Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 10 computations (41.2% saved)

sample1.1s (21%)

Memory

28.9MiB live, 1 086.9MiB allocated

Samples

841.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 230.0ms

ival-mult: 117.0ms (50.9% of total)

ival-add: 103.0ms (44.8% of total)

ival-true: 7.0ms (3% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain346.0ms (6.5%)

Memory

-28.4MiB live, 146.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
10	-	-	`(+.f64 (.f64 x y) (.f64 z z))`
1	-	-	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
1	-	-	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`
0	-	-	`y`
0	-	-	`(*.f64 z z)`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 z z))`	nan-rescue	10	0
↳	`(*.f64 x y)`	overflow	35
↳	`(*.f64 z z)`	overflow	75
`+.f64`	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`	nan-rescue	1	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	overflow	95
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	95
↳	`(*.f64 x y)`	overflow	35
↳	`(*.f64 z z)`	overflow	150
↳	`(*.f64 z z)`	overflow	75
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	nan-rescue	1	0
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	95
↳	`(*.f64 x y)`	overflow	35
↳	`(*.f64 z z)`	overflow	75
↳	`(*.f64 z z)`	overflow	75

Confusion

	Predicted +	Predicted -
+	10	0
-	0	246

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	10	0	0
-	0	0	246

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	246
1	9
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

177.0ms

512×

valid

Compiler

Compiled 145 to 36 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (51.7% of total)

ival-add: 6.0ms (44.3% of total)

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

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

preprocess72.0ms (1.4%)

Memory

-1.3MiB live, 35.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	142
1	104	120
2	235	82
3	607	81
4	1135	81
5	1522	81
6	2120	81
7	2645	81
8	2732	81
9	2732	81
0	8	15
0	13	15
1	20	13
2	30	9
3	42	9
4	50	9
5	53	9
0	53	8

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))

Symmetry

(abs z)

(sort x y)

Compiler

Compiled 15 to 8 computations (46.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.0%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify4.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	128	(+.f64 (.f64 x y) (.f64 z z))
cost-diff	192	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
cost-diff	512	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	42
0	13	42
1	20	38
2	30	34
3	42	34
4	50	34
5	53	34
0	53	31

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
(+.f64 (.f64 x y) (.f64 z z))
(*.f64 x y)
x
y
(*.f64 z z)
z

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 y x))
(+.f64 (.f64 x y) (.f64 z z))
(fma.f64 z z (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 z z)
z

localize22.0ms (0.4%)

Memory

0.6MiB live, 36.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.2578104358302058	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
accuracy	0.3281229358302058	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
accuracy	2.0468729358302062	(+.f64 (.f64 x y) (.f64 z z))

Samples

17.0ms

256×

valid

Compiler

Compiled 86 to 18 computations (79.1% saved)

Precisions

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

ival-mult: 4.0ms (54.9% of total)

ival-add: 3.0ms (41.2% of total)

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

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

series7.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

4 → 24

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
(+.f64 (.f64 x y) (.f64 z z))
(*.f64 x y)

Outputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(pow z 2)
(+ (* x y) (pow z 2))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (/ (pow z 2) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))

Calls

9 calls:

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

simplify116.0ms (2.2%)

Memory

-30.7MiB live, 90.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	208
1	244	180
2	776	180
3	2210	180
4	6662	180
0	8142	161

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(pow z 2)
(+ (* x y) (pow z 2))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (/ (pow z 2) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))

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

rewrite236.0ms (4.5%)

Memory

14.0MiB live, 201.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
0	13	36
1	55	32
2	517	26
3	7658	26
0	8262	23

Stop Event

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

Counts

4 → 324

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
(+.f64 (.f64 x y) (.f64 z z))
(*.f64 x y)

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

eval29.0ms (0.5%)

Memory: 32.3MiB live, 66.7MiB allocated
Compiler: Compiled 10 015 to 1 015 computations (89.9% saved)

prune10.0ms (0.2%)

Memory

-33.3MiB live, 17.2MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	327	4	331
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	328	4	332

Accuracy

100.0%

Counts

332 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.6%	(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (.f64 y x)))
▶	96.4%	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
▶	96.4%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
▶	57.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))

