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

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample849.0ms (31.1%)

Memory

20.3MiB live, 768.1MiB allocated; 169ms collecting garbage

Samples

554.0ms	8 254×	0	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 269.0ms

ival-div: 102.0ms (38% of total)

ival-mult: 83.0ms (30.9% of total)

ival-add: 67.0ms (24.9% of total)

ival-true: 6.0ms (2.2% of total)

exact: 5.0ms (1.9% of total)

ival-assert: 3.0ms (1.1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain100.0ms (3.7%)

Memory

9.5MiB live, 201.0MiB allocated; 32ms 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

30.0ms	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: 12.0ms

ival-add: 4.0ms (32.8% of total)

ival-mult: 4.0ms (32.8% of total)

ival-div: 3.0ms (24.6% 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)

preprocess239.0ms (8.7%)

Memory

-16.0MiB live, 220.1MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	88
1	88	84
2	216	84
3	332	84
4	458	84
5	720	81
6	2165	81
7	5174	81
0	8	9
0	12	9
1	22	9
2	43	9
3	69	9
4	108	9
5	196	9
6	808	9
7	5265	9
0	8112	7

Stop Event

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

series7.0ms (0.3%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms collecting garbage

Counts

8 → 19

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

simplify141.0ms (5.2%)

Memory

-1.7MiB live, 141.2MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	99
1	194	99
2	621	99
3	2426	99
4	7396	99
0	8109	92

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 16

Calls

Call 1

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

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

rewrite81.0ms (3%)

Memory

-37.3MiB live, 77.5MiB allocated; 73ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
0	12	26
1	51	26
0	418	24

Stop Event

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

Counts

8 → 47

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

eval5.0ms (0.2%)

Memory: 14.4MiB live, 14.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 944 to 171 computations (81.9% saved)

prune3.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	51	4	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	4	56

Accuracy

100.0%

Counts

56 → 4

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 y #s(literal -1/2 binary64)) x z))
▶	60.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
▶	60.1%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))

Compiler

Compiled 58 to 46 computations (20.7% saved)

series14.0ms (0.5%)

Memory

-33.1MiB live, 16.5MiB allocated; 5ms collecting garbage

Counts

17 → 29

Calls

Call 1

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

Outputs
z
(+ z (* x (+ 1/2 y)))
(* x (+ 1/2 y))
x
(+ z (* 1/2 x))
(* 1/2 x)
(* x y)
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (/ z x)))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(+ z (+ (* 1/2 x) (* x y)))
(+ (* 1/2 x) (* x y))
1/2
(+ 1/2 y)
y
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (* 1/2 (/ x 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))))
(* 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
6.0ms	z	@	inf	((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) y -1/2 x (+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) 1/2 z (+ (+ (/ x 2) (* y x)) z) (+ (* (- y -1/2) x) z) (+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) (* 1/2 x) (* y x))
2.0ms	x	@	-inf	((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) y -1/2 x (+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) 1/2 z (+ (+ (/ x 2) (* y x)) z) (+ (* (- y -1/2) x) z) (+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) (* 1/2 x) (* y x))
1.0ms	x	@	inf	((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) y -1/2 x (+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) 1/2 z (+ (+ (/ x 2) (* y x)) z) (+ (* (- y -1/2) x) z) (+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) (* 1/2 x) (* y x))
1.0ms	y	@	-inf	((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) y -1/2 x (+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) 1/2 z (+ (+ (/ x 2) (* y x)) z) (+ (* (- y -1/2) x) z) (+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) (* 1/2 x) (* y x))
1.0ms	x	@	0	((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) y -1/2 x (+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) 1/2 z (+ (+ (/ x 2) (* y x)) z) (+ (* (- y -1/2) x) z) (+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) (* 1/2 x) (* y x))

simplify141.0ms (5.2%)

Memory

43.1MiB live, 226.6MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	143
1	288	143
2	913	143
3	3179	143
4	5877	143
0	8353	127

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 26

Calls

Call 1

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

rewrite68.0ms (2.5%)

Memory

-3.7MiB live, 75.8MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	105
0	30	105
1	131	105
0	1062	100

Stop Event

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

Counts

17 → 90

Calls

Call 1

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

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

eval25.0ms (0.9%)

