Metrics for Octave 3.8, jcobi/4, as called

analyze3.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB 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

25.8MiB live, 1 358.6MiB allocated

Samples

722.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 514.0ms

ival-mult: 274.0ms (53.3% of total)

ival-div: 106.0ms (20.6% of total)

ival-sub: 96.0ms (18.7% of total)

ival->: 22.0ms (4.3% of total)

exact: 13.0ms (2.5% of total)

ival-assert: 4.0ms (0.8% of total)

Bogosity

preprocess301.0ms (5.5%)

Memory

9.5MiB live, 574.0MiB allocated

Algorithm

1×	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	12	43
1	55	43
2	350	26
3	2861	26
4	7636	26
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) (fma.f64 (.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64)))

Symmetry

(abs i)

explain179.0ms (3.3%)

Memory

-35.7MiB live, 294.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
196	-	2	(6.87698123475689e-81)	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
63	-	0	-	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`
0	-	0	-	`(*.f64 i i)`
0	-	0	-	`(.f64 (.f64 i i) (*.f64 i i))`
0	-	0	-	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`
0	-	0	-	`i`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) i)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/o	63	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	93
↳	`(*.f64 i i)`	overflow	126
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	63
`/.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	63	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	93
↳	`(*.f64 i i)`	overflow	126
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	63
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	63
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	63
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	63
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	62	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	101
↳	`(*.f64 i i)`	underflow	124
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	62
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	39	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	101
↳	`(*.f64 i i)`	underflow	124
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	30	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	93
↳	`(*.f64 i i)`	overflow	126

Confusion

	Predicted +	Predicted -
+	194	2
-	0	60

Precision

1.0

Recall

0.9897959183673469

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	194	0	2
-	0	0	60

Precision?

1.0

Recall?

0.9897959183673469

Freqs

test

number	freq
0	62
1	131
2	63

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

67.0ms

512×

valid

Compiler

Compiled 200 to 44 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 36.0ms (74.7% of total)

ival-div: 9.0ms (18.7% of total)

ival-sub: 2.0ms (4.1% 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.1%	(/.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)))

Status

Accuracy

Program

▶

26.1%

(/.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 26 to 10 computations (61.5% saved)

simplify265.0ms (4.8%)

Memory

5.1MiB live, 529.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
✓	cost-diff	320	(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
✓	cost-diff	320	(/.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	1664	(/.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) (fma.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 1/4 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)
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))
1
#s(literal 1 binary64)

localize32.0ms (0.6%)

Memory

1.8MiB live, 78.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) i)
✓	accuracy	99.8%	(.f64 (.f64 i i) (*.f64 i i))
✓	accuracy	76.2%	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
✓	accuracy	31.7%	(/.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: 12.0ms

ival-mult: 7.0ms (58.6% of total)

ival-div: 3.0ms (25.1% of total)

ival-sub: 1.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

6 → 72

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

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 -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 (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 (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>

Calls

18 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	@	inf	(* (* 2 i) (* 2 i))
0.0ms	i	@	0	(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))

rewrite311.0ms (5.7%)

Memory

19.1MiB live, 406.6MiB 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	50
1	68	44
2	647	32
0	8818	30

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 700

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 i #s(literal 1/2 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)) (log.f64 (.f64 (.f64 i i) #s(literal 4 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 i #s(literal 1/4 binary64))) #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 i (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i (*.f64 i #s(literal 1/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 i (.f64 i (.f64 i (*.f64 i #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (.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 1/2 binary64)) (.f64 i #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64)) (neg.f64 (.f64 i #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 i i)) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -1/2 binary64)) (.f64 i #s(literal -2 binary64)))
(/.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) i))
(/.f64 (.f64 i (.f64 i #s(literal 1/2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 i (.f64 i #s(literal 1/2 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 1/4 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 (neg.f64 (.f64 i (.f64 i i))) (*.f64 i #s(literal -4 binary64)))
(/.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64))) (.f64 i (.f64 i #s(literal 2 binary64))))
(/.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 1/4 binary64))))) (*.f64 i i))
(/.f64 (.f64 i (.f64 i (*.f64 i #s(literal 1/4 binary64)))) i)
(/.f64 (.f64 (.f64 i (.f64 i #s(literal 1/4 binary64))) (.f64 i i)) (*.f64 i i))
(/.f64 (.f64 (.f64 i (*.f64 i #s(literal 1/4 binary64))) i) i)
(/.f64 (.f64 (neg.f64 (.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) (neg.f64 (.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)))
(/.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal -1 binary64)) (.f64 i (.f64 i #s(literal -4 binary64))))
(/.f64 (.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 i (*.f64 i #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 i (.f64 i (.f64 i (.f64 i #s(literal 1/4 binary64))))) #s(literal 1 binary64)) (.f64 i i))
(/.f64 (.f64 (.f64 i (.f64 i (.f64 i #s(literal 1/4 binary64)))) #s(literal 1 binary64)) i)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64)))) (.f64 i (*.f64 i #s(literal 2 binary64))))
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simplify1.2s (21%)

