Metrics for Octave 3.8, jcobi/4, as called

analyze3.0ms (0%)

Memory

5.0MiB live, 5.0MiB 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)

sample1.0s (18.3%)

Memory

-119.8MiB live, 1 587.4MiB allocated

Samples

568.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 387.0ms

ival-mult: 198.0ms (51.1% of total)

ival-div: 95.0ms (24.5% of total)

ival-sub: 59.0ms (15.2% of total)

ival->: 21.0ms (5.4% of total)

exact: 12.0ms (3.1% of total)

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

Bogosity

preprocess402.0ms (7.1%)

Memory

-7.1MiB live, 808.4MiB allocated

Algorithm

2×	egg-herbie

Rules

7 204×	`accelerator-lowering-fma.f32`
7 204×	`accelerator-lowering-fma.f64`
5 094×	`-lowering-.f32`
5 094×	`-lowering-.f64`
3 164×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	64
1	84	58
2	559	39
3	4330	39
0	10	21
1	38	19
2	178	13
3	1053	13
4	3631	11
5	5272	11
6	7303	11
0	8016	10

Stop Event

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

Calls

Call 1

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

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

Call 2

Inputs

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

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

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

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

Symmetry

(abs i)

explain205.0ms (3.6%)

Memory

2.4MiB live, 236.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
191	2	(1.3915167795276279e-161)	-	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
66	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	67	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	104
↳	`(*.f64 i i)`	underflow	134
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	67
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/o	66	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	89
↳	`(*.f64 i i)`	overflow	132
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	66
`/.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	66	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	89
↳	`(*.f64 i i)`	overflow	132
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	66
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	66
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	66
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	66
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	37	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	104
↳	`(*.f64 i i)`	underflow	134
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	23	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	89
↳	`(*.f64 i i)`	overflow	132

Confusion

	Predicted +	Predicted -
+	191	0
-	2	63

Precision

0.9896373056994818

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	191	0	0
-	2	0	63

Precision?

0.9896373056994818

Recall?

1.0

Freqs

test

number	freq
0	63
1	127
2	66

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 200 to 44 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 11.0ms (53% of total)

ival-div: 6.0ms (28.9% of total)

ival-sub: 2.0ms (9.6% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.5%	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

27.5%

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

Compiler

Compiled 26 to 10 computations (61.5% saved)

simplify328.0ms (5.8%)

Memory

-11.7MiB live, 504.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 i i) (*.f64 i i))
✓	cost-diff	128	(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
✓	cost-diff	128	(/.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)))
✓	cost-diff	512	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Rules

7 204×	`accelerator-lowering-fma.f32`
7 204×	`accelerator-lowering-fma.f64`
5 094×	`-lowering-.f32`
5 094×	`-lowering-.f64`
3 164×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	62
1	38	56
2	178	42
3	1053	42
4	3631	40
5	5272	40
6	7303	40
0	8016	38

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize32.0ms (0.6%)

Memory

26.0MiB live, 64.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
✓	accuracy	99.9%	(.f64 (.f64 i i) (*.f64 i i))
✓	accuracy	75.0%	(/.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)))
✓	accuracy	33.4%	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Samples

19.0ms

256×

valid

Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions

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

ival-mult: 6.0ms (59.5% of total)

ival-div: 3.0ms (29.7% of total)

ival-sub: 1.0ms (9.9% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))>
#<alt (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))>
#<alt (* (* 2 i) (* 2 i))>
#<alt (* (* i i) (* i i))>
#<alt (- (* (* 2 i) (* 2 i)) 1)>

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

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	i	@	0	(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))
1.0ms	i	@	inf	(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
0.0ms	i	@	inf	(/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i)))
0.0ms	i	@	0	(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))
0.0ms	i	@	inf	(* (* 2 i) (* 2 i))

rewrite337.0ms (5.9%)

Memory

13.7MiB live, 525.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 046×	`-lowering-.f32`
5 046×	`-lowering-.f64`
4 332×	`/-lowering-/.f32`
4 332×	`/-lowering-/.f64`
4 096×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	47
1	68	41
2	647	29
0	8818	27

