Metrics for Octave 3.8, jcobi/4, as called

analyze3.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 29 to 13 computations (55.2% saved)

sample1.2s (17.2%)

Memory

-114.2MiB live, 1 563.1MiB allocated

Samples

978.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 712.0ms

ival-div: 395.0ms (55.4% of total)

ival-mult: 213.0ms (29.9% of total)

ival-sub: 59.0ms (8.3% of total)

ival->: 26.0ms (3.6% of total)

exact: 14.0ms (2% of total)

ival-assert: 5.0ms (0.7% of total)

Bogosity

preprocess512.0ms (7.2%)

Memory

-34.7MiB live, 485.1MiB 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)))

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)

explain202.0ms (2.8%)

Memory

22.9MiB live, 185.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
256	-	196	(1.3119111411230527e+53)	`(/.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)))`
256	-	64	(1.3119111411230527e+53)	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
256	-	256	(1.3119111411230527e+53)	`(*.f64 #s(literal 2 binary64) i)`
139	-	139	(1.3119111411230527e+53)	`(*.f64 i i)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) 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)`

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	60	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	98
↳	`(*.f64 i i)`	overflow	120
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	60
`/.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	60	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	98
↳	`(*.f64 i i)`	overflow	120
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	60
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	60
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	60
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	60
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	57	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	94
↳	`(*.f64 i i)`	underflow	114
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	57
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	38	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	98
↳	`(*.f64 i i)`	overflow	120
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	37	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	94
↳	`(*.f64 i i)`	underflow	114

Confusion

	Predicted +	Predicted -
+	191	0
-	1	64

Precision

0.9947916666666666

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	191	0	0
-	1	0	64

Precision?

0.9947916666666666

Recall?

1.0

Freqs

test

number	freq
0	64
1	132
2	60

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

35.0ms

512×

valid

Compiler

Compiled 273 to 54 computations (80.2% saved)

Precisions

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

ival-mult: 11.0ms (52.9% of total)

ival-div: 6.0ms (28.8% of total)

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

exact: 1.0ms (4.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.7%	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))

Status

Accuracy

Program

▶

27.7%

(/.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)

simplify420.0ms (5.9%)

Memory

-6.7MiB live, 309.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

7 204×	`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	10	72
0	17	62
1	45	56
2	187	42
3	1060	42
4	3649	40
5	5292	40
6	7322	40
0	8036	38

Stop Event

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

Calls

Call 1

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

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

localize50.0ms (0.7%)

Memory

12.4MiB live, 51.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	56.1%	(*.f64 i i)
✓	accuracy	18.8%	(*.f64 #s(literal 2 binary64) i)
✓	accuracy	6.7%	(/.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	5.2%	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Samples

40.0ms

256×

valid

Compiler

Compiled 147 to 22 computations (85% saved)

Precisions

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

ival-mult: 6.0ms (58.5% of total)

ival-div: 3.0ms (29.3% of total)

ival-sub: 1.0ms (9.8% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.3%)

Memory

-52.0MiB live, 9.0MiB allocated

Counts

6 → 72

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 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))>
#<alt (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal 2 binary64) i)>
#<alt (*.f64 i 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 (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) (- (* (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 1/4>
#<alt (+ 1/4 (* 1/16 (/ 1 (pow i 2))))>
#<alt (+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2)))))>
#<alt (+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6))))))>
#<alt 1/4>
#<alt (+ 1/4 (* 1/16 (/ 1 (pow i 2))))>
#<alt (+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2)))))>
#<alt (+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 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 (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>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (- (* 4 (pow i 2)) 1)>
#<alt (* 4 (pow i 3))>
#<alt (* (pow i 3) (- 4 (/ 1 (pow i 3))))>
#<alt (* (pow i 3) (- 4 (/ 1 (pow i 3))))>
#<alt (* (pow i 3) (- 4 (/ 1 (pow i 3))))>
#<alt (* -4 (pow i 3))>
#<alt (* -1 (* (pow i 3) (+ 4 (/ 1 (pow i 3)))))>
#<alt (* -1 (* (pow i 3) (+ 4 (/ 1 (pow i 3)))))>
#<alt (* -1 (* (pow i 3) (+ 4 (/ 1 (pow i 3)))))>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt (* 2 i)>
#<alt i>
#<alt i>
#<alt i>
#<alt i>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt i>
#<alt i>
#<alt i>
#<alt 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)>

Calls

18 calls:

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

Compiler

Compiled 138 to 107 computations (22.5% saved)

rewrite325.0ms (4.6%)

Memory

29.9MiB live, 265.1MiB 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	62
0	17	48
1	75	44
2	653	32
0	8740	30

Stop Event

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

Counts

6 → 656

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 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))
(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) i)
(*.f64 i 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))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64))) (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)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (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)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64))) (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 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64))) (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)))) (fma.f64 (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (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 (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64))) (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 #s(literal 1 binary64) (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 (pow.f64 (.f64 (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) (/.f64 i (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) (/.f64 i (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))) (.f64 (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) (/.f64 i (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) (/.f64 i (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64))) (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 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64))) (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 #s(literal 1 binary64) (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 #s(literal 1 binary64) (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)))))) (fma.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (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 #s(literal 1 binary64) (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 (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) (/.f64 i (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))) (.f64 (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) (/.f64 i (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))))) (fma.f64 (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) (/.f64 i (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (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 (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))))
(/.f64 (.f64 (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 (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 i (.f64 (.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))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64))) (.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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))))) (fma.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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))))) (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal 256 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i i)))) (fma.f64 i (.f64 i (.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 256 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i i)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 i (.f64 i i)) #s(literal 8 binary64) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 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))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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 (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (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)))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (fma.f64 (.f64 i i) #s(literal -4 binary64) #s(literal 1 binary64)))
(.f64 (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))))
(.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) (neg.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))))
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (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 (neg.f64 (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (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)))) (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 i (.f64 i (.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64))) (fma.f64 (.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4096 binary64) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i)))) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i i))))) (.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))))) (fma.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 i (.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))))) (.f64 #s(literal 256 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (.f64 i i)))))))
(.f64 (/.f64 (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (.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 i i) (-.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))) (-.f64 (.f64 (.f64 i i) (-.f64 (.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 i i) (-.f64 (.f64 (.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 i (.f64 i (.f64 (.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -16 binary64) (.f64 i (.f64 i (.f64 i i)))))) (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal 1 binary64)))
(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)))
(exp.f64 (log.f64 (*.f64 i i)))
(exp.f64 (.f64 (log.f64 (.f64 i i)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(/.f64 (.f64 i (.f64 i i)) i)
(/.f64 (neg.f64 (.f64 i (.f64 i i))) (neg.f64 i))
(pow.f64 i #s(literal 2 binary64))
(pow.f64 (*.f64 i i) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 i)) #s(literal 2 binary64))
(*.f64 i i)
(.f64 (.f64 i i) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 i i))
(.f64 (.f64 i (*.f64 i i)) (/.f64 #s(literal 1 binary64) i))
(*.f64 (exp.f64 (log.f64 i)) (exp.f64 (log.f64 i)))
(.f64 (pow.f64 (.f64 i i) #s(literal 1/2 binary64)) (pow.f64 (*.f64 i i) #s(literal 1/2 binary64)))

simplify491.0ms (6.9%)

Memory

-17.6MiB live, 258.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 622×	`lower-fma.f64`
11 622×	`lower-fma.f32`
2 834×	`lower-*.f64`
2 834×	`lower-*.f32`
1 936×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	376
1	121	364
2	310	347
3	754	344
4	1532	344
5	4244	344
6	7121	344
0	8031	332

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 64

Calls

Call 1

Inputs
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(* 1/4 (pow i 2))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/4
(+ 1/4 (* 1/16 (/ 1 (pow i 2))))
(+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2)))))
(+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6))))))
1/4
(+ 1/4 (* 1/16 (/ 1 (pow i 2))))
(+ 1/4 (+ (/ 1/64 (pow i 4)) (* 1/16 (/ 1 (pow i 2)))))
(+ 1/4 (+ (/ 1/64 (pow i 4)) (+ (* 1/16 (/ 1 (pow i 2))) (* 1/256 (/ 1 (pow i 6))))))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(* 4 (pow i 2))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
-1
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(- (* 4 (pow i 2)) 1)
(* 4 (pow i 3))
(* (pow i 3) (- 4 (/ 1 (pow i 3))))
(* (pow i 3) (- 4 (/ 1 (pow i 3))))
(* (pow i 3) (- 4 (/ 1 (pow i 3))))
(* -4 (pow i 3))
(* -1 (* (pow i 3) (+ 4 (/ 1 (pow i 3)))))
(* -1 (* (pow i 3) (+ 4 (/ 1 (pow i 3)))))
(* -1 (* (pow i 3) (+ 4 (/ 1 (pow i 3)))))
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
i
i
i
i
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
i
i
i
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)

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

eval150.0ms (2.1%)

Memory: 12.4MiB live, 126.6MiB allocated
Compiler: Compiled 23 142 to 1 945 computations (91.6% saved)

prune118.0ms (1.6%)

Memory

9.4MiB live, 207.1MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	845	4	849
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	846	4	850