Compiler

Compiled 75 to 49 computations (34.7% saved)

simplify7.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 z #s(literal 6 binary64))
cost-diff	0	(*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64)))
cost-diff	192	(+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))
cost-diff	320	(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (.f64 y x)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 z z (*.f64 y x))
cost-diff	0	(*.f64 #s(literal 2 binary64) z)
cost-diff	384	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(*.f64 #s(literal 3 binary64) z)
cost-diff	0	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 (.f64 z z) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	159
0	47	148
1	83	135
2	116	135
3	139	135
4	148	135
5	148	135
0	148	134

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
(*.f64 z z)
z
#s(literal 3 binary64)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
(*.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)
z
(*.f64 y x)
y
x
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(fma.f64 z z (*.f64 y x))
(*.f64 y x)
y
x
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (.f64 y x)))
(*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64)))
#s(literal 2 binary64)
(pow.f64 z #s(literal 6 binary64))
z
#s(literal 6 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))
#s(literal 0 binary64)
(pow.f64 z #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 z z (*.f64 y x))
(*.f64 y x)
y
x

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

localize103.0ms (1.9%)

Memory

-2.1MiB live, 160.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64)))
accuracy	0.3873957033250318	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))
accuracy	2.253881478450042	(fma.f64 z z (*.f64 y x))
accuracy	46.34714814968249	(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (.f64 y x)))
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(*.f64 #s(literal 2 binary64) z)
accuracy	0.03125	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
accuracy	2.253881478450042	(fma.f64 z z (*.f64 y x))
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(*.f64 #s(literal 3 binary64) z)
accuracy	0.0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
accuracy	2.308568978450042	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
accuracy	0.0	(*.f64 z z)
accuracy	0.14453125	(.f64 (.f64 z z) #s(literal 3 binary64))
accuracy	27.283862724669547	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))

Samples

51.0ms

256×

valid

Compiler

Compiled 312 to 62 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 14.0ms (39.8% of total)

ival-pow: 10.0ms (28.4% of total)

ival-add: 9.0ms (25.6% of total)

ival-div: 2.0ms (5.7% of total)

exact: 1.0ms (2.8% of total)

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

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

series29.0ms (0.5%)

Memory

-9.0MiB live, 27.1MiB allocated

Counts

15 → 27

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
(*.f64 z z)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
(*.f64 #s(literal 3 binary64) z)
(*.f64 y x)
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
(*.f64 #s(literal 2 binary64) z)
(fma.f64 z z (*.f64 y x))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (.f64 y x)))
(+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64)))
(pow.f64 z #s(literal 6 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))

Outputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(pow z 2)
(+ (* x y) (pow z 2))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (/ (pow z 2) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* 3 z)
(* 2 z)
(pow z 4)
(* 2 (pow z 6))
(pow z 6)
(/ 1 (pow z 4))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	z	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* (* 2 (pow z 6)) (/ 1 (+ 0 (pow z 4)))) (+ (* z z) (* y x))) (+ 0 (pow z 4)) (* 2 (pow z 6)) (pow z 6) (/ 1 (+ 0 (pow z 4))))
2.0ms	z	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* (* 2 (pow z 6)) (/ 1 (+ 0 (pow z 4)))) (+ (* z z) (* y x))) (+ 0 (pow z 4)) (* 2 (pow z 6)) (pow z 6) (/ 1 (+ 0 (pow z 4))))
2.0ms	z	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* (* 2 (pow z 6)) (/ 1 (+ 0 (pow z 4)))) (+ (* z z) (* y x))) (+ 0 (pow z 4)) (* 2 (pow z 6)) (pow z 6) (/ 1 (+ 0 (pow z 4))))
1.0ms	x	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* (* 2 (pow z 6)) (/ 1 (+ 0 (pow z 4)))) (+ (* z z) (* y x))) (+ 0 (pow z 4)) (* 2 (pow z 6)) (pow z 6) (/ 1 (+ 0 (pow z 4))))
1.0ms	y	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (* y x) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* (* 2 (pow z 6)) (/ 1 (+ 0 (pow z 4)))) (+ (* z z) (* y x))) (+ 0 (pow z 4)) (* 2 (pow z 6)) (pow z 6) (/ 1 (+ 0 (pow z 4))))

simplify344.0ms (6.5%)

