Metrics for Octave 3.8, jcobi/4, as called

analyze3.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 29 to 13 computations (55.2% saved)

sample1.1s (14.2%)

Memory

1.9MiB live, 1 328.2MiB allocated

Samples

791.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 591.0ms

ival-mult: 278.0ms (47% of total)

ival->: 163.0ms (27.6% of total)

ival-div: 99.0ms (16.7% of total)

ival-sub: 36.0ms (6.1% of total)

exact: 12.0ms (2% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess366.0ms (4.9%)

Memory

-0.4MiB live, 560.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 204×	`lower-fma.f64`
7 204×	`lower-fma.f32`
5 094×	`lower-*.f32`
5 086×	`lower-*.f64`
3 164×	`lower-/.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	25
0	17	21
1	45	19
2	187	13
3	1060	13
4	3649	11
5	5292	11
6	7322	11
0	8036	10

Stop Event

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

Calls

Call 1

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

Inputs

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

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

Outputs

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

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

Symmetry

(abs i)

explain188.0ms (2.5%)

Memory

-13.4MiB live, 256.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
193	-	6	(8.724932866547569e-79)	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
65	-	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	65	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	95
↳	`(*.f64 i i)`	overflow	128
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	65
`/.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	64	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	95
↳	`(*.f64 i i)`	overflow	128
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	64
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	65
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	65
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	65
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	59	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	92
↳	`(*.f64 i i)`	underflow	118
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	59
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	33	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	92
↳	`(*.f64 i i)`	underflow	118
`/.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	95
↳	`(*.f64 i i)`	overflow	128
`/.f64`	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`	n/o	1	0
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	65
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	65

Confusion

	Predicted +	Predicted -
+	187	6
-	0	63

Precision

1.0

Recall

0.9689119170984456

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	187	0	6
-	0	0	63

Precision?

1.0

Recall?

0.9689119170984456

Freqs

test

number	freq
0	69
1	122
2	65

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

91.0ms

512×

valid

Compiler

Compiled 200 to 44 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 67.0ms (86.5% of total)

ival-div: 7.0ms (9% of total)

ival-sub: 2.0ms (2.6% 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.1%	(/.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

▶

28.1%

(/.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)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize34.0ms (0.5%)

Memory

-22.5MiB live, 59.4MiB 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	75.4%	(/.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	33.9%	(/.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: 8.0ms (67.3% of total)

ival-div: 3.0ms (25.2% 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)

series4.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))>
#<alt (/.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)))>
#<alt (.f64 (.f64 i i) (*.f64 i i))>
#<alt (*.f64 #s(literal 2 binary64) 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 (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

12 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)
0.0ms	i	@	0	(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1))

rewrite266.0ms (3.5%)

Memory

9.7MiB live, 432.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 018×	`lower-*.f32`
5 010×	`lower-*.f64`
4 240×	`lower-/.f32`
4 236×	`lower-/.f64`
3 978×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	50
0	17	38
1	75	32
2	653	20
0	8740	19

