Metrics for Octave 3.8, jcobi/4, as called

analyze3.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 29 to 13 computations (55.2% saved)

sample1.9s (27.7%)

Memory

20.7MiB live, 1 271.3MiB allocated

Samples

1.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-mult: 455.0ms (41.6% of total)

ival-sub: 327.0ms (29.9% of total)

ival-div: 273.0ms (25% of total)

ival->: 21.0ms (1.9% of total)

exact: 13.0ms (1.2% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess534.0ms (7.9%)

Memory

-8.3MiB live, 470.4MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Call 2

Inputs

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

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

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

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

Symmetry

(abs i)

explain162.0ms (2.4%)

Memory

-5.3MiB live, 291.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
200	1	(7.407076877236352e-162)	1	(3.235589367215288e-81)	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`
65	0	-	0	-	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`
0	0	-	0	-	`(*.f64 i i)`
0	0	-	0	-	`(.f64 (.f64 i i) (*.f64 i i))`
0	0	-	0	-	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`
0	0	-	0	-	`i`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) i)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	65	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	97
↳	`(*.f64 i i)`	underflow	130
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	65
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/o	65	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	103
↳	`(*.f64 i i)`	overflow	130
↳	`(*.f64 #s(literal 2 binary64) i)`	overflow	2
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	65
`/.f64`	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))`	o/o	65	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	103
↳	`(*.f64 #s(literal 2 binary64) i)`	overflow	2
↳	`(*.f64 i i)`	overflow	130
↳	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	overflow	65
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	65
↳	`(*.f64 #s(literal 2 binary64) i)`	overflow	2
↳	`(-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))`	overflow	65
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	overflow	65
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	o/n	38	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	overflow	103
↳	`(*.f64 i i)`	overflow	130
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/n	32	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	97
↳	`(*.f64 i i)`	underflow	130

Confusion

	Predicted +	Predicted -
+	199	1
-	1	55

Precision

0.995

Recall

0.995

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	199	0	1
-	1	0	55

Precision?

0.995

Recall?

0.995

Freqs

test

number	freq
0	56
1	135
2	65

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

41.0ms

512×

valid

Compiler

Compiled 200 to 44 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 13.0ms (57.4% of total)

ival-div: 6.0ms (26.5% of total)

ival-sub: 2.0ms (8.8% of total)

exact: 1.0ms (4.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.3%	(/.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

▶

23.3%

(/.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)

simplify254.0ms (3.8%)

Memory

0.3MiB live, 634.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize79.0ms (1.2%)

Memory

-5.6MiB live, 73.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) i)
✓	accuracy	99.8%	(.f64 (.f64 i i) (*.f64 i i))
✓	accuracy	75.4%	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))
✓	accuracy	29.1%	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))

Samples

48.0ms

256×

valid

Compiler

Compiled 74 to 12 computations (83.8% saved)

Precisions

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

ival-div: 34.0ms (81.9% of total)

ival-mult: 6.0ms (14.4% of total)

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

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

6 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite257.0ms (3.8%)

Memory

-11.6MiB live, 624.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	68	44
2	647	32
0	8818	30

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 700

Calls

Call 1

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

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

simplify365.0ms (5.4%)

Memory

4.8MiB live, 759.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval93.0ms (1.4%)

Memory: 35.8MiB live, 181.2MiB allocated
Compiler: Compiled 24 103 to 1 985 computations (91.8% saved)

prune121.0ms (1.8%)

Memory

-37.8MiB live, 217.8MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	888	4	892
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	889	4	893

Accuracy

100.0%

Counts

893 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
▶	49.7%	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
▶	49.4%	(.f64 i (.f64 i #s(literal -1/4 binary64)))
▶	51.7%	#s(literal 1/16 binary64)

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify60.0ms (0.9%)

Memory

35.9MiB live, 73.0MiB 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 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64))
✓	cost-diff	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
✓	cost-diff	(*.f64 i i)
✓	cost-diff	(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
✓	cost-diff	(.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i i)))
✓	cost-diff	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
✓	cost-diff	(*.f64 i #s(literal -1/4 binary64))
✓	cost-diff	(.f64 i (.f64 i #s(literal -1/4 binary64)))

