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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample532.0ms (18.1%)

Memory

8.8MiB live, 206.3MiB allocated

Samples

333.0ms	8 252×	0	valid
0.0ms	2×	2	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 178.0ms

ival-add: 64.0ms (36% of total)

ival-div: 52.0ms (29.3% of total)

ival-mult: 51.0ms (28.7% of total)

ival-true: 5.0ms (2.8% of total)

exact: 4.0ms (2.3% of total)

ival-assert: 2.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain72.0ms (2.4%)

Memory

-11.6MiB live, 40.7MiB 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

Total Time

14.07421875

Average Time

0.0549774169921875

Samples

24.0ms	510×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 91 to 36 computations (60.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-add: 4.0ms (35.7% of total)

ival-div: 3.0ms (26.7% of total)

ival-mult: 3.0ms (26.7% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

preprocess65.0ms (2.2%)

Memory

-1.4MiB live, 6.2MiB 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: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize20.0ms (0.7%)

Memory

-0.5MiB live, 7.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x #s(literal 2 binary64))
accuracy	0	(*.f64 y x)
accuracy	0.00390625	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
accuracy	0.010966230164287516	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))

Samples

15.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 54 to 18 computations (66.7% saved)

Precisions

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

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

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

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

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

2.8MiB live, 2.8MiB 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))

simplify88.0ms (3%)

Memory

-2.2MiB live, 18.8MiB 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)

rewrite154.0ms (5.2%)

Memory

0.5MiB live, 48.6MiB 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))
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(fma.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))))) z)
(fma.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))) z)
(fma.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) z)
(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)

eval25.0ms (0.8%)

Memory: 6.2MiB live, 20.9MiB allocated
Compiler: Compiled 5 823 to 755 computations (87% saved)

prune6.0ms (0.2%)

Memory

-9.1MiB live, 9.4MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	243	4	247
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	244	4	248

Accuracy

100.0%

Counts

248 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.9%	(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))
▶	100.0%	(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
▶	100.0%	(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
▶	64.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))

Compiler

Compiled 42 to 32 computations (23.8% saved)

simplify5.0ms (0.2%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y x z)
cost-diff	0	(/.f64 #s(literal 2 binary64) x)
cost-diff	0	(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))
cost-diff	14528	(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))
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 #s(literal 1/2 binary64) x z)
cost-diff	192	(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) 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	19	81
0	30	73
1	49	70
2	67	70
3	75	70
0	75	70

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

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

localize44.0ms (1.5%)

Memory

3.8MiB live, 18.8MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y x z)
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.08203125	(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))
accuracy	0.10080998016428752	(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))
accuracy	0	(+.f64 #s(literal 1/2 binary64) y)
accuracy	0.0078125	(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
accuracy	0	(fma.f64 #s(literal 1/2 binary64) x z)
accuracy	0.00390625	(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) x z)
accuracy	9.742172635495388	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))

Samples

17.0ms	138×	0	invalid
16.0ms	117×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 167 to 43 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-add: 8.0ms (38.5% of total)

ival-mult: 6.0ms (28.9% of total)

ival-div: 4.0ms (19.2% of total)

ival-pow: 3.0ms (14.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.4%)

