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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

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)

sample1.5s (31.3%)

Memory

-0.4MiB live, 1 306.4MiB allocated; 306ms collecting garbage

Samples

971.0ms	8 253×	0	valid
0.0ms	2×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 486.0ms

ival-add: 312.0ms (64.2% of total)

ival-mult: 98.0ms (20.2% of total)

ival-div: 59.0ms (12.1% of total)

ival-true: 6.0ms (1.2% of total)

exact: 6.0ms (1.2% of total)

adjust: 3.0ms (0.6% of total)

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

Bogosity

explain135.0ms (2.8%)

Memory

4.8MiB live, 153.2MiB allocated; 20ms collecting garbage

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

60.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-add: 32.0ms (77.4% of total)

ival-div: 4.0ms (9.7% of total)

ival-mult: 4.0ms (9.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess40.0ms (0.8%)

Memory

-9.3MiB live, 36.9MiB allocated; 4ms collecting garbage

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; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

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)

simplify5.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

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

localize20.0ms (0.4%)

Memory

34.5MiB live, 34.5MiB allocated; 0ms collecting garbage

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	0.01171875	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))

Samples

14.0ms

256×

valid

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

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

ival-div: 2.0ms (30.3% of total)

ival-add: 2.0ms (30.3% of total)

ival-mult: 2.0ms (30.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series70.0ms (1.4%)

Memory

-39.7MiB live, 11.4MiB allocated; 55ms collecting garbage

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
65.0ms	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	z	@	0	((+ (/ 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	y	@	-inf	((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x))

simplify155.0ms (3.2%)

Memory

-0.5MiB live, 91.5MiB allocated; 17ms collecting garbage

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)

rewrite225.0ms (4.6%)

Memory

19.8MiB live, 196.7MiB allocated; 39ms collecting garbage

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)))
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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))

eval19.0ms (0.4%)

Memory: 33.7MiB live, 33.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 6 613 to 573 computations (91.3% saved)

prune7.0ms (0.1%)

Memory

-32.6MiB live, 12.3MiB allocated; 6ms collecting garbage

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))
▶	65.6%	#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))

▶

65.6%

#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)

simplify11.0ms (0.2%)

Memory

18.8MiB live, 18.8MiB allocated; 0ms collecting garbage

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

localize60.0ms (1.2%)

Memory

-13.5MiB live, 85.9MiB allocated; 26ms collecting garbage

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	0.01171875	(+.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	0.0078125	(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) x z)
accuracy	22.032854026535954	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))

Samples

51.0ms

256×

valid

Compiler

Compiled 71 to 16 computations (77.5% saved)

Precisions

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

ival-add: 6.0ms (44% of total)

ival-mult: 5.0ms (36.7% of total)

ival-div: 2.0ms (14.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

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	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	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	@	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))

simplify120.0ms (2.5%)

Memory

8.4MiB live, 199.6MiB allocated; 31ms collecting garbage

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)))

rewrite319.0ms (6.6%)

Memory

-24.6MiB live, 382.1MiB allocated; 148ms collecting garbage

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)))
(neg.f64 (/.f64 (neg.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 (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))))
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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)

eval33.0ms (0.7%)

Memory: -25.3MiB live, 66.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 9 024 to 807 computations (91.1% saved)

prune5.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated; 0ms collecting garbage

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))
✓	65.6%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
▶	64.7%	#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)

simplify8.0ms (0.2%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

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

localize67.0ms (1.4%)

Memory

-28.7MiB live, 71.8MiB allocated; 7ms collecting garbage

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	0.02734375	(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
accuracy	22.584404857026342	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))

Samples

58.0ms

256×

valid

Compiler

Compiled 46 to 17 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 33.0ms (73.1% of total)

ival-add: 5.0ms (11.1% of total)

ival-mult: 5.0ms (11.1% of total)

ival-sub: 1.0ms (2.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

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))

simplify127.0ms (2.6%)

Memory

9.8MiB live, 183.5MiB allocated; 41ms collecting garbage

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)))

rewrite218.0ms (4.5%)

Memory

24.4MiB live, 256.3MiB allocated; 70ms collecting garbage

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))

eval74.0ms (1.5%)

Memory: -15.5MiB live, 29.7MiB allocated; 6ms collecting garbage
Compiler: Compiled 5 244 to 457 computations (91.3% saved)

prune4.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

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))
✓	65.6%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
✓	64.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
▶	30.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
▶	35.9%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Compiler

Compiled 88 to 69 computations (21.6% saved)

simplify8.0ms (0.2%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

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

localize50.0ms (1%)

Memory

-26.3MiB live, 70.7MiB allocated; 26ms collecting garbage

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	0.02734375	(*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)
accuracy	22.584404857026342	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
accuracy	31.809672715205	#s(approx (- y -1/2) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 y x)
accuracy	41.018941323693504	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Samples

41.0ms

256×

valid

Compiler

Compiled 58 to 18 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-add: 12.0ms (39.7% of total)

ival-sub: 9.0ms (29.8% of total)

ival-mult: 6.0ms (19.9% of total)

ival-div: 2.0ms (6.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

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	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))
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	@	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))

simplify174.0ms (3.6%)

Memory

1.3MiB live, 186.7MiB allocated; 56ms collecting garbage

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)))

rewrite294.0ms (6%)

Memory

-0.4MiB live, 398.1MiB allocated; 47ms collecting garbage

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))

eval18.0ms (0.4%)