Accuracy

100.0%

Counts

850 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
▶	47.2%	(.f64 (.f64 i i) #s(literal -1/4 binary64))
▶	47.3%	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
▶	10.4%	#s(literal 1/4 binary64)

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify57.0ms (0.8%)

Memory

-10.7MiB live, 65.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

664×	`lower-fma.f64`
664×	`lower-fma.f32`
440×	`lower-*.f32`
432×	`lower-*.f64`
152×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	65
0	22	65
1	39	65
2	69	65
3	115	65
4	178	65
5	238	65
6	334	65
7	502	65
8	637	65
9	720	65
10	855	65
11	973	65
12	1034	65
13	1065	65
14	1084	65
15	1105	65
16	1109	65
0	1109	65

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize42.0ms (0.6%)

Memory

12.3MiB live, 91.8MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	8.7%	(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))
✓	accuracy	8.6%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
✓	accuracy	3.0%	(/.f64 #s(literal 4 binary64) (*.f64 i i))
✓	accuracy	2.5%	(*.f64 i i)
✓	accuracy	100.0%	(.f64 (.f64 i i) #s(literal -1/4 binary64))
✓	accuracy	2.5%	(*.f64 i i)
✓	accuracy	100.0%	(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
✓	accuracy	24.6%	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
✓	accuracy	4.4%	(.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i i)))
✓	accuracy	2.5%	(*.f64 i i)

Samples

23.0ms

256×

valid

Compiler

Compiled 133 to 30 computations (77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 6.0ms (43% of total)

ival-div: 3.0ms (21.5% of total)

ival-sub: 2.0ms (14.3% of total)

exact: 2.0ms (14.3% of total)

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

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

series10.0ms (0.1%)

Memory

24.2MiB live, 24.2MiB allocated

Counts

8 → 96

Calls

Call 1

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

Outputs
#<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 8))>
#<alt (* -1 (* (pow i 8) (+ 1 (* 1/4 (/ 1 (pow i 4))))))>
#<alt (* -1 (* (pow i 8) (+ 1 (* 1/4 (/ 1 (pow i 4))))))>
#<alt (* -1 (* (pow i 8) (+ 1 (* 1/4 (/ 1 (pow i 4))))))>
#<alt (* -1 (pow i 8))>
#<alt (* -1 (* (pow i 8) (+ 1 (* 1/4 (/ 1 (pow i 4))))))>
#<alt (* -1 (* (pow i 8) (+ 1 (* 1/4 (/ 1 (pow i 4))))))>
#<alt (* -1 (* (pow i 8) (+ 1 (* 1/4 (/ 1 (pow i 4))))))>
#<alt (* -1/4 i)>
#<alt (* i (- (* -1 (pow i 3)) 1/4))>
#<alt (* i (- (* -1 (pow i 3)) 1/4))>
#<alt (* i (- (* -1 (pow i 3)) 1/4))>
#<alt (* -1 (pow i 5))>
#<alt (* -1 (* (pow i 5) (+ 1 (* 1/4 (/ 1 (pow i 4))))))>
#<alt (* -1 (* (pow i 5) (+ 1 (* 1/4 (/ 1 (pow i 4))))))>
#<alt (* -1 (* (pow i 5) (+ 1 (* 1/4 (/ 1 (pow i 4))))))>
#<alt (pow i 4)>
#<alt (* (pow i 4) (- 1 (* 1/4 (/ 1 (pow i 3)))))>
#<alt (* (pow i 4) (- 1 (* 1/4 (/ 1 (pow i 3)))))>
#<alt (* (pow i 4) (- 1 (* 1/4 (/ 1 (pow i 3)))))>
#<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 3))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 3))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 3))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 3))))))>
#<alt (pow i 3)>
#<alt (* -1 (* (pow i 3) (- (* 1/4 (/ 1 (pow i 3))) 1)))>
#<alt (* -1 (* (pow i 3) (- (* 1/4 (/ 1 (pow i 3))) 1)))>
#<alt (* -1 (* (pow i 3) (- (* 1/4 (/ 1 (pow i 3))) 1)))>
#<alt i>
#<alt i>
#<alt i>
#<alt 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 (* -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)>
#<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 4))>
#<alt (* (pow i 4) (- (* -1 (pow i 4)) 1/4))>
#<alt (* (pow i 4) (- (* (pow i 4) (- (* -4 (pow i 4)) 1)) 1/4))>
#<alt (* (pow i 4) (- (* (pow i 4) (- (* (pow i 4) (- (* -16 (pow i 4)) 4)) 1)) 1/4))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 4))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 8)) (* 1/64 (/ 1 (pow i 4)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 8)) (+ (* 1/64 (/ 1 (pow i 4))) (* 1/1024 (/ 1 (pow i 12))))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 4))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 8)) (* 1/64 (/ 1 (pow i 4)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 8)) (+ (* 1/64 (/ 1 (pow i 4))) (* 1/1024 (/ 1 (pow i 12))))))>
#<alt (/ -4 (pow i 4))>
#<alt (/ (- (* 16 (pow i 4)) 4) (pow i 4))>
#<alt (/ (- (* 16 (pow i 4)) 4) (pow i 4))>
#<alt (/ (- (* 16 (pow i 4)) 4) (pow i 4))>
#<alt 16>
#<alt (- 16 (* 4 (/ 1 (pow i 3))))>
#<alt (- 16 (* 4 (/ 1 (pow i 3))))>
#<alt (- 16 (* 4 (/ 1 (pow i 3))))>
#<alt 16>
#<alt (+ 16 (* 4 (/ 1 (pow i 3))))>
#<alt (+ 16 (* 4 (/ 1 (pow i 3))))>
#<alt (+ 16 (* 4 (/ 1 (pow i 3))))>
#<alt (/ 1 (pow i 2))>
#<alt (/ 1 (pow i 2))>
#<alt (/ 1 (pow i 2))>
#<alt (/ 1 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>
#<alt (/ 4 (pow i 2))>

Calls

24 calls:

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

Compiler

Compiled 207 to 170 computations (17.9% saved)

rewrite247.0ms (3.5%)

Memory

-17.2MiB live, 538.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 448×	`lower-*.f32`
3 440×	`lower-*.f64`
3 172×	`lower-fma.f64`
3 172×	`lower-fma.f32`
2 442×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
0	21	50
1	83	50
2	527	50
3	5596	50
0	8204	48

Stop Event

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

Counts

8 → 392

Calls

Call 1

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

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

simplify234.0ms (3.3%)

Memory

-0.5MiB live, 517.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 318×	`lower-fma.f64`
7 318×	`lower-fma.f32`
2 724×	`lower-*.f64`
2 724×	`lower-*.f32`
1 768×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	665
1	201	665
2	528	601
3	1493	588
4	3448	588
5	5820	588
0	8257	585

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 92

Calls

Call 1

Inputs
(* -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 8))
(* -1 (* (pow i 8) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(* -1 (* (pow i 8) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(* -1 (* (pow i 8) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(* -1 (pow i 8))
(* -1 (* (pow i 8) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(* -1 (* (pow i 8) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(* -1 (* (pow i 8) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(* -1/4 i)
(* i (- (* -1 (pow i 3)) 1/4))
(* i (- (* -1 (pow i 3)) 1/4))
(* i (- (* -1 (pow i 3)) 1/4))
(* -1 (pow i 5))
(* -1 (* (pow i 5) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(* -1 (* (pow i 5) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(* -1 (* (pow i 5) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(pow i 4)
(* (pow i 4) (- 1 (* 1/4 (/ 1 (pow i 3)))))
(* (pow i 4) (- 1 (* 1/4 (/ 1 (pow i 3)))))
(* (pow i 4) (- 1 (* 1/4 (/ 1 (pow i 3)))))
-1/4
(- (* -1 (pow i 2)) 1/4)
(- (* -1 (pow i 2)) 1/4)
(- (* -1 (pow i 2)) 1/4)
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 3))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 3))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 3))))))
(pow i 3)
(* -1 (* (pow i 3) (- (* 1/4 (/ 1 (pow i 3))) 1)))
(* -1 (* (pow i 3) (- (* 1/4 (/ 1 (pow i 3))) 1)))
(* -1 (* (pow i 3) (- (* 1/4 (/ 1 (pow i 3))) 1)))
i
i
i
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)
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(* -1/4 (pow i 4))
(* (pow i 4) (- (* -1 (pow i 4)) 1/4))
(* (pow i 4) (- (* (pow i 4) (- (* -4 (pow i 4)) 1)) 1/4))
(* (pow i 4) (- (* (pow i 4) (- (* (pow i 4) (- (* -16 (pow i 4)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 4))))
(+ 1/16 (+ (/ 1/256 (pow i 8)) (* 1/64 (/ 1 (pow i 4)))))
(+ 1/16 (+ (/ 1/256 (pow i 8)) (+ (* 1/64 (/ 1 (pow i 4))) (* 1/1024 (/ 1 (pow i 12))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 4))))
(+ 1/16 (+ (/ 1/256 (pow i 8)) (* 1/64 (/ 1 (pow i 4)))))
(+ 1/16 (+ (/ 1/256 (pow i 8)) (+ (* 1/64 (/ 1 (pow i 4))) (* 1/1024 (/ 1 (pow i 12))))))
(/ -4 (pow i 4))
(/ (- (* 16 (pow i 4)) 4) (pow i 4))
(/ (- (* 16 (pow i 4)) 4) (pow i 4))
(/ (- (* 16 (pow i 4)) 4) (pow i 4))
16
(- 16 (* 4 (/ 1 (pow i 3))))
(- 16 (* 4 (/ 1 (pow i 3))))
(- 16 (* 4 (/ 1 (pow i 3))))
16
(+ 16 (* 4 (/ 1 (pow i 3))))
(+ 16 (* 4 (/ 1 (pow i 3))))
(+ 16 (* 4 (/ 1 (pow i 3))))
(/ 1 (pow i 2))
(/ 1 (pow i 2))
(/ 1 (pow i 2))
(/ 1 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))
(/ 4 (pow i 2))

