	`i`

Compiler

Compiled 26 to 11 computations (57.7% saved)

bsearch4.0ms (0.1%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	64344.81896770349	29126194085.877075

Samples

2.0ms

32×

valid

Compiler

Compiled 138 to 74 computations (46.4% saved)

Precisions

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

ival-mult: 1.0ms (78.9% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch4.0ms (0.1%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.47689438447961546	0.5508413797731573

Samples

2.0ms

32×

valid

Compiler

Compiled 164 to 82 computations (50% saved)

Precisions

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

ival-mult: 1.0ms (77% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.47689438447961546	0.5508413797731573

Compiler

Compiled 152 to 74 computations (51.3% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.47689438447961546	0.5508413797731573

Compiler

Compiled 144 to 70 computations (51.4% saved)

simplify57.0ms (1.1%)

Memory

-10.4MiB live, 33.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	286
1	85	268
2	426	232
3	3232	232

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 i #s(literal 50000000 binary64)) (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i) i)) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i) i)) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

Outputs
(if (<=.f64 i #s(literal 50000000 binary64)) (/.f64 #s(approx (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (.f64 (.f64 #s(literal 1/4 binary64) i) i)) (fma.f64 (.f64 #s(literal 4 binary64) i) i #s(literal -1 binary64))) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i) i)) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal 1/16 binary64))))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 (-.f64 #s(literal -1/4 binary64) (.f64 i i)) i) i)) #s(approx (/ (/ ( (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
(if (<=.f64 i #s(literal 1/2 binary64)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) (.f64 (.f64 #s(literal -1/4 binary64) i) i)) #s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64)))
#s(approx (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) #s(literal 1/16 binary64))

derivations636.0ms (12.6%)

Memory

2.8MiB live, 574.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	245
0	52	207
1	160	195
2	1012	133
0	10006	131
0	49	123
1	92	123
2	206	123
3	491	123
4	1133	123
5	1574	123
6	1835	123
7	2009	123
8	2023	123
9	2023	123
10	2023	123
11	2453	123
12	3372	123
13	3378	123
14	3404	123
15	3768	123
16	4472	123
17	5051	123
18	5731	123
19	7691	123
0	8085	121
0	36	250
0	56	218
1	232	204
2	1648	180
0	9046	176
0	68	204
1	165	204
2	514	190
3	1988	190
4	5568	190
0	8348	190

Stop Event

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

Compiler

Compiled 286 to 42 computations (85.3% saved)

preprocess31.0ms (0.6%)

Memory: 28.8MiB live, 73.4MiB allocated
Remove: (abs i)
Compiler: Compiled 740 to 152 computations (79.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze3.0ms (0.1%)

sample1.2s (24.2%)

explain159.0ms (3.1%)

preprocess158.0ms (3.1%)

eval0.0ms (0%)

prune36.0ms (0.7%)

simplify171.0ms (3.4%)

localize33.0ms (0.6%)

series9.0ms (0.2%)

simplify153.0ms (3%)

rewrite51.0ms (1%)

eval39.0ms (0.8%)

prune8.0ms (0.2%)

simplify180.0ms (3.6%)

localize61.0ms (1.2%)

series8.0ms (0.2%)

simplify100.0ms (2%)

rewrite167.0ms (3.3%)

eval265.0ms (5.2%)

prune41.0ms (0.8%)

simplify91.0ms (1.8%)

localize123.0ms (2.4%)

series20.0ms (0.4%)

simplify91.0ms (1.8%)

rewrite201.0ms (4%)

eval124.0ms (2.5%)

prune20.0ms (0.4%)

simplify138.0ms (2.7%)

localize109.0ms (2.1%)

series8.0ms (0.2%)

simplify152.0ms (3%)

rewrite268.0ms (5.3%)

eval34.0ms (0.7%)

prune12.0ms (0.2%)

regimes54.0ms (1.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch4.0ms (0.1%)

bsearch4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify57.0ms (1.1%)

derivations636.0ms (12.6%)

preprocess31.0ms (0.6%)

end0.0ms (0%)

Profiling