Metrics for Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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 11 to 10 computations (9.1% saved)

sample1.0s (18.9%)

Memory

23.4MiB live, 966.1MiB allocated

Samples

705.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 462.0ms

ival-add: 274.0ms (59.3% of total)

ival-mult: 90.0ms (19.5% of total)

ival-div: 85.0ms (18.4% of total)

ival-true: 6.0ms (1.3% of total)

exact: 5.0ms (1.1% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain176.0ms (3.3%)

Memory

-37.3MiB live, 137.3MiB allocated

FPErrors

Click to see full error table

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

85.0ms

512×

valid

Compiler

Compiled 91 to 36 computations (60.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 20.0ms (68.2% of total)

ival-add: 4.0ms (13.6% of total)

ival-mult: 4.0ms (13.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess20.0ms (0.4%)

Memory

21.0MiB live, 21.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	88
1	88	84
2	215	84
3	317	84
4	392	84
5	469	84
6	483	84
0	8	9
0	12	9
1	22	9
2	42	9
3	62	9
4	79	9
5	81	9
6	89	9
7	94	9
0	94	8

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify62.0ms (1.2%)

Memory

-34.9MiB live, 4.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
0	12	26
1	22	26
2	42	26
3	62	26
4	79	26
5	81	26
6	89	26
7	94	26
0	94	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize27.0ms (0.5%)

Memory

2.9MiB live, 40.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x #s(literal 2 binary64))
accuracy	0.0	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
accuracy	0.0	(*.f64 y x)
accuracy	0.01953125	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))

Samples

15.0ms

256×

valid

Compiler

Compiled 54 to 18 computations (66.7% saved)

Precisions

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

ival-div: 2.0ms (32.7% of total)

ival-add: 2.0ms (32.7% of total)

ival-mult: 2.0ms (32.7% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

4 → 17

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x))
1.0ms	x	@	-inf	((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x))
1.0ms	x	@	0	((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x))
1.0ms	z	@	0	((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x))
1.0ms	y	@	-inf	((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x))

simplify154.0ms (2.9%)

Memory

-0.7MiB live, 80.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	93
1	194	93
2	606	93
3	2298	93
4	5350	93
0	8507	84

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 16

Calls

Call 1

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

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

rewrite182.0ms (3.4%)

Memory

15.0MiB live, 204.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
0	12	22
1	51	22
2	406	22
3	6568	22
0	8200	20

Stop Event

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

Counts

4 → 158

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (fma.f64 (.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) y) x (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x (/.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64)))) (-.f64 (.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64)))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(.f64 (fma.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (.f64 #s(literal 4 binary64) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 x x) (.f64 #s(literal 4 binary64) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64)))))) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64)))))) (+.f64 (/.f64 (.f64 x x) (.f64 #s(literal 4 binary64) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (.f64 #s(literal 4 binary64) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (.f64 #s(literal 4 binary64) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 x x) (.f64 #s(literal 4 binary64) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))))) (fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 x x) (.f64 #s(literal 4 binary64) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 y x) (/.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64)))) (.f64 (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (.f64 (fma.f64 x (/.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64)))))
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(fma.f64 (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z) #s(literal 3 binary64)) (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z) (-.f64 (*.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z) (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) y) x (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) z)
(fma.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z)
(fma.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))))) z)
(fma.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64)))) (-.f64 (.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64)))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) z)
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z)) (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z) #s(literal 3 binary64)) (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z) (-.f64 (*.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z) (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 4 binary64))) (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) z))
(fma.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) (/.f64 (neg.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z)))
(fma.f64 (fabs.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) (/.f64 (fabs.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z)))
(fma.f64 (*.f64 z z) (/.f64 z (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (fma.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (fma.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) z)
(fma.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) z))
(fma.f64 z (/.f64 (*.f64 z z) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z)))
(fma.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64)))) z)
(fma.f64 y x (+.f64 z (/.f64 x #s(literal 2 binary64))))
(fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) z))
(fma.f64 x y (+.f64 z (/.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 z (/.f64 (.f64 x x) (.f64 #s(literal 4 binary64) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64))))) (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 y x z))) (/.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64)) (-.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 y x z))))
(-.f64 (+.f64 z (/.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 y) x))
(-.f64 (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z)) (*.f64 z (/.f64 z (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z))))
(-.f64 (/.f64 (.f64 x x) (.f64 #s(literal 4 binary64) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64))))) (-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) y (/.f64 x #s(literal 2 binary64)))) z))
(-.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) x) z))
(+.f64 (+.f64 z (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x z) (-.f64 (fma.f64 y x z) (/.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y x z) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x z) (-.f64 (fma.f64 y x z) (/.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (+.f64 z (/.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 x) (neg.f64 y)))
(+.f64 (+.f64 z (/.f64 x #s(literal 2 binary64))) (*.f64 y x))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) z (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (fma.f64 y x (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) z))
(+.f64 (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z)))
(+.f64 (fma.f64 y x z) (/.f64 x #s(literal 2 binary64)))
(+.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64))))
(+.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z)
(+.f64 (*.f64 y x) (+.f64 z (/.f64 x #s(literal 2 binary64))))
(+.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 y x z))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 x #s(literal 2 binary64))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(*.f64 y x)
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 y) x))

