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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.5s (32.8%)

Memory

17.5MiB live, 1 039.8MiB allocated

Samples

1.2s	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 350.0ms

ival-div: 167.0ms (47.7% of total)

ival-add: 110.0ms (31.4% of total)

ival-mult: 60.0ms (17.1% of total)

ival-true: 6.0ms (1.7% of total)

exact: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain224.0ms (5%)

Memory

-142.6MiB live, 103.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

32.0ms

512×

valid

Compiler

Compiled 91 to 36 computations (60.4% saved)

Precisions

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

ival-div: 7.0ms (42.2% of total)

ival-add: 4.0ms (24.1% of total)

ival-mult: 4.0ms (24.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess73.0ms (1.6%)

Memory

-13.0MiB live, 23.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	88
1	88	82
2	232	81
3	662	69
4	1166	65
5	1714	63
6	2190	63
7	2376	63
8	2424	63
9	2432	63
10	2432	63
0	8	9
0	12	9
1	17	9
2	24	9
3	26	9
0	26	8

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	(/.f64 x #s(literal 2 binary64))
cost-diff	0	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
cost-diff	128	(+.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	17	26
2	24	26
3	26	26
0	26	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

localize19.0ms (0.4%)

Memory

19.9MiB live, 19.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x #s(literal 2 binary64))
accuracy	0	(*.f64 y x)
accuracy	0.0078125	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
accuracy	0.01171875	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))

Samples

13.0ms

256×

valid

Compiler

Compiled 54 to 18 computations (66.7% saved)

Precisions

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

ival-div: 2.0ms (32.4% of total)

ival-add: 2.0ms (32.4% of total)

ival-mult: 2.0ms (32.4% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

4 → 17

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	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))

simplify97.0ms (2.2%)

Memory

-19.5MiB live, 53.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	93
1	174	93
2	488	93
3	1315	93
4	3636	93
5	6712	93
0	8253	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 y #s(literal -1/2 binary64)) x)
z
(+ z (* x (+ 1/2 y)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) 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 y #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)
(+ (* 1/2 x) (* x y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(+ z (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x z)
(+ z (+ (* 1/2 x) (* x 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 (+ x (+ (* 1/2 (/ x y)) (/ z 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)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)

rewrite184.0ms (4.1%)

Memory

-2.5MiB live, 239.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
0	12	22
1	52	18
2	452	18
3	6077	18
0	8040	17