Memory

10.9MiB live, 514.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15 408×	`accelerator-lowering-fma.f32`
15 408×	`accelerator-lowering-fma.f64`
3 874×	`-lowering-.f32`
3 874×	`-lowering-.f64`
1 628×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	401
1	96	401
2	220	400
3	504	396
4	1045	396
5	2097	396
6	4072	396
7	6268	396
0	8056	384

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

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))
-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))))
(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)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)

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

eval212.0ms (3.9%)

Memory: 25.4MiB live, 211.7MiB allocated
Compiler: Compiled 24 103 to 1 985 computations (91.8% saved)

prune172.0ms (3.1%)

Memory

-10.4MiB live, 248.5MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	887	5	892
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	888	5	893

Accuracy

100.0%

Counts

893 → 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)))
▶	50.6%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
▶	50.2%	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
▶	50.2%	(.f64 i (.f64 i #s(literal -1/4 binary64)))
▶	50.8%	#s(literal 1/16 binary64)

Compiler

Compiled 72 to 52 computations (27.8% saved)

simplify83.0ms (1.5%)

Memory

-20.2MiB live, 93.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

808×	`accelerator-lowering-fma.f32`
808×	`accelerator-lowering-fma.f64`
536×	`-lowering-.f32`
536×	`-lowering-.f64`
212×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	83
1	37	83
2	55	83
3	90	83
4	141	83
5	188	83
6	264	83
7	410	83
8	530	83
9	611	83
10	724	83
11	784	83
12	838	83
13	1023	83
14	1346	83
15	1456	83
16	1518	83
17	1560	83
18	1567	83
19	1568	83
20	1568	83
0	1568	83

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

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

localize65.0ms (1.2%)

Memory

19.1MiB live, 63.8MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	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	98.8%	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
✓	accuracy	100.0%	(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	100.0%	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
✓	accuracy	99.9%	(.f64 i (-.f64 #s(literal -1/4 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 i i)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64))
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
✓	accuracy	98.5%	(/.f64 #s(literal -4 binary64) (*.f64 i i))

Samples

42.0ms

256×

valid

Compiler

Compiled 85 to 20 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-add: 16.0ms (53.1% of total)

ival-mult: 8.0ms (26.5% of total)

ival-div: 5.0ms (16.6% of total)

ival-sub: 1.0ms (3.3% of total)

exact: 1.0ms (3.3% of total)

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

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

series18.0ms (0.3%)

Memory

-31.7MiB live, 7.5MiB allocated

Counts

11 → 132

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 (* i (* i (- -1/4 (* i i))))>
#<alt (* i (- -1/4 (* i i)))>
#<alt (- -1/4 (* i i))>
#<alt (+ 1/16 (/ 1/64 (* i i)))>
#<alt (/ 1/64 (* i 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 (/ -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 (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1/4 i)>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* -1 (pow i 3))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 3))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt -1/4>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (* -1 (pow i 2))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 2))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<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))>

Calls

33 calls:

Time	Variable		Point	Expression
12.0ms	i	@	inf	(* i (- -1/4 (* i i)))
1.0ms	i	@	0	(/ 1 (+ (/ -4 (* i i)) 16))
0.0ms	i	@	inf	(* i (* i (- -1/4 (* i i))))
0.0ms	i	@	0	(* i (* i (- -1/4 (* i i))))
0.0ms	i	@	inf	(* i (* i -1/4))

rewrite315.0ms (5.7%)

Memory

6.1MiB live, 590.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 832×	`accelerator-lowering-fma.f32`
4 832×	`accelerator-lowering-fma.f64`
4 312×	`-lowering-.f32`
4 312×	`-lowering-.f64`
3 798×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	65
1	101	65
2	726	65
0	8123	62