Rules

664×	`accelerator-lowering-fma.f32`
664×	`accelerator-lowering-fma.f64`
440×	`-lowering-.f32`
440×	`-lowering-.f64`
152×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	65
1	31	65
2	49	65
3	82	65
4	129	65
5	176	65
6	252	65
7	398	65
8	517	65
9	598	65
10	690	65
11	718	65
12	749	65
13	855	65
14	1026	65
15	1102	65
16	1139	65
17	1169	65
18	1176	65
19	1177	65
0	1177	65

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize46.0ms (0.7%)

Memory

7.4MiB live, 81.5MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
✓	accuracy	98.9%	(/.f64 #s(literal -4 binary64) (*.f64 i i))
✓	accuracy	100.0%	(-.f64 #s(literal -1/4 binary64) (*.f64 i i))
✓	accuracy	100.0%	(*.f64 i i)
✓	accuracy	100.0%	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
✓	accuracy	99.9%	(.f64 i (-.f64 #s(literal -1/4 binary64) (.f64 i i)))
✓	accuracy	100.0%	(.f64 i (.f64 i #s(literal -1/4 binary64)))
✓	accuracy	100.0%	(*.f64 i #s(literal -1/4 binary64))

Samples

28.0ms

256×

valid

Compiler

Compiled 67 to 17 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 8.0ms (47.1% of total)

ival-div: 6.0ms (35.3% of total)

ival-sub: 1.0ms (5.9% of total)

ival-add: 1.0ms (5.9% of total)

exact: 1.0ms (5.9% of total)

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

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

series10.0ms (0.1%)

Memory

-31.8MiB live, 9.7MiB allocated

Counts

9 → 108

Calls

Call 1

Inputs
#<alt (* i (* i -1/4))>
#<alt (* i -1/4)>
#<alt (* i (* i (- -1/4 (* i i))))>
#<alt (* i (- -1/4 (* i i)))>
#<alt (- -1/4 (* i i))>
#<alt (* i i)>
#<alt (/ 1 (+ (/ -4 (* i i)) 16))>
#<alt (+ (/ -4 (* i i)) 16)>
#<alt (/ -4 (* 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 (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 (pow i 2))>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 i)>
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 4))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1/4 i)>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* i (- (* -1 (pow i 2)) 1/4))>
#<alt (* -1 (pow i 3))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 3))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt -1/4>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (- (* -1 (pow i 2)) 1/4)>
#<alt (* -1 (pow i 2))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (pow i 2))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (pow i 2)>
#<alt (* -1/4 (pow i 2))>
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))>
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt 1/16>
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))>
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))>
#<alt (/ -4 (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))>
#<alt 16>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt 16>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (- 16 (* 4 (/ 1 (pow i 2))))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>
#<alt (/ -4 (pow i 2))>

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	i	@	0	(* i (* i (- -1/4 (* i i))))
2.0ms	i	@	inf	(* i (* i (- -1/4 (* i i))))
1.0ms	i	@	0	(* i (* i -1/4))
0.0ms	i	@	inf	(* i (* i -1/4))
0.0ms	i	@	0	(* i (- -1/4 (* i i)))

rewrite297.0ms (4.4%)

Memory

19.2MiB live, 411.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 696×	`accelerator-lowering-fma.f32`
3 696×	`accelerator-lowering-fma.f64`
3 472×	`-lowering-.f32`
3 472×	`-lowering-.f64`
2 300×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	53
1	76	53
2	500	53
3	5223	53
0	8139	51

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 425

Calls

Call 1

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

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

simplify576.0ms (8.5%)

Memory

-97.9MiB live, 552.8MiB allocated

Algorithm

1×	egg-herbie

Rules

13 784×	`accelerator-lowering-fma.f32`
13 784×	`accelerator-lowering-fma.f64`
3 684×	`-lowering-.f32`
3 684×	`-lowering-.f64`
1 642×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	682
1	158	682
2	465	618
3	1491	614
4	5147	614
5	7605	614
0	8514	611