eval20.0ms (0.4%)

Memory: 15.0MiB live, 53.3MiB allocated
Compiler: Compiled 6 613 to 573 computations (91.3% saved)

prune4.0ms (0.1%)

Memory

-27.0MiB live, 12.2MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	160	3	163
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	161	3	164

Accuracy

100.0%

Counts

164 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x)) (.f64 y x)) z)
▶	100.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
▶	63.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))

Status

Accuracy

Program

▶

100.0%

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

▶

100.0%

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

▶

63.7%

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

Compiler

Compiled 43 to 34 computations (20.9% saved)

simplify10.0ms (0.2%)

Memory

18.8MiB live, 18.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	91
0	27	91
1	46	91
2	89	91
3	147	91
4	218	91
5	238	91
6	270	91
7	305	91
8	320	91
0	320	87

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize39.0ms (0.7%)

Memory

-7.9MiB live, 74.9MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.0	#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.01953125	(+.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x)) (.f64 y x))
accuracy	0.0	(+.f64 #s(literal 1/2 binary64) y)
accuracy	0.0	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
accuracy	0.015625	(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) x z)
accuracy	23.200084532909955	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))

Samples

29.0ms

256×

valid

Compiler

Compiled 162 to 35 computations (78.4% saved)

Precisions

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

ival-add: 6.0ms (44.9% of total)

ival-mult: 5.0ms (37.4% of total)

ival-div: 2.0ms (15% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

10 → 28

Calls

Call 1

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

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

Calls

9 calls:

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

simplify130.0ms (2.4%)

Memory

-0.4MiB live, 155.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	159
1	288	157
2	855	157
3	3171	157
4	6612	157
0	8094	144

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 26

Calls

Call 1

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

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

rewrite183.0ms (3.5%)

Memory

14.1MiB live, 279.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	80
0	27	80
1	129	80
2	1041	80
0	8219	76

Stop Event

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

Counts

10 → 191

Calls

Call 1

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

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

eval25.0ms (0.5%)

Memory: -3.3MiB live, 74.2MiB allocated
Compiler: Compiled 9 024 to 807 computations (91.1% saved)

prune5.0ms (0.1%)

Memory

-13.8MiB live, 25.8MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	200	2	202
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	201	4	205

Accuracy

100.0%

Counts

205 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y x (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z))
✓	100.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
✓	63.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
▶	59.6%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))

Compiler

Compiled 57 to 45 computations (21.1% saved)

simplify7.0ms (0.1%)

Memory

27.8MiB live, 27.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	61
0	22	61
1	38	61
2	66	61
3	91	61
4	117	61
5	127	61
6	143	61
7	156	61
8	161	61
0	161	60

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (0.7%)

Memory

-4.1MiB live, 78.4MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y x (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z))
accuracy	0.0	(+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.0	#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(-.f64 y #s(literal -1/2 binary64))
accuracy	0.01953125	(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
accuracy	25.83222244334867	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))

Samples

26.0ms

256×

valid

Compiler

Compiled 107 to 34 computations (68.2% saved)