Memory: -20.8MiB live, 25.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 4 003 to 353 computations (91.2% saved)

prune5.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

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
	64.7%	(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))
✓	65.6%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
✓	64.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
✓	30.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
✓	35.9%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Compiler

Compiled 221 to 109 computations (50.7% saved)

regimes45.0ms (0.9%)

Memory

-14.0MiB live, 31.5MiB allocated; 4ms collecting garbage

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:

31.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
3.0ms	z
3.0ms	x
3.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
3.0ms	y

Results

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

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes13.0ms (0.3%)

Memory

30.4MiB live, 30.4MiB allocated; 0ms collecting garbage

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

Results

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

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes38.0ms (0.8%)

Memory

-25.7MiB live, 23.8MiB allocated; 9ms collecting garbage

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:

30.0ms	x
2.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
2.0ms	z
2.0ms	y
2.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))

Results

Accuracy	Segments	Branch
89.9%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
78.6%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
83.8%	3	`x`
86.3%	3	`y`
79.4%	3	`z`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes4.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

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

2 calls:

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

Results

Accuracy	Segments	Branch
85.4%	3	`y`
79.1%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes7.0ms (0.1%)

Memory

24.5MiB live, 24.5MiB allocated; 0ms collecting garbage

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

Results

Accuracy	Segments	Branch
44.8%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
44.8%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
40.6%	3	`z`
41.1%	3	`x`
63.1%	3	`y`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes9.0ms (0.2%)

Memory

-21.2MiB live, 23.0MiB allocated; 5ms collecting garbage

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	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
35.9%	1	`z`
35.9%	1	`x`
35.9%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
35.9%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
35.9%	1	`y`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.080496711264413e+128	1.1331549580606173e+135
0.0ms	-4.657662928114948e+79	-5.865339832659752e+56

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch41.0ms (0.8%)

Memory

-1.0MiB live, 43.7MiB allocated; 7ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	8.459501597188377e+57	4.3975887550617954e+60
9.0ms	-117361054524.13368	-14018645852.990068

Samples

30.0ms

224×

valid

Compiler

Compiled 390 to 336 computations (13.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-add: 20.0ms (83.3% of total)

ival-div: 2.0ms (8.3% of total)

ival-mult: 2.0ms (8.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch34.0ms (0.7%)

Memory

16.5MiB live, 58.8MiB allocated; 9ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.0002119181586581294	192262902.79052308
12.0ms	-563.9230048845391	-0.29591884285461445

Samples

15.0ms

288×

valid

Compiler

Compiled 552 to 482 computations (12.7% saved)

Precisions

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

ival-add: 3.0ms (39.7% of total)

ival-div: 2.0ms (26.5% of total)

ival-mult: 2.0ms (26.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify67.0ms (1.4%)

Memory

-23.1MiB live, 80.9MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	167
1	67	167
2	89	167
3	111	167
4	135	167
5	159	167
6	324	167
7	1983	167
8	3636	167

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 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal -39999999999999998694240300026382076890985614426599919653064098474532012887638016 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal 499999999999999999108721782092620707994464434379706250218271669864970200952952324748557883071134280004888587983375832688116105216 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 -16500000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 8500000000000000149610025186925362049119657682471384776704 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 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal -39999999999999998694240300026382076890985614426599919653064098474532012887638016 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal 499999999999999999108721782092620707994464434379706250218271669864970200952952324748557883071134280004888587983375832688116105216 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 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal -39999999999999998694240300026382076890985614426599919653064098474532012887638016 binary64)) (not (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal 499999999999999999108721782092620707994464434379706250218271669864970200952952324748557883071134280004888587983375832688116105216 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 -16500000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 8500000000000000149610025186925362049119657682471384776704 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 -16500000000 binary64)) (not (<=.f64 y #s(literal 8500000000000000149610025186925362049119657682471384776704 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))

derivations739.0ms (15.2%)

Memory

-3.4MiB live, 719.4MiB allocated; 93ms collecting garbage

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

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 167 to 50 computations (70.1% saved)

preprocess56.0ms (1.2%)

Memory: 19.8MiB live, 66.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 352 to 116 computations (67% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

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%)

sample1.5s (31.3%)

explain135.0ms (2.8%)

preprocess40.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize20.0ms (0.4%)

series70.0ms (1.4%)

simplify155.0ms (3.2%)

rewrite225.0ms (4.6%)

eval19.0ms (0.4%)

prune7.0ms (0.1%)

simplify11.0ms (0.2%)

localize60.0ms (1.2%)

series7.0ms (0.1%)

simplify120.0ms (2.5%)

rewrite319.0ms (6.6%)

eval33.0ms (0.7%)

prune5.0ms (0.1%)

simplify8.0ms (0.2%)

localize67.0ms (1.4%)

series5.0ms (0.1%)

simplify127.0ms (2.6%)

rewrite218.0ms (4.5%)

eval74.0ms (1.5%)

prune4.0ms (0.1%)

simplify8.0ms (0.2%)

localize50.0ms (1%)

series5.0ms (0.1%)

simplify174.0ms (3.6%)

rewrite294.0ms (6%)

eval18.0ms (0.4%)

prune5.0ms (0.1%)

regimes45.0ms (0.9%)

regimes13.0ms (0.3%)

regimes38.0ms (0.8%)

regimes4.0ms (0.1%)

regimes7.0ms (0.1%)

regimes9.0ms (0.2%)

bsearch1.0ms (0%)

bsearch41.0ms (0.8%)

bsearch34.0ms (0.7%)

simplify67.0ms (1.4%)

derivations739.0ms (15.2%)

preprocess56.0ms (1.2%)

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