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 (pow i 2))
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 i)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 4))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1/4 i)
(* i (- (* -1 (pow i 2)) 1/4))
(* i (- (* -1 (pow i 2)) 1/4))
(* i (- (* -1 (pow i 2)) 1/4))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 3))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
-1/4
(- (* -1 (pow i 2)) 1/4)
(- (* -1 (pow i 2)) 1/4)
(- (* -1 (pow i 2)) 1/4)
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (pow i 2))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(pow i 2)
(* -1/4 (pow i 2))
(* (pow i 2) (- (* -1 (pow i 2)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
1/16
(+ 1/16 (* 1/64 (/ 1 (pow i 2))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))
(/ -4 (pow i 2))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
(/ (- (* 16 (pow i 2)) 4) (pow i 2))
16
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
16
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
(- 16 (* 4 (/ 1 (pow i 2))))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))
(/ -4 (pow i 2))

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

eval69.0ms (1%)

Memory: 41.5MiB live, 150.2MiB allocated
Compiler: Compiled 11 576 to 1 364 computations (88.2% saved)

prune101.0ms (1.5%)

Memory

-18.2MiB live, 143.9MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	572	1	573
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	572	5	577

Accuracy

100.0%

Counts

577 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.7%	(fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 i (.f64 i #s(literal -1/4 binary64))))
✓	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
✓	49.7%	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
✓	49.4%	(.f64 i (.f64 i #s(literal -1/4 binary64)))
✓	51.7%	#s(literal 1/16 binary64)

Compiler

Compiled 42 to 28 computations (33.3% saved)

simplify26.0ms (0.4%)

Memory

-8.2MiB live, 33.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 i)
✓	cost-diff	0	(*.f64 i i)
✓	cost-diff	0	(.f64 i (.f64 i i))
✓	cost-diff	640	(fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 i (.f64 i #s(literal -1/4 binary64))))

Rules

464×	`accelerator-lowering-fma.f32`
464×	`accelerator-lowering-fma.f64`
288×	`-lowering-.f32`
288×	`-lowering-.f64`
96×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	25	27
2	57	27
3	107	27
4	159	27
5	215	27
6	351	27
7	469	27
8	566	27
9	567	27
0	567	27

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize29.0ms (0.4%)

Memory

23.1MiB live, 61.3MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

19.0ms

256×

valid

Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 9.0ms (74.1% of total)

ival-add: 2.0ms (16.5% of total)

ival-neg: 1.0ms (8.2% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

-30.0MiB live, 3.9MiB allocated

Counts

5 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite479.0ms (7.1%)

Memory

13.6MiB live, 429.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 354×	`accelerator-lowering-fma.f32`
4 354×	`accelerator-lowering-fma.f64`
3 264×	`-lowering-.f32`
3 264×	`-lowering-.f64`
2 212×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	39	20
2	280	20
3	3041	19
0	9790	18