Memory

17.6MiB live, 140.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	223
1	255	179
2	795	179
3	2249	179
4	6626	179
0	8113	162

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

Inputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(pow z 2)
(+ (* x y) (pow z 2))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (/ (pow z 2) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* 3 z)
(* 2 z)
(pow z 4)
(* 2 (pow z 6))
(pow z 6)
(/ 1 (pow z 4))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))

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

rewrite350.0ms (6.6%)

Memory

-11.7MiB live, 222.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	126
0	47	106
1	208	92
2	1757	92
0	8523	92

Stop Event

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

Counts

15 → 1 111

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
(*.f64 z z)
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
(*.f64 #s(literal 3 binary64) z)
(*.f64 y x)
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
(*.f64 #s(literal 2 binary64) z)
(fma.f64 z z (*.f64 y x))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (.f64 y x)))
(+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64)))
(pow.f64 z #s(literal 6 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64))))

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
(.f64 (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 2 binary64) z) z) (*.f64 z z))))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 2 binary64) z) z) (*.f64 z z))))))
(.f64 (.f64 #s(literal 3 binary64) z) z)
(.f64 #s(literal 3 binary64) (.f64 z z))
(.f64 (.f64 z z) #s(literal 3 binary64))
(*.f64 z (fma.f64 #s(literal 2 binary64) z z))
(.f64 z (.f64 #s(literal 3 binary64) z))
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 z z) (.f64 (.f64 #s(literal 2 binary64) z) z)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) z) z) (.f64 z z))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 2 binary64) z) z) (.f64 z z))))))
(/.f64 (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) z) z) (.f64 z z)))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 2 binary64) z) z) (.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 2 binary64) z) z) (.f64 z z)))) (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) z) z) (.f64 z z)) (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 2 binary64)) (neg.f64 (.f64 z z))) (/.f64 #s(literal -1 binary64) (.f64 z z)) (.f64 z z))
(fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -4 binary64))) (*.f64 z z))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) z) (.f64 z z))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (pow.f64 z #s(literal 8 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -4 binary64)))) (*.f64 z z))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 z #s(literal 12 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal -8 binary64))) (.f64 z z))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 z z))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) (.f64 z z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 z z)) (.f64 z z))
(fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) z) (.f64 z z))
(fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) z) (*.f64 z z))
(fma.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 z #s(literal 8 binary64)))) (/.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -4 binary64)))) (*.f64 z z))
(fma.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 z #s(literal 8 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -4 binary64)))) (.f64 z z))
(fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 12 binary64))) (/.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -8 binary64))) (.f64 z z))
(fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 12 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal -8 binary64))) (*.f64 z z))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) (/.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 2 binary64)) (neg.f64 (.f64 z z))) (.f64 z z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (neg.f64 (.f64 z z))) (/.f64 #s(literal -1 binary64) (.f64 z z)) (.f64 (.f64 #s(literal 2 binary64) z) z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -4 binary64))) (.f64 (*.f64 #s(literal 2 binary64) z) z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) z) (.f64 (.f64 #s(literal 2 binary64) z) z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) z) (*.f64 z z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (neg.f64 (pow.f64 z #s(literal 8 binary64)))) (/.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -4 binary64)))) (.f64 z z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (neg.f64 (pow.f64 z #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -4 binary64)))) (.f64 (*.f64 #s(literal 2 binary64) z) z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 z #s(literal -8 binary64))) (*.f64 z z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -8 binary64))) (.f64 (.f64 #s(literal 2 binary64) z) z))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 2 binary64)) z) (.f64 z z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 (pow.f64 z #s(literal 8 binary64)))) (/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -4 binary64)))) (*.f64 z z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 (pow.f64 z #s(literal 8 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -4 binary64)))) (.f64 (*.f64 #s(literal 2 binary64) z) z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 12 binary64))) (/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal -8 binary64))) (.f64 z z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 12 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal -8 binary64))) (.f64 (.f64 #s(literal 2 binary64) z) z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 z z)) (/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 z z)) (.f64 z z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 z z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 z z)) (.f64 (.f64 #s(literal 2 binary64) z) z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)) z) (.f64 z z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) z) (.f64 (.f64 #s(literal 2 binary64) z) z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 12 binary64))) (/.f64 (.f64 z z) (pow.f64 z #s(literal -8 binary64))) (.f64 (*.f64 #s(literal 2 binary64) z) z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (.f64 z z) (.f64 (*.f64 #s(literal 2 binary64) z) z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) z) (/.f64 (.f64 z z) (pow.f64 z #s(literal 3 binary64))) (.f64 (*.f64 #s(literal 2 binary64) z) z))