Stop Event

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

Counts

4 → 242

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 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 y x) x) (+.f64 #s(literal 1/2 binary64) y))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4 binary64)) (pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1/2 binary64))) (.f64 y x)) #s(literal 2 binary64)))) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (.f64 (neg.f64 x) y) (*.f64 x (-.f64 y #s(literal 1/2 binary64))))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1/2 binary64))) (.f64 y x)) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 x (-.f64 y #s(literal 1/2 binary64))) (.f64 y x)) (-.f64 (.f64 (.f64 x (-.f64 y #s(literal 1/2 binary64))) (.f64 y x)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4 binary64))))
(.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))) (.f64 (+.f64 #s(literal 1/2 binary64) y) x))
(.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 #s(literal 1/2 binary64) y)))
(*.f64 (+.f64 #s(literal 1/2 binary64) y) x)
(.f64 (.f64 (.f64 x x) (-.f64 (.f64 y y) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))))
(.f64 (pow.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))))
(.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))) (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) y) x))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) y) x) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) y) x) (pow.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 #s(literal 1/2 binary64) y) x) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) (.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
(.f64 (.f64 (+.f64 #s(literal 1/2 binary64) y) x) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(pow.f64 (/.f64 (.f64 x (-.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 y y) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 y y))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 y y))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/512 binary64) (pow.f64 (.f64 y x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (/.f64 (pow.f64 (.f64 (.f64 y x) x) #s(literal 3 binary64)) #s(literal 8 binary64)))))
(/.f64 (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(/.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y))) (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)))) (.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)))) (fma.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y))) (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y))) (fma.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y))) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) x) (-.f64 #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 y y) #s(literal 1/4 binary64)))) (neg.f64 (.f64 x (-.f64 y #s(literal 1/2 binary64)))))
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(fma.f64 (*.f64 #s(literal 1 binary64) y) x (fma.f64 #s(literal 1/2 binary64) x z))
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (fma.f64 y x z))
(fma.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 #s(literal 1/2 binary64) y)) z)
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(fma.f64 (.f64 (.f64 x x) (-.f64 (.f64 y y) #s(literal 1/4 binary64))) (pow.f64 (.f64 x (-.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)) z)
(fma.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z z)) (pow.f64 (fma.f64 y x (neg.f64 z)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (fma.f64 y x z))
(fma.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y))) z)
(fma.f64 (pow.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) z)
(fma.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 z (-.f64 z (.f64 y x)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))) (pow.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) z)
(fma.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)) z)
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x) (fma.f64 y x z))
(fma.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)) z)
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 1 binary64)) (fma.f64 y x z))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 y x z))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z)
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x z))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (fma.f64 y x z))
(fma.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 z z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z)))))
(fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) y) x) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) z)
(fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) y) x) (pow.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) z)
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) z)
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (fma.f64 y x z))
(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) y) x) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) y) x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z)))))
(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) y) x) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) z)
(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) y) x) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64))) z)
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x z))
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (fma.f64 y x z))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y x z))
(fma.f64 x y (fma.f64 #s(literal 1/2 binary64) x z))
(-.f64 (+.f64 z (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)))) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)))
(-.f64 (/.f64 (.f64 z z) (-.f64 z (.f64 (+.f64 #s(literal 1/2 binary64) y) x))) (/.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (-.f64 z (.f64 (+.f64 #s(literal 1/2 binary64) y) x))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) y) x) z)) (/.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) z)))
(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z))) (/.f64 (.f64 z z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z))))
(-.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y))) (-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) z))
(-.f64 (fma.f64 y x z) (*.f64 #s(literal -1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 y x))
(+.f64 (/.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z))) (neg.f64 (/.f64 (.f64 z z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z)))))
(+.f64 (fma.f64 y x z) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z)
(+.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x z))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 y x z))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 x #s(literal 2 binary64))
(neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) x))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) y) x)
(.f64 #s(literal 1 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x y)

eval27.0ms (0.6%)

Memory: 25.3MiB live, 63.5MiB allocated
Compiler: Compiled 5 823 to 755 computations (87% saved)

prune4.0ms (0.1%)

Memory

-26.0MiB live, 12.9MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	244	3	247
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	245	3	248

Accuracy

100.0%

Counts

248 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
▶	100.0%	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y x z))
▶	64.8%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))

Compiler

Compiled 27 to 23 computations (14.8% saved)

simplify5.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
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	(fma.f64 y x z)
cost-diff	192	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 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: 1 (0.0ms)

Iter	Nodes	Cost
0	15	49
0	23	49
1	37	47
2	46	47
3	47	47
0	47	47

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

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

localize38.0ms (0.8%)

Memory

9.6MiB live, 52.1MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1/2 binary64) y)
accuracy	0.00390625	(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
accuracy	0	(fma.f64 y x z)
accuracy	0.00390625	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y x z))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) x z)
accuracy	22.53945732782493	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))

Samples

27.0ms

256×

valid

Compiler

Compiled 100 to 34 computations (66% saved)

Precisions

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

ival-add: 8.0ms (48% of total)

ival-mult: 7.0ms (42% of total)