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 287

Calls

Call 1

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

Outputs
(+.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(+.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (.f64 i (.f64 i (*.f64 i i))))
(+.f64 (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (neg.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))))
(+.f64 (-.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) #s(literal 0 binary64)) (.f64 i (.f64 i (*.f64 i i))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (.f64 i (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))) #s(literal -1 binary64)))
(-.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(-.f64 (.f64 (.f64 i i) #s(literal -1/4 binary64)) (.f64 i (.f64 i (*.f64 i i))))
(-.f64 #s(literal 0 binary64) (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))
(-.f64 (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))))))
(-.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))
(-.f64 (/.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))))) (fma.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)))) (/.f64 (.f64 (.f64 i i) (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal -1/64 binary64)))) (fma.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (.f64 (.f64 i (.f64 i (*.f64 i i))) #s(literal 1/16 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 i i) (.f64 i (.f64 (.f64 i (.f64 i i)) #s(literal -1/64 binary64)))) (fma.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)))) (/.f64 (.f64 i (.f64 (.f64 i (.f64 i i)) (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))))) (fma.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (.f64 (.f64 i (.f64 i (*.f64 i i))) #s(literal 1/16 binary64)))))
(-.f64 (fma.f64 i (.f64 i #s(literal -1/4 binary64)) #s(literal 0 binary64)) (.f64 i (.f64 i (.f64 i i))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)))) (.f64 i (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 24 binary64)) (.f64 (.f64 i (.f64 i i)) (fma.f64 (.f64 i (.f64 i i)) #s(literal -1/64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))))))) (fma.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)))) (/.f64 (/.f64 (.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))) (.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))) #s(literal 1/4096 binary64))) (.f64 (.f64 i (.f64 i i)) (fma.f64 (.f64 i (.f64 i i)) #s(literal -1/64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))))))) (fma.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)))))
(-.f64 (/.f64 (pow.f64 i #s(literal 24 binary64)) (.f64 (fma.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64))) (.f64 (.f64 i (.f64 i i)) (fma.f64 (.f64 i (.f64 i i)) #s(literal -1/64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))))))) (/.f64 (.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))) (.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))) #s(literal 1/4096 binary64))) (.f64 (fma.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64))) (.f64 (.f64 i (.f64 i i)) (fma.f64 (.f64 i (.f64 i i)) #s(literal -1/64 binary64) (.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))))))))
(-.f64 (/.f64 (pow.f64 i #s(literal 24 binary64)) (.f64 (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (fma.f64 (.f64 i i) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64))))))) (/.f64 (.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))) (.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))) #s(literal 1/4096 binary64))) (.f64 (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (fma.f64 (.f64 i i) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64))))))))
(-.f64 (/.f64 (.f64 (.f64 i i) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))))) (.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64))) (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))) (/.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) #s(literal 1/256 binary64)) (.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64))) (.f64 i (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) (.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)))) (/.f64 (.f64 (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64))) (.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i (.f64 i (*.f64 i i)) #s(literal 1/16 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) #s(literal 3 binary64)) (fma.f64 (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (fma.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) (.f64 (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))))))) (/.f64 (.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) (.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))))) (fma.f64 (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (fma.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) (.f64 (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))))))))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) (fma.f64 (.f64 i (.f64 i i)) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))))) (/.f64 (.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))) (fma.f64 (.f64 i (.f64 i i)) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 i #s(literal 24 binary64)) (fma.f64 (.f64 i i) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)))))) (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) (/.f64 (/.f64 (.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))) (.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))) #s(literal 1/4096 binary64))) (fma.f64 (.f64 i i) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (.f64 (.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 1/16 binary64)) (.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)))))) (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 i i) (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))))) (.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)))) (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) #s(literal 1/256 binary64)) (.f64 (.f64 i (.f64 i (.f64 i i))) (fma.f64 i (.f64 i (.f64 i i)) #s(literal 1/16 binary64)))) (.f64 i (*.f64 i (fma.f64 i i #s(literal -1/4 binary64))))))
(fma.f64 i (.f64 i (.f64 i i)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 i (.f64 i #s(literal -1/4 binary64)) (.f64 i (.f64 i (.f64 i i))))