Stop Event

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

Counts

4 → 478

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
(.f64 (.f64 i i) (*.f64 i i))
(*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) (log.f64 (.f64 i i))) (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 (.f64 i 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 i (*.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))
(/.f64 (*.f64 i i) #s(literal 4 binary64))
(/.f64 (.f64 i i) (.f64 (/.f64 #s(literal 2 binary64) i) (*.f64 i #s(literal 2 binary64))))
(/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 (*.f64 i i) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 i 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 (*.f64 i i) #s(literal 1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 i (.f64 i (.f64 (*.f64 i i) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (.f64 i (.f64 i (.f64 i i)))) (.f64 (*.f64 i i) #s(literal -4 binary64)))
(/.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) i))
(/.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 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(/.f64 (.f64 (.f64 i (.f64 i i)) #s(literal -1/2 binary64)) (.f64 i #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 i i)) #s(literal -4 binary64))
(/.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 (/.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 (.f64 i i) #s(literal 1/4 binary64)))) (*.f64 i i))
(/.f64 (.f64 i (.f64 (*.f64 i i) #s(literal 1/4 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 (.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (.f64 i i)) (*.f64 i i))
(/.f64 (.f64 (.f64 (*.f64 i 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 (.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 (.f64 i i) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) (.f64 i i))
(/.f64 (.f64 (.f64 i (.f64 (.f64 i 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))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 1/4 binary64))))) (.f64 i i))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 i i))) (.f64 (/.f64 #s(literal 2 binary64) i) (.f64 i #s(literal -2 binary64))))
(/.f64 (.f64 (neg.f64 (.f64 i i)) (.f64 i (.f64 i #s(literal 1/2 binary64)))) (.f64 i (.f64 i #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 i (.f64 i #s(literal 1/2 binary64))) (.f64 i i)) (.f64 i (.f64 i #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 i (.f64 i #s(literal 1/2 binary64))) (neg.f64 (.f64 i i))) (.f64 i (.f64 i #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 i (.f64 i #s(literal 1/2 binary64))) (.f64 i (.f64 i #s(literal 1/2 binary64)))) (.f64 i i))
(/.f64 (neg.f64 (.f64 i (.f64 i #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64)))) (.f64 i (.f64 i #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 1/4 binary64))))) (neg.f64 (*.f64 i i)))
(/.f64 (neg.f64 (.f64 i (.f64 (*.f64 i i) #s(literal 1/4 binary64)))) (neg.f64 i))
(/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i i)) #s(literal 4 binary64))
(/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1 binary64)) (.f64 (*.f64 i i) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 i #s(literal 1/2 binary64)) (.f64 i (.f64 i i))) (.f64 i (.f64 i #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (.f64 i (.f64 i i)) #s(literal 1/2 binary64)) i) (.f64 i (.f64 i #s(literal 2 binary64))))
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(.f64 (.f64 #s(literal 1 binary64) (*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))) (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) (*.f64 i i))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (.f64 i (*.f64 i #s(literal 1/2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (.f64 i #s(literal 1/4 binary64))) i)
(.f64 (.f64 (/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) i) (/.f64 #s(literal 1/4 binary64) i))
(.f64 (.f64 (/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (.f64 i i)) (/.f64 #s(literal 1/4 binary64) (.f64 i i)))
(.f64 (.f64 (/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) i))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (.f64 i (.f64 (.f64 i i) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) i))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (.f64 i (*.f64 i #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 (.f64 i i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 i #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) i))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (.f64 i #s(literal 4 binary64))) (.f64 i (*.f64 i i)))
(.f64 (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (neg.f64 (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (neg.f64 (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)))) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (.f64 (.f64 i i) #s(literal -4 binary64))) (neg.f64 (.f64 i (.f64 i (*.f64 i i)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 4 binary64) i)) i)
(.f64 (/.f64 (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 i (.f64 i i)) #s(literal 8 binary64) #s(literal -1 binary64))) (fma.f64 i (.f64 i #s(literal 4 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 i i))))
(exp.f64 (*.f64 (log.f64 i) #s(literal 4 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 i) (log.f64 (*.f64 i i))))
(-.f64 #s(literal 0 binary64) (neg.f64 (.f64 i (.f64 i (*.f64 i i)))))
(neg.f64 (neg.f64 (.f64 i (.f64 i (*.f64 i i)))))
(pow.f64 i #s(literal 4 binary64))
(pow.f64 (*.f64 i i) #s(literal 2 binary64))
(pow.f64 (.f64 i (.f64 i (*.f64 i i))) #s(literal 1 binary64))
(.f64 i (.f64 i (*.f64 i i)))
(.f64 i (neg.f64 (neg.f64 (.f64 i (*.f64 i i)))))
(.f64 (.f64 i i) (*.f64 i i))
(.f64 (.f64 i i) (neg.f64 (neg.f64 (*.f64 i i))))
(.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 i (.f64 i (.f64 i i))))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 i (.f64 i (.f64 i i)))))
(.f64 (.f64 i (*.f64 i i)) i)
(.f64 (.f64 i (*.f64 i i)) (neg.f64 (neg.f64 i)))
(.f64 (neg.f64 (.f64 i i)) (neg.f64 (*.f64 i i)))
(.f64 (neg.f64 i) (neg.f64 (.f64 i (*.f64 i i))))
(.f64 (neg.f64 (.f64 i (*.f64 i i))) (neg.f64 i))
(.f64 (neg.f64 (neg.f64 (.f64 i i))) (*.f64 i i))
(.f64 (neg.f64 (neg.f64 i)) (.f64 i (*.f64 i i)))
(.f64 (neg.f64 (neg.f64 (.f64 i (*.f64 i i)))) i)
(exp.f64 (.f64 (log.f64 (.f64 i #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) i))
(/.f64 (.f64 i (.f64 i #s(literal 2 binary64))) i)
(/.f64 (.f64 i (.f64 i #s(literal -2 binary64))) (neg.f64 i))
(pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 i #s(literal 2 binary64))
(.f64 (.f64 i i) (/.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
(.f64 (.f64 i #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 i #s(literal 2 binary64)))
(.f64 (.f64 i (*.f64 i #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) i))
(.f64 (pow.f64 (.f64 i #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1/2 binary64)))

simplify393.0ms (5.2%)

Memory

-6.1MiB live, 682.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14 300×	`lower-fma.f64`
14 300×	`lower-fma.f32`
3 738×	`lower-*.f64`
3 738×	`lower-*.f32`
1 734×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	267
1	87	267
2	193	266
3	436	262
4	885	262
5	1648	262
6	2804	262
7	4775	262
8	5891	262
9	7568	262
0	8133	259

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

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))))))
(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 (.f64 i 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 i (.f64 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 (.f64 i 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 #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 #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 #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)))))))
(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))

eval100.0ms (1.3%)

Memory: 35.8MiB live, 110.1MiB allocated
Compiler: Compiled 13 912 to 1 278 computations (90.8% saved)

prune92.0ms (1.2%)

Memory

-1.1MiB live, 156.1MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	590	8	598
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	591	8	599

Accuracy

100.0%

Counts

599 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.6%	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
	58.8%	(/.f64 (.f64 i (.f64 (.f64 i i) #s(literal 1/4 binary64))) (.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) i))
▶	75.2%	(/.f64 (.f64 i #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
	50.0%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
	50.8%	(.f64 (.f64 i i) #s(literal -1/4 binary64))
▶	51.0%	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
▶	50.4%	#s(literal 1/16 binary64)

Compiler

Compiled 162 to 110 computations (32.1% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize129.0ms (1.7%)

Memory

1.6MiB live, 118.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	100.0%	(*.f64 i #s(literal 1/2 binary64))
✓	accuracy	99.9%	(/.f64 (.f64 i #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
✓	accuracy	76.3%	(.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓	accuracy	100.0%	(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(.f64 (.f64 i i) #s(literal 1/4 binary64))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	75.4%	(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	100.0%	(.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i i)))
✓	accuracy	99.9%	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	100.0%	(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
✓	accuracy	99.6%	(/.f64 #s(literal 4 binary64) (*.f64 i i))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))