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 480

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

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -64 binary64) (.f64 (.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 #s(literal -64 binary64) (.f64 (.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 #s(literal -64 binary64) (.f64 (.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 #s(literal -64 binary64) (.f64 (.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 #s(literal -64 binary64) (.f64 (.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 #s(literal -64 binary64) (.f64 (.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 #s(literal -64 binary64) (.f64 (.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 #s(literal -64 binary64) (.f64 (.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 #s(literal -1 binary64) (log.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))))
(-.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))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) #s(literal 256 binary64)) (+.f64 (/.f64 #s(literal -64 binary64) (.f64 (.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 #s(literal -64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) #s(literal 4096 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 #s(literal -64 binary64) (.f64 (.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 #s(literal -64 binary64) (.f64 (.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 #s(literal -64 binary64) (.f64 (.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 #s(literal -64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i))))) #s(literal 4096 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -64 binary64) (.f64 (.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 #s(literal -64 binary64) (.f64 (.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 #s(literal -64 binary64) (.f64 (.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 #s(literal -64 binary64) (.f64 (.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 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(/.f64 (+.f64 #s(literal 256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 i i)) #s(literal -64 binary64)) (.f64 i i))) (+.f64 (/.f64 #s(literal -64 binary64) (.f64 (.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)))) #s(literal -256 binary64)) (.f64 (+.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 4 binary64) (.f64 i i)))))
(/.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 (neg.f64 (+.f64 #s(literal 256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 i i)) #s(literal -64 binary64)) (.f64 i i)))) (+.f64 #s(literal -4096 binary64) (neg.f64 (/.f64 #s(literal -64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i))))))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal 16 binary64)) (neg.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) #s(literal -256 binary64))))
(/.f64 (fma.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 #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 (/.f64 #s(literal -64 binary64) (.f64 (.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 (+.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 #s(literal -64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (.f64 i (*.f64 i #s(literal -1/4 binary64)))))))
(/.f64 (+.f64 (/.f64 #s(literal -64 binary64) (.f64 (.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)))) #s(literal -256 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 (.f64 (+.f64 #s(literal 256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 i i)) #s(literal -64 binary64)) (.f64 i i))) (+.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) #s(literal -256 binary64)) (/.f64 #s(literal -64 binary64) (.f64 i i)))) (.f64 (+.f64 (/.f64 #s(literal -64 binary64) (.f64 (.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)))) #s(literal -256 binary64)) (/.f64 #s(literal -64 binary64) (*.f64 i i)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) #s(literal 4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 i i)) #s(literal -64 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))) (/.f64 #s(literal 1 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 -64 binary64) (.f64 (.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 (+.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 #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)))))))) (fma.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 #s(literal -64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (.f64 i (*.f64 i #s(literal -1/4 binary64))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) #s(literal 4096 binary64))) (.f64 (+.f64 #s(literal 256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 i i)) #s(literal -64 binary64)) (.f64 i i))) (+.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) #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)))) #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 #s(literal 16 binary64) (/.f64 #s(literal 4 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 -64 binary64) (.f64 (.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 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))))
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(.f64 (+.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #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))))
(.f64 (pow.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))) #s(literal -1/2 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) #s(literal 4096 binary64))) (+.f64 #s(literal 256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 i i)) #s(literal -64 binary64)) (.f64 i i))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) #s(literal 4096 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 i i)) #s(literal -64 binary64)) (.f64 i i)))) #s(literal -1 binary64)))
(.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 -4 binary64) (*.f64 i i)) #s(literal -16 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))) #s(literal -256 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -16 binary64))) #s(literal -1 binary64)))
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(/.f64 (-.f64 #s(literal 1/65536 binary64) (/.f64 (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (.f64 (.f64 i i) #s(literal 64 binary64)))) (.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 i (.f64 i (.f64 i i)))))))
