Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, E

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 7 to 7 computations (0% saved)

sample709.0ms (34.3%)

Memory

29.6MiB live, 542.1MiB allocated

Samples

453.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-div: 152.0ms (73.7% of total)

ival-sub: 41.0ms (19.9% of total)

ival-true: 6.0ms (2.9% of total)

exact: 5.0ms (2.4% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain92.0ms (4.4%)

Memory

-25.1MiB live, 61.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 x (/.f64 y #s(literal 4 binary64)))`
-	-	`y`
-	-	`(/.f64 y #s(literal 4 binary64))`
-	-	`#s(literal 4 binary64)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

19.0ms

512×

valid

Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions

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

ival-div: 4.0ms (57.1% of total)

ival-sub: 2.0ms (28.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess22.0ms (1.1%)

Memory

31.7MiB live, 31.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	30	27
2	74	25
3	152	25
4	250	25
5	293	25
6	299	25
0	5	5
0	7	5
1	9	5
2	19	5
3	27	5
4	39	5
5	58	5
6	94	5
7	126	5
8	182	5
9	213	5
10	246	5
11	247	5
0	247	4

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))

Outputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
(fma.f64 #s(literal -1/4 binary64) y x)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (/.f64 y #s(literal 4 binary64)))

Compiler

Compiled 5 to 5 computations (0% saved)

simplify21.0ms (1%)

Memory

-25.8MiB live, 10.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	128	(-.f64 x (/.f64 y #s(literal 4 binary64)))
cost-diff	384	(/.f64 y #s(literal 4 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	9	11
2	19	11
3	27	11
4	39	11
5	58	11
6	94	11
7	126	11
8	182	11
9	213	11
10	246	11
11	247	11
0	247	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
x
(/.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)

Outputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
(fma.f64 #s(literal -1/4 binary64) y x)
x
(/.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 1/4 binary64) y)
y
#s(literal 4 binary64)

localize14.0ms (0.7%)

Memory

30.9MiB live, 30.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 y #s(literal 4 binary64))
accuracy	0	(-.f64 x (/.f64 y #s(literal 4 binary64)))

Samples

9.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

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

ival-div: 2.0ms (56.4% of total)

ival-sub: 1.0ms (28.2% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (1.3%)

Memory

-32.3MiB live, 5.8MiB allocated

Counts

2 → 9

Calls

Call 1

Inputs
(/.f64 y #s(literal 4 binary64))
(-.f64 x (/.f64 y #s(literal 4 binary64)))

Outputs
(* -1/4 y)
(- x (* 1/4 y))
x
(* x (+ 1 (* -1/4 (/ y x))))
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(* 1/4 y)
(+ x (* -1/4 y))
(* y (- (/ x y) 1/4))
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	y	@	0	((/ y 4) (- x (/ y 4)))
1.0ms	y	@	inf	((/ y 4) (- x (/ y 4)))
1.0ms	y	@	-inf	((/ y 4) (- x (/ y 4)))
0.0ms	x	@	inf	((/ y 4) (- x (/ y 4)))
0.0ms	x	@	0	((/ y 4) (- x (/ y 4)))

simplify180.0ms (8.7%)

Memory

-3.5MiB live, 135.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	37
1	68	37
2	170	37
3	455	37
4	1250	37
5	2465	37
6	3267	37
7	3603	37
8	3899	37
9	4080	37
10	5224	37
11	6020	37
12	6788	37
13	7056	37
14	7836	37
0	8372	31

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 8

Calls

Call 1

Inputs
(* -1/4 y)
(- x (* 1/4 y))
x
(* x (+ 1 (* -1/4 (/ y x))))
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(* 1/4 y)
(+ x (* -1/4 y))
(* y (- (/ x y) 1/4))
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))

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

rewrite157.0ms (7.6%)

Memory

7.6MiB live, 252.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	32	8
2	248	8
3	4066	8
0	8150	7