Samples

58.0ms

256×

valid

Compiler

Compiled 136 to 27 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-sub: 25.0ms (56.1% of total)

ival-mult: 10.0ms (22.4% of total)

ival-div: 8.0ms (18% of total)

ival-add: 1.0ms (2.2% of total)

exact: 1.0ms (2.2% of total)

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

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

series28.0ms (0.4%)

Memory

-22.4MiB live, 15.8MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 i i))>
#<alt (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))>
#<alt (*.f64 i i)>
#<alt (.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))>
#<alt (.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i i)))>
#<alt (-.f64 #s(literal -1/4 binary64) (*.f64 i i))>
#<alt (/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))>
#<alt (.f64 (.f64 i i) #s(literal 1/4 binary64))>
#<alt (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))>
#<alt (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))>
#<alt (/.f64 (.f64 i #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))>
#<alt (*.f64 i #s(literal 1/2 binary64))>

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 (/ 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 (/ (- (* 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 (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 (* (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 (* -1/4 (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 (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>
#<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 (/ -2 i)>
#<alt (/ (- (* 8 (pow i 2)) 2) i)>
#<alt (/ (- (* 8 (pow i 2)) 2) i)>
#<alt (/ (- (* 8 (pow i 2)) 2) i)>
#<alt (* 8 i)>
#<alt (* i (- 8 (* 2 (/ 1 (pow i 2)))))>
#<alt (* i (- 8 (* 2 (/ 1 (pow i 2)))))>
#<alt (* i (- 8 (* 2 (/ 1 (pow i 2)))))>
#<alt (* 8 i)>
#<alt (* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))>
#<alt (* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))>
#<alt (* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))>
#<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 (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>

Calls

39 calls:

Time	Variable		Point	Expression
21.0ms	i	@	-inf	(* i 1/2)
1.0ms	i	@	0	(/ 4 (* i i))
0.0ms	i	@	inf	(* (/ 2 i) (+ (* (* i i) 4) -1))
0.0ms	i	@	inf	(* i (* i (- -1/4 (* i i))))
0.0ms	i	@	0	(* (/ 2 i) (+ (* (* i i) 4) -1))

rewrite326.0ms (4.3%)

Memory

39.8MiB live, 699.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 470×	`lower-fma.f32`
7 468×	`lower-fma.f64`
5 548×	`lower-*.f32`
5 536×	`lower-*.f64`
3 750×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	95
0	38	93
1	155	93
2	1122	92
0	9007	89

Stop Event

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

Counts

13 → 933

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) #s(literal 256 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i))))))) #s(literal 256 binary64)))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (/.f64 #s(literal 64 binary64) (.f64 i i))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i)))))) #s(literal 16 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 #s(literal 4 binary64) (.f64 i i))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (*.f64 i i)))))) #s(literal 16 binary64)))
(+.f64 (.f64 #s(literal 256 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.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)) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))))))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))))) (.f64 #s(literal 256 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))))))))
(+.f64 (.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))))) (.f64 (/.f64 #s(literal 64 binary64) (.f64 i i)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))))))
(+.f64 (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i))))))) (.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (*.f64 i i))))))))
(+.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i))))))) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (*.f64 i i))))))))
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i i)))) #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))))
(fma.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i))))))))
(fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i))))))))
(fma.f64 #s(literal 256 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.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)) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))))))
(fma.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (.f64 #s(literal 256 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))))))
(fma.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (.f64 (/.f64 #s(literal 64 binary64) (.f64 i i)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) #s(literal 256 binary64) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i)))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) #s(literal 256 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.f64 i i))))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))) (/.f64 #s(literal 64 binary64) (*.f64 i i))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i)))))) #s(literal 16 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 #s(literal 4 binary64) (.f64 i i))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 #s(literal 4 binary64) (.f64 i i)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i)))))) #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 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))))
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64)))
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))) #s(literal 256 binary64)) (-.f64 #s(literal 4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (*.f64 i i)))))))
(/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i))))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))) #s(literal 256 binary64))) (+.f64 #s(literal -4096 binary64) (/.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)) (+.f64 #s(literal -256 binary64) (/.f64 #s(literal 16 binary64) (.f64 i (.f64 i (.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 (/.f64 #s(literal 4 binary64) (.f64 i i)) #s(literal -16 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 i i)) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))) #s(literal 256 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))))))
(.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i i))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal -16 binary64) (.f64 i (.f64 i (*.f64 i i)))))))
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(.f64 (.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal 1 binary64))) i) i)
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(.f64 (.f64 #s(literal 1 binary64) (/.f64 i (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (*.f64 i #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 i #s(literal 1/2 binary64)))) (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))
(.f64 (.f64 i (/.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 i i) #s(literal 8 binary64) #s(literal -2 binary64)))) i)
(.f64 (.f64 (.f64 i (.f64 i #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) #s(literal 64 binary64) #s(literal -1 binary64)))) (+.f64 (fma.f64 i (.f64 i (.f64 #s(literal 16 binary64) (.f64 i i))) #s(literal 1 binary64)) (.f64 #s(literal 4 binary64) (.f64 i i))))
(.f64 (.f64 (.f64 i (.f64 i #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 i i) (.f64 #s(literal 16 binary64) (.f64 i i)) #s(literal -1 binary64)))) (fma.f64 #s(literal 4 binary64) (.f64 i i) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) #s(literal 8 binary64) #s(literal -2 binary64))) (.f64 i #s(literal -1/2 binary64))) (neg.f64 i))
(.f64 (.f64 (/.f64 i (fma.f64 (*.f64 i i) #s(literal 8 binary64) #s(literal -2 binary64))) #s(literal 1/2 binary64)) i)
(-.f64 #s(literal 0 binary64) (*.f64 i #s(literal -1/2 binary64)))
(neg.f64 (*.f64 i #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) i))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) i) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 1 binary64)))
(/.f64 i #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) i))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) i))
(/.f64 (neg.f64 i) #s(literal -2 binary64))
(/.f64 (*.f64 i #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) i))
(pow.f64 (/.f64 #s(literal 2 binary64) i) #s(literal -1 binary64))
(pow.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 i #s(literal 1/2 binary64)))
(*.f64 i #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 i #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) i)
(*.f64 (neg.f64 i) #s(literal -1/2 binary64))
(.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 i))

