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

1.2MiB live, 1.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.7s (34.8%)

Memory

11.9MiB live, 764.9MiB allocated

Samples

1.3s	8 252×	0	valid
0.0ms	2×	2	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 621.0ms

ival-mult: 361.0ms (58.1% of total)

ival-add: 183.0ms (29.5% of total)

ival-div: 64.0ms (10.3% of total)

ival-true: 5.0ms (0.8% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain85.0ms (1.7%)

Memory

-2.4MiB live, 95.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

36.0ms	510×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-add: 7.0ms (47.9% of total)

ival-mult: 4.0ms (27.4% of total)

ival-div: 3.0ms (20.5% 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)

preprocess23.0ms (0.4%)

Memory

4.4MiB live, 35.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

simplify5.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.4%)

Memory

-21.7MiB live, 44.6MiB allocated

Localize:

Found 4 expressions of interest:

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

16.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

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

ival-add: 4.0ms (53.7% of total)

ival-div: 2.0ms (26.8% of total)

ival-mult: 2.0ms (26.8% 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 (0.1%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

4 → 17

Calls

Call 1

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

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

Calls

9 calls:

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

simplify99.0ms (2%)

Memory

-21.0MiB live, 103.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 16

Calls

Call 1

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

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

rewrite186.0ms (3.7%)

Memory

18.2MiB live, 142.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 158

Calls

Call 1

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

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

eval19.0ms (0.4%)

Memory: 12.1MiB live, 42.5MiB allocated
Compiler: Compiled 6 613 to 573 computations (91.3% saved)

prune3.0ms (0.1%)

Memory

-20.9MiB live, 10.2MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Accuracy

100.0%

Counts

164 → 3

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

100.0%

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

▶

100.0%

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

▶

64.7%

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

Compiler

Compiled 43 to 34 computations (20.9% saved)

simplify10.0ms (0.2%)

Memory

16.6MiB live, 16.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize33.0ms (0.7%)

Memory

-1.8MiB live, 36.1MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.0	#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.00390625	(+.f64 (+.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x)) (.f64 y x)) z)
accuracy	0.010966230164287516	(+.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x)) (.f64 y x))
accuracy	0.0	(+.f64 #s(literal 1/2 binary64) y)
accuracy	0.0	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
accuracy	0.0078125	(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) x z)
accuracy	22.610403539935128	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))

Samples

25.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 71 to 16 computations (77.5% saved)

Precisions

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

ival-add: 5.0ms (39.8% of total)

ival-mult: 5.0ms (39.8% of total)

ival-div: 2.0ms (15.9% 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)

series7.0ms (0.1%)

Memory

-25.4MiB live, 5.7MiB allocated

Counts

9 → 28

Calls

Call 1

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

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

Calls

9 calls:

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

simplify97.0ms (1.9%)

Memory

29.2MiB live, 58.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	159
1	288	157
2	855	157
3	3166	157
4	6621	157
0	8102	144

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 26

Calls

Call 1

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

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

rewrite161.0ms (3.2%)

Memory

-16.5MiB live, 105.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	77
0	27	77
1	129	77
2	1041	77
0	8219	73

Stop Event

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

Counts

9 → 189

Calls

Call 1

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

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

eval24.0ms (0.5%)

Memory: 0.3MiB live, 29.7MiB allocated
Compiler: Compiled 8 994 to 802 computations (91.1% saved)

prune4.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	197	3	200
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	198	5	203

Accuracy

100.0%

Counts

203 → 5

Alt Table

Click to see full alt table

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

Compiler

Compiled 70 to 55 computations (21.4% saved)

simplify7.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z)
cost-diff	0	(fma.f64 y x (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z))
cost-diff	0	(-.f64 y #s(literal -1/2 binary64))
cost-diff	0	(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
cost-diff	0	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
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	19	79
0	25	79
1	41	79
2	69	79
3	94	79
4	120	79
5	130	79
6	146	79
7	159	79
8	164	79
0	164	77

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize49.0ms (1%)

Memory

1.0MiB live, 36.6MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.0	#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.00390625	(fma.f64 y x (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z))
accuracy	0.0	(-.f64 y #s(literal -1/2 binary64))
accuracy	0.00390625	(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
accuracy	23.784766819592786	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
accuracy	0.0	(*.f64 y x)
accuracy	40.271154365359656	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Samples

27.0ms	255×	0	valid
14.0ms	1×	1	valid

Compiler

Compiled 60 to 17 computations (71.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 18.0ms (70.3% of total)

ival-add: 4.0ms (15.6% of total)

ival-div: 2.0ms (7.8% of total)

ival-sub: 1.0ms (3.9% 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)

series5.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

9 → 25

Calls

Call 1

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

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

Calls

9 calls:

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

simplify102.0ms (2%)

Memory

-16.8MiB live, 74.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	136
1	244	136
2	726	135
3	2746	135
4	6087	135
0	8237	125