Stop Event

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

Counts

2 → 130

Calls

Call 1

Inputs
(/.f64 y #s(literal 4 binary64))
(-.f64 x (/.f64 y #s(literal 4 binary64)))

Outputs
(*.f64 (exp.f64 (log.f64 #s(literal 1/4 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/4 binary64))))
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/4 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal -1/4 binary64) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/4 binary64) (neg.f64 y))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/4 binary64) y))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal 1/4 binary64) y)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) y))
(*.f64 (neg.f64 y) #s(literal -1/4 binary64))
(.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 4 binary64) y)))
(pow.f64 (pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 #s(literal -4 binary64) y))))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 4 binary64))))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -4 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) y))
(/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y))
(/.f64 (neg.f64 y) #s(literal -4 binary64))
(/.f64 y #s(literal 4 binary64))
(neg.f64 (.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/4 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) y))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/4 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) y)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 y y) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 1/256 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 1/4 binary64) y)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/4096 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 1/4 binary64) y)) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 y (fma.f64 #s(literal 1/4 binary64) y x)) #s(literal 2 binary64))))) (fma.f64 x x (.f64 (*.f64 #s(literal -1/4 binary64) y) (fma.f64 #s(literal 1/4 binary64) y x))))
(.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 y (fma.f64 #s(literal 1/4 binary64) y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y)) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -1/16 binary64) (.f64 x x)) (fma.f64 (.f64 y y) #s(literal -1/16 binary64) (*.f64 x x))) (fma.f64 #s(literal -1/4 binary64) y x))
(.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -1/16 binary64) (.f64 x x)) (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (.f64 (.f64 #s(literal 1/4 binary64) y) (-.f64 (.f64 #s(literal 1/4 binary64) y) x))))
(.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 y y) #s(literal -1/16 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal -1 binary64)) (fma.f64 (.f64 y y) #s(literal -1/16 binary64) (*.f64 x x)))
(.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/16 binary64) (*.f64 x x))) (pow.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) y x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (/.f64 (fma.f64 #s(literal -1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)))
(.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 (fma.f64 #s(literal -1/4 binary64) y x) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/16 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) y x))
(.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x)) (/.f64 (fma.f64 #s(literal -1/4 binary64) y x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (*.f64 x x))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x)) (.f64 (fma.f64 #s(literal -1/4 binary64) y x) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (neg.f64 (.f64 x x)) (.f64 (*.f64 y y) #s(literal -1/16 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) y x)))
(/.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (*.f64 x x))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal -1 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 y y) (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal -1 binary64))) (+.f64 (fma.f64 #s(literal 1/256 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 1/4 binary64) y)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 9 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/4096 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 1/4 binary64) y)) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/4 binary64) y x))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) y x))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (fma.f64 #s(literal 1/4 binary64) y x)) (.f64 (*.f64 y y) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x))) (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (*.f64 #s(literal -1/4 binary64) y) x))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64))) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) y x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/4 binary64) y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) y x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/4 binary64) y x))) (.f64 (.f64 y y) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x))) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x))) (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/16 binary64) (.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) y x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x)))))
(/.f64 (.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (*.f64 x x)))
(/.f64 (.f64 (fma.f64 (.f64 y y) #s(literal -1/16 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) y x))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 y y) (*.f64 x x)) (fma.f64 #s(literal 1/4 binary64) y x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 #s(literal 1/256 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x (*.f64 #s(literal 1/4 binary64) y)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/4 binary64) y x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (*.f64 x x))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/4096 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 1/4 binary64) y)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/4 binary64) y x)) (.f64 (fma.f64 #s(literal 1/4 binary64) y x) (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x))) (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x)) (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal 1/4 binary64) y x) (fma.f64 #s(literal 1/16 binary64) (.f64 y y) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 9 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/4096 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 1/4 binary64) y)) #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 6 binary64))) (.f64 (fma.f64 #s(literal 1/4 binary64) y x) (+.f64 (fma.f64 #s(literal 1/256 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 1/4 binary64) y)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 6 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x)) (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (-.f64 (.f64 x x) (.f64 (.f64 #s(literal -1/4 binary64) y) x))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/16 binary64) (.f64 x x))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) y x)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) y x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 y y) #s(literal -1/16 binary64) (.f64 x x)) (fma.f64 #s(literal 1/4 binary64) y x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/4 binary64) y x) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/16 binary64) (.f64 x x))) (fma.f64 #s(literal 1/4 binary64) y x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x))))
(neg.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -1/16 binary64) (.f64 x x)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) y x))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (.f64 (.f64 #s(literal 1/4 binary64) y) (-.f64 (.f64 #s(literal 1/4 binary64) y) x))) (neg.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) y x)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 y y) #s(literal -1/16 binary64) (.f64 x x))) (fma.f64 #s(literal -1/4 binary64) y x) (neg.f64 (.f64 (*.f64 y y) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) y x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 y (fma.f64 #s(literal 1/4 binary64) y x)) #s(literal 2 binary64))))) (fma.f64 x x (.f64 (.f64 #s(literal -1/4 binary64) y) (fma.f64 #s(literal 1/4 binary64) y x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 y (fma.f64 #s(literal 1/4 binary64) y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y)) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (*.f64 x x)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (*.f64 x x)))))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) y x)
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) y) x)
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1/4 binary64) (neg.f64 y) x)
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal -1/4 binary64) y))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x)))))
(fma.f64 (.f64 x x) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal -1 binary64)) (neg.f64 (.f64 (*.f64 y y) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) y x)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (*.f64 x x)))))
(fma.f64 (neg.f64 y) #s(literal 1/4 binary64) x)
(fma.f64 x (/.f64 x (fma.f64 #s(literal 1/4 binary64) y x)) (neg.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) y x)))))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) y))
(fma.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal -1 binary64) x)
(fma.f64 y #s(literal -1/4 binary64) x)
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 #s(literal 1/4 binary64) y))
(-.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/4 binary64) y x))) (.f64 (*.f64 y y) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x))) (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) y) x))
(-.f64 x (*.f64 #s(literal 1/4 binary64) y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/4 binary64) y x))) (neg.f64 (.f64 (*.f64 y y) (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) y x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y) (*.f64 x x)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(+.f64 x (*.f64 #s(literal -1/4 binary64) y))