simplify353.0ms (4.7%)

Memory

10.2MiB live, 609.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 218×	`lower-fma.f64`
10 218×	`lower-fma.f32`
3 032×	`lower-*.f64`
3 032×	`lower-*.f32`
1 984×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	1116
1	208	1116
2	577	1050
3	1735	1020
4	4834	1020
5	7041	1020
0	8149	993

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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

eval150.0ms (2%)

Memory: -32.4MiB live, 373.4MiB allocated
Compiler: Compiled 25 956 to 2 458 computations (90.5% saved)

prune151.0ms (2%)

Memory

16.5MiB live, 213.2MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1 276	4	1 280
Fresh	1	2	3
Picked	2	3	5
Done	0	0	0
Total	1 279	9	1 288

Accuracy

100.0%

Counts

1 288 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.0%	(fma.f64 (.f64 i #s(literal -1/4 binary64)) i (neg.f64 (.f64 i (.f64 i (.f64 i i)))))
▶	99.9%	(/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))
▶	50.7%	(/.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 #s(literal -2 binary64) i))
	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i)))
✓	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
▶	50.0%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
▶	50.8%	(.f64 (.f64 i i) #s(literal -1/4 binary64))
✓	51.0%	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
✓	50.4%	#s(literal 1/16 binary64)

Compiler

Compiled 136 to 96 computations (29.4% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize90.0ms (1.2%)

Memory

-9.8MiB live, 106.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 i #s(literal -1/4 binary64))
✓	accuracy	100.0%	(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
✓	accuracy	99.9%	(.f64 i (.f64 i (*.f64 i i)))
✓	accuracy	99.9%	(.f64 i (.f64 i i))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) i)
✓	accuracy	100.0%	(*.f64 i #s(literal 1/2 binary64))
✓	accuracy	99.7%	(/.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 #s(literal -2 binary64) i))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	100.0%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓	accuracy	99.7%	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
✓	accuracy	100.0%	(.f64 (.f64 i i) #s(literal -1/4 binary64))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) i)
✓	accuracy	100.0%	(*.f64 i #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))
✓	accuracy	99.9%	(/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))

Samples

55.0ms

256×

valid

Compiler

Compiled 116 to 25 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 30.0ms (71.7% of total)

ival-div: 7.0ms (16.7% of total)

ival-add: 3.0ms (7.2% of total)

exact: 1.0ms (2.4% of total)

ival-neg: 1.0ms (2.4% of total)

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

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

series6.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))>
#<alt (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i))>
#<alt (*.f64 i #s(literal 1/2 binary64))>
#<alt (/.f64 #s(literal -2 binary64) i)>
#<alt (*.f64 i i)>
#<alt (.f64 (.f64 i i) #s(literal -1/4 binary64))>
#<alt (/.f64 #s(literal 1/64 binary64) (*.f64 i i))>
#<alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))>
#<alt (/.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 #s(literal -2 binary64) i))>
#<alt (.f64 i (.f64 i i))>
#<alt (.f64 i (.f64 i (*.f64 i i)))>
#<alt (neg.f64 (.f64 i (.f64 i (*.f64 i i))))>
#<alt (*.f64 i #s(literal -1/4 binary64))>

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 (/ -2 i)>
#<alt (/ (- (* 8 (pow i 2)) 2) i)>
#<alt (/ (- (* 8 (pow i 2)) 2) i)>
#<alt (/ (- (* 8 (pow i 2)) 2) i)>
#<alt (* 8 i)>
#<alt (* i (- 8 (* 2 (/ 1 (pow i 2)))))>
#<alt (* i (- 8 (* 2 (/ 1 (pow i 2)))))>
#<alt (* i (- 8 (* 2 (/ 1 (pow i 2)))))>
#<alt (* 8 i)>
#<alt (* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))>
#<alt (* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))>
#<alt (* -1 (* i (- (* 2 (/ 1 (pow i 2))) 8)))>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 i)>
#<alt (* 1/2 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)>
#<alt (/ -2 i)>
#<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 (/ 1/64 (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 (/ 1/64 (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 (* -1/4 (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 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<alt (pow i 3)>
#<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 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (pow i 4))>
#<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)>

Calls

39 calls:

Time	Variable		Point	Expression
0.0ms	i	@	-inf	(* i (* i i))
0.0ms	i	@	0	(/ 1/64 (* i i))
0.0ms	i	@	0	(/ (* i 1/2) (+ (* i 8) (/ -2 i)))
0.0ms	i	@	inf	(* (* i i) -1/4)
0.0ms	i	@	0	(* i (* i i))

rewrite310.0ms (4.1%)