(fma.f64 (/.f64 (.f64 z z) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) z) (.f64 (*.f64 #s(literal 2 binary64) z) z))
(fma.f64 (/.f64 (.f64 z z) (neg.f64 (pow.f64 z #s(literal 8 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -4 binary64)))) (.f64 (.f64 #s(literal 2 binary64) z) z))
(fma.f64 (/.f64 (.f64 z z) (pow.f64 z #s(literal 12 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal -8 binary64))) (.f64 (*.f64 #s(literal 2 binary64) z) z))
(fma.f64 (/.f64 (.f64 z z) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64)) (.f64 (*.f64 #s(literal 2 binary64) z) z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 z z)) (/.f64 (.f64 z z) (.f64 z z)) (.f64 (*.f64 #s(literal 2 binary64) z) z))
(fma.f64 (/.f64 (.f64 z z) (.f64 z z)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 z z)) (.f64 (*.f64 #s(literal 2 binary64) z) z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (.f64 z z) z) (.f64 (*.f64 #s(literal 2 binary64) z) z))
(fma.f64 (/.f64 (.f64 z z) z) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) (.f64 (*.f64 #s(literal 2 binary64) z) z))
(fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) z) (.f64 z z))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (.f64 z z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) z) (/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64))) (.f64 z z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (.f64 (.f64 #s(literal 2 binary64) z) z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64))) (.f64 z z))
(fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 2 binary64)) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (.f64 z z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) z) (/.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 z z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (.f64 (.f64 #s(literal 2 binary64) z) z))
(fma.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))) (.f64 z z))
(fma.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 z z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 (pow.f64 z #s(literal 8 binary64)))) (/.f64 (.f64 z z) (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -4 binary64)))) (.f64 (.f64 #s(literal 2 binary64) z) z))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 z z))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) z) z))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal -4 binary64))) (/.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 z z))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal -4 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 z z))
(fma.f64 (pow.f64 (neg.f64 (pow.f64 z #s(literal 8 binary64))) #s(literal -1 binary64)) (/.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -4 binary64)))) (*.f64 z z))
(fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -4 binary64)))) (*.f64 z z))
(fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 8 binary64)))) (neg.f64 (pow.f64 z #s(literal 4 binary64))) (.f64 z z))
(fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 8 binary64))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -8 binary64))) (*.f64 z z))
(fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 8 binary64))) (.f64 z z)) (pow.f64 z #s(literal 8 binary64)) (*.f64 z z))
(fma.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -4 binary64))) (.f64 z z))
(fma.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -4 binary64))) (.f64 (.f64 #s(literal 2 binary64) z) z))
(fma.f64 (.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -4 binary64))) (.f64 z z))
(fma.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -4 binary64)) (.f64 (*.f64 #s(literal 2 binary64) z) z))
(fma.f64 (.f64 (pow.f64 z #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 6 binary64)) (.f64 z z))
(fma.f64 (pow.f64 z #s(literal -2 binary64)) (.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) z) (/.f64 #s(literal 2 binary64) z)) (.f64 z z))
(fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 z z))) (*.f64 z z))
(fma.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -4 binary64))))) (*.f64 z z))
(fma.f64 (.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) z) (/.f64 #s(literal 2 binary64) z)) (pow.f64 z #s(literal -2 binary64)) (.f64 z z))
(fma.f64 (/.f64 #s(literal 2 binary64) (.f64 z z)) (/.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 z z)) (.f64 z z))
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(*.f64 (pow.f64 z #s(literal -12 binary64)) (pow.f64 z #s(literal 8 binary64)))
(*.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (neg.f64 (pow.f64 z #s(literal 8 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 z #s(literal -12 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -4 binary64))))
(*.f64 (pow.f64 z #s(literal -4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -4 binary64)))
(.f64 (.f64 z z) (/.f64 (*.f64 z z) (pow.f64 z #s(literal 8 binary64))))
(pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 z #s(literal 8 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 z z) #s(literal -2 binary64))
(pow.f64 z #s(literal -4 binary64))
(/.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) (neg.f64 (*.f64 z z)))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 z z))
(/.f64 (neg.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (neg.f64 (pow.f64 z #s(literal 8 binary64)))))
(/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (neg.f64 (pow.f64 z #s(literal 8 binary64))))
(/.f64 (neg.f64 (pow.f64 z #s(literal 8 binary64))) (neg.f64 (pow.f64 z #s(literal 12 binary64))))
(/.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 z #s(literal 12 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 z #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (pow.f64 z #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 z #s(literal 8 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 (pow.f64 z #s(literal 8 binary64)))))
(-.f64 (pow.f64 z #s(literal -4 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 12 binary64))))
(-.f64 (pow.f64 z #s(literal -4 binary64)) (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 z #s(literal 8 binary64)))))
(exp.f64 (-.f64 (fma.f64 (log.f64 z) #s(literal 4 binary64) (.f64 (log.f64 z) #s(literal 4 binary64))) (.f64 (*.f64 (log.f64 z) #s(literal 4 binary64)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 z) #s(literal -4 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 z) #s(literal 4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 z) #s(literal 4 binary64)) #s(literal -1 binary64)))