Memory

-3.7MiB live, 5.5MiB allocated

Counts

9 → 48

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

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

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (* y x) (+ (* 1/2 x) z)) (+ (* (+ 1/2 y) x) z) (+ 1/2 y) (+ (* (pow (/ 2 x) -1/2) (pow (/ 2 x) -1/2)) (+ (* y x) z)) (pow (/ 2 x) -1/2) (/ 2 x) (+ (* y x) z))
2.0ms	y	@	-inf	((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (* y x) (+ (* 1/2 x) z)) (+ (* (+ 1/2 y) x) z) (+ 1/2 y) (+ (* (pow (/ 2 x) -1/2) (pow (/ 2 x) -1/2)) (+ (* y x) z)) (pow (/ 2 x) -1/2) (/ 2 x) (+ (* y x) z))
2.0ms	x	@	0	((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (* y x) (+ (* 1/2 x) z)) (+ (* (+ 1/2 y) x) z) (+ 1/2 y) (+ (* (pow (/ 2 x) -1/2) (pow (/ 2 x) -1/2)) (+ (* y x) z)) (pow (/ 2 x) -1/2) (/ 2 x) (+ (* y x) z))
1.0ms	x	@	inf	((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (* y x) (+ (* 1/2 x) z)) (+ (* (+ 1/2 y) x) z) (+ 1/2 y) (+ (* (pow (/ 2 x) -1/2) (pow (/ 2 x) -1/2)) (+ (* y x) z)) (pow (/ 2 x) -1/2) (/ 2 x) (+ (* y x) z))
1.0ms	y	@	inf	((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (* y x) (+ (* 1/2 x) z)) (+ (* (+ 1/2 y) x) z) (+ 1/2 y) (+ (* (pow (/ 2 x) -1/2) (pow (/ 2 x) -1/2)) (+ (* y x) z)) (pow (/ 2 x) -1/2) (/ 2 x) (+ (* y x) z))

simplify94.0ms (3.2%)

Memory

0.8MiB live, 22.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	260
1	449	260
2	1240	260
3	2775	260
4	4987	260
0	8067	228

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

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

rewrite153.0ms (5.2%)

Memory

5.5MiB live, 60.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	61
0	30	52
1	167	48
2	1440	48
0	8058	48

Stop Event

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

Counts

9 → 785

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

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

eval47.0ms (1.6%)

Memory: -1.9MiB live, 36.9MiB allocated
Compiler: Compiled 12 173 to 1 298 computations (89.3% saved)

prune8.0ms (0.3%)

Memory

-0.7MiB live, 17.9MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	467	4	471
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	469	6	475

Accuracy

100.0%

Counts

475 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.0%	(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (fma.f64 y x z))
✓	100.0%	(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
▶	62.8%	(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
✓	64.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
▶	62.8%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
▶	27.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))

Compiler

Compiled 81 to 66 computations (18.5% saved)

simplify5.0ms (0.2%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 2 binary64) x)
cost-diff	0	(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (fma.f64 y x z))
cost-diff	5824	(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
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	(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
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	24	127
0	34	123
1	50	123
2	65	123
3	69	123
0	69	119

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

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

localize47.0ms (1.6%)

Memory

-2.8MiB live, 20.2MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.08203125	(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))
accuracy	0.10080998016428752	(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (fma.f64 y x z))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.00390625	(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
accuracy	13.323460629199857	#s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0	(-.f64 y #s(literal -1/2 binary64))
accuracy	0.00390625	(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
accuracy	10.256769226624272	#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	9.742172635495388	#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
accuracy	13.323460629199857	#s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))

Samples

17.0ms	117×	0	valid
16.0ms	138×	0	invalid
0.0ms	1×	1	valid

Compiler

Compiled 232 to 49 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-add: 6.0ms (29.5% of total)

ival-mult: 5.0ms (24.6% of total)

ival-div: 3.0ms (14.8% of total)

ival-pow: 3.0ms (14.8% of total)

ival-sqrt: 2.0ms (9.8% of total)

ival-sub: 1.0ms (4.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.3%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