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 23

Calls

Call 1

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

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

rewrite190.0ms (3.8%)

Memory

-21.1MiB live, 101.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	70
0	25	70
1	104	70
2	794	70
0	8197	68

Stop Event

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

Counts

9 → 108

Calls

Call 1

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

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

eval13.0ms (0.3%)

Memory: 11.6MiB live, 11.6MiB allocated
Compiler: Compiled 5 287 to 461 computations (91.3% saved)

prune5.0ms (0.1%)

Memory

-25.6MiB live, 6.0MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	114	3	117
Fresh	0	0	0
Picked	1	2	3
Done	0	2	2
Total	115	7	122

Accuracy

100.0%

Counts

122 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y x #s(approx (+ (/ x 2) z) (fma.f64 #s(literal 1/2 binary64) x z)))
▶	89.0%	(fma.f64 y x #s(approx (+ (/ x 2) z) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) #s(literal 1/2 binary64)))))
✓	100.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
✓	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) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
✓	37.1%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Compiler

Compiled 106 to 83 computations (21.7% saved)

simplify10.0ms (0.2%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	122
0	35	122
1	56	122
2	87	122
3	118	122
4	149	122
5	163	122
6	183	122
7	201	122
8	222	122
9	243	122
10	245	122
0	245	121

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize57.0ms (1.1%)

Memory

8.0MiB live, 44.5MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y x #s(approx (+ (/ x 2) z) (fma.f64 #s(literal 1/2 binary64) x z)))
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) x z)
accuracy	0.0	#s(approx (+ (/ x 2) z) (fma.f64 #s(literal 1/2 binary64) x z))
accuracy	0.0	(neg.f64 z)
accuracy	0.0	(neg.f64 x)
accuracy	0.0	#s(approx (+ (/ x 2) z) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) #s(literal 1/2 binary64))))
accuracy	7.059326166454958	(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) #s(literal 1/2 binary64)))
accuracy	0.00390625	(*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)
accuracy	23.53573660365679	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
accuracy	30.589641693526815	#s(approx (- y -1/2) #s(literal 1/2 binary64))

Samples

32.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 85 to 23 computations (72.9% saved)

Precisions

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

ival-mult: 6.0ms (28.7% of total)

ival-div: 5.0ms (23.9% of total)

ival-add: 5.0ms (23.9% of total)

ival-sub: 2.0ms (9.6% of total)

ival-neg: 2.0ms (9.6% 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)

series8.0ms (0.2%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

11 → 27

Calls

Call 1

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

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

Calls

9 calls:

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

simplify95.0ms (1.9%)

Memory

-9.7MiB live, 49.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	140
1	246	140
2	720	139
3	2762	139
4	6052	139
0	8220	129

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 25

Calls

Call 1

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

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

rewrite180.0ms (3.6%)

Memory

13.1MiB live, 103.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	102
0	35	102
1	151	102
2	1083	102
0	8349	101

Stop Event

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

Counts

11 → 119

Calls

Call 1

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

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

eval15.0ms (0.3%)

Memory: 17.4MiB live, 17.4MiB allocated
Compiler: Compiled 7 316 to 523 computations (92.9% saved)

prune17.0ms (0.3%)

Memory

-23.4MiB live, 7.4MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	130	7	137

Accuracy

100.0%

Counts

137 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.0%	(fma.f64 y x #s(approx (+ (/ x 2) z) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) #s(literal 1/2 binary64)))))
	62.8%	(fma.f64 y x #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)))
✓	100.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
✓	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) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
✓	37.1%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Compiler

Compiled 257 to 130 computations (49.4% saved)

regimes17.0ms (0.3%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes12.0ms (0.2%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes10.0ms (0.2%)

Memory

-18.5MiB live, 12.6MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
87.6%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
77.7%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
81.4%	3	`x`
87.6%	3	`y`
82.0%	3	`z`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes3.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

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)

regimes7.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

5 calls:

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

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)

regimes10.0ms (0.2%)

Memory

-29.8MiB live, 10.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	z
1.0ms	y
1.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
1.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
1.0ms	x

Results

Accuracy	Segments	Branch
37.1%	1	`z`
37.1%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
37.1%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
37.1%	1	`x`
37.1%	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)

bsearch27.0ms (0.5%)

Memory

24.1MiB live, 24.1MiB 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
13.0ms	-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 (29.5% of total)

ival-add: 2.0ms (29.5% of total)

ival-mult: 2.0ms (29.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.5%)

Memory

-2.5MiB live, 25.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.4507884401760887e-11	462903876818724.3
5.0ms	-0.8238265327399078	-0.4685430610010901

Samples

13.0ms

240×

valid

Compiler

Compiled 462 to 404 computations (12.6% saved)

Precisions

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

ival-div: 2.0ms (36.6% of total)

ival-add: 2.0ms (36.6% of total)

ival-mult: 1.0ms (18.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify42.0ms (0.8%)