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 689

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 i #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 i i))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 i)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (.f64 i #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 i (.f64 i #s(literal -4 binary64)))) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(neg.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(/.f64 i (/.f64 #s(literal 4 binary64) i))
(/.f64 (*.f64 i i) #s(literal 4 binary64))
(/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 (*.f64 i i) #s(literal 4 binary64)))
(/.f64 (/.f64 i (/.f64 #s(literal 4 binary64) i)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 i (.f64 i #s(literal 2 binary64))) (/.f64 (.f64 i (.f64 i (*.f64 i i))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) (/.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 i (/.f64 (.f64 i (.f64 i i)) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i i)))) (.f64 i (*.f64 i #s(literal -4 binary64))))
(/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 i i)) (/.f64 #s(literal 1 binary64) (.f64 i (.f64 i (.f64 i i)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 (.f64 i (.f64 i i)) (*.f64 i #s(literal 4 binary64)))
(/.f64 (/.f64 (.f64 i (.f64 i i)) #s(literal 2 binary64)) (*.f64 i #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 i (.f64 i i)) #s(literal 2 binary64)) (neg.f64 (*.f64 i #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal -4 binary64))
(/.f64 (/.f64 (.f64 i (.f64 i i)) #s(literal -2 binary64)) (*.f64 i #s(literal -2 binary64)))
(/.f64 (/.f64 i #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) i))
(/.f64 (/.f64 (*.f64 i i) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (.f64 i i) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) i) i))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 i i)))
(/.f64 (/.f64 i #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) i))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(/.f64 (/.f64 #s(literal 1/4 binary64) i) (/.f64 #s(literal 1 binary64) (.f64 i (.f64 i i))))
(/.f64 (/.f64 #s(literal 1/2 binary64) i) (/.f64 #s(literal 2 binary64) (.f64 i (.f64 i i))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i i))) (*.f64 i #s(literal -4 binary64)))
(/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 2 binary64)) (.f64 i (*.f64 i #s(literal 2 binary64))))
(/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 4 binary64)) (.f64 i i))
(/.f64 (/.f64 (.f64 i (.f64 i i)) #s(literal 4 binary64)) i)
(/.f64 (.f64 (/.f64 i (/.f64 #s(literal 4 binary64) i)) (.f64 i i)) (*.f64 i i))
(/.f64 (*.f64 (/.f64 i (/.f64 #s(literal 4 binary64) i)) i) i)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 i i)) #s(literal 1 binary64)) (.f64 (.f64 i #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) i)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i i))))) (.f64 i (.f64 i #s(literal -4 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 i i)) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 i i)) (.f64 (/.f64 #s(literal 2 binary64) i) (.f64 i #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) i) (.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))
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(.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 i (*.f64 i #s(literal -4 binary64)))))
(.f64 (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 i (*.f64 i #s(literal -4 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 i (.f64 i #s(literal -4 binary64)))) (.f64 (+.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 i (.f64 i #s(literal -4 binary64)))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 i (.f64 i #s(literal -4 binary64)))) (/.f64 (+.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 i (*.f64 i #s(literal -4 binary64))))))
(.f64 (+.f64 (.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 (.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal -2 binary64)))))
(.f64 (+.f64 (.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 (neg.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) (.f64 (.f64 i i) (.f64 (*.f64 i i) #s(literal 16 binary64))))))))
(.f64 (+.f64 (neg.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 16 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 i (*.f64 i #s(literal -4 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 16 binary64)))))) (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (*.f64 i i)) #s(literal 64 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 i (.f64 i #s(literal -4 binary64))))) (+.f64 (.f64 (.f64 i i) (.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 i #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 i #s(literal -2 binary64))))
(.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 i #s(literal -2 binary64)))) (+.f64 (*.f64 i #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64))) (+.f64 (.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 i (.f64 i #s(literal -4 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 i (.f64 i #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 i (.f64 i #s(literal -4 binary64)))))))) (+.f64 (.f64 #s(literal 256 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i i))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 i (.f64 i #s(literal -4 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 i (.f64 i #s(literal -4 binary64)))) (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 16 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 16 binary64))))) (-.f64 (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))) (-.f64 (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (+.f64 #s(literal 1 binary64) (.f64 i (*.f64 i #s(literal -4 binary64)))))

simplify516.0ms (9.1%)

Memory

-17.6MiB live, 778.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 840×	`accelerator-lowering-fma.f32`
16 840×	`accelerator-lowering-fma.f64`
4 084×	`-lowering-.f32`
4 084×	`-lowering-.f64`
1 760×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	365
1	94	365
2	218	364
3	503	360
4	1053	360
5	2102	360
6	4010	360
7	6212	360
0	8170	348

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval87.0ms (1.5%)

Memory: 22.2MiB live, 206.0MiB allocated
Compiler: Compiled 22 518 to 1 883 computations (91.6% saved)

prune103.0ms (1.8%)

Memory

-8.2MiB live, 277.1MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	795	5	800
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	796	5	801

Accuracy

100.0%

Counts

801 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
▶	47.8%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
▶	74.9%	(.f64 (/.f64 i (+.f64 (.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 i #s(literal 4 binary64)))
▶	52.2%	(.f64 i (.f64 i #s(literal -1/4 binary64)))
▶	48.0%	#s(literal 1/16 binary64)

Compiler

Compiled 80 to 58 computations (27.5% saved)

simplify7.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 i i) #s(literal 4 binary64))
✓	cost-diff	0	(+.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 i (+.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	cost-diff	128	(.f64 (/.f64 i (+.f64 (.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 i #s(literal 4 binary64)))
✓	cost-diff	0	(*.f64 i i)
✓	cost-diff	0	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
✓	cost-diff	0	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓	cost-diff	0	(*.f64 i #s(literal -1/4 binary64))
✓	cost-diff	0	(.f64 i (.f64 i #s(literal -1/4 binary64)))
✓	cost-diff	0	(*.f64 i i)
✓	cost-diff	0	(/.f64 #s(literal -4 binary64) (*.f64 i i))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))

Rules

68×	`-lowering-.f32`
68×	`-lowering-.f64`
34×	`/-lowering-/.f32`
34×	`/-lowering-/.f64`
22×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	100
1	42	100
2	54	100
3	62	100
4	71	98
5	79	98
6	82	98
0	82	95

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ 1 (+ (/ -4 (* i i)) 16))
1
(+ (/ -4 (* i i)) 16)
(/ -4 (* i i))
-4
(* i i)
i
16
1/16
(* i (* i -1/4))
i
(* i -1/4)
-1/4
(+ 1/16 (/ 1/64 (* i i)))
1/16
(/ 1/64 (* i i))
1/64
(* i i)
i
(* (/ i (+ (* (* i i) 4) -1)) (/ i 4))
(/ i (+ (* (* i i) 4) -1))
i
(+ (* (* i i) 4) -1)
(* (* i i) 4)
(* i i)
4
-1
(/ i 4)