ival-div: 2.0ms (12% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

6 → 33

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

Outputs
z
(+ z (* x (+ 1/2 y)))
(+ z (* 1/2 x))
(+ z (* x y))
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* 1/2 x)
(* x (+ 1/2 (/ z x)))
(* x y)
(* x (+ y (/ 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 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(+ z (+ (* 1/2 x) (* x y)))
1/2
(+ 1/2 y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (/ z y)))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(+ (* 1/2 x) (* x y))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (* 1/2 (/ x z))))
(* z (+ 1 (/ (* x y) 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 y) 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 1/2) (+ (* y x) z)) (+ (* y x) z) (+ (* (+ 1/2 y) x) z) (+ 1/2 y))
1.0ms	y	@	-inf	((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (* x 1/2) (+ (* y x) z)) (+ (* y x) z) (+ (* (+ 1/2 y) x) z) (+ 1/2 y))
1.0ms	x	@	0	((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (* x 1/2) (+ (* y x) z)) (+ (* y x) z) (+ (* (+ 1/2 y) x) z) (+ 1/2 y))
1.0ms	y	@	inf	((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (* x 1/2) (+ (* y x) z)) (+ (* y x) z) (+ (* (+ 1/2 y) x) z) (+ 1/2 y))
1.0ms	z	@	-inf	((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (* x 1/2) (+ (* y x) z)) (+ (* y x) z) (+ (* (+ 1/2 y) x) z) (+ 1/2 y))

simplify103.0ms (2.3%)

Memory

8.7MiB live, 83.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	167
1	309	167
2	812	167
3	2197	167
4	4262	167
5	7322	167
0	8085	144

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 31

Calls

Call 1

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

rewrite158.0ms (3.5%)

Memory

18.7MiB live, 203.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	38
0	23	37
1	130	34
2	1148	34
0	8335	34

Stop Event

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

Counts

6 → 425

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

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

eval46.0ms (1%)

Memory: -16.8MiB live, 67.9MiB allocated
Compiler: Compiled 7 613 to 852 computations (88.8% saved)

prune7.0ms (0.2%)

Memory

-22.3MiB live, 16.3MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	258	2	260
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	258	5	263

Accuracy

100.0%

Counts

263 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
✓	100.0%	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y x z))
✓	64.8%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
▶	59.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
▶	25.2%	#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))

Compiler

Compiled 61 to 50 computations (18% saved)

simplify4.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	59
0	21	59
1	31	59
2	40	59
3	43	59
0	43	55

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize34.0ms (0.8%)

Memory

16.8MiB live, 55.1MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y #s(literal -1/2 binary64))
accuracy	0.00390625	(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
accuracy	25.8219551951168	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	22.53945732782493	#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
accuracy	34.37303191999016	#s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))

Samples

26.0ms

256×

valid

Compiler

Compiled 100 to 35 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 7.0ms (42.6% of total)

ival-add: 5.0ms (30.4% of total)

ival-div: 2.0ms (12.2% of total)

ival-sub: 1.0ms (6.1% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

6 → 25

Calls

Call 1

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

Outputs
z
(+ z (* x (+ 1/2 y)))
(+ z (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 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)))
(+ 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) (+ (* 1/2 x) z) (* 1/2 x) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2))
1.0ms	x	@	inf	((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (* 1/2 x) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2))
1.0ms	x	@	0	((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (* 1/2 x) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2))
0.0ms	y	@	-inf	((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (* 1/2 x) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2))
0.0ms	y	@	inf	((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (* 1/2 x) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2))

simplify121.0ms (2.7%)

Memory

-30.6MiB live, 95.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	121
1	223	121
2	598	121
3	1742	121
4	3749	121
5	5747	121
6	7186	121
7	7995	121
0	8011	108

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 23

Calls

Call 1

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

rewrite189.0ms (4.2%)

Memory

14.7MiB live, 167.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	54
0	21	54
1	96	50
2	683	50
0	8516	46