Precisions

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

ival-mult: 5.0ms (39.7% of total)

ival-add: 4.0ms (31.8% of total)

ival-div: 2.0ms (15.9% of total)

ival-sub: 1.0ms (7.9% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

7 → 25

Calls

Call 1

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

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

Calls

9 calls:

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

simplify177.0ms (3.3%)

Memory

-42.3MiB live, 131.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	136
1	244	136
2	726	135
3	2753	135
4	6091	135
0	8249	125

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 23

Calls

Call 1

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

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

rewrite153.0ms (2.9%)

Memory

31.7MiB live, 152.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	54
0	22	54
1	101	54
2	791	54
0	8194	53

Stop Event

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

Counts

7 → 105

Calls

Call 1

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

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

eval36.0ms (0.7%)

Memory: -17.6MiB live, 19.7MiB allocated
Compiler: Compiled 5 244 to 457 computations (91.3% saved)

prune4.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	111	3	114
Fresh	0	0	0
Picked	1	1	2
Done	0	2	2
Total	112	6	118

Accuracy

100.0%

Counts

118 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y x #s(approx (+ (/ x 2) z) (fma.f64 #s(literal 1/2 binary64) x z)))
✓	100.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
✓	63.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
✓	59.6%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
▶	25.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
▶	35.4%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Compiler

Compiled 88 to 69 computations (21.6% saved)

simplify7.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	80
0	25	80
1	40	80
2	65	80
3	92	80
4	120	80
5	126	80
6	138	80
7	148	80
8	153	80
0	153	78

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize39.0ms (0.7%)

Memory

-9.3MiB live, 65.5MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y x #s(approx (+ (/ x 2) z) (fma.f64 #s(literal 1/2 binary64) x z)))
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) x z)
accuracy	0.0	#s(approx (+ (/ x 2) z) (fma.f64 #s(literal 1/2 binary64) x z))
accuracy	0.01953125	(*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)
accuracy	25.83222244334867	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
accuracy	32.082535709858206	#s(approx (- y -1/2) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 y x)
accuracy	41.32802029158115	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Samples

28.0ms

256×

valid

Compiler

Compiled 138 to 38 computations (72.5% saved)

Precisions

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

ival-mult: 7.0ms (41.6% of total)

ival-add: 6.0ms (35.7% of total)

ival-div: 2.0ms (11.9% of total)

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

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

8 → 25

Calls

Call 1

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

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

Calls

9 calls:

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

simplify134.0ms (2.5%)

Memory

6.4MiB live, 128.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	136
1	244	136
2	726	135
3	2757	135
4	5984	135
0	8438	125

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 23

Calls

Call 1

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

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

rewrite268.0ms (5.1%)

Memory

-22.7MiB live, 253.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	72
0	25	72
1	111	72
2	816	72
0	8391	70

Stop Event

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

Counts

8 → 78

Calls

Call 1

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

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

eval10.0ms (0.2%)

Memory: 24.6MiB live, 24.7MiB allocated
Compiler: Compiled 4 003 to 353 computations (91.2% saved)

prune8.0ms (0.2%)

Memory

-23.4MiB live, 13.3MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	87	6	93

Accuracy

100.0%

Counts

93 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.6%	(fma.f64 y x #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)))
✓	100.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
✓	63.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
✓	59.6%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
✓	25.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
✓	35.4%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Compiler

Compiled 221 to 109 computations (50.7% saved)

regimes19.0ms (0.4%)

Memory

2.6MiB live, 40.6MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	y
3.0ms	z
3.0ms	x
3.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
3.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)

Results

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

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes13.0ms (0.2%)

Memory

27.5MiB live, 27.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes13.0ms (0.2%)

Memory

-30.1MiB live, 19.8MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
75.7%	3	`x`
84.7%	3	`y`
83.8%	3	`z`
74.3%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
81.9%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
84.0%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.2%)

Memory

-20.9MiB live, 18.2MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
40.8%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
38.6%	2	`x`
40.9%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
39.3%	3	`z`
57.2%	3	`y`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes6.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
35.4%	1	`z`
35.4%	1	`x`
35.4%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
35.4%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
35.4%	1	`y`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

bsearch46.0ms (0.9%)