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

localize64.0ms (1.1%)

Memory

-2.4MiB live, 156.2MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64))
✓	accuracy	100.0%	(.f64 (.f64 i i) #s(literal 4 binary64))
✓	accuracy	99.9%	(.f64 (/.f64 i (+.f64 (.f64 (*.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 i #s(literal 4 binary64)))
✓	accuracy	75.8%	(/.f64 i (+.f64 (.f64 (.f64 i i) #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	99.4%	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
✓	accuracy	100.0%	(.f64 i (.f64 i #s(literal -1/4 binary64)))
✓	accuracy	100.0%	(*.f64 i #s(literal -1/4 binary64))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	99.1%	(/.f64 #s(literal -4 binary64) (*.f64 i i))
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))

Samples

39.0ms

256×

valid

Compiler

Compiled 102 to 24 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 13.0ms (53% of total)

ival-mult: 8.0ms (32.6% of total)

ival-add: 3.0ms (12.2% of total)

exact: 1.0ms (4.1% of total)

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

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

series10.0ms (0.2%)

Memory

-23.2MiB live, 15.2MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#<alt (/ 1 (+ (/ -4 (* i i)) 16))>
#<alt (+ (/ -4 (* i i)) 16)>
#<alt (/ -4 (* i i))>
#<alt (* i i)>
#<alt (* i (* i -1/4))>
#<alt (* i -1/4)>
#<alt (+ 1/16 (/ 1/64 (* i i)))>
#<alt (/ 1/64 (* i i))>
#<alt (* (/ i (+ (* (* i i) 4) -1)) (/ i 4))>
#<alt (/ i (+ (* (* i i) 4) -1))>
#<alt (+ (* (* i i) 4) -1)>
#<alt (* (* i i) 4)>

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

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	i	@	inf	(/ i (+ (* (* i i) 4) -1))
1.0ms	i	@	0	(/ -4 (* i i))
0.0ms	i	@	inf	(* i (* i -1/4))
0.0ms	i	@	0	(/ 1/64 (* i i))
0.0ms	i	@	0	(* i -1/4)

rewrite394.0ms (7%)

Memory

2.2MiB live, 566.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 614×	`accelerator-lowering-fma.f32`
5 614×	`accelerator-lowering-fma.f64`
5 012×	`-lowering-.f32`
5 012×	`-lowering-.f64`
3 950×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	78
1	121	78
2	890	76
0	8892	70

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 513

Calls

Call 1

Inputs
(/ 1 (+ (/ -4 (* i i)) 16))
(+ (/ -4 (* i i)) 16)
(/ -4 (* i i))
(* i i)
(* i (* i -1/4))
(* i -1/4)
(+ 1/16 (/ 1/64 (* i i)))
(/ 1/64 (* i i))
(* (/ i (+ (* (* i i) 4) -1)) (/ i 4))
(/ i (+ (* (* i i) 4) -1))
(+ (* (* i i) 4) -1)
(* (* i i) 4)

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))) #s(literal 4096 binary64))) (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))) #s(literal 4096 binary64))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (.f64 i i)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))) #s(literal 4096 binary64))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (.f64 i i)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))) #s(literal 4096 binary64))) (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) #s(literal -256 binary64))) (/.f64 #s(literal -4 binary64) (.f64 i i))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (*.f64 i i)))) #s(literal -256 binary64))) #s(literal -16 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))) #s(literal 4096 binary64)))) (.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))) #s(literal 4096 binary64)))))
(+.f64 (.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))) #s(literal 4096 binary64)))) (.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))) #s(literal 4096 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) #s(literal -256 binary64)))) (.f64 #s(literal -16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (*.f64 i i)))) #s(literal -256 binary64)))))
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 16 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) #s(literal 256 binary64)) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))) #s(literal 4096 binary64))) (/.f64 (/.f64 #s(literal -64 binary64) (.f64 i i)) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))) #s(literal 4096 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) #s(literal -256 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (*.f64 i i)))) #s(literal -256 binary64))))
(fma.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) #s(literal -256 binary64))) (.f64 #s(literal -16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) #s(literal -256 binary64)))))
(fma.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))) #s(literal 4096 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (.f64 i i)) (.f64 i (.f64 i (*.f64 i i)))) #s(literal 4096 binary64)))))
(fma.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))) #s(literal 4096 binary64))) (.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (.f64 i i)) (.f64 i (.f64 i (*.f64 i i)))) #s(literal 4096 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))) #s(literal 4096 binary64))) (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))) #s(literal 4096 binary64))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (*.f64 i i)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))) #s(literal 4096 binary64))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (.f64 i i))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))) #s(literal 4096 binary64))) (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (*.f64 i i))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) #s(literal -256 binary64))) (/.f64 #s(literal -4 binary64) (.f64 i i)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) #s(literal -256 binary64))) #s(literal -16 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64))))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 16 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (.f64 i i)))) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))) #s(literal 4096 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal -16 binary64)) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) #s(literal -256 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (.f64 i i))))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))) #s(literal 4096 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal 16 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) #s(literal -256 binary64))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))) #s(literal 4096 binary64))) (+.f64 (.f64 (/.f64 (/.f64 #s(literal -64 binary64) (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))) (/.f64 (/.f64 #s(literal -64 binary64) (.f64 i i)) (.f64 i (.f64 i (.f64 i i))))) (.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (.f64 i i))) (.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (.f64 i i))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (.f64 i i))))))) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) (.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i))))) (.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (.f64 i i))) (-.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (.f64 i i))) (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i))))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))) #s(literal 4096 binary64))) (.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (.f64 i i)))) (-.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (.f64 i i)))))) (-.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 64 binary64) (.f64 i i)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) #s(literal -256 binary64))) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) #s(literal -256 binary64))) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 16 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) #s(literal -256 binary64))) (+.f64 (/.f64 (/.f64 #s(literal -64 binary64) (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))) #s(literal -4096 binary64))) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -64 binary64) (.f64 i i)))))
(pow.f64 (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 16 binary64)) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal 16 binary64))))
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(/.f64 (.f64 (+.f64 (.f64 #s(literal 256 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i i))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal -1 binary64)))) (+.f64 (.f64 (.f64 i i) (.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (.f64 i i)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (*.f64 i i))))
(.f64 (+.f64 (.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 i (.f64 i i)) (/.f64 (.f64 i (.f64 i i)) #s(literal 1/64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 16 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (.f64 i i))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 i (.f64 i i)) (/.f64 (.f64 i (.f64 i i)) #s(literal 1/64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal -4 binary64))))))
(.f64 (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64))))
(.f64 (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 i (.f64 i #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal -1 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 (.f64 i (.f64 i i)) #s(literal 1/64 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 16 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (.f64 i i)))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 #s(literal -4 binary64) (*.f64 i i)))))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -4 binary64) (.f64 i i)))
(neg.f64 (.f64 #s(literal -4 binary64) (.f64 i i)))
(.f64 #s(literal 1 binary64) (.f64 i (*.f64 i #s(literal 4 binary64))))
(.f64 #s(literal -4 binary64) (.f64 (*.f64 i i) #s(literal -1 binary64)))
(.f64 i (.f64 i #s(literal 4 binary64)))
(.f64 i (neg.f64 (.f64 i #s(literal -4 binary64))))
(.f64 (.f64 i i) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (.f64 i i))
(.f64 #s(literal 4 binary64) (neg.f64 (.f64 (*.f64 i i) #s(literal -1 binary64))))
(.f64 (.f64 i (*.f64 i #s(literal 4 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -4 binary64) (*.f64 i i)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 i i)) #s(literal -4 binary64))
(.f64 (-.f64 #s(literal 0 binary64) i) (.f64 i #s(literal -4 binary64)))
(.f64 (.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64))
(.f64 (.f64 i #s(literal 4 binary64)) i)