11 → 40

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

Outputs
z
(+ z (* x (+ 1/2 y)))
(+ z (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 y))
(* (sqrt x) (sqrt 1/2))
(+ z (* x (+ y (pow (sqrt 1/2) 2))))
(/ 2 x)
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (/ z x)))
(* x (+ y (pow (sqrt 1/2) 2)))
(* x (+ y (+ (/ z x) (pow (sqrt 1/2) 2))))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt -1/2))))
(* -1 (* x (+ (* -1 y) (pow (sqrt -1/2) 2))))
(* -1 (* x (+ (* -1 y) (+ (* -1 (/ z x)) (pow (sqrt -1/2) 2)))))
(+ z (+ (* 1/2 x) (* x y)))
(+ (* 1/2 x) (* x y))
1/2
(+ 1/2 y)
(+ z (* x (pow (sqrt 1/2) 2)))
(+ z (+ (* x y) (* x (pow (sqrt 1/2) 2))))
(* x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (* 1/2 (/ x y))))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ x (+ (/ z y) (/ (* x (pow (sqrt 1/2) 2)) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* x (pow (sqrt 1/2) 2))) y)))))
(+ (* x y) (* x (pow (sqrt 1/2) 2)))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (* 1/2 (/ x z))))
(* z (+ 1 (+ (/ (* x y) z) (/ (* x (pow (sqrt 1/2) 2)) z))))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* x y) (* x (pow (sqrt 1/2) 2))) 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) (+ (* y x) (+ (* 1/2 x) z)) (pow (* 1/2 x) 1/2) (+ (* (pow (/ 2 x) -1/2) (pow (* 1/2 x) 1/2)) (+ (* y x) z)) (pow (/ 2 x) -1/2) (/ 2 x))
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) (+ (* y x) (+ (* 1/2 x) z)) (pow (* 1/2 x) 1/2) (+ (* (pow (/ 2 x) -1/2) (pow (* 1/2 x) 1/2)) (+ (* y x) z)) (pow (/ 2 x) -1/2) (/ 2 x))
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) (+ (* y x) (+ (* 1/2 x) z)) (pow (* 1/2 x) 1/2) (+ (* (pow (/ 2 x) -1/2) (pow (* 1/2 x) 1/2)) (+ (* y x) z)) (pow (/ 2 x) -1/2) (/ 2 x))
1.0ms	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) (+ (* y x) (+ (* 1/2 x) z)) (pow (* 1/2 x) 1/2) (+ (* (pow (/ 2 x) -1/2) (pow (* 1/2 x) 1/2)) (+ (* y x) z)) (pow (/ 2 x) -1/2) (/ 2 x))
1.0ms	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) (+ (* y x) (+ (* 1/2 x) z)) (pow (* 1/2 x) 1/2) (+ (* (pow (/ 2 x) -1/2) (pow (* 1/2 x) 1/2)) (+ (* y x) z)) (pow (/ 2 x) -1/2) (/ 2 x))

simplify92.0ms (3.1%)

Memory

-1.9MiB live, 19.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	214
1	368	214
2	1036	214
3	2358	214
4	4674	214
5	7035	214
0	8072	192

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 38

Calls

Call 1

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

rewrite151.0ms (5.1%)

Memory

3.5MiB live, 53.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	94
0	34	89
1	165	87
2	1253	80
0	8580	74

Stop Event

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

Counts

11 → 457

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))
(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (fma.f64 y x z))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 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 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 1/2 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64)) (sqrt.f64 (*.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 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(*.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 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 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 (neg.f64 (neg.f64 (neg.f64 x))) #s(literal -2 binary64))
(/.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 #s(literal -2 binary64))))
(/.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.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) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 x #s(literal 2 binary64))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64) (.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (*.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 (.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 (pow.f64 (/.f64 #s(literal 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)))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 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)))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
(*.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 (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 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 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 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 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 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) x)) (neg.f64 (+.f64 #s(literal -1/2 binary64) y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) x)) (neg.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 y y #s(literal -1/4 binary64)))) (neg.f64 (+.f64 #s(literal -1/2 binary64) y)))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)))) (neg.f64 (-.f64 (.f64 y x) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.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)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal 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 #s(literal -1/2 binary64) y))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) x) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 #s(literal -1/2 binary64) y))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64))) (-.f64 (.f64 y x) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) y) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (neg.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))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (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)) #s(literal -1/8 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (*.f64 x (fma.f64 y y #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))) (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) x)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) x))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) y) x))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (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)))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 1/2 binary64))) (*.f64 y x))
(fma.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 x)) (*.f64 y x))
(fma.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (*.f64 y x))
(fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 y x))
(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 x) (*.f64 y x))
(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) x))) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 y x))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 y x))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 1/2 binary64) x))) (*.f64 y x))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 y x))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (*.f64 y x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 y x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y x))
(fma.f64 y x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y x))
(fma.f64 x y (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) (-.f64 (.f64 y x) (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y x))
(+.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) x))
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (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 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) y)) (/.f64 (.f64 y y) (+.f64 #s(literal -1/2 binary64) y)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) y)) (.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))))))
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eval51.0ms (1.7%)

Memory: 4.0MiB live, 41.2MiB allocated
Compiler: Compiled 12 802 to 1 529 computations (88.1% saved)

prune10.0ms (0.3%)

