Metrics for Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, G

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB 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 9 to 9 computations (0% saved)

sample655.0ms (29.4%)

Memory

-29.4MiB live, 815.2MiB allocated

Samples

437.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 221.0ms

ival-div: 95.0ms (43.1% of total)

ival-mult: 68.0ms (30.8% of total)

ival-add: 40.0ms (18.1% of total)

exact: 8.0ms (3.6% of total)

ival-true: 6.0ms (2.7% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain56.0ms (2.5%)

Memory

-7.1MiB live, 153.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))`
-	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`#s(literal 1 binary64)`
-	-	`(+.f64 x y)`
-	-	`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

24.0ms

512×

valid

Compiler

Compiled 62 to 32 computations (48.4% saved)

Precisions

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

ival-div: 3.0ms (29% of total)

ival-add: 3.0ms (29% of total)

ival-mult: 3.0ms (29% of total)

exact: 1.0ms (9.7% of total)

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

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

preprocess22.0ms (1%)

Memory

11.4MiB live, 50.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	27
1	56	25
2	170	25
3	283	25
4	388	25
5	445	25
6	456	25
0	7	5
0	11	5
1	21	5
2	23	5
0	23	5

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))

Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))

Symmetry

(sort x y)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify3.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x y)
cost-diff	0	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	11	13
1	21	13
2	23	13
0	23	13

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 x y)
x
y

Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 x y)
(+.f64 y x)
x
y

localize18.0ms (0.8%)

Memory

2.1MiB live, 41.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
accuracy	0.0	(+.f64 x y)
accuracy	0.0	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))

Samples

13.0ms

256×

valid

Compiler

Compiled 36 to 16 computations (55.6% saved)

Precisions

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

ival-div: 4.0ms (57.8% of total)

ival-mult: 2.0ms (28.9% of total)

ival-add: 1.0ms (14.5% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

3 → 14

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
(+.f64 x y)

Outputs
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
y
(+ x y)
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ y x))))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (+ 1/2 (* 1/2 (/ x y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Calls

6 calls:

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

simplify151.0ms (6.8%)

Memory

8.1MiB live, 165.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	48
1	115	48
2	264	48
3	783	48
4	1826	48
5	2659	48
6	3332	48
7	3633	48
8	3797	48
9	3833	48
10	6109	48
0	8059	48

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 12

Calls

Call 1

Inputs
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
y
(+ x y)
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ y x))))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (+ 1/2 (* 1/2 (/ x y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Outputs
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 x) (* 1/2 y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
y
(+ x y)
(+.f64 y x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* y (+ 1/2 (* 1/2 (/ x y))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)

rewrite183.0ms (8.2%)

Memory

-14.0MiB live, 299.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
0	11	9
1	34	9
2	182	9
3	1529	9
0	8403	9

Stop Event

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

Counts

3 → 254

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
(+.f64 x y)

Outputs
#s(literal 1/2 binary64)
(.f64 (/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (.f64 x x)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (*.f64 (-.f64 y x) y)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y x) y) (fma.f64 (-.f64 y x) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (.f64 y y)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x y)))
(.f64 (.f64 (-.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (.f64 x x) (.f64 y y))) (/.f64 #s(literal -1 binary64) (-.f64 x y)))
(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(.f64 (neg.f64 (.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x y)))
(.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 #s(literal -1/4 binary64) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 y #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))))
(.f64 (.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 #s(literal -1/4 binary64) (.f64 y y))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 y #s(literal 1/2 binary64))))))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 y #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 y x) y (.f64 x x))))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y)))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))))) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 1/2 binary64) (-.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1/2 binary64))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (*.f64 y y)) #s(literal 1/2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))) (fma.f64 (-.f64 y x) y (.f64 x x)))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (.f64 x x) (*.f64 y y)))) (-.f64 x y))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 y x) y (.f64 x x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64)))) (-.f64 x y))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)))) (fma.f64 (-.f64 y x) y (.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 #s(literal -1/4 binary64) (.f64 y y))))) (neg.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) (.f64 #s(literal 1/4 binary64) (.f64 y y)))) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(/.f64 (/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1/2 binary64)) (-.f64 y x))
(/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (*.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1 binary64) x y))
(/.f64 (.f64 (-.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (.f64 x x) (*.f64 y y))) (fma.f64 #s(literal -1 binary64) x y))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 #s(literal -1/4 binary64) (.f64 x x))) (fma.f64 y #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1 binary64) x y))
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(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) (neg.f64 (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (-.f64 x y)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x y)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) x y)) (neg.f64 (+.f64 y x)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(-.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x)))
(-.f64 x (neg.f64 y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 y x))))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 (neg.f64 (/.f64 (.f64 y y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y (+.f64 y x) (.f64 x x))))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 (neg.f64 (/.f64 (.f64 y y) (.f64 (-.f64 x y) (+.f64 y x)))) (+.f64 y x)))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 (*.f64 (neg.f64 y) y) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 (neg.f64 y) (/.f64 y (-.f64 x y))))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 y x)
(+.f64 x (*.f64 #s(literal 1 binary64) y))
(+.f64 x y)