eval148.0ms (2.8%)

Memory: 31.3MiB live, 67.2MiB allocated
Compiler: Compiled 24 256 to 2 124 computations (91.2% saved)

prune23.0ms (0.4%)

Memory

1.3MiB live, 44.9MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	740	3	743
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	742	5	747

Accuracy

100.0%

Counts

747 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.4%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
▶	57.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
▶	57.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) #s(literal 3 binary64)))
✓	57.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	57.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))

Compiler

Compiled 113 to 64 computations (43.4% saved)

simplify7.0ms (0.1%)

Memory

-29.2MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	-128	(+.f64 z z)
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
cost-diff	384	(fma.f64 z (+.f64 z z) (*.f64 z z))
cost-diff	0	(pow.f64 z #s(literal -2 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64)))
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) #s(literal 3 binary64)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) #s(literal 3 binary64))
cost-diff	0	(*.f64 #s(literal 3 binary64) z)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) z) z)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	112
0	31	96
1	52	84
2	63	84
3	65	84
0	65	81

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize48.0ms (0.9%)

Memory

32.1MiB live, 66.9MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 z z)
accuracy	0.0	(*.f64 z z)
accuracy	0.0390625	(fma.f64 z (+.f64 z z) (*.f64 z z))
accuracy	27.283862724669547	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
accuracy	0.0	(pow.f64 z #s(literal -2 binary64))
accuracy	0.14453125	(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) #s(literal 3 binary64))
accuracy	0.4810049212673725	(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64)))
accuracy	27.283862724669547	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) #s(literal 3 binary64)))
accuracy	0.0	(*.f64 #s(literal 3 binary64) z)
accuracy	0.12890625	(.f64 (.f64 #s(literal 3 binary64) z) z)
accuracy	27.283862724669547	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))

Samples

30.0ms

256×

valid

Compiler

Compiled 204 to 43 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 9.0ms (47.5% of total)

ival-add: 5.0ms (26.4% of total)

ival-pow: 3.0ms (15.8% of total)

ival-div: 2.0ms (10.5% of total)

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.6%)