Memory

-6.4MiB live, 24.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(fma.f64 y x #s(approx (+ (/ x 2) z) (fma.f64 #s(literal 1/2 binary64) x z)))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal -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 (or (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal -100000000000000003441905430931245280917713770297417747470693647675065097962631447553892265814744827318497179085147422915077831721209019419643357959500300321574675254607872 binary64)) (not (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal 3961408125713217/79228162514264337593543950336 binary64)))) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 (-.f64 y #s(literal -1/2 binary64)) x)) #s(approx (+ (+ (/ x 2) ( y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)))
(if (<=.f64 y #s(literal -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 (or (<=.f64 y #s(literal -1550000000000000000 binary64)) (not (<=.f64 y #s(literal 1349999999999999957617580815765300945628129889615872 binary64)))) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) #s(approx (+ (+ (/ x 2) ( y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)))
(if (<=.f64 y #s(literal -1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 1/2 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) #s(approx (+ (+ (/ x 2) ( y x)) z) (*.f64 y x))))
(if (or (<=.f64 y #s(literal -1/2 binary64)) (not (<=.f64 y #s(literal 1/2 binary64)))) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) #s(approx (+ (+ (/ x 2) ( y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)))
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

soundness1.5s (30.4%)

Memory

8.9MiB live, 300.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	159
1	288	157
2	855	157
3	3166	157
4	6621	157
0	8102	144
0	72	136
1	244	136
2	726	135
3	2746	135
4	6087	135
0	8237	125
0	57	93
1	194	93
2	606	93
3	2298	93
4	5350	93
0	8507	84
0	19	77
0	27	77
1	129	77
2	1041	77
0	8219	73

Stop Event

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

Compiler

Compiled 264 to 147 computations (44.3% saved)

preprocess61.0ms (1.2%)

Memory: -22.4MiB live, 43.8MiB allocated
Compiler: Compiled 352 to 116 computations (67% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

Iter	Nodes	Cost
0	19	79
0	25	79
1	41	79
2	69	79
3	94	79
4	120	79
5	130	79
6	146	79
7	159	79
8	164	79
0	164	77

Iter	Nodes	Cost
0	25	122
0	35	122
1	56	122
2	87	122
3	118	122
4	149	122
5	163	122
6	183	122
7	201	122
8	222	122
9	243	122
10	245	122
0	245	121

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

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

Iter	Nodes	Cost
0	19	79
0	25	79
1	41	79
2	69	79
3	94	79
4	120	79
5	130	79
6	146	79
7	159	79
8	164	79
0	164	77

Iter	Nodes	Cost
0	25	122
0	35	122
1	56	122
2	87	122
3	118	122
4	149	122
5	163	122
6	183	122
7	201	122
8	222	122
9	243	122
10	245	122
0	245	121

start0.0ms (0%)

analyze0.0ms (0%)

sample1.7s (34.8%)

explain85.0ms (1.7%)

preprocess23.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize22.0ms (0.4%)

series6.0ms (0.1%)

simplify99.0ms (2%)

rewrite186.0ms (3.7%)

eval19.0ms (0.4%)

prune3.0ms (0.1%)

simplify10.0ms (0.2%)

localize33.0ms (0.7%)

series7.0ms (0.1%)

simplify97.0ms (1.9%)

rewrite161.0ms (3.2%)

eval24.0ms (0.5%)

prune4.0ms (0.1%)

simplify7.0ms (0.1%)

localize49.0ms (1%)

series5.0ms (0.1%)

simplify102.0ms (2%)

rewrite190.0ms (3.8%)

eval13.0ms (0.3%)

prune5.0ms (0.1%)

simplify10.0ms (0.2%)

localize57.0ms (1.1%)

series8.0ms (0.2%)

simplify95.0ms (1.9%)

rewrite180.0ms (3.6%)

eval15.0ms (0.3%)

prune17.0ms (0.3%)

regimes17.0ms (0.3%)

regimes12.0ms (0.2%)

regimes10.0ms (0.2%)

regimes3.0ms (0.1%)

regimes7.0ms (0.1%)

regimes10.0ms (0.2%)

bsearch1.0ms (0%)

bsearch27.0ms (0.5%)

bsearch24.0ms (0.5%)

simplify42.0ms (0.8%)

soundness1.5s (30.4%)

preprocess61.0ms (1.2%)

end0.0ms (0%)

Profiling

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

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

Iter	Nodes	Cost
0	19	79
0	25	79
1	41	79
2	69	79
3	94	79
4	120	79
5	130	79
6	146	79
7	159	79
8	164	79
0	164	77

Iter	Nodes	Cost
0	25	122
0	35	122
1	56	122
2	87	122
3	118	122
4	149	122
5	163	122
6	183	122
7	201	122
8	222	122
9	243	122
10	245	122
0	245	121