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 (neg.f64 (.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 i (neg.f64 (.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(.f64 i (neg.f64 (.f64 i (fma.f64 i i #s(literal 1/4 binary64)))))
(* -1 (pow i 8))
(.f64 (.f64 i (neg.f64 i)) (.f64 (.f64 i (.f64 i i)) (.f64 i (*.f64 i i))))
(* -1 (* (pow i 8) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(.f64 (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 i (.f64 i (*.f64 i i))))))
(* -1 (* (pow i 8) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(.f64 (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 i (.f64 i (*.f64 i i))))))
(* -1 (* (pow i 8) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(.f64 (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 i (.f64 i (*.f64 i i))))))
(* -1 (pow i 8))
(.f64 (.f64 i (neg.f64 i)) (.f64 (.f64 i (.f64 i i)) (.f64 i (*.f64 i i))))
(* -1 (* (pow i 8) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(.f64 (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 i (.f64 i (*.f64 i i))))))
(* -1 (* (pow i 8) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(.f64 (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 i (.f64 i (*.f64 i i))))))
(* -1 (* (pow i 8) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(.f64 (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 i (.f64 i (*.f64 i i))))))
(* -1/4 i)
(*.f64 #s(literal -1/4 binary64) i)
(* i (- (* -1 (pow i 3)) 1/4))
(.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i (*.f64 i i))))
(* i (- (* -1 (pow i 3)) 1/4))
(.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i (*.f64 i i))))
(* i (- (* -1 (pow i 3)) 1/4))
(.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i (*.f64 i i))))
(* -1 (pow i 5))
(neg.f64 (pow.f64 i #s(literal 5 binary64)))
(* -1 (* (pow i 5) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(.f64 (pow.f64 i #s(literal 5 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 i (.f64 i (.f64 i i))))))
(* -1 (* (pow i 5) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(.f64 (pow.f64 i #s(literal 5 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 i (.f64 i (.f64 i i))))))
(* -1 (* (pow i 5) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(.f64 (pow.f64 i #s(literal 5 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 i (.f64 i (.f64 i i))))))
(pow i 4)
(.f64 i (.f64 i (*.f64 i i)))
(* (pow i 4) (- 1 (* 1/4 (/ 1 (pow i 3)))))
(.f64 (.f64 i (.f64 i (.f64 i i))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 i (.f64 i i)))))
(* (pow i 4) (- 1 (* 1/4 (/ 1 (pow i 3)))))
(.f64 (.f64 i (.f64 i (.f64 i i))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 i (.f64 i i)))))
(* (pow i 4) (- 1 (* 1/4 (/ 1 (pow i 3)))))
(.f64 (.f64 i (.f64 i (.f64 i i))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 i (.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 3))
(neg.f64 (.f64 i (.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 3))))))
(-.f64 #s(literal -1/4 binary64) (.f64 i (.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 3))))))
(-.f64 #s(literal -1/4 binary64) (.f64 i (.f64 i i)))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 3))))))
(-.f64 #s(literal -1/4 binary64) (.f64 i (.f64 i i)))
(pow i 3)
(.f64 i (.f64 i i))
(* -1 (* (pow i 3) (- (* 1/4 (/ 1 (pow i 3))) 1)))
(fma.f64 i (*.f64 i i) #s(literal -1/4 binary64))
(* -1 (* (pow i 3) (- (* 1/4 (/ 1 (pow i 3))) 1)))
(fma.f64 i (*.f64 i i) #s(literal -1/4 binary64))
(* -1 (* (pow i 3) (- (* 1/4 (/ 1 (pow i 3))) 1)))
(fma.f64 i (*.f64 i i) #s(literal -1/4 binary64))
i
i
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))
(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 4))
(.f64 #s(literal -1/4 binary64) (.f64 i (.f64 i (.f64 i i))))
(* (pow i 4) (- (* -1 (pow i 4)) 1/4))
(.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 (.f64 i i) (.f64 i (neg.f64 i)) #s(literal -1/4 binary64)))
(* (pow i 4) (- (* (pow i 4) (- (* -4 (pow i 4)) 1)) 1/4))
(.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
(* (pow i 4) (- (* (pow i 4) (- (* (pow i 4) (- (* -16 (pow i 4)) 4)) 1)) 1/4))
(.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 (.f64 i (.f64 i (*.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 4))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i (.f64 i (*.f64 i i)))))
(+ 1/16 (+ (/ 1/256 (pow i 8)) (* 1/64 (/ 1 (pow i 4)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i (.f64 i (.f64 i i)))) (/.f64 #s(literal 1/256 binary64) (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))))))
(+ 1/16 (+ (/ 1/256 (pow i 8)) (+ (* 1/64 (/ 1 (pow i 4))) (* 1/1024 (/ 1 (pow i 12))))))
(+.f64 (/.f64 #s(literal 1/256 binary64) (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))))) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 12 binary64)))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 4))))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i (.f64 i (*.f64 i i)))))
(+ 1/16 (+ (/ 1/256 (pow i 8)) (* 1/64 (/ 1 (pow i 4)))))
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i (.f64 i (.f64 i i)))) (/.f64 #s(literal 1/256 binary64) (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))))))
(+ 1/16 (+ (/ 1/256 (pow i 8)) (+ (* 1/64 (/ 1 (pow i 4))) (* 1/1024 (/ 1 (pow i 12))))))
(+.f64 (/.f64 #s(literal 1/256 binary64) (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))))) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i (.f64 i (.f64 i i))))) (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 12 binary64)))))
(/ -4 (pow i 4))
(/.f64 #s(literal -4 binary64) (.f64 i (.f64 i (*.f64 i i))))
(/ (- (* 16 (pow i 4)) 4) (pow i 4))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i (.f64 i (*.f64 i i)))))
(/ (- (* 16 (pow i 4)) 4) (pow i 4))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i (.f64 i (*.f64 i i)))))
(/ (- (* 16 (pow i 4)) 4) (pow i 4))
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i (.f64 i (*.f64 i i)))))
16
#s(literal 16 binary64)
(- 16 (* 4 (/ 1 (pow i 3))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i (.f64 i i))))
(- 16 (* 4 (/ 1 (pow i 3))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i (.f64 i i))))
(- 16 (* 4 (/ 1 (pow i 3))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (.f64 i (.f64 i i))))
16
#s(literal 16 binary64)
(+ 16 (* 4 (/ 1 (pow i 3))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i (.f64 i i))))
(+ 16 (* 4 (/ 1 (pow i 3))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i (.f64 i i))))
(+ 16 (* 4 (/ 1 (pow i 3))))
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (.f64 i (.f64 i i))))
(/ 1 (pow i 2))
(/.f64 #s(literal 1 binary64) (*.f64 i i))
(/ 1 (pow i 2))
(/.f64 #s(literal 1 binary64) (*.f64 i i))
(/ 1 (pow i 2))
(/.f64 #s(literal 1 binary64) (*.f64 i i))
(/ 1 (pow i 2))
(/.f64 #s(literal 1 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))

eval64.0ms (0.9%)

Memory: -5.7MiB live, 149.5MiB allocated
Compiler: Compiled 12 034 to 1 355 computations (88.7% saved)

prune55.0ms (0.8%)

Memory

36.5MiB live, 153.9MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	541	5	546
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	543	7	550

Accuracy

100.0%

Counts

550 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
▶	53.6%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i (.f64 i (*.f64 i i)))))
▶	47.2%	(.f64 (.f64 i #s(literal -1/4 binary64)) i)
▶	47.3%	(.f64 i (fma.f64 (.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))))
✓	47.3%	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
▶	26.7%	(*.f64 i i)
▶	54.2%	#s(literal 1/16 binary64)

Compiler

Compiled 92 to 60 computations (34.8% saved)

simplify90.0ms (1.3%)

Memory

-14.1MiB live, 100.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 i (.f64 i i))
✓	cost-diff	0	(.f64 i (.f64 i (*.f64 i i)))
✓	cost-diff	0	(/.f64 #s(literal 1/64 binary64) (.f64 i (.f64 i (*.f64 i i))))
✓	cost-diff	0	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i (.f64 i (*.f64 i i)))))
✓	cost-diff	0	(neg.f64 i)
✓	cost-diff	0	(*.f64 i i)
✓	cost-diff	0	(.f64 i (fma.f64 (.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))))
✓	cost-diff	320	(fma.f64 (.f64 i i) (neg.f64 i) (.f64 i #s(literal -1/4 binary64)))
✓	cost-diff	0	(*.f64 i #s(literal -1/4 binary64))
✓	cost-diff	0	(.f64 (.f64 i #s(literal -1/4 binary64)) i)
✓	cost-diff	0	(*.f64 i i)