simplify313.0ms (5.5%)

Memory

-13.3MiB live, 513.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 900×	`accelerator-lowering-fma.f32`
7 900×	`accelerator-lowering-fma.f64`
3 322×	`-lowering-.f32`
3 322×	`-lowering-.f64`
1 704×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	989
1	210	989
2	517	935
3	1281	935
4	2950	935
5	6523	935
0	8395	914

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

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

Outputs
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 (.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (.f64 i i) (+.f64 #s(literal -1/4 binary64) (.f64 i (.f64 i (+.f64 #s(literal -1 binary64) (.f64 (.f64 i i) #s(literal -4 binary64)))))))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (.f64 i i) (+.f64 #s(literal -1/4 binary64) (.f64 i (.f64 i (+.f64 #s(literal -1 binary64) (.f64 i (.f64 i (+.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))))))))))
1/16
#s(literal 1/16 binary64)
(+ 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 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 i i))) (.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/1024 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 i i))) (*.f64 i i)))
1/16
#s(literal 1/16 binary64)
(+ 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 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 i i))) (.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/1024 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 i i))) (*.f64 i i)))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
16
#s(literal 16 binary64)
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
16
#s(literal 16 binary64)
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(- 16 (* 4 (/ 1 (pow i 2))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(/ -4 (pow i 2))
(/.f64 #s(literal -4 binary64) (*.f64 i i))
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(pow i 2)
(*.f64 i i)
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(* -1/4 (pow i 2))
(.f64 #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)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) 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 (.f64 i i) #s(literal 1/16 binary64))) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 i i) #s(literal 1/16 binary64))) (*.f64 i i))
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))
(/.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 i i) #s(literal 1/16 binary64))) (*.f64 i i))
1/16
#s(literal 1/16 binary64)
(+ 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 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i 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
#s(literal 1/16 binary64)
(+ 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 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/ 1/64 (pow i 2))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(* -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 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(.f64 (.f64 i i) (+.f64 #s(literal -1/4 binary64) (.f64 i (.f64 i (+.f64 #s(literal -1 binary64) (.f64 (.f64 i i) #s(literal -4 binary64)))))))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
(.f64 (.f64 i i) (+.f64 #s(literal -1/4 binary64) (.f64 i (.f64 i (+.f64 #s(literal -1 binary64) (.f64 i (.f64 i (+.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))))))))))
1/16
#s(literal 1/16 binary64)
(+ 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 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 i i))) (.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/1024 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 i i))) (*.f64 i i)))
1/16
#s(literal 1/16 binary64)
(+ 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 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 i i))) (.f64 i i)))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/1024 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 i i))) (*.f64 i i)))
(* -1 i)
(-.f64 #s(literal 0 binary64) i)
(* i (- (* -4 (pow i 2)) 1))
(.f64 i (+.f64 #s(literal -1 binary64) (.f64 (*.f64 i i) #s(literal -4 binary64))))
(* i (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1))
(.f64 i (+.f64 #s(literal -1 binary64) (.f64 i (.f64 i (+.f64 #s(literal -4 binary64) (.f64 (*.f64 i i) #s(literal -16 binary64)))))))
(* i (- (* (pow i 2) (- (* (pow i 2) (- (* -64 (pow i 2)) 16)) 4)) 1))
(.f64 i (+.f64 #s(literal -1 binary64) (.f64 (.f64 i i) (+.f64 #s(literal -4 binary64) (.f64 i (.f64 i (+.f64 #s(literal -16 binary64) (.f64 (*.f64 i i) #s(literal -64 binary64)))))))))
(/ 1/4 i)
(/.f64 #s(literal 1/4 binary64) i)
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i)
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 i i))) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2))))) i)
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (.f64 i i))) i)
(/ (+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6)))))) i)
(/.f64 (+.f64 (/.f64 #s(literal 1/256 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (*.f64 i i)))) i)
(/ 1/4 i)
(/.f64 #s(literal 1/4 binary64) i)
(/ (+ 1/4 (* 1/16 (/ 1 (pow i 2)))) i)
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 i i))) i)
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/64 (/ 1 (pow i 2)))) (pow i 2))) 1/4) i))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (.f64 i i))) i)
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/256 (/ 1 (pow i 2)))) (pow i 4))) (+ 1/4 (* 1/16 (/ 1 (pow i 2))))) i))
(/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 i i)) (/.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/256 binary64) (.f64 i i))) (.f64 i (.f64 i (*.f64 i i)))))) i)
-1
#s(literal -1 binary64)
(- (* 4 (pow i 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 (.f64 i i) #s(literal 4 binary64)))
(- (* 4 (pow i 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 (.f64 i i) #s(literal 4 binary64)))
(- (* 4 (pow i 2)) 1)
(+.f64 #s(literal -1 binary64) (.f64 (.f64 i i) #s(literal 4 binary64)))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 i i) #s(literal 4 binary64)))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 i i) #s(literal 4 binary64)))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 i i) #s(literal 4 binary64)))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 i i) #s(literal 4 binary64)))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 i i) #s(literal 4 binary64)))
(* (pow i 2) (- 4 (/ 1 (pow i 2))))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 i i) #s(literal 4 binary64)))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))
(* 4 (pow i 2))
(.f64 (.f64 i i) #s(literal 4 binary64))