eval31.0ms (1.4%)

Memory: -17.1MiB live, 66.3MiB allocated
Compiler: Compiled 6 474 to 805 computations (87.6% saved)

prune4.0ms (0.2%)

Memory

17.0MiB live, 17.0MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	255	3	258
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	256	3	259

Accuracy

100.0%

Counts

259 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
▶	53.1%	#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y))
▶	48.8%	#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify4.0ms (0.2%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 y x)
cost-diff	0	(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) y)
cost-diff	0	#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
0	18	39
1	25	39
2	26	39
0	26	39

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+.f64 y x)
y
x
#s(literal 1/2 binary64)

Outputs
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x y)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (* (/ 1 2) (+ x y)) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
y
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+.f64 y x)
y
x
#s(literal 1/2 binary64)

localize28.0ms (1.3%)

Memory

17.4MiB live, 55.6MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	29.984639684199426	#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	32.75631610224458	#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))

Samples

20.0ms

256×

valid

Compiler

Compiled 80 to 28 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 8.0ms (63.9% of total)

ival-div: 2.0ms (16% of total)

ival-add: 2.0ms (16% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.3%)

Memory

-31.7MiB live, 6.6MiB allocated

Counts

6 → 14

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+.f64 y x)

Outputs
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
(* 1/2 x)
y
(+ x y)
(* x (+ 1/2 (* 1/2 (/ y x))))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (+ 1/2 (* 1/2 (/ x y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	((* (/ 1 2) (+ x y)) (* 1/2 x) (* (/ 1 2) (+ x y)) (* 1/2 y) (* (+ y x) 1/2) (+ y x))
1.0ms	x	@	inf	((* (/ 1 2) (+ x y)) (* 1/2 x) (* (/ 1 2) (+ x y)) (* 1/2 y) (* (+ y x) 1/2) (+ y x))
1.0ms	x	@	-inf	((* (/ 1 2) (+ x y)) (* 1/2 x) (* (/ 1 2) (+ x y)) (* 1/2 y) (* (+ y x) 1/2) (+ y x))
0.0ms	y	@	-inf	((* (/ 1 2) (+ x y)) (* 1/2 x) (* (/ 1 2) (+ x y)) (* 1/2 y) (* (+ y x) 1/2) (+ y x))
0.0ms	y	@	inf	((* (/ 1 2) (+ x y)) (* 1/2 x) (* (/ 1 2) (+ x y)) (* 1/2 y) (* (+ y x) 1/2) (+ y x))

simplify160.0ms (7.2%)

Memory

22.7MiB live, 178.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	48
1	115	48
2	264	48
3	790	48
4	1824	48
5	2656	48
6	3328	48
7	3629	48
8	3793	48
9	3829	48
10	6116	48
0	8066	48