Rules

896×	`lower-fma.f32`
894×	`lower-fma.f64`
640×	`lower-*.f32`
628×	`lower-*.f64`
324×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	83
0	25	73
1	52	65
2	90	65
3	132	65
4	170	65
5	222	65
6	349	65
7	450	65
8	587	65
9	661	65
10	752	65
11	1323	65
12	1949	65
13	2011	65
14	2168	65
15	2242	65
16	2244	65
0	2244	65

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize77.0ms (1.1%)

Memory

-18.3MiB live, 105.6MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	6.8%	(*.f64 i i)
✓	accuracy	2.7%	(.f64 i (.f64 i (*.f64 i i)))
✓	accuracy	1.7%	(/.f64 #s(literal 1/64 binary64) (.f64 i (.f64 i (*.f64 i i))))
✓	accuracy	1.2%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i (.f64 i (*.f64 i i)))))
✓	accuracy	37.7%	(fma.f64 (.f64 i i) (neg.f64 i) (.f64 i #s(literal -1/4 binary64)))
✓	accuracy	6.8%	(*.f64 i i)
✓	accuracy	5.2%	(neg.f64 i)
✓	accuracy	2.6%	(.f64 i (fma.f64 (.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))))
✓	accuracy	100.0%	(*.f64 i #s(literal -1/4 binary64))
✓	accuracy	2.6%	(.f64 (.f64 i #s(literal -1/4 binary64)) i)
✓	accuracy	6.8%	(*.f64 i i)

Samples

49.0ms

256×

valid

Compiler

Compiled 171 to 31 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 10.0ms (61.9% of total)

ival-div: 2.0ms (12.4% of total)

ival-add: 2.0ms (12.4% of total)

ival-neg: 1.0ms (6.2% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

22.9MiB live, 22.9MiB allocated

Counts

10 → 120

Calls

Call 1

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

Outputs
#<alt i>
#<alt i>
#<alt i>
#<alt 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 (* -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)>
#<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 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt i>
#<alt i>
#<alt i>
#<alt i>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1/4 i)>
#<alt (* i (- (* -1 i) 1/4))>
#<alt (* i (- (* -1 i) 1/4))>
#<alt (* i (- (* -1 i) 1/4))>
#<alt (* -1 (pow i 5))>
#<alt (* -1 (* (pow i 5) (+ 1 (* 1/4 (/ 1 (pow i 4))))))>
#<alt (* -1 (* (pow i 5) (+ 1 (* 1/4 (/ 1 (pow i 4))))))>
#<alt (* -1 (* (pow i 5) (+ 1 (* 1/4 (/ 1 (pow i 4))))))>
#<alt (* -1 (pow i 5))>
#<alt (* -1 (* (pow i 5) (+ 1 (* 1/4 (/ 1 (pow i 4))))))>
#<alt (* -1 (* (pow i 5) (+ 1 (* 1/4 (/ 1 (pow i 4))))))>
#<alt (* -1 (* (pow i 5) (+ 1 (* 1/4 (/ 1 (pow i 4))))))>
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 i) 1/4))>
#<alt (* (pow i 2) (- (* -1 i) 1/4))>
#<alt (* (pow i 2) (- (* -1 i) 1/4))>
#<alt (* -1 (pow i 7))>
#<alt (* -1 (* (pow i 7) (+ 1 (* 1/4 (/ 1 (pow i 5))))))>
#<alt (* -1 (* (pow i 7) (+ 1 (* 1/4 (/ 1 (pow i 5))))))>
#<alt (* -1 (* (pow i 7) (+ 1 (* 1/4 (/ 1 (pow i 5))))))>
#<alt (pow i 7)>
#<alt (* -1 (* (pow i 7) (- (* 1/4 (/ 1 (pow i 5))) 1)))>
#<alt (* -1 (* (pow i 7) (- (* 1/4 (/ 1 (pow i 5))) 1)))>
#<alt (* -1 (* (pow i 7) (- (* 1/4 (/ 1 (pow i 5))) 1)))>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (* -1 i)>
#<alt (/ 1/64 (pow i 4))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 4))) (pow i 4))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 4))) (pow i 4))>
#<alt (/ (+ 1/64 (* 1/16 (pow i 4))) (pow i 4))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 3))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 3))))>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 3))))>
#<alt 1/16>
#<alt (- 1/16 (* 1/64 (/ 1 (pow i 3))))>
#<alt (- 1/16 (* 1/64 (/ 1 (pow i 3))))>
#<alt (- 1/16 (* 1/64 (/ 1 (pow i 3))))>
#<alt (/ 1 (pow i 2))>
#<alt (/ 1 (pow i 2))>
#<alt (/ 1 (pow i 2))>
#<alt (/ 1 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt (/ 1/64 (pow i 2))>
#<alt i>
#<alt i>
#<alt i>
#<alt 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 i>
#<alt i>
#<alt i>
#<alt 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)>

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	i	@	inf	(* i (+ (* (* i i) (neg i)) (* i -1/4)))
1.0ms	i	@	-inf	(* i (+ (* (* i i) (neg i)) (* i -1/4)))
1.0ms	i	@	-inf	(+ (* (* i i) (neg i)) (* i -1/4))
1.0ms	i	@	inf	(+ (* (* i i) (neg i)) (* i -1/4))
1.0ms	i	@	0	(+ 1/16 (/ 1/64 (* i (* i (* i i)))))

Compiler

Compiled 213 to 170 computations (20.2% saved)

rewrite367.0ms (5.1%)

Memory

-15.4MiB live, 586.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 974×	`lower-fma.f32`
6 972×	`lower-fma.f64`
4 628×	`lower-*.f32`
4 616×	`lower-*.f64`
2 882×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	65
0	25	55
1	89	47
2	604	47
3	6485	47
0	8415	46

