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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample894.0ms (25.6%)

Memory

39.7MiB live, 599.6MiB allocated; 95ms collecting garbage

Samples

491.0ms	8 254×	0	valid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 213.0ms

ival-div: 74.0ms (34.7% of total)

ival-add: 69.0ms (32.4% of total)

ival-mult: 55.0ms (25.8% of total)

ival-true: 5.0ms (2.3% of total)

exact: 5.0ms (2.3% of total)

adjust: 3.0ms (1.4% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain244.0ms (7%)

Memory

-43.3MiB live, 158.3MiB allocated; 41ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

28.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-add: 4.0ms (31.9% of total)

ival-mult: 4.0ms (31.9% of total)

ival-div: 3.0ms (23.9% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess22.0ms (0.6%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify5.0ms (0.2%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

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

localize20.0ms (0.6%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x #s(literal 2 binary64))
accuracy	0.0	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
accuracy	0.0	(*.f64 y x)
accuracy	0.0078125	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))

Samples

14.0ms

256×

valid

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

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

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

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

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series40.0ms (1.1%)

Memory

-32.0MiB live, 16.1MiB allocated; 7ms collecting garbage

Counts

4 → 17

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
32.0ms	y	@	-inf	((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x))
2.0ms	z	@	0	((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x))
2.0ms	x	@	inf	((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x))
1.0ms	x	@	-inf	((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x))
1.0ms	x	@	0	((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x))

simplify102.0ms (2.9%)

Memory

25.8MiB live, 169.4MiB allocated; 16ms collecting garbage

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)

rewrite346.0ms (9.9%)

Memory

-6.4MiB live, 267.5MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 158

Calls

Call 1

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

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

eval18.0ms (0.5%)

Memory: 34.3MiB live, 34.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 6 613 to 573 computations (91.3% saved)

prune19.0ms (0.6%)

Memory

-36.6MiB live, 10.1MiB allocated; 3ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	161	2	163
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	162	2	164

Accuracy

100.0%

Counts

164 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
▶	65.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify9.0ms (0.3%)

Memory

18.4MiB live, 18.4MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
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	14	50
0	19	50
1	34	50
2	67	50
3	115	50
4	178	50
5	198	50
6	230	50
7	265	50
8	280	50
0	280	48

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

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

localize42.0ms (1.2%)

Memory

15.1MiB live, 67.1MiB allocated; 14ms collecting garbage

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)
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	0.0	(fma.f64 #s(literal 1/2 binary64) x z)
accuracy	21.946228316536494	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))

Samples

23.0ms

256×

valid

Compiler

Compiled 42 to 16 computations (61.9% saved)

Precisions

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

ival-add: 5.0ms (40.1% of total)

ival-mult: 5.0ms (40.1% of total)

ival-div: 2.0ms (16% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series9.0ms (0.3%)

Memory

-29.4MiB live, 12.1MiB allocated; 6ms collecting garbage

Counts

5 → 26

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)

Outputs
z
(+ z (* x (+ 1/2 y)))
(+ z (* 1/2 x))
(* x (+ 1/2 y))
(* 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)))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(+ z (+ (* 1/2 x) (* x y)))
1/2
(+ 1/2 y)
(* x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(+ (* 1/2 x) (* x y))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* 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
5.0ms	x	@	-inf	((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (+ (* (+ 1/2 y) x) z) (+ 1/2 y))
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))
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))
0.0ms	x	@	0	((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (+ (* (+ 1/2 y) x) z) (+ 1/2 y))
0.0ms	z	@	-inf	((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (+ (* (+ 1/2 y) x) z) (+ 1/2 y))

simplify216.0ms (6.2%)

Memory

18.3MiB live, 249.4MiB allocated; 169ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	149
1	262	147
2	765	147
3	2831	147
4	6148	147
0	8243	134

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 24

Calls

Call 1

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

rewrite423.0ms (12.1%)

Memory

-7.3MiB live, 229.8MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	43
0	19	43
1	97	43
2	764	43
0	8277	41

Stop Event

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

Counts

5 → 96

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)

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

eval12.0ms (0.4%)

Memory: 25.8MiB live, 25.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 182 to 475 computations (88.6% saved)

prune3.0ms (0.1%)