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 12

Calls

Call 1

Inputs
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
(* 1/2 x)
y
(+ x y)
(* x (+ 1/2 (* 1/2 (/ y x))))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (+ 1/2 (* 1/2 (/ x y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Outputs
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 x) (* 1/2 y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
y
(+ x y)
(+.f64 y x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* y (+ 1/2 (* 1/2 (/ x y))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)

rewrite196.0ms (8.8%)

Memory

-3.6MiB live, 282.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
0	18	32
1	46	32
2	257	32
3	2658	32
0	8360	32

Stop Event

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

Counts

6 → 262

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+.f64 y x)

Outputs
#s(approx (* (/ 1 2) (+ x y)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (* (/ 1 2) (+ x y)) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 (/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (.f64 x x)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64)) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (.f64 x x)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64)) (.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (*.f64 (-.f64 y x) y)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (.f64 y y) (*.f64 (-.f64 x y) x)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x y) x) (-.f64 (.f64 (-.f64 x y) x) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(.f64 (.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (.f64 y #s(literal 1/2 binary64)) (-.f64 (.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1/2 binary64) (-.f64 y x)))
(.f64 (.f64 (-.f64 y x) (+.f64 y x)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x y) x (.f64 y y))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(pow.f64 (/.f64 (-.f64 x y) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 y x) (.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) (.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (.f64 y #s(literal 1/2 binary64)) (-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 (-.f64 x y) (+.f64 y x))) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 (-.f64 y x) (+.f64 y x))) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 (-.f64 y x))))
(/.f64 (neg.f64 (.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (.f64 y y)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 (-.f64 x y) (+.f64 y x))))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 (-.f64 y x) (+.f64 y x))))) (neg.f64 (neg.f64 (-.f64 y x))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (neg.f64 (-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 (-.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))))) (neg.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (.f64 y #s(literal 1/2 binary64)) (-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) (.f64 #s(literal 1/4 binary64) (.f64 y y)))) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(/.f64 (.f64 (neg.f64 (.f64 (-.f64 x y) (+.f64 y x))) #s(literal 1/2 binary64)) (neg.f64 (-.f64 x y)))
(/.f64 (.f64 (neg.f64 (.f64 (-.f64 y x) (+.f64 y x))) #s(literal 1/2 binary64)) (neg.f64 (-.f64 y x)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (-.f64 x y) x (.f64 y y))))
(/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 (-.f64 x y) (+.f64 y x)))) (neg.f64 (-.f64 x y)))
(/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 (-.f64 y x) (+.f64 y x)))) (neg.f64 (-.f64 y x)))
(/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 x y) x (.f64 y y))))
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (.f64 (.f64 y (/.f64 y (-.f64 y x))) (.f64 x (/.f64 x (-.f64 y x))))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (.f64 (.f64 y (/.f64 y (-.f64 y x))) (.f64 x (/.f64 x (-.f64 y x))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 x y) (.f64 y y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (.f64 y y) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 y x) (.f64 x x)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (fma.f64 y y (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (fma.f64 y y (.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 x y) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (-.f64 x y) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (-.f64 y x) (fma.f64 (.f64 x x) (fma.f64 y y (.f64 x x)) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 y x) (fma.f64 (.f64 x x) (fma.f64 y y (.f64 x x)) (pow.f64 y #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 x y) x (.f64 y y)))) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 x y) x (.f64 y y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x y)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (-.f64 x y)))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (-.f64 y x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (-.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 y y (.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 y x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 y y (.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (.f64 y y))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 y x))) (/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (neg.f64 (-.f64 y x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 x y))) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (neg.f64 (-.f64 x y))))
(-.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))
(-.f64 (.f64 y (/.f64 y (-.f64 y x))) (.f64 x (/.f64 x (-.f64 y x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 (.f64 y (/.f64 y (-.f64 y x))) (neg.f64 (.f64 x (/.f64 x (-.f64 y x)))))
(+.f64 y x)
(+.f64 x y)

eval30.0ms (1.3%)

Memory: -7.5MiB live, 68.8MiB allocated
Compiler: Compiled 6 510 to 939 computations (85.6% saved)

prune5.0ms (0.2%)