(/.f64 (-.f64 (.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))) (.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (/.f64 #s(literal 1/4096 binary64) (.f64 i (.f64 i (.f64 i i)))))) (.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))))) (neg.f64 (+.f64 #s(literal -1/256 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 i (.f64 i (.f64 i i)))))) (neg.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 i (.f64 i (.f64 i i)))) #s(literal -1/256 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal -1/16 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (.f64 i (.f64 i (.f64 i i))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))) (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))) (fma.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal 1/4096 binary64) (.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (.f64 i (.f64 i (.f64 i i))))) (.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))) (/.f64 #s(literal 1/4096 binary64) (.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (.f64 i (.f64 i (*.f64 i i)))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))) (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))))) (.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal 1/4096 binary64) (.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (.f64 i (.f64 i (.f64 i i))))))) (+.f64 (/.f64 #s(literal 1/256 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))) (/.f64 #s(literal 1/4096 binary64) (.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (.f64 i (.f64 i (.f64 i i)))))))
(/.f64 (.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 i i)) #s(literal 1/1024 binary64)) (.f64 i i))))
(/.f64 (.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal -1/4096 binary64) (.f64 i (.f64 i (.f64 i i))))) #s(literal 1 binary64)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))
(/.f64 (.f64 (+.f64 #s(literal 1/68719476736 binary64) (/.f64 #s(literal 1/18014398509481984 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 i i)) #s(literal 1/1024 binary64)) (.f64 i i))))) (fma.f64 (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (-.f64 (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) #s(literal 1/4096 binary64)) #s(literal 1/16777216 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/16777216 binary64) (/.f64 #s(literal 1/68719476736 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 i i)) #s(literal 1/1024 binary64)) (.f64 i i))))) (-.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))))))
(/.f64 (.f64 (-.f64 #s(literal 1/16777216 binary64) (/.f64 #s(literal 1/68719476736 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))))) (fma.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 i (.f64 i (.f64 i i)))) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 i (.f64 i (*.f64 i i))))) #s(literal 1/65536 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/65536 binary64) (/.f64 (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (.f64 (.f64 i i) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))))) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 i (.f64 i (.f64 i i))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))))
(.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 i i)) #s(literal 1/1024 binary64)) (.f64 i i)))))
(.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal -1/4096 binary64) (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(.f64 (neg.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/256 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 i i)) #s(literal 1/1024 binary64)) (.f64 i i))))))
(.f64 (+.f64 #s(literal -1/256 binary64) (/.f64 #s(literal 1/4096 binary64) (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 i i)) #s(literal 1/1024 binary64)) (.f64 i i)))) (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal -1/4096 binary64) (.f64 i (.f64 i (*.f64 i i))))))
(.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 i (.f64 i (.f64 i i)))) #s(literal -1/256 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) #s(literal -1/16 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal -1/4096 binary64) (.f64 i (.f64 i (.f64 i i))))) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal -1/4096 binary64) (.f64 i (.f64 i (.f64 i i)))))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))))
(.f64 (/.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 i i)) #s(literal 1/1024 binary64)) (.f64 i i)) (.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 i (.f64 i (.f64 i i)))) (.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal -1/16 binary64)) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal -1/16 binary64)))) #s(literal 1/16777216 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 i i)) #s(literal 1/1024 binary64)) (.f64 i i)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i)) #s(literal 1/256 binary64)) #s(literal 1/65536 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))) (-.f64 #s(literal 1/65536 binary64) (.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 i (.f64 i (.f64 i i)))) (.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal -1/16 binary64)) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal -1/16 binary64)))))) (-.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 i i)) #s(literal 1/1024 binary64)) (*.f64 i i))))
(.f64 (/.f64 (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal -1/4096 binary64) (.f64 i (.f64 i (.f64 i i))))) (-.f64 #s(literal 1/4096 binary64) (/.f64 #s(literal 1/262144 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (fma.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) #s(literal 1/256 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 i i) #s(literal 64 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(neg.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 i i)))
(neg.f64 (.f64 (/.f64 #s(literal -1/64 binary64) (.f64 i i)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 i i) #s(literal 64 binary64)))
(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 i i) #s(literal -64 binary64)))
(/.f64 #s(literal -1/64 binary64) (neg.f64 (*.f64 i i)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) #s(literal 64 binary64))
(/.f64 (/.f64 #s(literal 1/64 binary64) i) i)
(/.f64 (/.f64 #s(literal 1/64 binary64) i) (neg.f64 (neg.f64 i)))
(/.f64 (/.f64 #s(literal -1/64 binary64) i) (neg.f64 i))
(/.f64 (/.f64 #s(literal 1 binary64) i) (*.f64 i #s(literal 64 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/64 binary64) i)) (neg.f64 i))
(/.f64 (*.f64 (/.f64 #s(literal -1/64 binary64) i) #s(literal 1 binary64)) (neg.f64 i))
(/.f64 (/.f64 (/.f64 #s(literal -1/64 binary64) i) #s(literal -1 binary64)) i)
(pow.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i)))
(.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 i i)))
(.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/64 binary64) (.f64 i i)))
(.f64 #s(literal -1/64 binary64) (/.f64 #s(literal -1 binary64) (.f64 i i)))
(.f64 #s(literal -1/64 binary64) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 i i)) #s(literal 1/64 binary64))
(*.f64 (/.f64 #s(literal 1/64 binary64) i) (/.f64 #s(literal 1 binary64) i))
(.f64 (/.f64 #s(literal 1/64 binary64) i) (.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/64 binary64) i) (/.f64 #s(literal 1 binary64) (neg.f64 i)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 i i)) #s(literal -1/64 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1/64 binary64) i))
(.f64 (pow.f64 (.f64 (.f64 i i) #s(literal 64 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 (*.f64 i i) #s(literal 64 binary64)) #s(literal -1/2 binary64)))