Memory

31.9MiB live, 552.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 078×	`lower-fma.f32`
6 076×	`lower-fma.f64`
4 800×	`lower-*.f32`
4 788×	`lower-*.f64`
3 932×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	72
0	34	64
1	118	60
2	779	60
0	8064	59

Stop Event

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

Counts

13 → 564

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 i (.f64 (.f64 i i) #s(literal 512 binary64)) (/.f64 #s(literal -8 binary64) (.f64 i (.f64 i i))))) (.f64 i (.f64 i #s(literal 64 binary64)))) (.f64 (/.f64 (.f64 i #s(literal 1/2 binary64)) (fma.f64 i (.f64 (.f64 i i) #s(literal 512 binary64)) (/.f64 #s(literal -8 binary64) (.f64 i (.f64 i i))))) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) i) (*.f64 i #s(literal -16 binary64))) i)))
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(.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 #s(literal -4 binary64) (.f64 i i))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 i i) #s(literal 1/4 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) i)) (.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 #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 i i)))
(/.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 #s(literal -2 binary64) i))
(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(/.f64 (.f64 i (.f64 i #s(literal -1/4 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 i #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) i))
(/.f64 (neg.f64 i) (*.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))
(/.f64 (*.f64 i #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) i))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i 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))) #s(literal -2 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 i (.f64 i #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) i) (/.f64 #s(literal 1 binary64) i)))
(/.f64 (*.f64 i #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) i))
(/.f64 (neg.f64 (*.f64 i #s(literal -1/4 binary64))) (/.f64 #s(literal -1 binary64) i))
(/.f64 (/.f64 (*.f64 i #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) i))
(pow.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1 binary64))
(.f64 i (.f64 i #s(literal -1/4 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 i (*.f64 i #s(literal -1/2 binary64))))
(.f64 (.f64 i #s(literal 1/2 binary64)) (*.f64 i #s(literal -1/2 binary64)))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 i i)) #s(literal -1 binary64)))
(.f64 (.f64 i (*.f64 i #s(literal -1/4 binary64))) #s(literal 1 binary64))
(.f64 (.f64 i #s(literal -1/4 binary64)) i)
(.f64 (neg.f64 i) (.f64 i #s(literal 1/4 binary64)))
(*.f64 (neg.f64 i) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) i)))
(.f64 #s(literal 1 binary64) (.f64 i (*.f64 i #s(literal -1/4 binary64))))
(.f64 (.f64 i #s(literal -1/2 binary64)) (*.f64 i #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 i i) #s(literal 1/4 binary64)))
(.f64 (.f64 i (*.f64 i #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
(.f64 (.f64 i (*.f64 i #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 i (*.f64 i #s(literal 1/2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 i (*.f64 i #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 i #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) i)))
(.f64 #s(literal 1/4 binary64) (.f64 i (neg.f64 i)))
(*.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 i) (/.f64 #s(literal 1 binary64) i)))
(*.f64 #s(literal 1/4 binary64) (/.f64 i (/.f64 #s(literal -1 binary64) i)))
(.f64 (.f64 i #s(literal 1/4 binary64)) (neg.f64 i))
(.f64 (.f64 i #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i)))
(*.f64 (/.f64 i #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) i)))
(.f64 (pow.f64 (/.f64 #s(literal -4 binary64) (.f64 i i)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 i #s(literal 1/4 binary64))) (neg.f64 i))
(.f64 (.f64 (*.f64 i #s(literal 1/4 binary64)) #s(literal -1 binary64)) i)
(.f64 (/.f64 (.f64 i #s(literal -1/4 binary64)) #s(literal 1 binary64)) i)
(.f64 (/.f64 (.f64 i #s(literal -1/4 binary64)) #s(literal -1 binary64)) (neg.f64 i))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 i)))
(pow.f64 i #s(literal 3 binary64))
(pow.f64 (*.f64 i i) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 i #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 i)) #s(literal 3 binary64))
(.f64 i (.f64 i i))
(.f64 (.f64 i i) i)
(*.f64 (pow.f64 i #s(literal 3/2 binary64)) (pow.f64 i #s(literal 3/2 binary64)))
(+.f64 (.f64 i (.f64 i (*.f64 i i))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (.f64 i (.f64 i (*.f64 i i))))
(exp.f64 (*.f64 (log.f64 i) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 i i)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 i)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 i) (*.f64 #s(literal 2 binary64) (log.f64 i))))
(fma.f64 i (.f64 i (.f64 i i)) #s(literal 0 binary64))
(fma.f64 i (.f64 (neg.f64 i) (.f64 i (neg.f64 i))) #s(literal 0 binary64))
(fma.f64 (.f64 i i) (.f64 i i) #s(literal 0 binary64))
(fma.f64 (.f64 i (.f64 i i)) i #s(literal 0 binary64))
(fma.f64 (neg.f64 i) (.f64 i (.f64 i (neg.f64 i))) #s(literal 0 binary64))
(fma.f64 (.f64 i (neg.f64 i)) (.f64 i (neg.f64 i)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 i (.f64 i (*.f64 i i))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 i (.f64 i (*.f64 i (neg.f64 i)))) #s(literal 0 binary64))
(fma.f64 (.f64 i (.f64 i (neg.f64 i))) (neg.f64 i) #s(literal 0 binary64))
(fma.f64 (pow.f64 i #s(literal 3/2 binary64)) (*.f64 (pow.f64 i #s(literal 3/2 binary64)) i) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 i (neg.f64 i)) (neg.f64 i)) i #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 i (neg.f64 i)) #s(literal -1 binary64)) (*.f64 i i) #s(literal 0 binary64))
(fma.f64 (*.f64 i (pow.f64 i #s(literal 3/2 binary64))) (pow.f64 i #s(literal 3/2 binary64)) #s(literal 0 binary64))
(neg.f64 (.f64 i (.f64 i (*.f64 i (neg.f64 i)))))