Memory

21.6MiB live, 21.6MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	266	0	266
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	266	3	269

Accuracy

100.0%

Counts

269 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
✓	53.1%	#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y))
✓	48.8%	#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 61 to 44 computations (27.9% saved)

regimes11.0ms (0.5%)

Memory

-20.1MiB live, 25.2MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))

Outputs
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))

Calls

4 calls:

4.0ms	(+.f64 x y)
2.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))`
100.0%	1	`(+.f64 x y)`

Compiler

Compiled 12 to 14 computations (-16.7% saved)

regimes7.0ms (0.3%)

Memory

-20.8MiB live, 18.2MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y))

Outputs
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y))

Calls

4 calls:

1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
1.0ms	x
1.0ms	(+.f64 x y)
1.0ms	y

Results

Accuracy	Segments	Branch
86.2%	2	`x`
86.5%	2	`y`
98.6%	2	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))`
98.6%	2	`(+.f64 x y)`

Compiler

Compiled 12 to 14 computations (-16.7% saved)

regimes5.0ms (0.2%)

Memory

16.1MiB live, 16.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))

Outputs
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))

Calls

4 calls:

1.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))
1.0ms	(+.f64 x y)
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
48.8%	1	`x`
48.8%	1	`y`
48.8%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x y))`
48.8%	1	`(+.f64 x y)`

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.471461095374159e-178	5.906587435477303e-250

Compiler

Compiled 10 to 12 computations (-20% saved)

simplify24.0ms (1.1%)

Memory

6.1MiB live, 45.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	38
1	25	38

Stop Event

1×

saturated

Calls

Call 1

Inputs

(*.f64 (+.f64 y x) #s(literal 1/2 binary64))

(if (<=.f64 (+.f64 x y) #s(literal -4562440617622195/9124881235244390437282343211400582649786457014497119861158385035798550334417354773011825622634742799557284619147188814621377409442750875996505322639444428376503989348720529900165748384493207552 binary64)) #s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y)))

#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))

Outputs
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(*.f64 (+.f64 x y) #s(literal 1/2 binary64))
(if (<=.f64 (+.f64 x y) #s(literal -4562440617622195/9124881235244390437282343211400582649786457014497119861158385035798550334417354773011825622634742799557284619147188814621377409442750875996505322639444428376503989348720529900165748384493207552 binary64)) #s(approx (* (/ 1 2) (+ x y)) (.f64 #s(literal 1/2 binary64) x)) #s(approx ( (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (* (/ 1 2) (+ x y)) (*.f64 #s(literal 1/2 binary64) x))

soundness577.0ms (25.9%)

Memory

-18.9MiB live, 301.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
0	11	9
1	34	9
2	182	9
3	1529	9
0	8403	9
0	38	48
1	115	48
2	264	48
3	783	48
4	1826	48
5	2659	48
6	3332	48
7	3633	48
8	3797	48
9	3833	48
10	6109	48
0	8059	48

Stop Event

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

Compiler

Compiled 79 to 41 computations (48.1% saved)

preprocess45.0ms (2%)

Memory: 21.8MiB live, 105.5MiB allocated
Remove: (sort x y)
Compiler: Compiled 132 to 78 computations (40.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample655.0ms (29.4%)

explain56.0ms (2.5%)

preprocess22.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize18.0ms (0.8%)

series2.0ms (0.1%)

simplify151.0ms (6.8%)

rewrite183.0ms (8.2%)

eval31.0ms (1.4%)

prune4.0ms (0.2%)

simplify4.0ms (0.2%)

localize28.0ms (1.3%)

series6.0ms (0.3%)

simplify160.0ms (7.2%)

rewrite196.0ms (8.8%)

eval30.0ms (1.3%)

prune5.0ms (0.2%)

regimes11.0ms (0.5%)

regimes7.0ms (0.3%)

regimes5.0ms (0.2%)

bsearch0.0ms (0%)

simplify24.0ms (1.1%)

soundness577.0ms (25.9%)

preprocess45.0ms (2%)

end0.0ms (0%)

Profiling