eval27.0ms (1.3%)

Memory: -12.1MiB live, 27.0MiB allocated
Compiler: Compiled 2 524 to 401 computations (84.1% saved)

prune2.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	132	2	134

Accuracy

100.0%

Counts

134 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y #s(literal -1/4 binary64) x)
▶	48.1%	#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify9.0ms (0.4%)

Memory

13.0MiB live, 13.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 y #s(literal -1/4 binary64) x)
cost-diff	0	(*.f64 #s(literal -1/4 binary64) y)
cost-diff	0	#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	21
0	12	21
1	16	21
2	26	21
3	34	21
4	47	20
5	71	20
6	106	20
7	135	20
8	191	20
9	222	20
10	255	20
11	256	20
0	256	20

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
(*.f64 #s(literal -1/4 binary64) y)
#s(literal -1/4 binary64)
y
(fma.f64 y #s(literal -1/4 binary64) x)
y
#s(literal -1/4 binary64)
x

Outputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
(*.f64 #s(literal -1/4 binary64) y)
#s(literal -1/4 binary64)
y
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1/4 binary64) y x)
y
#s(literal -1/4 binary64)
x

localize32.0ms (1.6%)

Memory

-8.4MiB live, 30.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y #s(literal -1/4 binary64) x)
accuracy	0	(*.f64 #s(literal -1/4 binary64) y)
accuracy	33.224034306019476	#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Samples