(/.f64 (neg.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))))) (.f64 i (.f64 i (.f64 i (neg.f64 i)))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i (.f64 i i))))))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i (.f64 i i))))) #s(literal 0 binary64))))
(pow.f64 i #s(literal 4 binary64))
(pow.f64 (*.f64 i i) #s(literal 2 binary64))
(pow.f64 (*.f64 i (neg.f64 i)) #s(literal 2 binary64))
(.f64 i (.f64 i (*.f64 i i)))
(.f64 i (.f64 (neg.f64 i) (*.f64 i (neg.f64 i))))
(.f64 (.f64 i i) (*.f64 i i))
(.f64 (.f64 i (*.f64 i i)) i)
(.f64 (neg.f64 i) (.f64 i (*.f64 i (neg.f64 i))))
(.f64 (.f64 i (neg.f64 i)) (*.f64 i (neg.f64 i)))
(.f64 #s(literal 1 binary64) (.f64 i (.f64 i (.f64 i i))))
(.f64 #s(literal -1 binary64) (.f64 i (.f64 i (.f64 i (neg.f64 i)))))
(.f64 (.f64 i (*.f64 i (neg.f64 i))) (neg.f64 i))
(.f64 (pow.f64 i #s(literal 3/2 binary64)) (.f64 (pow.f64 i #s(literal 3/2 binary64)) i))
(.f64 (.f64 (*.f64 i (neg.f64 i)) (neg.f64 i)) i)
(.f64 (.f64 (.f64 i (neg.f64 i)) #s(literal -1 binary64)) (.f64 i i))
(.f64 (.f64 i (pow.f64 i #s(literal 3/2 binary64))) (pow.f64 i #s(literal 3/2 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 i (.f64 i (*.f64 i (neg.f64 i)))))
(+.f64 (.f64 i (.f64 i (*.f64 i (neg.f64 i)))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (*.f64 i i))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 i (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))))) (.f64 i (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i (*.f64 i i)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i i)))) (/.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i (.f64 i i))))) (.f64 i (.f64 i (*.f64 i i)))))
(fma.f64 i (.f64 i (.f64 i (neg.f64 i))) #s(literal 0 binary64))
(fma.f64 (.f64 i i) (.f64 i (neg.f64 i)) #s(literal 0 binary64))
(fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) #s(literal 0 binary64))
(fma.f64 (.f64 i (.f64 i (*.f64 i i))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 i) (.f64 i (.f64 i i)) #s(literal 0 binary64))
(fma.f64 (.f64 i (neg.f64 i)) (.f64 i i) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 i (.f64 i (*.f64 i i))) #s(literal 0 binary64))
(fma.f64 (.f64 i (.f64 i (neg.f64 i))) i #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i (.f64 i i))))))) (/.f64 #s(literal 1 binary64) (.f64 i (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 #s(literal 1 binary64) (.f64 i (.f64 i (.f64 i i)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 i #s(literal 3/2 binary64)) (*.f64 (pow.f64 i #s(literal 3/2 binary64)) (neg.f64 i)) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 i) (pow.f64 i #s(literal 3/2 binary64))) (pow.f64 i #s(literal 3/2 binary64)) #s(literal 0 binary64))
(neg.f64 (.f64 i (.f64 i (*.f64 i i))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i (.f64 i i))))) (neg.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 i (.f64 i (.f64 i i))) (neg.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i (.f64 i i))))))))
(/.f64 (neg.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i (.f64 i i))))))) (.f64 i (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i (.f64 i i))))))
(/.f64 (neg.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))))) (.f64 i (.f64 i (.f64 i i))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))))))) (neg.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i (.f64 i i))))))) (.f64 i (.f64 i (.f64 i (neg.f64 i)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 i (.f64 i (.f64 i (neg.f64 i)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 i (.f64 i (.f64 i (neg.f64 i)))) (.f64 i (.f64 i (.f64 i (neg.f64 i))))) (.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i (neg.f64 i))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 i (.f64 i (.f64 i (neg.f64 i)))) (.f64 i (.f64 i (.f64 i (neg.f64 i)))))) (-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (.f64 i (neg.f64 i))))))
(.f64 i (.f64 i (*.f64 i (neg.f64 i))))
(.f64 (.f64 i i) (*.f64 i (neg.f64 i)))
(.f64 (.f64 i (*.f64 i i)) (neg.f64 i))
(.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal -1 binary64))
(.f64 (neg.f64 i) (.f64 i (*.f64 i i)))
(.f64 (.f64 i (neg.f64 i)) (*.f64 i i))
(.f64 #s(literal -1 binary64) (.f64 i (.f64 i (.f64 i i))))
(.f64 (.f64 i (*.f64 i (neg.f64 i))) i)
(.f64 (neg.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i (.f64 i i))))))) (/.f64 #s(literal 1 binary64) (.f64 i (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i (*.f64 i i)))))))
(.f64 (neg.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i (.f64 i i)))))) (/.f64 #s(literal 1 binary64) (.f64 i (.f64 i (*.f64 i i)))))
(.f64 (pow.f64 i #s(literal 3/2 binary64)) (.f64 (pow.f64 i #s(literal 3/2 binary64)) (neg.f64 i)))
(.f64 (.f64 (neg.f64 i) (pow.f64 i #s(literal 3/2 binary64))) (pow.f64 i #s(literal 3/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 i #s(literal 1/4 binary64)))
(neg.f64 (*.f64 i #s(literal 1/4 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) i)))
(neg.f64 (*.f64 #s(literal 1/4 binary64) i))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) i)))
(/.f64 i #s(literal -4 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) i))
(/.f64 (*.f64 i #s(literal 1/2 binary64)) #s(literal -2 binary64))
(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) i))
(/.f64 (neg.f64 i) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) i))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) i) #s(literal 1 binary64)))
(/.f64 (*.f64 i #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) i))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) i))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) i))
(pow.f64 (/.f64 #s(literal -4 binary64) i) #s(literal -1 binary64))
(*.f64 i #s(literal -1/4 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 i #s(literal -1/2 binary64)))
(.f64 (.f64 i #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/4 binary64) i)
(*.f64 (neg.f64 i) #s(literal 1/4 binary64))
(.f64 #s(literal 1 binary64) (.f64 i #s(literal -1/4 binary64)))
(.f64 (.f64 i #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 i #s(literal 1/4 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 i #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/4 binary64) (neg.f64 i))