(fma.f64 i (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (neg.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))))
(fma.f64 i (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) (neg.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))))
(fma.f64 i (exp.f64 (log.f64 (.f64 i #s(literal -1/4 binary64)))) (.f64 i (.f64 i (.f64 i i))))
(fma.f64 (.f64 i i) (.f64 i i) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (.f64 i i) #s(literal -1/4 binary64) (.f64 i (.f64 i (.f64 i i))))
(fma.f64 (.f64 i i) (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i i)))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (neg.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))))
(fma.f64 (.f64 i i) #s(literal 1/4 binary64) (.f64 i (.f64 i (.f64 i i))))
(fma.f64 (.f64 i i) (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))) (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) (neg.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))))
(fma.f64 (.f64 i i) (exp.f64 (log.f64 #s(literal -1/4 binary64))) (.f64 i (.f64 i (.f64 i i))))
(fma.f64 (.f64 i (.f64 i i)) i (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (.f64 i (.f64 i i)) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (neg.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))))
(fma.f64 (.f64 i (.f64 i i)) (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i i)))) (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) (neg.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))))
(fma.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal -1 binary64) (.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (.f64 i (.f64 i (.f64 i i))) (/.f64 (.f64 i (.f64 i i)) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (neg.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))))
(fma.f64 (.f64 i (.f64 i (.f64 i i))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) (neg.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))))
(fma.f64 #s(literal -1/4 binary64) (.f64 i i) (.f64 i (.f64 i (.f64 i i))))
(fma.f64 (.f64 i #s(literal -1/4 binary64)) i (.f64 i (.f64 i (.f64 i i))))
(fma.f64 (.f64 (.f64 i i) (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (/.f64 #s(literal -1 binary64) (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) (neg.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))))
(fma.f64 #s(literal -1 binary64) (.f64 i (.f64 i (.f64 i i))) (.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 i i) #s(literal -1/4 binary64)) (.f64 i (.f64 i (*.f64 i i))))
(fma.f64 #s(literal 1 binary64) (.f64 i (.f64 i (.f64 i i))) (.f64 (*.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (neg.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))))
(fma.f64 (pow.f64 i #s(literal 3/2 binary64)) (pow.f64 i #s(literal 5/2 binary64)) (.f64 (.f64 i i) #s(literal -1/4 binary64)))
(fma.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i))))) (/.f64 (.f64 i i) (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) (neg.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))))
(fma.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) (/.f64 i (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) (neg.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))))
(fma.f64 (.f64 i (.f64 i (.f64 i (.f64 i i)))) (/.f64 (.f64 i i) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (neg.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))))
(fma.f64 (.f64 i (.f64 i (.f64 i (.f64 i i)))) (/.f64 (.f64 i (.f64 i i)) (.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64))))) (neg.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))))
(fma.f64 (/.f64 (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i (.f64 i i)))))) i) (/.f64 i (.f64 i (fma.f64 i i #s(literal -1/4 binary64)))) (neg.f64 (.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal 1/16 binary64) (*.f64 i (fma.f64 i i #s(literal -1/4 binary64)))))))
(fma.f64 #s(literal 1/4 binary64) (.f64 i i) (.f64 i (.f64 i (.f64 i i))))
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(/.f64 (-.f64 (.f64 i (.f64 i (.f64 i i))) #s(literal 0 binary64)) (-.f64 (.f64 i i) #s(literal 0 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 i (.f64 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))))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (.f64 i (.f64 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 (fma.f64 i (.f64 i (.f64 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 (.f64 i (.f64 i (.f64 i i))) #s(literal 0 binary64))) (neg.f64 (-.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 (exp.f64 #s(literal 2 binary64)) (log.f64 i))
(*.f64 i i)
(.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))
(-.f64 #s(literal 0 binary64) i)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 i i)) i)
(-.f64 (/.f64 #s(literal 0 binary64) i) i)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 i i) #s(literal 0 binary64)))) i)
(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 (.f64 i (.f64 i i)) (/.f64 #s(literal -1 binary64) (*.f64 i i)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) 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 (.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)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) i)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 i (*.f64 i i))))
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i i)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) i))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 i i)) (.f64 i (.f64 i (.f64 i (.f64 i i))))) (.f64 i (.f64 i (*.f64 i i))))
(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 (sqrt.f64 i) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) i) #s(literal -1 binary64))
(*.f64 i #s(literal -1 binary64))
(.f64 (.f64 i i) (/.f64 #s(literal -1 binary64) i))
(.f64 (.f64 i (.f64 i i)) (/.f64 #s(literal -1 binary64) (.f64 i i)))
(*.f64 #s(literal -1 binary64) i)
(*.f64 (sqrt.f64 i) (sqrt.f64 i))
(-.f64 #s(literal 0 binary64) (*.f64 i #s(literal -1/4 binary64)))
(neg.f64 (*.f64 i #s(literal -1/4 binary64)))
(*.f64 i #s(literal -1/4 binary64))
(*.f64 i #s(literal 1/4 binary64))
(*.f64 #s(literal -1/4 binary64) i)
(.f64 #s(literal -1 binary64) (.f64 i #s(literal -1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) i)