eval81.0ms (1.4%)

Memory: 30.1MiB live, 183.5MiB allocated
Compiler: Compiled 14 222 to 1 603 computations (88.7% saved)

prune109.0ms (1.9%)

Memory

6.2MiB live, 165.7MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	713	2	715
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	714	6	720

Accuracy

100.0%

Counts

720 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.2%	(/.f64 i (/.f64 #s(literal -4 binary64) i))
✓	99.0%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
✓	47.8%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
▶	74.9%	(.f64 (/.f64 i (+.f64 #s(literal -4 binary64) (.f64 (*.f64 i i) #s(literal 16 binary64)))) i)
✓	52.2%	(.f64 i (.f64 i #s(literal -1/4 binary64)))
✓	48.0%	#s(literal 1/16 binary64)

Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify6.0ms (0.1%)

Memory

-29.5MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 #s(literal -4 binary64) i)
✓	cost-diff	(/.f64 i (/.f64 #s(literal -4 binary64) i))
✓	cost-diff	(.f64 (.f64 i i) #s(literal 16 binary64))
✓	cost-diff	(+.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal 16 binary64)))
✓	cost-diff	(/.f64 i (+.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal 16 binary64))))
✓	cost-diff	(.f64 (/.f64 i (+.f64 #s(literal -4 binary64) (.f64 (*.f64 i i) #s(literal 16 binary64)))) i)

Rules

22×	`-lowering-.f32`
22×	`-lowering-.f64`
12×	`/-lowering-/.f32`
12×	`/-lowering-/.f64`
10×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	48
1	18	48
2	23	48
0	23	45

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (/ i (+ -4 (* (* i i) 16))) i)
(/ i (+ -4 (* (* i i) 16)))
i
(+ -4 (* (* i i) 16))
-4
(* (* i i) 16)
(* i i)
16
(/ i (/ -4 i))
i
(/ -4 i)
-4

Outputs
(* (/ i (+ -4 (* (* i i) 16))) i)
(/.f64 (.f64 i i) (+.f64 #s(literal -4 binary64) (.f64 i (*.f64 i #s(literal 16 binary64)))))
(/ i (+ -4 (* (* i i) 16)))
(/.f64 i (+.f64 #s(literal -4 binary64) (.f64 i (.f64 i #s(literal 16 binary64)))))
i
(+ -4 (* (* i i) 16))
(+.f64 #s(literal -4 binary64) (.f64 i (.f64 i #s(literal 16 binary64))))
-4
#s(literal -4 binary64)
(* (* i i) 16)
(.f64 i (.f64 i #s(literal 16 binary64)))
(* i i)
(*.f64 i i)
16
#s(literal 16 binary64)
(/ i (/ -4 i))
(/.f64 i (/.f64 #s(literal -4 binary64) i))
i
(/ -4 i)
(/.f64 #s(literal -4 binary64) i)
-4
#s(literal -4 binary64)

localize32.0ms (0.6%)

Memory

27.7MiB live, 66.2MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal -4 binary64) i)
✓	accuracy	99.8%	(/.f64 i (/.f64 #s(literal -4 binary64) i))
✓	accuracy	100.0%	(+.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal 16 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 i i) #s(literal 16 binary64))
✓	accuracy	99.9%	(.f64 (/.f64 i (+.f64 #s(literal -4 binary64) (.f64 (*.f64 i i) #s(literal 16 binary64)))) i)
✓	accuracy	75.8%	(/.f64 i (+.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal 16 binary64))))