Stop Event

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

Counts

6 → 186

Calls

Call 1

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

Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 x #s(literal 2 binary64))
(neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
(.f64 (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))))
(.f64 (/.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) x) (fma.f64 y y #s(literal -1/4 binary64))) (-.f64 y #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 #s(literal -1/2 binary64) y)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) x) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)) (.f64 y y)))))
(.f64 (/.f64 (.f64 x (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))))
(.f64 (/.f64 (.f64 x (fma.f64 y y #s(literal -1/4 binary64))) (fma.f64 y y #s(literal -1/4 binary64))) (-.f64 y #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 #s(literal -1/2 binary64) y)))
(.f64 (/.f64 (.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)) (.f64 y y)))))
(.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (.f64 (*.f64 x x) y) (-.f64 y #s(literal -1/2 binary64)))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) y) (-.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) y) (-.f64 y #s(literal 1/2 binary64)))))
(.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) y) (-.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 x x) y) (-.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) y) (-.f64 y #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))))
(.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))) (.f64 (-.f64 y #s(literal -1/2 binary64)) x))
(.f64 (/.f64 (.f64 (-.f64 y #s(literal -1/2 binary64)) x) x) (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/2 binary64) y)))
(.f64 (.f64 (fma.f64 y y #s(literal -1/4 binary64)) x) (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) x) (pow.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 y y #s(literal -1/4 binary64))) (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (pow.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 x x) (fma.f64 y y #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 y #s(literal 1/2 binary64)))))
(.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y))))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (.f64 (.f64 x x) y) (-.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))))
(.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y))))
(.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (.f64 (.f64 x x) y) (-.f64 y #s(literal 1/2 binary64)))))))
(.f64 (fma.f64 y y #s(literal -1/4 binary64)) (.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) x))
(.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal 1 binary64) (.f64 (-.f64 y #s(literal -1/2 binary64)) x))
(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) (.f64 (pow.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))) #s(literal -1 binary64)) x))
(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (.f64 (.f64 x x) y) (-.f64 y #s(literal 1/2 binary64)))) (.f64 (.f64 (-.f64 y #s(literal -1/2 binary64)) x) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (.f64 (*.f64 x x) y) (-.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) y)))))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (.f64 (.f64 x x) y) (-.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(.f64 (.f64 (-.f64 y #s(literal -1/2 binary64)) x) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) y))))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) y))) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 y y))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) y))) (+.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (.f64 (.f64 x x) y) (-.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (.f64 (.f64 x x) y) (-.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 x x) y) #s(literal 3 binary64)))))
(/.f64 (*.f64 (neg.f64 (fma.f64 y y #s(literal -1/4 binary64))) x) (-.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (neg.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 (*.f64 x (neg.f64 (fma.f64 y y #s(literal -1/4 binary64)))) (-.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 x (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 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (.f64 (.f64 x x) y) (-.f64 y #s(literal 1/2 binary64)))))
(/.f64 (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y))) #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y))) (fma.f64 (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y))) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) x) (-.f64 #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) x)) (-.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 (fma.f64 y y #s(literal -1/4 binary64)))) (-.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 (neg.f64 (.f64 (.f64 x x) (fma.f64 y y #s(literal -1/4 binary64)))) (neg.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y))))) (neg.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (.f64 (*.f64 x x) y) (-.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (pow.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) x) (-.f64 y #s(literal 1/2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) x) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (.f64 y #s(literal 1/2 binary64)))))
(/.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 (fma.f64 y y #s(literal -1/4 binary64))) (-.f64 y #s(literal 1/2 binary64)))
(/.f64 (.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (.f64 y #s(literal 1/2 binary64)))))
(/.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 x x) (fma.f64 y y #s(literal -1/4 binary64))) (*.f64 x (-.f64 y #s(literal 1/2 binary64))))
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(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -1/4 binary64))) (-.f64 y #s(literal -1/2 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 #s(literal -1/2 binary64) y)) (neg.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)) (.f64 y y)))) (neg.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))) #s(literal -1 binary64)) (neg.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 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (.f64 y #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 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 y #s(literal -1/2 binary64))
(+.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 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)))) (neg.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 1/2 binary64) y)
(+.f64 y #s(literal 1/2 binary64))

eval34.0ms (0.8%)

Memory: -1.4MiB live, 35.4MiB allocated
Compiler: Compiled 5 573 to 761 computations (86.3% saved)

prune5.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	192	1	193
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	192	6	198

Accuracy

100.0%

Counts

198 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
✓	100.0%	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y x z))
✓	64.8%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
✓	59.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
▶	36.9%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
✓	25.2%	#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))

Compiler

Compiled 74 to 60 computations (18.9% saved)

simplify4.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
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	10	18
0	11	18
1	16	18
2	23	18
3	25	18
0	25	17

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

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

localize24.0ms (0.5%)