simplify403.0ms (7.3%)

Memory

-5.6MiB live, 751.5MiB allocated

Algorithm

1×	egg-herbie

Rules

18 308×	`accelerator-lowering-fma.f32`
18 308×	`accelerator-lowering-fma.f64`
3 626×	`-lowering-.f32`
3 626×	`-lowering-.f64`
1 790×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	824
1	163	824
2	476	760
3	1519	756
4	5282	756
5	7696	756
0	8007	750

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

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

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

eval124.0ms (2.3%)

Memory: 12.9MiB live, 202.3MiB allocated
Compiler: Compiled 13 412 to 1 477 computations (89% saved)

prune67.0ms (1.2%)

Memory

-13.1MiB live, 200.3MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	672	0	672
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	672	5	677

Accuracy

100.0%

Counts

677 → 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)))
✓	50.6%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓	50.2%	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
✓	50.2%	(.f64 i (.f64 i #s(literal -1/4 binary64)))
✓	50.8%	#s(literal 1/16 binary64)

Compiler

Compiled 93 to 51 computations (45.2% saved)

regimes7.0ms (0.1%)

Memory

-20.8MiB live, 18.0MiB allocated

Counts

6 → 1

Calls

Call 1

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

2.0ms

(/.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)

regimes4.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB 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 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))

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

Calls

2 calls:

2.0ms

(/.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
99.7%	2	`i`
75.8%	2	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`

Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes2.0ms (0%)

Memory

6.5MiB live, 6.5MiB 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 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Memory

-27.5MiB live, 10.5MiB 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

2 calls:

3.0ms

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

1.0ms

Results

Accuracy	Segments	Branch
50.8%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
50.8%	1	`i`

Compiler

Compiled 28 to 11 computations (60.7% saved)

bsearch14.0ms (0.3%)

Memory

3.0MiB live, 42.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0031649456318326745	20.52333249084072

Samples

8.0ms

128×

valid

Compiler

Compiled 189 to 126 computations (33.3% saved)

Precisions

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

ival-mult: 3.0ms (58.1% of total)

ival-sub: 1.0ms (19.4% of total)

ival-div: 1.0ms (19.4% 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

34.3MiB live, 34.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0031649456318326745	20.52333249084072

Samples

8.0ms

128×

valid

Compiler

Compiled 141 to 94 computations (33.3% saved)

Precisions

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

ival-mult: 3.0ms (57.7% of total)

ival-div: 2.0ms (38.5% of total)

ival-sub: 1.0ms (19.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch16.0ms (0.3%)

Memory

-9.4MiB live, 32.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.0031649456318326745	20.52333249084072

Samples

10.0ms

128×

valid

Compiler

Compiled 109 to 78 computations (28.4% saved)

Precisions

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

ival-mult: 5.0ms (69.1% of total)

ival-sub: 1.0ms (13.8% of total)

ival-div: 1.0ms (13.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify10.0ms (0.2%)

Memory

-20.9MiB live, 16.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
10×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	54
1	37	54
2	44	54
3	48	54
4	50	54

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

soundness658.0ms (12%)

Memory

2.5MiB live, 364.9MiB allocated

Rules

15 408×	`accelerator-lowering-fma.f32`
15 408×	`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	50	401
1	96	401
2	220	400
3	504	396
4	1045	396
5	2097	396
6	4072	396
7	6268	396
0	8056	384
0	10	50
1	68	44
2	647	32
0	8818	30

Stop Event

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

Compiler

Compiled 96 to 52 computations (45.8% saved)

preprocess44.0ms (0.8%)

Memory: 0.5MiB live, 116.8MiB allocated
Remove: (abs i)
Compiler: Compiled 204 to 92 computations (54.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze3.0ms (0.1%)

sample1.0s (18.3%)

preprocess301.0ms (5.5%)

explain179.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify265.0ms (4.8%)

localize32.0ms (0.6%)

series5.0ms (0.1%)

rewrite311.0ms (5.7%)

simplify1.2s (21%)

eval212.0ms (3.9%)

prune172.0ms (3.1%)

simplify83.0ms (1.5%)

localize65.0ms (1.2%)

series18.0ms (0.3%)

rewrite315.0ms (5.7%)

simplify403.0ms (7.3%)

eval124.0ms (2.3%)

prune67.0ms (1.2%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch14.0ms (0.3%)

bsearch14.0ms (0.2%)

bsearch16.0ms (0.3%)

simplify10.0ms (0.2%)

soundness658.0ms (12%)

preprocess44.0ms (0.8%)

end0.0ms (0%)

Profiling