Samples

20.0ms

256×

valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 5.0ms (39.7% of total)

ival-mult: 4.0ms (31.8% of total)

ival-add: 3.0ms (23.8% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (* (/ i (+ -4 (* (* i i) 16))) i)>
#<alt (/ i (+ -4 (* (* i i) 16)))>
#<alt (+ -4 (* (* i i) 16))>
#<alt (* (* i i) 16)>
#<alt (/ i (/ -4 i))>
#<alt (/ -4 i)>

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

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	i	@	inf	(* (* i i) 16)
0.0ms	i	@	-inf	(/ i (+ -4 (* (* i i) 16)))
0.0ms	i	@	-inf	(/ -4 i)
0.0ms	i	@	inf	(/ -4 i)
0.0ms	i	@	0	(/ -4 i)

rewrite441.0ms (7.8%)

Memory

3.1MiB live, 803.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 118×	`accelerator-lowering-fma.f32`
5 118×	`accelerator-lowering-fma.f64`
4 292×	`-lowering-.f32`
4 292×	`-lowering-.f64`
3 852×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	54	40
2	342	40
3	2755	40
0	8686	37

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 473

Calls

Call 1

Inputs
(* (/ i (+ -4 (* (* i i) 16))) i)
(/ i (+ -4 (* (* i i) 16)))
(+ -4 (* (* i i) 16))
(* (* i i) 16)
(/ i (/ -4 i))
(/ -4 i)