Memory

-18.6MiB live, 31.0MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 y x)
accuracy	40.39090378068384	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Samples

19.0ms

256×

valid

Compiler

Compiled 34 to 20 computations (41.2% saved)

Precisions

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

ival-add: 3.0ms (44.1% of total)

ival-div: 2.0ms (29.4% of total)

ival-mult: 2.0ms (29.4% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

2 → 14

Calls

Call 1

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

Outputs
z
(+ z (* x (+ 1/2 y)))
(* x y)
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(+ (* 1/2 x) (* 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
0.0ms	x	@	-inf	((+ (+ (/ x 2) (* y x)) z) (* y x))
0.0ms	y	@	-inf	((+ (+ (/ x 2) (* y x)) z) (* y x))
0.0ms	x	@	inf	((+ (+ (/ x 2) (* y x)) z) (* y x))
0.0ms	x	@	0	((+ (+ (/ x 2) (* y x)) z) (* y x))
0.0ms	y	@	inf	((+ (+ (/ x 2) (* y x)) z) (* y x))

simplify155.0ms (3.5%)

Memory

4.0MiB live, 78.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	80
1	150	80
2	409	80
3	1168	80
4	3298	80
5	6024	80
0	8074	71

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 13

Calls

Call 1

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

rewrite182.0ms (4%)

Memory

5.3MiB live, 158.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
0	11	16
1	51	14
2	451	14
3	6073	14
0	8036	13

Stop Event

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

Counts

2 → 6

Calls

Call 1

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

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

eval1.0ms (0%)

Memory: 2.7MiB live, 2.7MiB allocated
Compiler: Compiled 146 to 31 computations (78.8% saved)

prune3.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	10	0	10
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	10	6	16

Accuracy

100.0%

Counts

16 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
✓	100.0%	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y x z))
✓	64.8%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
✓	59.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
✓	36.9%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
✓	25.2%	#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))

Compiler

Compiled 157 to 91 computations (42% saved)

regimes31.0ms (0.7%)

Memory

-7.5MiB live, 30.6MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

18.0ms	(+.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	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
100.0%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes75.0ms (1.7%)

Memory

-45.6MiB live, 68.4MiB allocated

Counts

4 → 3

Calls

Call 1

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

66.0ms	z
2.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
2.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
82.1%	3	`x`
87.5%	3	`y`
81.7%	3	`z`
76.8%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
87.6%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes4.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

#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))

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
87.5%	3	`y`
77.6%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes9.0ms (0.2%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	x
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	z
2.0ms	y

Results

Accuracy	Segments	Branch
40.8%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
40.7%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
36.9%	1	`z`
42.5%	3	`x`
58.8%	3	`y`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes20.0ms (0.4%)

Memory

-25.9MiB live, 11.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

14.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
1.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
1.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
25.2%	1	`z`
25.2%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
25.2%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
25.2%	1	`x`
25.2%	1	`y`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.790225359530487e+125	1.0770770099040171e+131
0.0ms	-4.493637601026512e+32	-2.6224354572157193e+22

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch24.0ms (0.5%)

Memory

31.4MiB live, 31.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.8182310008604168e+55	2.590665722922658e+58
11.0ms	-1.7710527642468916e+109	-1.3586382914609568e+105

Samples

12.0ms

256×

valid

Compiler

Compiled 444 to 382 computations (14% saved)

Precisions

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

ival-div: 2.0ms (31.5% of total)

ival-add: 2.0ms (31.5% of total)

ival-mult: 2.0ms (31.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch32.0ms (0.7%)

Memory

-16.3MiB live, 22.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	7420600498.645142	9739320643.556997
26.0ms	-2.788848994008304e+27	-47348215432.70451

Samples

22.0ms

208×

valid

Compiler

Compiled 428 to 365 computations (14.7% saved)

Precisions

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

ival-add: 14.0ms (81.4% of total)

ival-mult: 2.0ms (11.6% of total)

ival-div: 1.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify92.0ms (2%)

Memory

-14.3MiB live, 30.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	190
1	51	190
2	56	190
3	58	190
4	59	190