25.0ms

256×

valid

Compiler

Compiled 41 to 20 computations (51.2% saved)

Precisions

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

ival-mult: 3.0ms (38.1% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

3 → 8

Calls

Call 1

Inputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
(*.f64 #s(literal -1/4 binary64) y)
(fma.f64 y #s(literal -1/4 binary64) x)

Outputs
(* -1/4 y)
(- x (* 1/4 y))
(+ x (* -1/4 y))
x
(* x (+ 1 (* -1/4 (/ y x))))
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(* y (- (/ x y) 1/4))
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))

Calls

6 calls:

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

simplify171.0ms (8.3%)

Memory

-0.7MiB live, 119.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	34
1	68	34
2	170	34
3	455	34
4	1246	34
5	2477	34
6	3280	34
7	3616	34
8	3912	34
9	4095	34
10	5239	34
11	6035	34
12	6803	34
13	7071	34
14	7851	34
0	8387	28

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 7

Calls

Call 1

Inputs
(* -1/4 y)
(- x (* 1/4 y))
(+ x (* -1/4 y))
x
(* x (+ 1 (* -1/4 (/ y x))))
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(* y (- (/ x y) 1/4))
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))

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

rewrite126.0ms (6.1%)

Memory

7.1MiB live, 165.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	16
0	12	16
1	49	15
2	399	15
3	6477	15
0	8203	15

Stop Event

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

Counts

3 → 141

Calls

Call 1

Inputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
(*.f64 #s(literal -1/4 binary64) y)
(fma.f64 y #s(literal -1/4 binary64) x)

Outputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
(*.f64 (neg.f64 y) #s(literal 1/4 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 1/4 binary64) y))
(*.f64 #s(literal 1/4 binary64) (neg.f64 y))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) y))
(*.f64 #s(literal -1/4 binary64) y)
(.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal -1/4 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -4 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal -1/16 binary64) (.f64 y y)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/4 binary64) y)))
(/.f64 (neg.f64 y) #s(literal 4 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) y))
(/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/4 binary64) y)))))
(/.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 y #s(literal -4 binary64))
(neg.f64 (*.f64 #s(literal 1/4 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/4 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -4 binary64) y)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/4 binary64) y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) y))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (neg.f64 x) x)) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal 1/16 binary64) (.f64 y y) (*.f64 x (fma.f64 #s(literal -1/4 binary64) y x))))
(.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y)) #s(literal 2 binary64)))) (fma.f64 x x (.f64 (*.f64 #s(literal -1/4 binary64) y) (fma.f64 #s(literal 1/4 binary64) y x))))
(.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y)) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 #s(literal 1/4 binary64) y)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)))
(.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4096 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x) #s(literal 3 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x) (pow.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (neg.f64 x) x)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (*.f64 (neg.f64 x) x))) (fma.f64 #s(literal -1/4 binary64) y x))
(.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 y y) (.f64 x x)) (fma.f64 #s(literal -1/16 binary64) (.f64 y y) (*.f64 x x))) (fma.f64 #s(literal -1/4 binary64) y x))
(.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 y y) (.f64 x x)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/4 binary64) y) (-.f64 (.f64 #s(literal 1/4 binary64) y) x) (.f64 x x)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/16 binary64) (.f64 y y) (*.f64 x x)))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) y x)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (*.f64 (neg.f64 x) x)))
(.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/4 binary64) y x) (/.f64 (fma.f64 #s(literal -1/4 binary64) y x) (fma.f64 #s(literal 1/4 binary64) y x)))
(.f64 (fma.f64 #s(literal 1/4 binary64) y x) (.f64 (fma.f64 #s(literal -1/4 binary64) y x) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 y y) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) y x)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) y x))
(.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)) (/.f64 (fma.f64 #s(literal -1/4 binary64) y x) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) x))))
(.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)) (.f64 (fma.f64 #s(literal -1/4 binary64) y x) (pow.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -1/4 binary64) y x) (/.f64 (-.f64 (.f64 #s(literal -1/4 binary64) y) x) (-.f64 (*.f64 #s(literal -1/4 binary64) y) x)))
(.f64 (fma.f64 #s(literal -1/4 binary64) y x) (.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) y) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) y x))))
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal -1 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 y y) (*.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) y) #s(literal -6 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) y x))) (fma.f64 #s(literal 1/16 binary64) (.f64 y y) (*.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 #s(literal -4 binary64) y) #s(literal -6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) y x))) (+.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) y) #s(literal -6 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) y) #s(literal -9 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/64 binary64) (pow.f64 (/.f64 #s(literal -4 binary64) y) #s(literal -6 binary64))) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 #s(literal -4 binary64) y) #s(literal -6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal -1/262144 binary64) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)) #s(literal -1 binary64))) (-.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (*.f64 #s(literal 1/4 binary64) y) x) #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) y) x))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/4 binary64) y x))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/16 binary64) y) (/.f64 y (fma.f64 #s(literal 1/4 binary64) y x))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (fma.f64 #s(literal 1/4 binary64) y x)) (.f64 (*.f64 #s(literal 1/16 binary64) y) (/.f64 y (fma.f64 #s(literal 1/4 binary64) y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x))) (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 y y)) (fma.f64 #s(literal 1/4 binary64) y x)) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) y) x))) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) y) (/.f64 y (-.f64 (.f64 #s(literal -1/4 binary64) y) x)) (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) y) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/4 binary64) y x))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/16 binary64) y) (/.f64 y (fma.f64 #s(literal 1/4 binary64) y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/4 binary64) y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/16 binary64) y) (/.f64 y (fma.f64 #s(literal 1/4 binary64) y x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 1/4 binary64) y x))) (.f64 (.f64 #s(literal 1/16 binary64) y) (/.f64 y (fma.f64 #s(literal 1/4 binary64) y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x))) (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) y x) x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 y y)) (fma.f64 #s(literal 1/4 binary64) y x)) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) y) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 y y)) (fma.f64 #s(literal 1/4 binary64) y x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) y) x))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 y y)) (fma.f64 #s(literal 1/4 binary64) y x)) (.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) y) x)))))))
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eval17.0ms (0.8%)