simplify564.0ms (7.5%)

Memory

-9.7MiB live, 473.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 346×	`lower-fma.f64`
10 346×	`lower-fma.f32`
3 134×	`lower-*.f64`
3 134×	`lower-*.f32`
1 964×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	751
1	136	751
2	291	750
3	642	728
4	1306	728
5	2305	728
6	4141	728
7	7444	728
0	8145	713

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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

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

eval179.0ms (2.4%)

Memory: 3.5MiB live, 230.7MiB allocated
Compiler: Compiled 13 462 to 1 500 computations (88.9% saved)

prune100.0ms (1.3%)

Memory

-11.3MiB live, 215.1MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	853	1	854
Fresh	0	1	1
Picked	1	4	5
Done	0	3	3
Total	854	9	863

Accuracy

100.0%

Counts

863 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.0%	(fma.f64 (.f64 i #s(literal -1/4 binary64)) i (neg.f64 (.f64 i (.f64 i (.f64 i i)))))
✓	99.9%	(/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))
▶	50.7%	(/.f64 i (/.f64 #s(literal -4 binary64) i))
▶	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i)))
✓	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
✓	50.0%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓	50.8%	(.f64 (.f64 i i) #s(literal -1/4 binary64))
✓	51.0%	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
✓	50.4%	#s(literal 1/16 binary64)

Compiler

Compiled 77 to 54 computations (29.9% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize47.0ms (0.6%)

Memory

-6.9MiB live, 68.8MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal -4 binary64) i)
✓	accuracy	99.7%	(/.f64 i (/.f64 #s(literal -4 binary64) i))
✓	accuracy	100.0%	(/.f64 #s(literal 4 binary64) i)
✓	accuracy	100.0%	(-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i))
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 4 binary64) i) i)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i)))

Samples

34.0ms

256×

valid

Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 8.0ms (84.2% of total)

ival-sub: 1.0ms (10.5% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i)))>
#<alt (/.f64 (/.f64 #s(literal 4 binary64) i) i)>
#<alt (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i))>
#<alt (/.f64 #s(literal 4 binary64) i)>
#<alt (/.f64 i (/.f64 #s(literal -4 binary64) i))>
#<alt (/.f64 #s(literal -4 binary64) 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 (/ 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 (/ (- (* 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 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)>
#<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	@	0	(/ 4 i)
0.0ms	i	@	0	(/ -4 i)
0.0ms	i	@	inf	(/ 4 i)
0.0ms	i	@	-inf	(/ 4 i)
0.0ms	i	@	0	(/ 1 (- 16 (/ (/ 4 i) i)))

rewrite375.0ms (5%)

Memory

6.5MiB live, 402.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 884×	`lower-*.f64`
2 884×	`lower-*.f32`
2 202×	`lower-fma.f64`
2 202×	`lower-fma.f32`
1 556×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
0	17	32
1	70	32
2	459	32
3	4643	32
0	8886	30

Stop Event

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

Counts

6 → 406

Calls

Call 1

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

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

simplify605.0ms (8.1%)

Memory

-33.8MiB live, 368.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 836×	`lower-fma.f64`
11 836×	`lower-fma.f32`
3 714×	`lower-*.f64`
3 714×	`lower-*.f32`
1 872×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	433
1	104	433
2	239	396
3	552	392
4	1057	392
5	1915	392
6	3837	392
7	6529	392
0	8410	389

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

eval176.0ms (2.3%)

Memory: 14.9MiB live, 90.6MiB allocated
Compiler: Compiled 8 668 to 1 082 computations (87.5% saved)

prune130.0ms (1.7%)

Memory

26.3MiB live, 142.3MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	478	0	478
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	478	9	487

Accuracy

100.0%

Counts

487 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.0%	(fma.f64 (.f64 i #s(literal -1/4 binary64)) i (neg.f64 (.f64 i (.f64 i (.f64 i i)))))
✓	99.9%	(/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))
✓	50.7%	(/.f64 i (/.f64 #s(literal -4 binary64) i))
✓	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i)))
✓	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
✓	50.0%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓	50.8%	(.f64 (.f64 i i) #s(literal -1/4 binary64))
✓	51.0%	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
✓	50.4%	#s(literal 1/16 binary64)