Memory: -11.7MiB live, 51.7MiB allocated; 16ms collecting garbage
Compiler: Compiled 2 692 to 334 computations (87.6% saved)

prune5.0ms (0.2%)

Memory

20.5MiB live, 20.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	114	5	119

Accuracy

100.0%

Counts

119 → 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 y #s(literal -1/2 binary64)) x z))
✓	60.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
✓	60.1%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
▶	20.9%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))

Compiler

Compiled 74 to 59 computations (20.3% saved)

series15.0ms (0.5%)

Memory

-22.0MiB live, 21.0MiB allocated; 11ms collecting garbage

Counts

11 → 26

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

Outputs
z
(+ z (* x (+ 1/2 y)))
(* x (+ 1/2 y))
x
(+ 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 y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (* 1/2 (/ x 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
10.0ms	x	@	-inf	((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) 1/2 x (+ (* y x) (+ (/ x 2) z)) y (+ (/ x 2) z) (/ x 2) (* 1/2 x) z)
1.0ms	x	@	inf	((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) 1/2 x (+ (* y x) (+ (/ x 2) z)) y (+ (/ x 2) z) (/ x 2) (* 1/2 x) z)
1.0ms	y	@	-inf	((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) 1/2 x (+ (* y x) (+ (/ x 2) z)) y (+ (/ x 2) z) (/ x 2) (* 1/2 x) z)
1.0ms	x	@	0	((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) 1/2 x (+ (* y x) (+ (/ x 2) z)) y (+ (/ x 2) z) (/ x 2) (* 1/2 x) z)
0.0ms	y	@	inf	((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) 1/2 x (+ (* y x) (+ (/ x 2) z)) y (+ (/ x 2) z) (/ x 2) (* 1/2 x) z)

simplify173.0ms (6.3%)

Memory

32.7MiB live, 263.6MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	122
1	244	122
2	768	122
3	2885	122
4	5605	122
0	8087	109

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 23

Calls

Call 1

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

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

rewrite42.0ms (1.5%)

Memory

9.6MiB live, 55.9MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	64
0	22	64
1	101	64
0	813	63

Stop Event

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

Counts

11 → 41

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

eval41.0ms (1.5%)

Memory: -26.8MiB live, 24.0MiB allocated; 45ms collecting garbage
Compiler: Compiled 1 184 to 138 computations (88.3% saved)

prune3.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	49	6	55

Accuracy

100.0%

Counts

55 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y x #s(approx (+ (/ x 2) z) (fma.f64 #s(literal 1/2 binary64) x z)))
✓	100.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z))
✓	60.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
✓	60.1%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
✓	20.9%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
▶	42.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Compiler

Compiled 88 to 69 computations (21.6% saved)

series4.0ms (0.2%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Counts

9 → 21

Calls

Call 1

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

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

simplify138.0ms (5.1%)

Memory

-12.7MiB live, 129.3MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	105
1	201	105
2	599	105
3	2336	105
0	8114	92

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 18

Calls

Call 1

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

rewrite43.0ms (1.6%)

Memory

13.5MiB live, 60.1MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	47
0	19	47
1	90	47
0	731	46

Stop Event

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

Counts

9 → 36

Calls

Call 1

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

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

eval7.0ms (0.3%)

Memory: -33.2MiB live, 12.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 993 to 137 computations (86.2% saved)

prune4.0ms (0.2%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	43	6	49

Accuracy

100.0%

Counts

49 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.1%	(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 y #s(literal -1/2 binary64)) x z))
✓	60.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
✓	60.1%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
✓	20.9%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
✓	42.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Compiler

Compiled 221 to 108 computations (51.1% saved)

regimes20.0ms (0.7%)

Memory

-2.9MiB live, 40.6MiB allocated; 6ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
3.0ms	z
3.0ms	y
3.0ms	x
3.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)

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 (0.4%)

Memory

26.2MiB live, 26.1MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Calls

5 calls:

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

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)

regimes33.0ms (1.2%)

Memory

-27.1MiB live, 18.2MiB allocated; 5ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

25.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
2.0ms	z
2.0ms	y
2.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
2.0ms	x

Results

Accuracy	Segments	Branch
86.5%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
81.0%	5	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
80.5%	3	`x`
88.3%	3	`y`
77.2%	3	`z`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes2.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
88.1%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.2%)