Memory: -2.8MiB live, 35.6MiB allocated
Compiler: Compiled 3 273 to 414 computations (87.4% saved)

prune5.0ms (0.2%)

Memory

-27.9MiB live, 11.1MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	143	2	145

Accuracy

100.0%

Counts

145 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal -1/4 binary64) x)
✓	48.1%	#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes8.0ms (0.4%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
(fma.f64 y #s(literal -1/4 binary64) x)
(-.f64 x (/.f64 y #s(literal 4 binary64)))

Outputs
(fma.f64 y #s(literal -1/4 binary64) x)

Calls

4 calls:

2.0ms	(-.f64 x (/.f64 y #s(literal 4 binary64)))
2.0ms	(/.f64 y #s(literal 4 binary64))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 x (/.f64 y #s(literal 4 binary64)))`
100.0%	1	`(/.f64 y #s(literal 4 binary64))`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes6.0ms (0.3%)

Memory

14.6MiB live, 14.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Outputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Calls

4 calls:

1.0ms	(-.f64 x (/.f64 y #s(literal 4 binary64)))
1.0ms	(/.f64 y #s(literal 4 binary64))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
48.1%	1	`x`
48.1%	1	`y`
48.1%	1	`(-.f64 x (/.f64 y #s(literal 4 binary64)))`
48.1%	1	`(/.f64 y #s(literal 4 binary64))`

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify30.0ms (1.5%)

Memory

-10.4MiB live, 75.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	10	13

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y #s(literal -1/4 binary64) x)
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Outputs
(fma.f64 y #s(literal -1/4 binary64) x)
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

soundness382.0ms (18.5%)