Stop Event

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

Counts

10 → 421

Calls

Call 1

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

Outputs
(+.f64 (*.f64 i i) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 i i))
(+.f64 (.f64 #s(literal 0 binary64) (neg.f64 i)) (.f64 i i))
(+.f64 (.f64 (neg.f64 i) #s(literal 0 binary64)) (.f64 i i))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 i)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 i)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 i)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 i))) #s(literal 2 binary64)))
(fma.f64 i i #s(literal 0 binary64))
(fma.f64 i (*.f64 #s(literal -1 binary64) (neg.f64 i)) #s(literal 0 binary64))
(fma.f64 (*.f64 i i) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 i) (neg.f64 i) #s(literal 0 binary64))
(fma.f64 (neg.f64 i) #s(literal 0 binary64) (*.f64 i i))
(fma.f64 #s(literal 1 binary64) (*.f64 i i) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (neg.f64 i) (*.f64 i i))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 i i)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 i i)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 i)) (exp.f64 (log.f64 i)) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 i) #s(literal -1 binary64)) i #s(literal 0 binary64))
(neg.f64 (neg.f64 (*.f64 i i)))
(/.f64 (.f64 i (.f64 i i)) i)
(/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i i))
(/.f64 (.f64 (.f64 i i) (neg.f64 (.f64 i i))) (neg.f64 (.f64 i i)))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 #s(literal 0 binary64) (.f64 i i)))))
(/.f64 (fma.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)) #s(literal 0 binary64)) (fma.f64 i (.f64 i (.f64 i i)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 i i) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 0 binary64)) (-.f64 (.f64 i i) #s(literal 0 binary64)))
(pow.f64 i #s(literal 2 binary64))
(pow.f64 (*.f64 i i) #s(literal 1 binary64))
(pow.f64 (neg.f64 i) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 i)) #s(literal 2 binary64))
(*.f64 i i)
(.f64 i (.f64 #s(literal -1 binary64) (neg.f64 i)))
(.f64 (.f64 i i) #s(literal 1 binary64))
(*.f64 (neg.f64 i) (neg.f64 i))
(.f64 #s(literal 1 binary64) (.f64 i i))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 i i)))
(.f64 (neg.f64 (.f64 i i)) #s(literal -1 binary64))
(*.f64 (exp.f64 (log.f64 i)) (exp.f64 (log.f64 i)))
(.f64 (.f64 (neg.f64 i) #s(literal -1 binary64)) i)
(.f64 i (.f64 i #s(literal -1/4 binary64)))
(.f64 (.f64 i i) #s(literal -1/4 binary64))
(.f64 #s(literal -1/4 binary64) (.f64 i i))
(.f64 (.f64 i #s(literal -1/4 binary64)) i)
(*.f64 i #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) i)
(+.f64 (.f64 i #s(literal -1/4 binary64)) (neg.f64 (.f64 i (*.f64 i i))))
(+.f64 (neg.f64 (.f64 i (.f64 i i))) (*.f64 i #s(literal -1/4 binary64)))
(+.f64 (.f64 (.f64 i i) (/.f64 (.f64 i (.f64 i i)) (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (.f64 i (.f64 i #s(literal 1/16 binary64))) (*.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))) #s(literal -1 binary64)))
(-.f64 (.f64 i #s(literal -1/4 binary64)) (.f64 i (*.f64 i i)))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 i (.f64 i i)) (*.f64 i #s(literal -1/4 binary64))))
(-.f64 (.f64 (.f64 i i) (/.f64 (.f64 i (.f64 i i)) (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))) (/.f64 (.f64 i (.f64 i #s(literal 1/16 binary64))) (*.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (.f64 i (.f64 i #s(literal 1/16 binary64))) (.f64 i (-.f64 #s(literal -1/4 binary64) (neg.f64 (.f64 i i))))) (/.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (.f64 i (-.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 i i))))))
(-.f64 (fma.f64 i #s(literal -1/4 binary64) #s(literal 0 binary64)) (.f64 i (.f64 i i)))
(fma.f64 i #s(literal -1/4 binary64) (neg.f64 (.f64 i (.f64 i i))))
(fma.f64 i (neg.f64 (.f64 i i)) (.f64 i #s(literal -1/4 binary64)))
(fma.f64 i (/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i i))) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (.f64 i (.f64 i #s(literal 1/16 binary64))) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))))))
(fma.f64 (.f64 i i) (neg.f64 i) (.f64 i #s(literal -1/4 binary64)))
(fma.f64 (.f64 i i) (/.f64 (.f64 i (.f64 i i)) (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))) (neg.f64 (/.f64 (.f64 i (.f64 i #s(literal 1/16 binary64))) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))))))
(fma.f64 (.f64 i i) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (.f64 i (.f64 i #s(literal 1/16 binary64))) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))))))
(fma.f64 #s(literal -1/4 binary64) i (neg.f64 (.f64 i (.f64 i i))))
(fma.f64 (neg.f64 i) (.f64 i i) (.f64 i #s(literal -1/4 binary64)))
(fma.f64 (neg.f64 i) (/.f64 (.f64 (.f64 i (.f64 i i)) (neg.f64 (.f64 i i))) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (.f64 i (.f64 i #s(literal 1/16 binary64))) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))))))
(fma.f64 (.f64 i (.f64 i i)) #s(literal -1 binary64) (*.f64 i #s(literal -1/4 binary64)))
(fma.f64 (.f64 i (.f64 i i)) (/.f64 (.f64 i (.f64 i i)) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (.f64 i (.f64 i #s(literal 1/16 binary64))) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))))))
(fma.f64 (.f64 i (.f64 i (.f64 i i))) (/.f64 (.f64 i i) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (.f64 i (.f64 i #s(literal 1/16 binary64))) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))))))
(fma.f64 (neg.f64 (.f64 i (.f64 i i))) (/.f64 (neg.f64 (.f64 i i)) (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))) (neg.f64 (/.f64 (.f64 i (.f64 i #s(literal 1/16 binary64))) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))))))
(fma.f64 (neg.f64 (.f64 i (.f64 i i))) (/.f64 (neg.f64 (.f64 i (.f64 i i))) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (.f64 i (.f64 i #s(literal 1/16 binary64))) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))))))
(fma.f64 (.f64 (.f64 i i) (neg.f64 (.f64 i i))) (/.f64 (neg.f64 i) (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))) (neg.f64 (/.f64 (.f64 i (.f64 i #s(literal 1/16 binary64))) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))))))
(fma.f64 (.f64 (.f64 i i) (neg.f64 (.f64 i i))) (/.f64 (neg.f64 (.f64 i i)) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (.f64 i (.f64 i #s(literal 1/16 binary64))) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))))))
(fma.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (/.f64 #s(literal 1 binary64) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (.f64 i (.f64 i #s(literal 1/16 binary64))) (*.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))))))
(fma.f64 #s(literal -1 binary64) (.f64 i (.f64 i i)) (*.f64 i #s(literal -1/4 binary64)))
(fma.f64 (neg.f64 (.f64 i i)) i (.f64 i #s(literal -1/4 binary64)))
(fma.f64 (neg.f64 (.f64 i i)) (/.f64 (neg.f64 (.f64 i (.f64 i i))) (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))) (neg.f64 (/.f64 (.f64 i (.f64 i #s(literal 1/16 binary64))) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))))))
(fma.f64 (pow.f64 i #s(literal 3/2 binary64)) (neg.f64 (pow.f64 i #s(literal 3/2 binary64))) (*.f64 i #s(literal -1/4 binary64)))
(fma.f64 (.f64 (.f64 i (.f64 i i)) (neg.f64 (.f64 i i))) (/.f64 (neg.f64 i) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (.f64 i (.f64 i #s(literal 1/16 binary64))) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))))))
(fma.f64 (pow.f64 (neg.f64 i) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 i) #s(literal 3/2 binary64)) (*.f64 i #s(literal -1/4 binary64)))
(fma.f64 (/.f64 i i) (/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i i))) (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))) (neg.f64 (/.f64 (.f64 i (.f64 i #s(literal 1/16 binary64))) (*.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))))))
(fma.f64 (/.f64 (.f64 i i) i) (/.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))) (neg.f64 (/.f64 (.f64 i (.f64 i #s(literal 1/16 binary64))) (*.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))))))
(fma.f64 (/.f64 (neg.f64 i) i) (/.f64 (.f64 (.f64 i (.f64 i i)) (neg.f64 (.f64 i i))) (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))) (neg.f64 (/.f64 (.f64 i (.f64 i #s(literal 1/16 binary64))) (*.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))))))
(fma.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) i) (/.f64 (.f64 i i) (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))) (neg.f64 (/.f64 (.f64 i (.f64 i #s(literal 1/16 binary64))) (*.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))))))
(fma.f64 (neg.f64 (pow.f64 i #s(literal 3/2 binary64))) (pow.f64 i #s(literal 3/2 binary64)) (*.f64 i #s(literal -1/4 binary64)))
(fma.f64 (.f64 #s(literal -1 binary64) (pow.f64 i #s(literal 3/2 binary64))) (pow.f64 i #s(literal 3/2 binary64)) (.f64 i #s(literal -1/4 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (.f64 (.f64 i i) (-.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)))) (.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i i))) (neg.f64 (/.f64 (.f64 i (.f64 i #s(literal 1/16 binary64))) (*.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))))))
(fma.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (.f64 (.f64 i (.f64 i i)) (-.f64 (neg.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))) #s(literal -1/64 binary64)))) (fma.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i i)) (.f64 i #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (.f64 i (.f64 i #s(literal 1/16 binary64))) (*.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))))))
(neg.f64 (/.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 (.f64 i i) (.f64 (.f64 i i) (neg.f64 (.f64 i i))) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 (neg.f64 (.f64 i (.f64 i i))) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))) (.f64 i (.f64 i #s(literal 1/16 binary64)))))))
(neg.f64 (/.f64 (.f64 (.f64 i i) (-.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64))) (neg.f64 (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))))))
(neg.f64 (/.f64 (neg.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 (.f64 i i) (.f64 (.f64 i i) (neg.f64 (.f64 i i))) #s(literal -1/64 binary64)))) (fma.f64 (neg.f64 (.f64 i (.f64 i i))) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))) (.f64 i (.f64 i #s(literal 1/16 binary64))))))
(neg.f64 (/.f64 (neg.f64 (.f64 (.f64 i i) (-.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)))) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))))
(/.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 (.f64 i i) (.f64 (.f64 i i) (neg.f64 (.f64 i i))) #s(literal -1/64 binary64))) (fma.f64 (neg.f64 (.f64 i (.f64 i i))) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))) (.f64 i (.f64 i #s(literal 1/16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i i)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i i)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 i (-.f64 #s(literal -1/4 binary64) (neg.f64 (.f64 i i)))) (.f64 (.f64 i i) (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (*.f64 i i)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i i))))))