Stop Event

1×

saturated

Calls

Call 1

Inputs
(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 -400000000000000021464648817573888 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 499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 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 -1750000000000000124683386740458497801742217788597672737145492348276241745872095837602499421093058128231006208 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 270000000000000009569115433929078079667710628289132363776 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 -48000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 7500000000 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) #s(approx (+ (* 1/2 x) z) (.f64 #s(literal 1/2 binary64) x))) #s(approx (+ (+ (/ x 2) ( y x)) z) (*.f64 y x))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))

Outputs
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal -400000000000000021464648817573888 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 499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 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 (+.f64 (.f64 x y) (/.f64 x #s(literal 2 binary64))) #s(literal -400000000000000021464648817573888 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (if (<=.f64 (+.f64 (.f64 x y) (/.f64 x #s(literal 2 binary64))) #s(literal 499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 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 -1750000000000000124683386740458497801742217788597672737145492348276241745872095837602499421093058128231006208 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 270000000000000009569115433929078079667710628289132363776 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 -1750000000000000124683386740458497801742217788597672737145492348276241745872095837602499421093058128231006208 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 x y)) (if (<=.f64 y #s(literal 270000000000000009569115433929078079667710628289132363776 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 x y))))
(if (<=.f64 y #s(literal -48000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 7500000000 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) #s(approx (+ (* 1/2 x) z) (.f64 #s(literal 1/2 binary64) x))) #s(approx (+ (+ (/ x 2) ( y x)) z) (*.f64 y x))))
(if (<=.f64 y #s(literal -48000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 x y)) (if (<=.f64 y #s(literal 7500000000 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) #s(approx (+ (* 1/2 x) z) (.f64 x #s(literal 1/2 binary64)))) #s(approx (+ (+ (/ x 2) ( y x)) z) (*.f64 x y))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 x #s(literal 1/2 binary64))))

soundness898.0ms (20%)

Memory

9.3MiB live, 439.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
0	12	22
1	52	18
2	452	18
3	6077	18
0	8040	17
0	72	121
1	223	121
2	598	121
3	1742	121
4	3749	121
5	5747	121
6	7186	121
7	7995	121
0	8011	108
0	93	167
1	309	167
2	812	167
3	2197	167
4	4262	167
5	7322	167
0	8085	144
0	57	93
1	174	93
2	488	93
3	1315	93
4	3636	93
5	6712	93
0	8253	84

Stop Event

1×	done
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 244 to 118 computations (51.6% saved)

preprocess73.0ms (1.6%)

Memory: -3.2MiB live, 45.6MiB allocated
Compiler: Compiled 398 to 108 computations (72.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (32.8%)

explain224.0ms (5%)

preprocess73.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize19.0ms (0.4%)

series6.0ms (0.1%)

simplify97.0ms (2.2%)

rewrite184.0ms (4.1%)

eval27.0ms (0.6%)

prune4.0ms (0.1%)

simplify5.0ms (0.1%)

localize38.0ms (0.8%)

series5.0ms (0.1%)

simplify103.0ms (2.3%)

rewrite158.0ms (3.5%)

eval46.0ms (1%)

prune7.0ms (0.2%)

simplify4.0ms (0.1%)

localize34.0ms (0.8%)

series4.0ms (0.1%)

simplify121.0ms (2.7%)

rewrite189.0ms (4.2%)

eval34.0ms (0.8%)

prune5.0ms (0.1%)

simplify4.0ms (0.1%)

localize24.0ms (0.5%)

series3.0ms (0.1%)

simplify155.0ms (3.5%)

rewrite182.0ms (4%)

eval1.0ms (0%)

prune3.0ms (0.1%)

regimes31.0ms (0.7%)

regimes75.0ms (1.7%)

regimes4.0ms (0.1%)

regimes9.0ms (0.2%)

regimes20.0ms (0.4%)

bsearch1.0ms (0%)

bsearch24.0ms (0.5%)

bsearch32.0ms (0.7%)

simplify92.0ms (2%)

soundness898.0ms (20%)

preprocess73.0ms (1.6%)

end0.0ms (0%)

Profiling