Memory

-26.0MiB live, 9.1MiB allocated

Counts

11 → 14

Calls

Call 1

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

Outputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* 3 z)
(pow z 2)
(/ 1 (pow z 2))
(* 2 z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	z	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (* (/ 1 (pow z -2)) 3) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/ 1 (pow z -2)) (pow z -2) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z))
1.0ms	z	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (* (/ 1 (pow z -2)) 3) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/ 1 (pow z -2)) (pow z -2) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z))
1.0ms	z	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (* (/ 1 (pow z -2)) 3) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/ 1 (pow z -2)) (pow z -2) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z))
0.0ms	x	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (* (/ 1 (pow z -2)) 3) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/ 1 (pow z -2)) (pow z -2) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z))
0.0ms	x	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (* (/ 1 (pow z -2)) 3) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/ 1 (pow z -2)) (pow z -2) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z))

simplify119.0ms (2.2%)

Memory

-0.3MiB live, 116.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	118
1	132	90
2	407	90
3	1357	90
4	4706	90
0	8552	83

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

Inputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* 3 z)
(pow z 2)
(/ 1 (pow z 2))
(* 2 z)
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))

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

rewrite136.0ms (2.6%)

Memory

-18.9MiB live, 106.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	105
0	31	87
1	118	75
0	1180	72

Stop Event

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

Counts

11 → 241

Calls

Call 1

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

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

eval18.0ms (0.3%)

Memory: -15.0MiB live, 58.7MiB allocated
Compiler: Compiled 3 864 to 478 computations (87.6% saved)

prune6.0ms (0.1%)

Memory

23.3MiB live, 23.3MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	0	0	0
Picked	1	2	3
Done	0	2	2
Total	141	6	147

Accuracy

100.0%

Counts

147 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.4%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
✓	57.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
▶	57.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow z -2) (/.f64 (/.f64 #s(literal 1 binary64) z) z))) #s(literal 3 binary64)))
✓	57.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	57.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
▶	48.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 138 to 77 computations (44.2% saved)

simplify7.0ms (0.1%)

Memory

-21.1MiB live, 17.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (pow z -2) (/.f64 (/.f64 #s(literal 1 binary64) z) z))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (pow z -2) (/.f64 (/.f64 #s(literal 1 binary64) z) z)))
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow z -2) (/.f64 (/.f64 #s(literal 1 binary64) z) z))) #s(literal 3 binary64)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow z -2) (/.f64 (/.f64 #s(literal 1 binary64) z) z))) #s(literal 3 binary64))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	97
0	25	93
1	38	89
2	49	81
3	59	81
4	65	81
5	68	81
0	68	79

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize200.0ms (3.8%)

Memory

9.8MiB live, 59.7MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(/.f64 (/.f64 #s(literal 1 binary64) z) z)
accuracy	0.14453125	(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow z -2) (/.f64 (/.f64 #s(literal 1 binary64) z) z))) #s(literal 3 binary64))
accuracy	0.4810049212673725	(/.f64 #s(literal 1 binary64) #s(approx (pow z -2) (/.f64 (/.f64 #s(literal 1 binary64) z) z)))
accuracy	27.283862724669547	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow z -2) (/.f64 (/.f64 #s(literal 1 binary64) z) z))) #s(literal 3 binary64)))
accuracy	0.0	(*.f64 y x)
accuracy	32.91264516420932	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Samples

191.0ms

256×

valid

Compiler

Compiled 160 to 39 computations (75.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-div: 168.0ms (93% of total)

ival-mult: 6.0ms (3.3% of total)

ival-add: 3.0ms (1.7% of total)

ival-pow: 3.0ms (1.7% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

7 → 12

Calls

Call 1

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

Outputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(pow z 2)
(/ 1 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (* (/ 1 (pow z -2)) 3) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/ 1 (pow z -2)) (pow z -2) (/ (/ 1 z) z))
1.0ms	z	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (* (/ 1 (pow z -2)) 3) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/ 1 (pow z -2)) (pow z -2) (/ (/ 1 z) z))
1.0ms	z	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (* (/ 1 (pow z -2)) 3) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/ 1 (pow z -2)) (pow z -2) (/ (/ 1 z) z))
0.0ms	x	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (* (/ 1 (pow z -2)) 3) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/ 1 (pow z -2)) (pow z -2) (/ (/ 1 z) z))
0.0ms	y	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* y x) (* (/ 1 (pow z -2)) 3) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/ 1 (pow z -2)) (pow z -2) (/ (/ 1 z) z))

simplify173.0ms (3.3%)