Memory

-30.7MiB live, 208.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	37
1	68	37
2	170	37
3	455	37
4	1250	37
5	2465	37
6	3267	37
7	3603	37
8	3899	37
9	4080	37
10	5224	37
11	6020	37
12	6788	37
13	7056	37
14	7836	37
0	8372	31
0	5	8
0	7	8
1	32	8
2	248	8
3	4066	8
0	8150	7

Stop Event

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

Compiler

Compiled 25 to 20 computations (20% saved)

preprocess27.0ms (1.3%)

Memory: 14.0MiB live, 53.8MiB allocated
Compiler: Compiled 36 to 28 computations (22.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	29
1	30	27
2	74	25
3	152	25
4	250	25
5	293	25
6	299	25
0	5	5
0	7	5
1	9	5
2	19	5
3	27	5
4	39	5
5	58	5
6	94	5
7	126	5
8	182	5
9	213	5
10	246	5
11	247	5
0	247	4

Iter	Nodes	Cost
0	5	11
0	7	11
1	9	11
2	19	11
3	27	11
4	39	11
5	58	11
6	94	11
7	126	11
8	182	11
9	213	11
10	246	11
11	247	11
0	247	10

Iter	Nodes	Cost
0	9	21
0	12	21
1	16	21
2	26	21
3	34	21
4	47	20
5	71	20
6	106	20
7	135	20
8	191	20
9	222	20
10	255	20
11	256	20
0	256	20

Iter	Nodes	Cost
0	13	29
1	30	27
2	74	25
3	152	25
4	250	25
5	293	25
6	299	25
0	5	5
0	7	5
1	9	5
2	19	5
3	27	5
4	39	5
5	58	5
6	94	5
7	126	5
8	182	5
9	213	5
10	246	5
11	247	5
0	247	4

Iter	Nodes	Cost
0	5	11
0	7	11
1	9	11
2	19	11
3	27	11
4	39	11
5	58	11
6	94	11
7	126	11
8	182	11
9	213	11
10	246	11
11	247	11
0	247	10

Iter	Nodes	Cost
0	9	21
0	12	21
1	16	21
2	26	21
3	34	21
4	47	20
5	71	20
6	106	20
7	135	20
8	191	20
9	222	20
10	255	20
11	256	20
0	256	20

start0.0ms (0%)

analyze0.0ms (0%)

sample709.0ms (34.3%)

explain92.0ms (4.4%)

preprocess22.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify21.0ms (1%)

localize14.0ms (0.7%)

series28.0ms (1.3%)

simplify180.0ms (8.7%)

rewrite157.0ms (7.6%)

eval27.0ms (1.3%)

prune2.0ms (0.1%)

simplify9.0ms (0.4%)

localize32.0ms (1.6%)

series2.0ms (0.1%)

simplify171.0ms (8.3%)

rewrite126.0ms (6.1%)

eval17.0ms (0.8%)

prune5.0ms (0.2%)

regimes8.0ms (0.4%)

regimes6.0ms (0.3%)

simplify30.0ms (1.5%)

soundness382.0ms (18.5%)

preprocess27.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	29
1	30	27
2	74	25
3	152	25
4	250	25
5	293	25
6	299	25
0	5	5
0	7	5
1	9	5
2	19	5
3	27	5
4	39	5
5	58	5
6	94	5
7	126	5
8	182	5
9	213	5
10	246	5
11	247	5
0	247	4

Iter	Nodes	Cost
0	5	11
0	7	11
1	9	11
2	19	11
3	27	11
4	39	11
5	58	11
6	94	11
7	126	11
8	182	11
9	213	11
10	246	11
11	247	11
0	247	10

Iter	Nodes	Cost
0	9	21
0	12	21
1	16	21
2	26	21
3	34	21
4	47	20
5	71	20
6	106	20
7	135	20
8	191	20
9	222	20
10	255	20
11	256	20
0	256	20