Memory

-5.3MiB live, 19.7MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	509	2	511
Fresh	0	0	0
Picked	1	3	4
Done	0	2	2
Total	510	7	517

Accuracy

100.0%

Counts

517 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
▶	45.9%	(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (fma.f64 y x z))
✓	62.8%	(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
✓	64.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
✓	62.8%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
▶	37.1%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
✓	27.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))

Compiler

Compiled 92 to 72 computations (21.7% saved)

simplify4.0ms (0.2%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y x z)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff	2112	(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (fma.f64 y x z))
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	15	46
0	21	40
1	31	39
2	47	39
3	53	39
0	53	38

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

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

localize28.0ms (1%)

Memory

-2.6MiB live, 12.4MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y x z)
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.10080998016428752	(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (fma.f64 y x z))
accuracy	0	(*.f64 y x)
accuracy	19.24771386304914	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Samples

11.0ms	138×	0	invalid
10.0ms	117×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 93 to 31 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-add: 4.0ms (33.2% of total)

ival-mult: 4.0ms (33.2% of total)

ival-div: 2.0ms (16.6% of total)

ival-sqrt: 2.0ms (16.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

6 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

simplify92.0ms (3.1%)

Memory

3.6MiB live, 19.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	208
1	355	208
2	1017	208
3	2080	208
4	4539	208
5	6790	208
0	8170	183

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 35

Calls

Call 1

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

rewrite135.0ms (4.6%)

Memory

-8.3MiB live, 50.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	40
0	21	34
1	96	32
2	860	32
0	8248	30

Stop Event

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

Counts

6 → 323

Calls

Call 1

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

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

eval42.0ms (1.4%)

Memory: 2.6MiB live, 32.6MiB allocated
Compiler: Compiled 10 184 to 1 195 computations (88.3% saved)

prune8.0ms (0.3%)

Memory

2.5MiB live, 18.4MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	450	0	450
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	450	7	457

Accuracy

100.0%

Counts

457 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
✓	45.9%	(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (fma.f64 y x z))
✓	62.8%	(fma.f64 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
✓	64.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
✓	62.8%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
✓	37.1%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
✓	27.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))

Compiler

Compiled 230 to 111 computations (51.7% saved)

regimes19.0ms (0.6%)

Memory

-6.0MiB live, 11.6MiB allocated

Counts

11 → 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 y x #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (fma.f64 y x z))
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (fma.f64 y 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))

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

Calls

5 calls:

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

regimes13.0ms (0.4%)

Memory

1.6MiB live, 9.6MiB allocated

Counts

6 → 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 y x #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)

Calls

5 calls:

3.0ms	x
3.0ms	z
2.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
2.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
2.0ms	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)

regimes11.0ms (0.4%)

Memory

1.0MiB live, 8.9MiB 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:

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

Results

Accuracy	Segments	Branch
81.4%	3	`x`
87.6%	3	`y`
82.0%	3	`z`
77.7%	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

3.5MiB live, 3.5MiB 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
87.0%	3	`y`
77.7%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes8.0ms (0.3%)

Memory

-0.1MiB live, 7.9MiB 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	z
1.0ms	x
1.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
1.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
1.0ms	y

Results

Accuracy	Segments	Branch
44.7%	5	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
44.7%	5	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
40.3%	2	`x`
38.8%	2	`z`
61.7%	3	`y`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes16.0ms (0.5%)

Memory

-3.9MiB live, 7.5MiB 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:

10.0ms	x
1.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
1.0ms	y
1.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
1.0ms	z

Results

Accuracy	Segments	Branch
27.7%	1	`z`
27.7%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
27.7%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
27.7%	1	`x`
27.7%	1	`y`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.503280807437623e-14	828356.761140877
0.0ms	-1.1541302589795882e+170	-3.08461179084543e+165

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch26.0ms (0.9%)

Memory

1.1MiB live, 8.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.85688735725315e+45	4.922411698357348e+53
12.0ms	-2.394548536773447e+24	-8538487328193.651

Samples

13.0ms

304×

valid

Compiler

Compiled 525 to 451 computations (14.1% saved)