Memory

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

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	104	5	109

Accuracy

100.0%

Counts

109 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
✓	65.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
▶	64.1%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
▶	36.4%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
▶	30.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))

Compiler

Compiled 77 to 60 computations (22.1% saved)

simplify50.0ms (1.4%)

Memory

-22.0MiB live, 31.8MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	77
0	24	77
1	37	77
2	62	77
3	88	77
4	113	77
5	119	77
6	131	77
7	141	77
8	146	77
0	146	72

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (1%)

Memory

0.1MiB live, 46.3MiB allocated; 3ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y #s(literal -1/2 binary64))
accuracy	0.00390625	(*.f64 (-.f64 y #s(literal -1/2 binary64)) x)
accuracy	22.99293862913158	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
accuracy	0.0	(*.f64 y x)
accuracy	40.7213848093876	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	21.946228316536494	#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))
accuracy	30.068661449782617	#s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))

Samples

27.0ms

256×

valid

Compiler

Compiled 55 to 16 computations (70.9% saved)

Precisions

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

ival-mult: 9.0ms (55.2% of total)

ival-add: 3.0ms (18.4% of total)

ival-div: 2.0ms (12.3% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series5.0ms (0.2%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Counts

8 → 25

Calls

Call 1

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

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

Calls

9 calls:

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

simplify110.0ms (3.1%)

Memory

2.5MiB live, 138.4MiB allocated; 29ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	136
1	244	136
2	726	135
3	2750	135
4	6069	135
0	8223	125

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 23

Calls

Call 1

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

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

rewrite232.0ms (6.6%)

Memory

15.8MiB live, 240.3MiB allocated; 120ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	70
0	24	70
1	90	70
2	640	70
0	8350	65

Stop Event

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

Counts

8 → 54

Calls

Call 1

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

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

eval7.0ms (0.2%)

Memory: 15.2MiB live, 15.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 804 to 274 computations (84.8% saved)

prune8.0ms (0.2%)

Memory

-34.7MiB live, 10.7MiB allocated; 5ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	64	5	69

Accuracy

100.0%

Counts

69 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
✓	65.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
✓	64.1%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
✓	36.4%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
✓	30.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))

Compiler

Compiled 163 to 90 computations (44.8% saved)

regimes12.0ms (0.4%)

Memory

25.1MiB live, 25.1MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

regimes13.0ms (0.4%)

Memory

-23.6MiB live, 21.9MiB allocated; 5ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
85.2%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
82.6%	5	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
79.3%	3	`x`
88.1%	3	`y`
86.0%	3	`z`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes2.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
87.6%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.2%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
43.6%	3	`x`
43.2%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
43.3%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
43.3%	3	`z`
63.3%	3	`y`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes6.0ms (0.2%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
30.0%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
30.0%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
30.0%	1	`z`
30.0%	1	`x`
30.0%	1	`y`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

bsearch44.0ms (1.3%)

Memory

-39.7MiB live, 56.9MiB allocated; 24ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.458959299601265e-14	5.137258307722735e-9
21.0ms	-5.983407246435977e+76	-3.231901425507611e+55

Samples

21.0ms

320×

valid

Compiler

Compiled 570 to 492 computations (13.7% saved)

Precisions

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

ival-mult: 6.0ms (49.2% of total)

ival-add: 3.0ms (24.6% of total)

ival-div: 2.0ms (16.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch18.0ms (0.5%)

Memory

30.1MiB live, 30.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.137258307722735e-9	841.74647387027
1.0ms	-5.983407246435977e+76	-3.231901425507611e+55

Samples

8.0ms

160×

valid

Compiler

Compiled 579 to 497 computations (14.2% saved)

Precisions

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

ival-div: 1.0ms (24.8% of total)

ival-add: 1.0ms (24.8% of total)

ival-mult: 1.0ms (24.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch34.0ms (1%)

Memory

11.2MiB live, 55.3MiB allocated; 14ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.137258307722735e-9	841.74647387027
19.0ms	-0.011099329202963006	-4.753134815228082e-7

Samples

21.0ms

256×

valid

Compiler

Compiled 588 to 500 computations (15% saved)

Precisions

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

ival-div: 2.0ms (29.7% of total)

ival-add: 2.0ms (29.7% of total)

ival-mult: 2.0ms (29.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify50.0ms (1.4%)