Memory

-6.9MiB live, 32.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	3.4304752946451537e-9	1.321297207718189e-7
11.0ms	-1.418651492475396	-0.002785522381669048

Samples

35.0ms

240×

valid

Compiler

Compiled 447 to 389 computations (13% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 25.0ms (86% of total)

ival-add: 2.0ms (6.9% of total)

ival-mult: 2.0ms (6.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.3%)

Memory

22.6MiB live, 22.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	7.887633689972719e+74	1.3228284598452824e+75
9.0ms	-474911337.97641736	-7748783.605733494

Samples

8.0ms

176×

valid

Compiler

Compiled 309 to 267 computations (13.6% saved)

Precisions

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

ival-add: 2.0ms (48.2% of total)

ival-div: 1.0ms (24.1% of total)

ival-mult: 1.0ms (24.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.4%)

Memory

-3.9MiB live, 34.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.002779809025658819	0.8640011075362687
11.0ms	-1.418651492475396	-0.002785522381669048

Samples

11.0ms

240×

valid

Compiler

Compiled 492 to 430 computations (12.6% saved)

Precisions

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

ival-div: 2.0ms (35% of total)

ival-add: 2.0ms (35% of total)

ival-mult: 2.0ms (35% of total)

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

exact: 0.0ms (0% of total)

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

simplify79.0ms (1.5%)

Memory

-21.3MiB live, 55.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	155
1	65	155
2	87	155
3	109	155
4	133	155
5	157	155
6	322	155
7	1960	155
8	3630	155

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 y x #s(approx (+ (/ x 2) z) (fma.f64 #s(literal 1/2 binary64) x z)))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
(if (<=.f64 y #s(literal -7349874591868649/288230376151711744 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (if (<=.f64 y #s(literal 4911261142184431/37778931862957161709568 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))))
(if (<=.f64 y #s(literal -120000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 839999999999999954362796630834109851167015624179179050522652930443432689664 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))
(if (<=.f64 y #s(literal -1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 1/2 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #s(approx (+ (+ (/ x 2) ( y x)) z) (*.f64 y x))))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Outputs
(fma.f64 y x #s(approx (+ (/ x 2) z) (fma.f64 #s(literal 1/2 binary64) x z)))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
(if (<=.f64 y #s(literal -7349874591868649/288230376151711744 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (if (<=.f64 y #s(literal 4911261142184431/37778931862957161709568 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))))
(if (or (<=.f64 y #s(literal -7349874591868649/288230376151711744 binary64)) (not (<=.f64 y #s(literal 4911261142184431/37778931862957161709568 binary64)))) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 (-.f64 y #s(literal -1/2 binary64)) x)) #s(approx (+ (+ (/ x 2) ( y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)))
(if (<=.f64 y #s(literal -120000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 839999999999999954362796630834109851167015624179179050522652930443432689664 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))
(if (or (<=.f64 y #s(literal -120000000 binary64)) (not (<=.f64 y #s(literal 839999999999999954362796630834109851167015624179179050522652930443432689664 binary64)))) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) #s(approx (+ (+ (/ x 2) ( y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)))
(if (<=.f64 y #s(literal -1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 1/2 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #s(approx (+ (+ (/ x 2) ( y x)) z) (*.f64 y x))))
(if (or (<=.f64 y #s(literal -1/2 binary64)) (not (<=.f64 y #s(literal 1/2 binary64)))) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) #s(approx (+ (+ (/ x 2) ( y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

soundness2.1s (39.4%)

Memory

14.7MiB live, 575.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	80
0	27	80
1	129	80
2	1041	80
0	8219	76
0	57	93
1	194	93
2	606	93
3	2298	93
4	5350	93
0	8507	84
0	83	159
1	288	157
2	855	157
3	3171	157
4	6612	157
0	8094	144
0	72	136
1	244	136
2	726	135
3	2753	135
4	6091	135
0	8249	125

Stop Event

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

Compiler

Compiled 252 to 153 computations (39.3% saved)

preprocess51.0ms (1%)