Compiler

Compiled 220 to 109 computations (50.5% saved)

regimes11.0ms (0.1%)

Memory

-21.2MiB live, 21.0MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
#s(literal 1/16 binary64)
(.f64 (.f64 i 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 i (/.f64 #s(literal -4 binary64) i))
(/.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 #s(literal -2 binary64) i))
(fma.f64 (.f64 i #s(literal -1/4 binary64)) i (neg.f64 (.f64 i (.f64 i (.f64 i i)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(/.f64 (.f64 (.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (/.f64 #s(literal 4 binary64) i) i)))
(/.f64 (.f64 i (.f64 (.f64 i i) #s(literal 1/4 binary64))) (.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) i))
(/.f64 (.f64 i #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 2 binary64) i) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

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

Calls

2 calls:

6.0ms

(/.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)))

4.0ms

Results

Accuracy	Segments	Branch
99.9%	1	`i`
99.9%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`

Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes7.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms

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

Results

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

Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes27.0ms (0.4%)

Memory

-24.9MiB live, 13.0MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

24.0ms

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
99.8%	2	`i`
77.4%	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)

regimes3.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

6 → 2

Calls

Call 1

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

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal 1/16 binary64)
(.f64 (.f64 i 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
99.7%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

5.9MiB live, 5.9MiB 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:

1.0ms

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

Results

Accuracy	Segments	Branch
50.4%	1	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
50.4%	1	`i`

Compiler

Compiled 28 to 11 computations (60.7% saved)

bsearch51.0ms (0.7%)

Memory

-15.4MiB live, 22.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
49.0ms	0.0006091274200652351	22564.181497698926

Samples

8.0ms

144×

valid

Compiler

Compiled 245 to 158 computations (35.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (54.3% of total)

ival-div: 2.0ms (36.2% of total)

ival-sub: 1.0ms (18.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0006091274200652351	22564.181497698926

Compiler

Compiled 209 to 140 computations (33% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0006091274200652351	22564.181497698926

Compiler

Compiled 155 to 104 computations (32.9% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0006091274200652351	22564.181497698926

Compiler

Compiled 119 to 86 computations (27.7% saved)

simplify8.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
18×	`+-commutative_binary64`
16×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	88
1	58	88
2	81	88
3	92	88
4	98	88
5	99	88

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 i #s(literal -1/4 binary64)) i (neg.f64 (.f64 i (.f64 i (.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)))) (+.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 (.f64 i i) #s(literal -1/4 binary64)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)

Outputs
(/.f64 (*.f64 i #s(literal 1/2 binary64)) (fma.f64 i #s(literal 8 binary64) (/.f64 #s(literal -2 binary64) i)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
(if (<=.f64 i #s(literal 1/2 binary64)) (fma.f64 (.f64 i #s(literal -1/4 binary64)) i (neg.f64 (.f64 i (.f64 i (.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)) (fma.f64 (.f64 i #s(literal -1/4 binary64)) i (.f64 (.f64 i (.f64 i i)) (neg.f64 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)))) (+.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 (.f64 i i) #s(literal -1/4 binary64)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)

soundness1.1s (14.5%)

Memory

-1.5MiB live, 630.2MiB allocated

Rules

14 300×	`lower-fma.f64`
14 300×	`lower-fma.f32`
10 218×	`lower-fma.f64`
10 218×	`lower-fma.f32`
7 470×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	50
0	17	38
1	75	32
2	653	20
0	8740	19
0	23	95
0	38	93
1	155	93
2	1122	92
0	9007	89
0	46	267
1	87	267
2	193	266
3	436	262
4	885	262
5	1648	262
6	2804	262
7	4775	262
8	5891	262
9	7568	262
0	8133	259
0	86	1116
1	208	1116
2	577	1050
3	1735	1020
4	4834	1020
5	7041	1020
0	8149	993

Stop Event

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

Compiler

Compiled 150 to 77 computations (48.7% saved)

preprocess80.0ms (1.1%)

Memory: -12.0MiB live, 186.2MiB allocated
Remove: (abs i)
Compiler: Compiled 252 to 104 computations (58.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

sample1.1s (14.2%)

preprocess366.0ms (4.9%)

explain188.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify0.0ms (0%)

localize34.0ms (0.5%)

series4.0ms (0.1%)

rewrite266.0ms (3.5%)

simplify393.0ms (5.2%)

eval100.0ms (1.3%)

prune92.0ms (1.2%)

simplify0.0ms (0%)

localize129.0ms (1.7%)

series28.0ms (0.4%)

rewrite326.0ms (4.3%)

simplify353.0ms (4.7%)

eval150.0ms (2%)

prune151.0ms (2%)

simplify0.0ms (0%)

localize90.0ms (1.2%)

series6.0ms (0.1%)

rewrite310.0ms (4.1%)

simplify564.0ms (7.5%)

eval179.0ms (2.4%)

prune100.0ms (1.3%)

simplify0.0ms (0%)

localize47.0ms (0.6%)

series2.0ms (0%)

rewrite375.0ms (5%)

simplify605.0ms (8.1%)

eval176.0ms (2.3%)

prune130.0ms (1.7%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes27.0ms (0.4%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch51.0ms (0.7%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify8.0ms (0.1%)

soundness1.1s (14.5%)

preprocess80.0ms (1.1%)

end0.0ms (0%)

Profiling