Memory

14.2MiB live, 14.2MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
45.7%	3	`z`
42.0%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
42.0%	1	`x`
42.0%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
59.6%	3	`y`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes2.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB 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) (*.f64 y x))

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

Calls

2 calls:

1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
42.0%	1	`z`
42.0%	1	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

bsearch16.0ms (0.6%)

Memory

20.5MiB live, 20.5MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	2.3380659124647375e+44	3.771413387885774e+44
8.0ms	-66.09922510282468	-6.492031210767413

Samples

8.0ms

160×

valid

Compiler

Compiled 294 to 256 computations (12.9% saved)

Precisions

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

ival-div: 1.0ms (25.9% of total)

ival-add: 1.0ms (25.9% of total)

ival-mult: 1.0ms (25.9% 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)

bsearch30.0ms (1.1%)

Memory

-24.1MiB live, 29.5MiB allocated; 10ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.3380659124647375e+44	3.771413387885774e+44
28.0ms	-106293908274406.94	-643471408.8741022

Samples

7.0ms

144×

valid

Compiler

Compiled 363 to 313 computations (13.8% saved)

Precisions

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

ival-div: 1.0ms (28.2% of total)

ival-add: 1.0ms (28.2% of total)

ival-mult: 1.0ms (28.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch34.0ms (1.3%)

Memory

11.1MiB live, 53.7MiB allocated; 9ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	7.924131400980308e-7	1976.0221747620976
19.0ms	-6.492031210767413	-4.779931094866343e-12

Samples

20.0ms

304×

valid

Compiler

Compiled 582 to 508 computations (12.7% saved)

Precisions

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

ival-add: 3.0ms (40.9% of total)

ival-div: 2.0ms (27.2% of total)

ival-mult: 2.0ms (27.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify49.0ms (1.8%)

Memory

-6.8MiB live, 79.7MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	167
1	58	167
2	81	167
3	107	167
4	158	167
5	486	167
6	3639	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 y #s(literal -1/2 binary64)) x z))
(if (<=.f64 y #s(literal -12 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (if (<=.f64 y #s(literal 240000000000000013248451121308980578330083328 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 -39000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 240000000000000013248451121308980578330083328 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 y #s(literal -1/2 binary64)) x z))
(if (<=.f64 y #s(literal -12 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (if (<=.f64 y #s(literal 240000000000000013248451121308980578330083328 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 -39000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 240000000000000013248451121308980578330083328 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 -39000000000 binary64)) (not (<=.f64 y #s(literal 240000000000000013248451121308980578330083328 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))

derivations334.0ms (12.2%)

Memory

3.2MiB live, 332.4MiB allocated; 93ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 167 to 43 computations (74.3% saved)

preprocess42.0ms (1.5%)

Memory: -15.2MiB live, 87.4MiB allocated; 31ms collecting garbage
Compiler: Compiled 352 to 102 computations (71% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample849.0ms (31.1%)

explain100.0ms (3.7%)

preprocess239.0ms (8.7%)

eval0.0ms (0%)

prune0.0ms (0%)

series7.0ms (0.3%)

simplify141.0ms (5.2%)

rewrite81.0ms (3%)

eval5.0ms (0.2%)

prune3.0ms (0.1%)

series14.0ms (0.5%)

simplify141.0ms (5.2%)

rewrite68.0ms (2.5%)

eval25.0ms (0.9%)

prune5.0ms (0.2%)

series15.0ms (0.5%)

simplify173.0ms (6.3%)

rewrite42.0ms (1.5%)

eval41.0ms (1.5%)

prune3.0ms (0.1%)

series4.0ms (0.2%)

simplify138.0ms (5.1%)

rewrite43.0ms (1.6%)

eval7.0ms (0.3%)

prune4.0ms (0.2%)

regimes20.0ms (0.7%)

regimes12.0ms (0.4%)

regimes33.0ms (1.2%)

regimes2.0ms (0.1%)

regimes7.0ms (0.2%)

regimes2.0ms (0.1%)

bsearch16.0ms (0.6%)

bsearch30.0ms (1.1%)

bsearch34.0ms (1.3%)

simplify49.0ms (1.8%)

derivations334.0ms (12.2%)

preprocess42.0ms (1.5%)

end0.0ms (0%)

Profiling