Outputs
(+.f64 (.f64 (/.f64 (.f64 i i) (+.f64 #s(literal -64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))))) #s(literal 16 binary64)) (.f64 (/.f64 (.f64 i i) (+.f64 #s(literal -64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))))) (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 i i) (+.f64 #s(literal -64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))))) (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))) (.f64 (/.f64 (.f64 i i) (+.f64 #s(literal -64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))))) #s(literal 16 binary64)))
(+.f64 (.f64 (/.f64 (.f64 i i) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal -256 binary64)))) #s(literal -4 binary64)) (.f64 (/.f64 (.f64 i i) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal -256 binary64)))) (.f64 (.f64 i i) #s(literal -16 binary64))))
(+.f64 (.f64 #s(literal 16 binary64) (/.f64 (.f64 i i) (+.f64 #s(literal -64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64)))))) (.f64 (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64))) (/.f64 (.f64 i i) (+.f64 #s(literal -64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64)))))))
(+.f64 (.f64 (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64))) (/.f64 (.f64 i i) (+.f64 #s(literal -64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64)))))) (.f64 #s(literal 16 binary64) (/.f64 (.f64 i i) (+.f64 #s(literal -64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64)))))))
(+.f64 (.f64 #s(literal -4 binary64) (/.f64 (.f64 i i) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal -256 binary64))))) (.f64 (.f64 (.f64 i i) #s(literal -16 binary64)) (/.f64 (.f64 i i) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal -256 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (+.f64 #s(literal -4 binary64) (.f64 (*.f64 i i) #s(literal 16 binary64))) i) i)) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 i) (.f64 (log.f64 (/.f64 (+.f64 #s(literal -4 binary64) (.f64 (*.f64 i i) #s(literal 16 binary64))) i)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (.f64 #s(literal 2 binary64) (log.f64 i)) (.f64 (log.f64 (+.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal 16 binary64)))) #s(literal -1 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal -4 binary64) (.f64 (*.f64 i i) #s(literal 16 binary64))) i)) #s(literal -1 binary64)) (log.f64 i)))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal 16 binary64)))) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (log.f64 i))))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal 16 binary64))) i)) #s(literal -1 binary64)) (.f64 (log.f64 i) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal 16 binary64)))) (/.f64 (.f64 i i) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 i i) #s(literal -16 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal 16 binary64))) i)) (/.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 (+.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal 16 binary64))) i)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) i)) (/.f64 (/.f64 i (+.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64)))) (/.f64 #s(literal 1 binary64) i)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) i)) (/.f64 (/.f64 i (+.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64)))) (/.f64 #s(literal 1 binary64) i)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))) i)) (/.f64 i (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))) i)))
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(.f64 (/.f64 (+.f64 #s(literal -64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64)))) (+.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64))) (.f64 (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64))) (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64))))))) (+.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64))) (-.f64 (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64))) #s(literal 16 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal -64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64)))) (-.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64))) (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))))) (-.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal -256 binary64))) (-.f64 #s(literal -64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (+.f64 (.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal -256 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (.f64 (*.f64 i i) #s(literal -16 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal -256 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (.f64 (*.f64 i i) #s(literal -16 binary64))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal -4 binary64) (.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))) (+.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) #s(literal -16777216 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal -4 binary64) (.f64 (.f64 i i) #s(literal -16 binary64))) (-.f64 #s(literal 256 binary64) (.f64 #s(literal 65536 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i i))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (.f64 (*.f64 i i) #s(literal 256 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))) (+.f64 #s(literal -262144 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 #s(literal 68719476736 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) (-.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))) #s(literal -64 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))) (+.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) #s(literal -16777216 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (*.f64 i i)) #s(literal 4096 binary64))))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 4096 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) (neg.f64 (.f64 (.f64 i i) (-.f64 (.f64 (*.f64 i i) #s(literal 256 binary64)) #s(literal -64 binary64)))))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 16 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal -256 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -4 binary64) (.f64 (*.f64 i i) #s(literal -16 binary64))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 i i) (.f64 (.f64 i i) #s(literal 256 binary64))) #s(literal -16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))))
(exp.f64 (log.f64 (.f64 (.f64 i i) #s(literal 16 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))
(pow.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 1 binary64))
(.f64 i (.f64 i #s(literal 16 binary64)))
(.f64 i (pow.f64 (.f64 i #s(literal 16 binary64)) #s(literal 1 binary64)))
(.f64 i (exp.f64 (log.f64 (.f64 i #s(literal 16 binary64)))))
(.f64 (.f64 i i) #s(literal 16 binary64))
(.f64 (.f64 i i) (exp.f64 (log.f64 #s(literal 16 binary64))))
(.f64 #s(literal 16 binary64) (.f64 i i))
(.f64 (.f64 i #s(literal 16 binary64)) i)
(.f64 (pow.f64 (.f64 i #s(literal 16 binary64)) #s(literal 1 binary64)) i)
(.f64 (exp.f64 (log.f64 (.f64 i #s(literal 16 binary64)))) i)
(.f64 (exp.f64 (log.f64 #s(literal 16 binary64))) (.f64 i i))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -4 binary64) (.f64 i i))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 i) (log.f64 (/.f64 i #s(literal -4 binary64)))))
(exp.f64 (+.f64 (log.f64 (/.f64 i #s(literal -4 binary64))) (log.f64 i)))
(exp.f64 (-.f64 (log.f64 i) (log.f64 (/.f64 #s(literal -4 binary64) i))))
(exp.f64 (-.f64 (log.f64 (/.f64 i #s(literal -4 binary64))) (*.f64 (log.f64 i) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 i (/.f64 #s(literal 4 binary64) i)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 i (/.f64 #s(literal 4 binary64) i)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 i i) #s(literal 4 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) i)) (/.f64 i (/.f64 #s(literal 4 binary64) i)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) i)) (/.f64 i (/.f64 #s(literal 4 binary64) i)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) i)) (/.f64 i (/.f64 #s(literal 4 binary64) i)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) i)) #s(literal 1 binary64)) (/.f64 (/.f64 i (/.f64 #s(literal 4 binary64) i)) #s(literal 1 binary64)))
(neg.f64 (/.f64 i (/.f64 #s(literal 4 binary64) i)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 i (/.f64 #s(literal 4 binary64) i))))
(/.f64 i (/.f64 #s(literal -4 binary64) i))
(/.f64 (*.f64 i i) #s(literal -4 binary64))
(/.f64 (/.f64 i (/.f64 #s(literal -4 binary64) i)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 #s(literal 4 binary64) i))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 (/.f64 i #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) i))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i)) #s(literal 4 binary64))
(/.f64 (/.f64 i #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) i))
(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(/.f64 (/.f64 i (/.f64 #s(literal 4 binary64) i)) #s(literal -1 binary64))
(/.f64 #s(literal 1/4 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 i i))) #s(literal -4 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) i))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) i)) (.f64 (/.f64 #s(literal 4 binary64) i) i)) (*.f64 (/.f64 #s(literal -4 binary64) i) (/.f64 #s(literal -4 binary64) i)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) i)) (.f64 (/.f64 #s(literal 4 binary64) i) (-.f64 #s(literal 0 binary64) i))) (*.f64 (/.f64 #s(literal 4 binary64) i) (/.f64 #s(literal -4 binary64) i)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))) (.f64 (/.f64 #s(literal 4 binary64) i) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 4 binary64) i) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) i)) (.f64 (/.f64 #s(literal 4 binary64) i) (/.f64 i #s(literal -4 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) i)) (.f64 (/.f64 #s(literal 4 binary64) i) (/.f64 i #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 4 binary64) i) (/.f64 i (/.f64 #s(literal -1 binary64) i)))) (.f64 (/.f64 #s(literal 4 binary64) i) #s(literal -4 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) i) #s(literal 1 binary64))) (/.f64 #s(literal -4 binary64) i))
(pow.f64 (/.f64 i (/.f64 #s(literal -4 binary64) i)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 i (/.f64 #s(literal -4 binary64) i)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) (/.f64 #s(literal -4 binary64) (*.f64 i i))) #s(literal -1/2 binary64))
(*.f64 i (/.f64 i #s(literal -4 binary64)))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(*.f64 (/.f64 i (/.f64 #s(literal -4 binary64) i)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) i) (/.f64 i #s(literal 4 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 i (/.f64 #s(literal -4 binary64) i)))
(*.f64 (/.f64 i #s(literal -4 binary64)) i)
(*.f64 (/.f64 i #s(literal -4 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 i (/.f64 #s(literal 4 binary64) i)))
(*.f64 (/.f64 i #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) i))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 i i)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) (.f64 i i)))
(*.f64 #s(literal 1/4 binary64) (/.f64 i (/.f64 #s(literal -1 binary64) i)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) i) i) #s(literal -1 binary64)))
(.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 i i))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 i (/.f64 #s(literal -4 binary64) i)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 i (/.f64 #s(literal -4 binary64) i)) #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) i)
(exp.f64 (log.f64 (/.f64 #s(literal -4 binary64) i)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -4 binary64) i)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) i))
(neg.f64 (/.f64 #s(literal 4 binary64) i))
(/.f64 #s(literal -4 binary64) i)
(/.f64 (/.f64 #s(literal -4 binary64) i) #s(literal 1 binary64))
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) i))
(/.f64 (/.f64 #s(literal 4 binary64) i) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 i #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -1/4 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 i #s(literal 4 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal -4 binary64) i) #s(literal 1 binary64))
(pow.f64 (/.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -4 binary64) i) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 i #s(literal -4 binary64)) (/.f64 i #s(literal -4 binary64))) #s(literal -1/2 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) i))
(*.f64 #s(literal -4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1 binary64)))
(*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1 binary64)))
(*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -4 binary64) i) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) i))
(*.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -1 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) i))
(*.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -4 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) i))
(*.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 4 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -4 binary64) i) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) i) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1 binary64)) #s(literal -4 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) #s(literal 1 binary64)) #s(literal 4 binary64))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -4 binary64) i) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -4 binary64) i) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -4 binary64) i) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -4 binary64) i) #s(literal -1/2 binary64)) #s(literal -1 binary64)))