(/.f64 (.f64 (.f64 i i) (-.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64))) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 (.f64 i i) (.f64 (.f64 i i) (neg.f64 (.f64 i i))) #s(literal -1/64 binary64)))) (neg.f64 (fma.f64 (neg.f64 (.f64 i (.f64 i i))) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))) (.f64 i (.f64 i #s(literal 1/16 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 i i) (-.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)))) (neg.f64 (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal -1/262144 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))) (pow.f64 (neg.f64 (.f64 i (.f64 i i))) #s(literal 9 binary64))) (.f64 (fma.f64 (neg.f64 (.f64 i (.f64 i i))) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))) (.f64 i (.f64 i #s(literal 1/16 binary64)))) (fma.f64 (.f64 i (.f64 (.f64 i i) #s(literal -1/64 binary64))) (-.f64 (.f64 i (.f64 (.f64 i i) #s(literal -1/64 binary64))) (.f64 (.f64 i i) (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i i) (neg.f64 (.f64 i i)))))) (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (.f64 (.f64 i (.f64 i i)) (.f64 i (*.f64 i i))))))))
(/.f64 (.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 (.f64 i i) (.f64 (.f64 i i) (neg.f64 (.f64 i i))) #s(literal -1/64 binary64))) (.f64 (.f64 i (.f64 i i)) (-.f64 (neg.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))) #s(literal -1/64 binary64)))) (.f64 (fma.f64 (neg.f64 (.f64 i (.f64 i i))) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))) (.f64 i (.f64 i #s(literal 1/16 binary64)))) (.f64 (.f64 i (.f64 i i)) (-.f64 (neg.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))) #s(literal -1/64 binary64)))))
(/.f64 (.f64 (.f64 (.f64 i (.f64 i i)) (fma.f64 (.f64 i i) (.f64 (.f64 i i) (neg.f64 (.f64 i i))) #s(literal -1/64 binary64))) (.f64 (.f64 i (.f64 i i)) (-.f64 (neg.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i)))) #s(literal -1/64 binary64)))) (.f64 (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))) (fma.f64 (.f64 i (.f64 i #s(literal 1/16 binary64))) (.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64))) (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (.f64 (.f64 i (.f64 i i)) (.f64 i (*.f64 i i)))))))
(/.f64 (.f64 (.f64 i i) (-.f64 #s(literal 1/16 binary64) (.f64 i (.f64 i (.f64 i i))))) (.f64 i (-.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 i i)))))
(/.f64 (.f64 (.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64))) (.f64 (.f64 i i) (-.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)))) (.f64 (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))) (.f64 (.f64 i i) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))) (.f64 (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))) (.f64 i (.f64 i #s(literal 1/16 binary64))))) (.f64 (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64))) (.f64 i (fma.f64 i (neg.f64 i) #s(literal 1/4 binary64)))))
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(neg.f64 (.f64 (/.f64 #s(literal -1/64 binary64) (.f64 i (.f64 i (.f64 i i)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1/64 binary64) (.f64 i (.f64 i (*.f64 i i))))
(/.f64 #s(literal -1/64 binary64) (.f64 (.f64 i i) (neg.f64 (*.f64 i i))))
(/.f64 #s(literal 1 binary64) (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 i i) (/.f64 #s(literal 1/64 binary64) (.f64 i i))))
(/.f64 #s(literal 1 binary64) (/.f64 i (/.f64 #s(literal 1/64 binary64) (.f64 i (.f64 i i)))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 i (.f64 i (*.f64 i i)))) #s(literal 64 binary64))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal -64 binary64)))
(/.f64 (/.f64 #s(literal 1/64 binary64) i) (.f64 i (.f64 i i)))
(/.f64 (/.f64 #s(literal -1/64 binary64) i) (neg.f64 (.f64 i (.f64 i i))))
(/.f64 (/.f64 #s(literal 1 binary64) i) (.f64 (.f64 i (*.f64 i i)) #s(literal 64 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 i (.f64 i i))) (*.f64 i #s(literal 64 binary64)))
(/.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (.f64 i i))
(/.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i (.f64 i i))) i)
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 i i)) (.f64 i (*.f64 i #s(literal 64 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (neg.f64 (.f64 i i)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i (.f64 i i)))) (neg.f64 i))
(/.f64 (/.f64 #s(literal -1/64 binary64) (.f64 i i)) (neg.f64 (.f64 i i)))
(/.f64 (/.f64 #s(literal -1/64 binary64) (.f64 i (.f64 i i))) (neg.f64 i))
(/.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) i) (pow.f64 i #s(literal 3/2 binary64))) (pow.f64 i #s(literal 3/2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 i (*.f64 i i))) #s(literal 1/64 binary64)) i)
(/.f64 (.f64 #s(literal -1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 i (*.f64 i i)))) (neg.f64 i))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/64 binary64) i)) (neg.f64 (.f64 i (*.f64 i i))))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) (*.f64 i i))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i (*.f64 i i)))) i)
(/.f64 (.f64 (/.f64 #s(literal -1/64 binary64) i) #s(literal 1 binary64)) (neg.f64 (.f64 i (*.f64 i i))))
(/.f64 (.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) #s(literal 1 binary64)) (*.f64 i i))
(/.f64 (.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i (*.f64 i i))) #s(literal 1 binary64)) i)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 i i)) #s(literal 1/64 binary64)) (*.f64 i i))
(/.f64 (/.f64 (/.f64 #s(literal -1/64 binary64) i) i) (neg.f64 (*.f64 i i)))
(/.f64 (/.f64 (/.f64 #s(literal -1/64 binary64) i) (*.f64 i i)) (neg.f64 i))
(pow.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 i i) (/.f64 #s(literal 1/64 binary64) (.f64 i i))) #s(literal -1 binary64))
(pow.f64 (/.f64 i (/.f64 #s(literal 1/64 binary64) (.f64 i (.f64 i i)))) #s(literal -1 binary64))
(.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 i (.f64 i (.f64 i i)))))
(.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i (.f64 i (.f64 i i)))) #s(literal 1 binary64))
(.f64 #s(literal -1/64 binary64) (/.f64 #s(literal -1 binary64) (.f64 i (.f64 i (.f64 i i)))))
(.f64 #s(literal -1/64 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 i (.f64 i (*.f64 i i)))) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 i (.f64 i (.f64 i i)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 i (.f64 i (.f64 i i)))) #s(literal 1/64 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/64 binary64) (.f64 i (.f64 i (.f64 i i)))))
(.f64 (/.f64 #s(literal 1/64 binary64) i) (/.f64 #s(literal 1 binary64) (.f64 i (*.f64 i i))))
(.f64 (/.f64 #s(literal 1/64 binary64) i) (.f64 (/.f64 #s(literal 1 binary64) (.f64 i (.f64 i i))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1/64 binary64) i) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 i (*.f64 i i)))))
(.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 #s(literal 1/64 binary64) (.f64 i (*.f64 i i))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 i (.f64 i (.f64 i i)))) #s(literal -1/64 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 i (*.f64 i i))) (/.f64 #s(literal 1/64 binary64) i))
(.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i i)) (/.f64 #s(literal 1 binary64) (*.f64 i i)))
(.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i (*.f64 i i))) (/.f64 #s(literal 1 binary64) i))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 i i)) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
(*.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 3/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) i) (pow.f64 i #s(literal 3/2 binary64))))
(.f64 (pow.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal 64 binary64))) #s(literal -1/2 binary64)) (pow.f64 (.f64 i (.f64 (.f64 i (*.f64 i i)) #s(literal 64 binary64))) #s(literal -1/2 binary64)))
(+.f64 (.f64 (neg.f64 (.f64 i (.f64 i i))) #s(literal 0 binary64)) (.f64 i (.f64 i (.f64 i i))))
(+.f64 (.f64 #s(literal 0 binary64) (neg.f64 (.f64 i (.f64 i i)))) (.f64 i (.f64 i (.f64 i i))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 i)))
(exp.f64 (*.f64 (log.f64 i) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 i)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (neg.f64 (.f64 i i))) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 i i) (neg.f64 (*.f64 i i))))
(fma.f64 (neg.f64 (.f64 i (.f64 i i))) #s(literal 0 binary64) (.f64 i (.f64 i (*.f64 i i))))
(fma.f64 #s(literal 0 binary64) (neg.f64 (.f64 i (.f64 i i))) (.f64 i (.f64 i (*.f64 i i))))
(neg.f64 (.f64 (.f64 i i) (neg.f64 (*.f64 i i))))
(/.f64 (.f64 i (.f64 i (*.f64 i i))) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 i i) (neg.f64 (*.f64 i i))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i i))) (.f64 i i))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 i (.f64 i (*.f64 i i)))))
(/.f64 (.f64 (.f64 i i) (.f64 i (.f64 i i))) i)
(pow.f64 i #s(literal 4 binary64))
(pow.f64 (*.f64 i i) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 i (.f64 i (*.f64 i i)))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (*.f64 i i)) #s(literal 2 binary64))
(.f64 i (.f64 i (*.f64 i i)))
(.f64 i (/.f64 (.f64 i (*.f64 i i)) #s(literal 1 binary64)))
(.f64 (.f64 i i) (*.f64 i i))
(.f64 (.f64 i i) (/.f64 (*.f64 i i) #s(literal 1 binary64)))
(.f64 (neg.f64 i) (neg.f64 (.f64 i (*.f64 i i))))
(.f64 (.f64 i (*.f64 i i)) i)
(.f64 (.f64 i (*.f64 i i)) (neg.f64 (neg.f64 i)))
(.f64 (.f64 i (*.f64 i i)) (/.f64 i #s(literal 1 binary64)))
(.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1 binary64))
(.f64 (neg.f64 (.f64 i (*.f64 i i))) (neg.f64 i))
(.f64 (.f64 (.f64 i i) (neg.f64 (.f64 i i))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 i (.f64 i (.f64 i i))))
(.f64 #s(literal -1 binary64) (.f64 (.f64 i i) (neg.f64 (.f64 i i))))
(.f64 (neg.f64 (.f64 i i)) (neg.f64 (*.f64 i i)))
(.f64 (pow.f64 i #s(literal 3/2 binary64)) (.f64 (pow.f64 i #s(literal 3/2 binary64)) i))
(.f64 (neg.f64 (neg.f64 i)) (.f64 i (*.f64 i i)))
(.f64 (.f64 i (pow.f64 i #s(literal 3/2 binary64))) (pow.f64 i #s(literal 3/2 binary64)))
(.f64 (.f64 (neg.f64 i) #s(literal -1 binary64)) (.f64 i (.f64 i i)))
(.f64 (.f64 (neg.f64 (.f64 i (.f64 i i))) #s(literal -1 binary64)) i)
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 i)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 i)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 i #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 i))) #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (.f64 i (.f64 i i))))
(neg.f64 (neg.f64 (.f64 i (.f64 i 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 (.f64 i i) (neg.f64 (neg.f64 i)))
(.f64 (neg.f64 i) (neg.f64 (.f64 i i)))
(.f64 #s(literal 1 binary64) (.f64 i (*.f64 i i)))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 i (*.f64 i i))))
(.f64 (neg.f64 (.f64 i i)) (neg.f64 i))
(*.f64 (pow.f64 i #s(literal 3/2 binary64)) (pow.f64 i #s(literal 3/2 binary64)))
(.f64 (neg.f64 (neg.f64 i)) (.f64 i i))