simplify203.0ms (3%)

Memory

-15.2MiB live, 182.0MiB allocated

Algorithm

1×	egg-herbie

Rules

3 616×	`accelerator-lowering-fma.f32`
3 616×	`accelerator-lowering-fma.f64`
2 926×	`-lowering-.f32`
2 926×	`-lowering-.f64`
1 300×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	235
1	53	235
2	123	226
3	301	226
4	696	226
5	1522	226
6	4226	226
7	5184	226
8	6647	226
0	8104	226

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

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

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

eval86.0ms (1.3%)

Memory: -2.5MiB live, 71.1MiB allocated
Compiler: Compiled 12 540 to 809 computations (93.5% saved)

prune56.0ms (0.8%)

Memory

16.2MiB live, 57.9MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	347	0	347
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	347	5	352

Accuracy

100.0%

Counts

352 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.7%	(fma.f64 (.f64 i (.f64 i i)) (neg.f64 i) (.f64 i (.f64 i #s(literal -1/4 binary64))))
✓	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 i i)) #s(literal 16 binary64)))
✓	49.7%	(.f64 i (.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))
✓	49.4%	(.f64 i (.f64 i #s(literal -1/4 binary64)))
✓	51.7%	#s(literal 1/16 binary64)

Compiler

Compiled 105 to 53 computations (49.5% saved)

regimes5.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms

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

Results

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

Compiler

Compiled 28 to 11 computations (60.7% saved)

regimes4.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
99.7%	2	`i`
75.1%	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)

regimes20.0ms (0.3%)

Memory

-33.3MiB live, 5.3MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`i`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1/16 binary64)

Outputs
#s(literal 1/16 binary64)

Calls

2 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
51.7%	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)))`
51.7%	1	`i`

Compiler

Compiled 28 to 11 computations (60.7% saved)

bsearch34.0ms (0.5%)

Memory

-10.0MiB live, 28.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	0.14711804843776777	264730199.7256262

Samples

28.0ms

144×

valid

Compiler

Compiled 191 to 122 computations (36.1% saved)

Precisions

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

ival-mult: 22.0ms (88.2% of total)

ival-div: 2.0ms (8% of total)

ival-sub: 1.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Memory

30.0MiB live, 30.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.14711804843776777	264730199.7256262

Samples

9.0ms

144×

valid

Compiler

Compiled 155 to 104 computations (32.9% saved)

Precisions

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

ival-mult: 3.0ms (50.8% of total)

ival-div: 2.0ms (33.9% of total)

ival-sub: 1.0ms (16.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch38.0ms (0.6%)

Memory

-9.4MiB live, 29.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
36.0ms	0.14711804843776777	264730199.7256262

Samples

31.0ms

144×

valid

Compiler

Compiled 119 to 86 computations (27.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 25.0ms (89.2% of total)

ival-div: 2.0ms (7.1% of total)

ival-sub: 1.0ms (3.6% 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

14.5MiB live, 14.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
8×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	52
1	39	52
2	45	52
3	48	52
4	49	52

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness787.0ms (11.7%)

Memory

-32.3MiB live, 371.5MiB allocated

Rules

15 408×	`accelerator-lowering-fma.f32`
15 408×	`accelerator-lowering-fma.f64`
5 046×	`-lowering-.f32`
5 046×	`-lowering-.f64`
4 332×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	401
1	96	401
2	220	400
3	504	396
4	1045	396
5	2097	396
6	4072	396
7	6268	396
0	8056	384
0	14	53
1	76	53
2	500	53
3	5223	53
0	8139	51
0	10	50
1	68	44
2	647	32
0	8818	30

Stop Event

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

Compiler

Compiled 102 to 56 computations (45.1% saved)

preprocess48.0ms (0.7%)

Memory: 26.1MiB live, 64.4MiB allocated
Remove: (abs i)
Compiler: Compiled 196 to 90 computations (54.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	30
1	25	27
2	57	27
3	107	27
4	159	27
5	215	27
6	351	27
7	469	27
8	566	27
9	567	27
0	567	27

Iter	Nodes	Cost
0	9	30
1	25	27
2	57	27
3	107	27
4	159	27
5	215	27
6	351	27
7	469	27
8	566	27
9	567	27
0	567	27

analyze3.0ms (0%)

sample1.9s (27.7%)

preprocess534.0ms (7.9%)

explain162.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify254.0ms (3.8%)

localize79.0ms (1.2%)

series5.0ms (0.1%)

rewrite257.0ms (3.8%)

simplify365.0ms (5.4%)

eval93.0ms (1.4%)

prune121.0ms (1.8%)

simplify60.0ms (0.9%)

localize46.0ms (0.7%)

series10.0ms (0.1%)

rewrite297.0ms (4.4%)

simplify576.0ms (8.5%)

eval69.0ms (1%)

prune101.0ms (1.5%)

simplify26.0ms (0.4%)

localize29.0ms (0.4%)

series6.0ms (0.1%)

rewrite479.0ms (7.1%)

simplify203.0ms (3%)

eval86.0ms (1.3%)

prune56.0ms (0.8%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes20.0ms (0.3%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch34.0ms (0.5%)

bsearch15.0ms (0.2%)

bsearch38.0ms (0.6%)

simplify8.0ms (0.1%)

soundness787.0ms (11.7%)

preprocess48.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	30
1	25	27
2	57	27
3	107	27
4	159	27
5	215	27
6	351	27
7	469	27
8	566	27
9	567	27
0	567	27