simplify360.0ms (6.3%)

Memory

-36.1MiB live, 567.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 186×	`accelerator-lowering-fma.f32`
8 186×	`accelerator-lowering-fma.f64`
3 154×	`-lowering-.f32`
3 154×	`-lowering-.f64`
1 662×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	510
1	160	510
2	392	506
3	1012	498
4	2607	498
5	5599	498
0	8308	483

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

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

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

eval67.0ms (1.2%)

Memory: 20.1MiB live, 169.4MiB allocated
Compiler: Compiled 17 572 to 1 708 computations (90.3% saved)

prune63.0ms (1.1%)

Memory

21.0MiB live, 175.6MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	545	0	545
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	545	6	551

Accuracy

100.0%

Counts

551 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.2%	(/.f64 i (/.f64 #s(literal -4 binary64) i))
✓	99.0%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
✓	47.8%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓	74.9%	(.f64 (/.f64 i (+.f64 #s(literal -4 binary64) (.f64 (*.f64 i i) #s(literal 16 binary64)))) i)
✓	52.2%	(.f64 i (.f64 i #s(literal -1/4 binary64)))
✓	48.0%	#s(literal 1/16 binary64)

Compiler

Compiled 121 to 67 computations (44.6% saved)

regimes7.0ms (0.1%)

Memory

-19.0MiB live, 19.5MiB allocated

Counts

8 → 1

Calls

Call 1

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

Calls

2 calls:

4.0ms

3.0ms

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

Results

Accuracy	Segments	Branch
99.0%	1	`i`
99.0%	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)))`

Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes2.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.8%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

3 → 2

Calls

Call 1

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

Outputs
(.f64 i (.f64 i #s(literal -1/4 binary64)))
#s(literal 1/16 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.4%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1/16 binary64)

Outputs
#s(literal 1/16 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
48.0%	1	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch11.0ms (0.2%)

Memory

-9.6MiB live, 28.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.06188737874498475	0.8107153118852067

Samples

7.0ms

96×

valid

Compiler

Compiled 125 to 86 computations (31.2% saved)

Precisions

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

ival-mult: 3.0ms (60.7% of total)

ival-div: 1.0ms (20.2% of total)

ival-sub: 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)

bsearch14.0ms (0.2%)

Memory

-14.4MiB live, 26.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.06188737874498475	0.8107153118852067

Samples

6.0ms

96×

valid

Compiler

Compiled 89 to 62 computations (30.3% saved)

Precisions

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

ival-mult: 2.0ms (54% of total)

ival-div: 1.0ms (27% of total)

ival-sub: 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)

simplify7.0ms (0.1%)

Memory

22.5MiB live, 22.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	36
1	26	36

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness586.0ms (10.3%)

Memory

-15.1MiB live, 310.0MiB allocated

Rules

16 840×	`accelerator-lowering-fma.f32`
16 840×	`accelerator-lowering-fma.f64`
5 046×	`-lowering-.f32`
5 046×	`-lowering-.f64`
4 332×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	365
1	94	365
2	218	364
3	503	360
4	1053	360
5	2102	360
6	4010	360
7	6212	360
0	8170	348
0	10	47
1	68	41
2	647	29
0	8818	27

Stop Event

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

Compiler

Compiled 62 to 38 computations (38.7% saved)

preprocess33.0ms (0.6%)

Memory: 11.7MiB live, 88.9MiB allocated
Remove: (abs i)
Compiler: Compiled 146 to 74 computations (49.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

sample1.0s (18.3%)

preprocess402.0ms (7.1%)

explain205.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify328.0ms (5.8%)

localize32.0ms (0.6%)

series4.0ms (0.1%)

rewrite337.0ms (5.9%)

simplify516.0ms (9.1%)

eval87.0ms (1.5%)

prune103.0ms (1.8%)

simplify7.0ms (0.1%)

localize64.0ms (1.1%)

series10.0ms (0.2%)

rewrite394.0ms (7%)

simplify313.0ms (5.5%)

eval81.0ms (1.4%)

prune109.0ms (1.9%)

simplify6.0ms (0.1%)

localize32.0ms (0.6%)

series3.0ms (0%)

rewrite441.0ms (7.8%)

simplify360.0ms (6.3%)

eval67.0ms (1.2%)

prune63.0ms (1.1%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch11.0ms (0.2%)

bsearch14.0ms (0.2%)

simplify7.0ms (0.1%)

soundness586.0ms (10.3%)

preprocess33.0ms (0.6%)

end0.0ms (0%)

Profiling