simplify218.0ms (3.1%)

Memory

-3.9MiB live, 192.0MiB allocated

Algorithm

1×	egg-herbie

Rules

1 848×	`lower-fma.f64`
1 848×	`lower-fma.f32`
1 168×	`lower-*.f64`
1 168×	`lower-*.f32`
796×	`times-frac`

Iterations

Useful iterations: 15 (0.0ms)

Iter	Nodes	Cost
0	48	527
1	110	527
2	262	521
3	615	509
4	1127	509
5	1566	509
6	1977	509
7	2308	509
8	2497	509
9	2857	509
10	3039	509
11	3164	509
12	3226	509
13	3240	509
14	3254	509
15	3355	497
16	3703	497
17	3879	497
18	4011	497
19	4069	497
20	4073	497
21	4073	497
0	4073	497

Stop Event

1×	iter limit
1×	saturated

Counts

120 → 104

Calls

Call 1

Inputs
i
i
i
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)
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
i
i
i
i
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1/4 i)
(* i (- (* -1 i) 1/4))
(* i (- (* -1 i) 1/4))
(* i (- (* -1 i) 1/4))
(* -1 (pow i 5))
(* -1 (* (pow i 5) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(* -1 (* (pow i 5) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(* -1 (* (pow i 5) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(* -1 (pow i 5))
(* -1 (* (pow i 5) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(* -1 (* (pow i 5) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(* -1 (* (pow i 5) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 i) 1/4))
(* (pow i 2) (- (* -1 i) 1/4))
(* (pow i 2) (- (* -1 i) 1/4))
(* -1 (pow i 7))
(* -1 (* (pow i 7) (+ 1 (* 1/4 (/ 1 (pow i 5))))))
(* -1 (* (pow i 7) (+ 1 (* 1/4 (/ 1 (pow i 5))))))
(* -1 (* (pow i 7) (+ 1 (* 1/4 (/ 1 (pow i 5))))))
(pow i 7)
(* -1 (* (pow i 7) (- (* 1/4 (/ 1 (pow i 5))) 1)))
(* -1 (* (pow i 7) (- (* 1/4 (/ 1 (pow i 5))) 1)))
(* -1 (* (pow i 7) (- (* 1/4 (/ 1 (pow i 5))) 1)))
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(* -1 i)
(/ 1/64 (pow i 4))
(/ (+ 1/64 (* 1/16 (pow i 4))) (pow i 4))
(/ (+ 1/64 (* 1/16 (pow i 4))) (pow i 4))
(/ (+ 1/64 (* 1/16 (pow i 4))) (pow i 4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 3))))
(+ 1/16 (* 1/64 (/ 1 (pow i 3))))
(+ 1/16 (* 1/64 (/ 1 (pow i 3))))
1/16
(- 1/16 (* 1/64 (/ 1 (pow i 3))))
(- 1/16 (* 1/64 (/ 1 (pow i 3))))
(- 1/16 (* 1/64 (/ 1 (pow i 3))))
(/ 1 (pow i 2))
(/ 1 (pow i 2))
(/ 1 (pow i 2))
(/ 1 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
(/ 1/64 (pow i 2))
i
i
i
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)
i
i
i
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)

Outputs
i
i
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 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)))
(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 i)
(*.f64 i #s(literal -1/4 binary64))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
i
i
i
i
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1/4 i)
(*.f64 i #s(literal -1/4 binary64))
(* i (- (* -1 i) 1/4))
(*.f64 i (-.f64 #s(literal -1/4 binary64) i))
(* i (- (* -1 i) 1/4))
(*.f64 i (-.f64 #s(literal -1/4 binary64) i))
(* i (- (* -1 i) 1/4))
(*.f64 i (-.f64 #s(literal -1/4 binary64) i))
(* -1 (pow i 5))
(neg.f64 (pow.f64 i #s(literal 5 binary64)))
(* -1 (* (pow i 5) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(*.f64 (pow.f64 i #s(literal 5 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)))))
(* -1 (* (pow i 5) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(*.f64 (pow.f64 i #s(literal 5 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)))))
(* -1 (* (pow i 5) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(*.f64 (pow.f64 i #s(literal 5 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)))))
(* -1 (pow i 5))
(neg.f64 (pow.f64 i #s(literal 5 binary64)))
(* -1 (* (pow i 5) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(*.f64 (pow.f64 i #s(literal 5 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)))))
(* -1 (* (pow i 5) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(*.f64 (pow.f64 i #s(literal 5 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)))))
(* -1 (* (pow i 5) (+ 1 (* 1/4 (/ 1 (pow i 4))))))
(*.f64 (pow.f64 i #s(literal 5 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)))))
(* -1/4 (pow i 2))
(.f64 i (.f64 i #s(literal -1/4 binary64)))
(* (pow i 2) (- (* -1 i) 1/4))
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) i)))
(* (pow i 2) (- (* -1 i) 1/4))
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) i)))
(* (pow i 2) (- (* -1 i) 1/4))
(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) i)))
(* -1 (pow i 7))
(neg.f64 (pow.f64 i #s(literal 7 binary64)))
(* -1 (* (pow i 7) (+ 1 (* 1/4 (/ 1 (pow i 5))))))
(*.f64 (pow.f64 i #s(literal 7 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 5 binary64)))))
(* -1 (* (pow i 7) (+ 1 (* 1/4 (/ 1 (pow i 5))))))
(*.f64 (pow.f64 i #s(literal 7 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 5 binary64)))))
(* -1 (* (pow i 7) (+ 1 (* 1/4 (/ 1 (pow i 5))))))
(*.f64 (pow.f64 i #s(literal 7 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 5 binary64)))))
(pow i 7)
(pow.f64 i #s(literal 7 binary64))
(* -1 (* (pow i 7) (- (* 1/4 (/ 1 (pow i 5))) 1)))
(*.f64 (pow.f64 i #s(literal 7 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 5 binary64)))))
(* -1 (* (pow i 7) (- (* 1/4 (/ 1 (pow i 5))) 1)))
(*.f64 (pow.f64 i #s(literal 7 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 5 binary64)))))
(* -1 (* (pow i 7) (- (* 1/4 (/ 1 (pow i 5))) 1)))
(*.f64 (pow.f64 i #s(literal 7 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 5 binary64)))))
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(* -1 i)
(neg.f64 i)
(/ 1/64 (pow i 4))
(/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 4 binary64)))
(/ (+ 1/64 (* 1/16 (pow i 4))) (pow i 4))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 4 binary64))))
(/ (+ 1/64 (* 1/16 (pow i 4))) (pow i 4))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 4 binary64))))
(/ (+ 1/64 (* 1/16 (pow i 4))) (pow i 4))
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 i #s(literal 4 binary64))))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* 1/64 (/ 1 (pow i 3))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i (.f64 i i))) #s(literal 1/16 binary64))
(+ 1/16 (* 1/64 (/ 1 (pow i 3))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i (.f64 i i))) #s(literal 1/16 binary64))
(+ 1/16 (* 1/64 (/ 1 (pow i 3))))
(+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 i (.f64 i i))) #s(literal 1/16 binary64))
1/16
#s(literal 1/16 binary64)
(- 1/16 (* 1/64 (/ 1 (pow i 3))))
(+.f64 (/.f64 #s(literal -1/64 binary64) (.f64 i (.f64 i i))) #s(literal 1/16 binary64))
(- 1/16 (* 1/64 (/ 1 (pow i 3))))
(+.f64 (/.f64 #s(literal -1/64 binary64) (.f64 i (.f64 i i))) #s(literal 1/16 binary64))
(- 1/16 (* 1/64 (/ 1 (pow i 3))))
(+.f64 (/.f64 #s(literal -1/64 binary64) (.f64 i (.f64 i i))) #s(literal 1/16 binary64))
(/ 1 (pow i 2))
(/.f64 #s(literal 1 binary64) (*.f64 i i))
(/ 1 (pow i 2))
(/.f64 #s(literal 1 binary64) (*.f64 i i))
(/ 1 (pow i 2))
(/.f64 #s(literal 1 binary64) (*.f64 i i))
(/ 1 (pow i 2))
(/.f64 #s(literal 1 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))
i
i
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)
i
i
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)

eval73.0ms (1%)