Memory

-16.5MiB live, 84.5MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	162
1	60	162
2	89	162
3	121	162
4	156	162
5	180	162
6	345	162
7	2137	162
8	3814	162

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
(if (<=.f64 y #s(literal -6499999999999999314204456254491152370692200209213381379358720 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 1450710983537555/302231454903657293676544 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 -6499999999999999314204456254491152370692200209213381379358720 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 840 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 -3170534137668829/288230376151711744 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 1/2 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) #s(approx (+ (* 1/2 x) z) (.f64 #s(literal 1/2 binary64) x))) #s(approx (+ (+ (/ x 2) ( y x)) z) (*.f64 y x))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))

Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z))
(if (<=.f64 y #s(literal -6499999999999999314204456254491152370692200209213381379358720 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 1450710983537555/302231454903657293676544 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 -6499999999999999314204456254491152370692200209213381379358720 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 840 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 -6499999999999999314204456254491152370692200209213381379358720 binary64)) (not (<=.f64 y #s(literal 840 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 -3170534137668829/288230376151711744 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 1/2 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) #s(approx (+ (* 1/2 x) z) (.f64 #s(literal 1/2 binary64) x))) #s(approx (+ (+ (/ x 2) ( y x)) z) (*.f64 y x))))
(if (or (<=.f64 y #s(literal -3170534137668829/288230376151711744 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) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))

derivations379.0ms (10.9%)

Memory

-16.8MiB live, 414.7MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	149
1	262	147
2	765	147
3	2831	147
4	6148	147
0	8243	134
0	57	93
1	194	93
2	606	93
3	2298	93
4	5350	93
0	8507	84

Stop Event

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

Compiler

Compiled 162 to 43 computations (73.5% saved)

preprocess53.0ms (1.5%)

Memory: 17.0MiB live, 63.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 342 to 102 computations (70.2% saved)

end0.0ms (0%)

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

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

Iter	Nodes	Cost
0	14	50
0	19	50
1	34	50
2	67	50
3	115	50
4	178	50
5	198	50
6	230	50
7	265	50
8	280	50
0	280	48

Iter	Nodes	Cost
0	20	77
0	24	77
1	37	77
2	62	77
3	88	77
4	113	77
5	119	77
6	131	77
7	141	77
8	146	77
0	146	72

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	14	50
0	19	50
1	34	50
2	67	50
3	115	50
4	178	50
5	198	50
6	230	50
7	265	50
8	280	50
0	280	48

Iter	Nodes	Cost
0	20	77
0	24	77
1	37	77
2	62	77
3	88	77
4	113	77
5	119	77
6	131	77
7	141	77
8	146	77
0	146	72

start0.0ms (0%)

analyze0.0ms (0%)

sample894.0ms (25.6%)

explain244.0ms (7%)

preprocess22.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.2%)

localize20.0ms (0.6%)

series40.0ms (1.1%)

simplify102.0ms (2.9%)

rewrite346.0ms (9.9%)

eval18.0ms (0.5%)

prune19.0ms (0.6%)

simplify9.0ms (0.3%)

localize42.0ms (1.2%)

series9.0ms (0.3%)

simplify216.0ms (6.2%)

rewrite423.0ms (12.1%)

eval12.0ms (0.4%)

prune3.0ms (0.1%)

simplify50.0ms (1.4%)

localize35.0ms (1%)

series5.0ms (0.2%)

simplify110.0ms (3.1%)

rewrite232.0ms (6.6%)

eval7.0ms (0.2%)

prune8.0ms (0.2%)

regimes12.0ms (0.4%)

regimes13.0ms (0.4%)

regimes2.0ms (0.1%)

regimes7.0ms (0.2%)

regimes6.0ms (0.2%)

bsearch44.0ms (1.3%)

bsearch18.0ms (0.5%)

bsearch34.0ms (1%)

simplify50.0ms (1.4%)

derivations379.0ms (10.9%)

preprocess53.0ms (1.5%)

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	14	50
0	19	50
1	34	50
2	67	50
3	115	50
4	178	50
5	198	50
6	230	50
7	265	50
8	280	50
0	280	48

Iter	Nodes	Cost
0	20	77
0	24	77
1	37	77
2	62	77
3	88	77
4	113	77
5	119	77
6	131	77
7	141	77
8	146	77
0	146	72