Memory: 8.3MiB live, 54.7MiB allocated
Compiler: Compiled 328 to 110 computations (66.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	32	88
1	88	84
2	215	84
3	317	84
4	392	84
5	469	84
6	483	84
0	8	9
0	12	9
1	22	9
2	42	9
3	62	9
4	79	9
5	81	9
6	89	9
7	94	9
0	94	8

Iter	Nodes	Cost
0	19	91
0	27	91
1	46	91
2	89	91
3	147	91
4	218	91
5	238	91
6	270	91
7	305	91
8	320	91
0	320	87

Iter	Nodes	Cost
0	17	61
0	22	61
1	38	61
2	66	61
3	91	61
4	117	61
5	127	61
6	143	61
7	156	61
8	161	61
0	161	60

Iter	Nodes	Cost
0	20	80
0	25	80
1	40	80
2	65	80
3	92	80
4	120	80
5	126	80
6	138	80
7	148	80
8	153	80
0	153	78

Iter	Nodes	Cost
0	32	88
1	88	84
2	215	84
3	317	84
4	392	84
5	469	84
6	483	84
0	8	9
0	12	9
1	22	9
2	42	9
3	62	9
4	79	9
5	81	9
6	89	9
7	94	9
0	94	8

Iter	Nodes	Cost
0	19	91
0	27	91
1	46	91
2	89	91
3	147	91
4	218	91
5	238	91
6	270	91
7	305	91
8	320	91
0	320	87

Iter	Nodes	Cost
0	17	61
0	22	61
1	38	61
2	66	61
3	91	61
4	117	61
5	127	61
6	143	61
7	156	61
8	161	61
0	161	60

Iter	Nodes	Cost
0	20	80
0	25	80
1	40	80
2	65	80
3	92	80
4	120	80
5	126	80
6	138	80
7	148	80
8	153	80
0	153	78

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (18.9%)

explain176.0ms (3.3%)

preprocess20.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify62.0ms (1.2%)

localize27.0ms (0.5%)

series7.0ms (0.1%)

simplify154.0ms (2.9%)

rewrite182.0ms (3.4%)

eval20.0ms (0.4%)

prune4.0ms (0.1%)

simplify10.0ms (0.2%)

localize39.0ms (0.7%)

series6.0ms (0.1%)

simplify130.0ms (2.4%)

rewrite183.0ms (3.5%)

eval25.0ms (0.5%)

prune5.0ms (0.1%)

simplify7.0ms (0.1%)

localize35.0ms (0.7%)

series5.0ms (0.1%)

simplify177.0ms (3.3%)

rewrite153.0ms (2.9%)

eval36.0ms (0.7%)

prune4.0ms (0.1%)

simplify7.0ms (0.1%)

localize39.0ms (0.7%)

series5.0ms (0.1%)

simplify134.0ms (2.5%)

rewrite268.0ms (5.1%)

eval10.0ms (0.2%)

prune8.0ms (0.2%)

regimes19.0ms (0.4%)

regimes13.0ms (0.2%)

regimes13.0ms (0.2%)

regimes2.0ms (0%)

regimes8.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch46.0ms (0.9%)

bsearch17.0ms (0.3%)

bsearch24.0ms (0.4%)

simplify79.0ms (1.5%)

soundness2.1s (39.4%)

preprocess51.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	32	88
1	88	84
2	215	84
3	317	84
4	392	84
5	469	84
6	483	84
0	8	9
0	12	9
1	22	9
2	42	9
3	62	9
4	79	9
5	81	9
6	89	9
7	94	9
0	94	8

Iter	Nodes	Cost
0	19	91
0	27	91
1	46	91
2	89	91
3	147	91
4	218	91
5	238	91
6	270	91
7	305	91
8	320	91
0	320	87

Iter	Nodes	Cost
0	17	61
0	22	61
1	38	61
2	66	61
3	91	61
4	117	61
5	127	61
6	143	61
7	156	61
8	161	61
0	161	60

Iter	Nodes	Cost
0	20	80
0	25	80
1	40	80
2	65	80
3	92	80
4	120	80
5	126	80
6	138	80
7	148	80
8	153	80
0	153	78