Memory: 34.1MiB live, 188.9MiB allocated
Compiler: Compiled 12 967 to 1 437 computations (88.9% saved)

prune61.0ms (0.9%)

Memory

-9.5MiB live, 148.3MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	627	2	629
Fresh	0	0	0
Picked	1	4	5
Done	0	2	2
Total	628	8	636

Accuracy

100.0%

Counts

636 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
▶	53.7%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓	47.2%	(.f64 (.f64 i #s(literal -1/4 binary64)) i)
▶	28.0%	(*.f64 (neg.f64 i) i)
✓	47.3%	(.f64 i (fma.f64 (.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))))
✓	47.3%	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
✓	26.7%	(*.f64 i i)
✓	54.2%	#s(literal 1/16 binary64)

Compiler

Compiled 57 to 38 computations (33.3% saved)

simplify6.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

20×	`lower-+.f32`
18×	`lower-+.f64`
14×	`lower-fma.f64`
14×	`lower-fma.f32`
14×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
0	13	25
1	22	25
2	27	25
3	35	25
4	40	25
5	46	25
6	58	25
7	61	25
0	61	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.3%)

Memory

7.4MiB live, 46.5MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	4.1%	(/.f64 #s(literal 1/64 binary64) (*.f64 i i))
✓	accuracy	3.4%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓	accuracy	2.6%	(*.f64 i i)
✓	accuracy	100.0%	(neg.f64 i)
✓	accuracy	2.6%	(*.f64 (neg.f64 i) i)

Samples

16.0ms

256×

valid

Compiler

Compiled 53 to 18 computations (66% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (38% of total)

ival-div: 2.0ms (25.4% of total)

ival-add: 1.0ms (12.7% of total)

ival-neg: 1.0ms (12.7% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

-30.1MiB live, 9.1MiB allocated

Counts

5 → 60

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	i	@	-inf	(* (neg i) i)
1.0ms	i	@	0	(+ 1/16 (/ 1/64 (* i i)))
0.0ms	i	@	0	(* (neg i) i)
0.0ms	i	@	-inf	(* i i)
0.0ms	i	@	0	(/ 1/64 (* i i))

Compiler

Compiled 90 to 75 computations (16.7% saved)

rewrite245.0ms (3.4%)

Memory

11.0MiB live, 330.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 392×	`lower-/.f32`
3 390×	`lower-/.f64`
2 162×	`lower-*.f32`
2 160×	`lower-*.f64`
2 022×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	13	22
1	47	22
2	309	22
3	3398	19
0	9738	18

Stop Event

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

Counts

5 → 275

Calls

Call 1

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

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

simplify28.0ms (0.4%)

Memory

-2.8MiB live, 37.1MiB allocated

Algorithm

1×	egg-herbie

Rules

264×	`lower-fma.f64`
264×	`lower-fma.f32`
200×	`lower-*.f64`
200×	`lower-*.f32`
124×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	234
1	44	234
2	70	234
3	126	234
4	225	234
5	326	234
6	460	234
7	608	234
8	649	234
9	692	234
10	703	234
0	703	231

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 56

Calls

Call 1

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

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

eval38.0ms (0.5%)

Memory: -0.1MiB live, 71.7MiB allocated
Compiler: Compiled 6 296 to 644 computations (89.8% saved)

prune37.0ms (0.5%)

Memory

7.1MiB live, 90.5MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	331	0	331
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	331	8	339

Accuracy

100.0%

Counts

339 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))
✓	53.7%	(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))
✓	47.2%	(.f64 (.f64 i #s(literal -1/4 binary64)) i)
✓	28.0%	(*.f64 (neg.f64 i) i)
✓	47.3%	(.f64 i (fma.f64 (.f64 i i) (neg.f64 i) (*.f64 i #s(literal -1/4 binary64))))
✓	47.3%	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
✓	26.7%	(*.f64 i i)
✓	54.2%	#s(literal 1/16 binary64)

Compiler

Compiled 149 to 73 computations (51% saved)

regimes8.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
99.4%	1	`i`
99.4%	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)))`

Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes8.0ms (0.1%)

Memory

-24.0MiB live, 14.0MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms

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

4.0ms

Results

Accuracy	Segments	Branch
99.9%	2	`i`
78.2%	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)

regimes4.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

8 → 2

Calls

Call 1

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

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
99.9%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

7 → 2

Calls

Call 1

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

3.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
80.4%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Memory

-30.2MiB live, 8.3MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms

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

2.0ms

Results

Accuracy	Segments	Branch
55.8%	2	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
77.4%	2	`i`

Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes3.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Accuracy

Total -28.0b remaining (-95.6%)

Threshold costs -28b (-95.6%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1/16 binary64)
#s(literal 1/4 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
54.2%	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)))`
54.2%	1	`i`

Compiler

Compiled 28 to 11 computations (60.7% saved)

bsearch16.0ms (0.2%)

Memory

27.3MiB live, 27.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.108882116381436e-6	145.51773678953143

Samples

8.0ms

144×

valid

Compiler

Compiled 227 to 149 computations (34.4% saved)

Precisions

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

ival-mult: 3.0ms (52.2% of total)

ival-div: 2.0ms (34.8% of total)

ival-sub: 1.0ms (17.4% 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

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.108882116381436e-6	145.51773678953143

Compiler

Compiled 209 to 140 computations (33% saved)

bsearch2.0ms (0%)

Memory

-37.0MiB live, 1.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.108882116381436e-6	145.51773678953143

Compiler

Compiled 155 to 104 computations (32.9% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.108882116381436e-6	145.51773678953143

Compiler

Compiled 119 to 86 computations (27.7% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.108882116381436e-6	145.51773678953143

Compiler

Compiled 110 to 77 computations (30% saved)

bsearch7.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	4.108882116381436e-6	145.51773678953143

Samples

4.0ms

64×

valid

Compiler

Compiled 101 to 68 computations (32.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (38.9% of total)

ival-mult: 1.0ms (38.9% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify8.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
14×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	93
1	50	93
2	61	93
3	68	93
4	72	93
5	73	93

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.4s (19.8%)

Memory

26.7MiB live, 604.9MiB allocated

Rules

11 622×	`lower-fma.f64`
11 622×	`lower-fma.f32`
7 318×	`lower-fma.f64`
7 318×	`lower-fma.f32`
5 018×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	527
1	110	527
2	262	521
3	615	509
4	1127	509
5	1566	509
6	1977	509
7	2308	509
8	2497	509
9	2857	509
10	3039	509
11	3164	509
12	3226	509
13	3240	509
14	3254	509
15	3355	497
16	3703	497
17	3879	497
18	4011	497
19	4069	497
20	4073	497
21	4073	497
0	4073	497
0	10	62
0	17	48
1	75	44
2	653	32
0	8740	30
0	13	50
0	21	50
1	83	50
2	527	50
3	5596	50
0	8204	48
0	58	376
1	121	364
2	310	347
3	754	344
4	1532	344
5	4244	344
6	7121	344
0	8031	332
0	86	665
1	201	665
2	528	601
3	1493	588
4	3448	588
5	5820	588
0	8257	585

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
1×	iter limit
1×	saturated

Compiler

Compiled 225 to 120 computations (46.7% saved)

preprocess138.0ms (1.9%)

Memory: -35.3MiB live, 115.5MiB allocated
Remove: (abs i)
Compiler: Compiled 286 to 112 computations (60.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	23	234
1	44	234
2	70	234
3	126	234
4	225	234
5	326	234
6	460	234
7	608	234
8	649	234
9	692	234
10	703	234
0	703	231

Iter	Nodes	Cost
0	23	234
1	44	234
2	70	234
3	126	234
4	225	234
5	326	234
6	460	234
7	608	234
8	649	234
9	692	234
10	703	234
0	703	231

analyze3.0ms (0%)

sample1.2s (17.2%)

preprocess512.0ms (7.2%)

explain202.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify420.0ms (5.9%)

localize50.0ms (0.7%)

series20.0ms (0.3%)

rewrite325.0ms (4.6%)

simplify491.0ms (6.9%)

eval150.0ms (2.1%)

prune118.0ms (1.6%)

simplify57.0ms (0.8%)

localize42.0ms (0.6%)

series10.0ms (0.1%)

rewrite247.0ms (3.5%)

simplify234.0ms (3.3%)

eval64.0ms (0.9%)

prune55.0ms (0.8%)

simplify90.0ms (1.3%)

localize77.0ms (1.1%)

series10.0ms (0.1%)

rewrite367.0ms (5.1%)

simplify218.0ms (3.1%)

eval73.0ms (1%)

prune61.0ms (0.9%)

simplify6.0ms (0.1%)

localize24.0ms (0.3%)

series5.0ms (0.1%)

rewrite245.0ms (3.4%)

simplify28.0ms (0.4%)

eval38.0ms (0.5%)

prune37.0ms (0.5%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

bsearch16.0ms (0.2%)

bsearch1.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch7.0ms (0.1%)

simplify8.0ms (0.1%)

soundness1.4s (19.8%)

preprocess138.0ms (1.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	23	234
1	44	234
2	70	234
3	126	234
4	225	234
5	326	234
6	460	234
7	608	234
8	649	234
9	692	234
10	703	234
0	703	231