Precisions

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

ival-div: 2.0ms (30.7% of total)

ival-add: 2.0ms (30.7% of total)

ival-mult: 2.0ms (30.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.7%)

Memory

-0.6MiB live, 7.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.4507884401760887e-11	462903876818724.3
5.0ms	-0.8238265327399078	-0.4685430610010901

Samples

10.0ms

240×

valid

Compiler

Compiled 492 to 419 computations (14.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 2.0ms (39.3% of total)

ival-div: 1.0ms (19.7% of total)

ival-mult: 1.0ms (19.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify22.0ms (0.8%)

Memory

-5.5MiB live, 18.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	197
1	50	197
2	55	197
3	57	197
4	58	197

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal -100000000000000003441905430931245280917713770297417747470693647675065097962631447553892265814744827318497179085147422915077831721209019419643357959500300321574675254607872 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 3961408125713217/79228162514264337593543950336 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 -1550000000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 1349999999999999957617580815765300945628129889615872 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))
(if (<=.f64 y #s(literal -1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 1/2 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) #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 y x (fma.f64 #s(literal 1/2 binary64) x z))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal -100000000000000003441905430931245280917713770297417747470693647675065097962631447553892265814744827318497179085147422915077831721209019419643357959500300321574675254607872 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 3961408125713217/79228162514264337593543950336 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 -100000000000000003441905430931245280917713770297417747470693647675065097962631447553892265814744827318497179085147422915077831721209019419643357959500300321574675254607872 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 3961408125713217/79228162514264337593543950336 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 -1550000000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 1349999999999999957617580815765300945628129889615872 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 -1550000000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 x y)) (if (<=.f64 y #s(literal 1349999999999999957617580815765300945628129889615872 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 -1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 1/2 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) #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 -1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 x y)) (if (<=.f64 y #s(literal 1/2 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 x y))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))

soundness732.0ms (24.8%)

Memory

4.6MiB live, 4.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	260
1	449	260
2	1240	260
3	2775	260
4	4987	260
0	8067	228
0	57	93
1	174	93
2	488	93
3	1315	93
4	3636	93
5	6712	93
0	8253	84
0	8	22
0	12	22
1	52	18
2	452	18
3	6077	18
0	8040	17
0	119	214
1	368	214
2	1036	214
3	2358	214
4	4674	214
5	7035	214
0	8072	192

Stop Event

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

Compiler

Compiled 267 to 128 computations (52.1% saved)

preprocess65.0ms (2.2%)

Memory: 0.1MiB live, 22.9MiB allocated
Compiler: Compiled 412 to 106 computations (74.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample532.0ms (18.1%)

explain72.0ms (2.4%)

preprocess65.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize20.0ms (0.7%)

series6.0ms (0.2%)

simplify88.0ms (3%)

rewrite154.0ms (5.2%)

eval25.0ms (0.8%)

prune6.0ms (0.2%)

simplify5.0ms (0.2%)

localize44.0ms (1.5%)

series12.0ms (0.4%)

simplify94.0ms (3.2%)

rewrite153.0ms (5.2%)

eval47.0ms (1.6%)

prune8.0ms (0.3%)

simplify5.0ms (0.2%)

localize47.0ms (1.6%)

series8.0ms (0.3%)

simplify92.0ms (3.1%)

rewrite151.0ms (5.1%)

eval51.0ms (1.7%)

prune10.0ms (0.3%)

simplify4.0ms (0.2%)

localize28.0ms (1%)

series6.0ms (0.2%)

simplify92.0ms (3.1%)

rewrite135.0ms (4.6%)

eval42.0ms (1.4%)

prune8.0ms (0.3%)

regimes19.0ms (0.6%)

regimes13.0ms (0.4%)

regimes11.0ms (0.4%)

regimes4.0ms (0.1%)

regimes8.0ms (0.3%)

regimes16.0ms (0.5%)

bsearch1.0ms (0%)

bsearch26.0ms (0.9%)

bsearch20.0ms (0.7%)

simplify22.0ms (0.8%)

soundness732.0ms (24.8%)

preprocess65.0ms (2.2%)

end0.0ms (0%)

Profiling