Memory

-5.6MiB live, 69.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	112
1	128	84
2	407	84
3	1385	84
4	4741	84
0	8605	77

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

Inputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(pow z 2)
(/ 1 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))

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

rewrite198.0ms (3.7%)

Memory

7.0MiB live, 154.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	89
0	25	75
1	96	71
2	671	63
0	8765	61

Stop Event

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

Counts

7 → 86

Calls

Call 1

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

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

eval10.0ms (0.2%)

Memory: 21.9MiB live, 21.9MiB allocated
Compiler: Compiled 2 712 to 396 computations (85.4% saved)

prune9.0ms (0.2%)

Memory

-23.1MiB live, 13.4MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	92	6	98

Accuracy

100.0%

Counts

98 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.4%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
✓	57.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
✓	57.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow z -2) (/.f64 (/.f64 #s(literal 1 binary64) z) z))) #s(literal 3 binary64)))
✓	57.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	57.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
✓	48.6%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 344 to 130 computations (62.2% saved)

regimes67.0ms (1.3%)

Memory

-10.7MiB live, 47.3MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow z -2) (/.f64 (/.f64 #s(literal 1 binary64) z) z))) #s(literal 3 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) #s(literal 3 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (.f64 y x)))

Outputs
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))

Calls

6 calls:

49.0ms	z
4.0ms	y
3.0ms	x
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
3.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
96.4%	1	`x`
96.4%	1	`y`
100.0%	2	`z`
99.6%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
96.4%	1	`(*.f64 x y)`
99.6%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes3.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))

Outputs

#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (*.f64 #s(literal 3 binary64) z) z (*.f64 y x)))

#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.9%	2	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes17.0ms (0.3%)

Memory

-8.0MiB live, 30.0MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))

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

Calls

6 calls:

7.0ms	y
2.0ms	z
2.0ms	x
2.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
2.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
68.8%	3	`x`
69.8%	3	`y`
73.0%	4	`(*.f64 x y)`
76.7%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
86.8%	2	`(*.f64 z z)`
86.8%	2	`z`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes4.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 #s(literal 3 binary64) z) z))

#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (*.f64 z z) #s(literal 3 binary64)))

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))

Calls

2 calls:

2.0ms	z
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
86.8%	2	`z`
86.8%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes3.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))

Calls

2 calls:

1.0ms	z
1.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
86.8%	2	`z`
86.8%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes8.0ms (0.2%)

Memory

-17.6MiB live, 20.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

2.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
1.0ms	x
1.0ms	(*.f64 x y)
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
48.6%	1	`x`
48.6%	1	`y`
48.6%	1	`(*.f64 x y)`
48.6%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
48.6%	1	`z`
48.6%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

bsearch2.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	1.8068971971131565e+180	1.5843751792265705e+181

Samples

1.0ms

16×

valid

Compiler

Compiled 50 to 36 computations (28% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

bsearch0.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	1.8068971971131565e+180	1.5843751792265705e+181

Compiler

Compiled 63 to 41 computations (34.9% saved)

bsearch14.0ms (0.3%)

Memory

-7.6MiB live, 29.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.012140194466807443	175.0206685214541

Samples

6.0ms

128×

valid

Compiler

Compiled 362 to 206 computations (43.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 2.0ms (58.6% of total)

ival-mult: 2.0ms (58.6% of total)

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

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

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00014738432169190206	30632.234409696714

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00014738432169190206	30632.234409696714

Compiler

Compiled 14 to 14 computations (0% saved)

simplify183.0ms (3.5%)

Memory

15.6MiB live, 62.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	243
1	44	223
2	53	203
3	64	203
4	73	203
5	82	203
6	90	203
7	108	203
8	123	203
9	131	203
10	144	203
11	215	203
12	1211	203
13	2236	203
14	2908	203
15	3773	203
16	4983	203
17	6857	203
18	7314	203
19	7603	203
20	7818	203
21	7996	203

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 z #s(literal 2000000000000000018497092039783196889132420683315093231815042777266813011416236778616909817285004413072163754088681978287387596172436262464747751326627917425399889939413009512267776 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 z #s(literal 2000000000000000018497092039783196889132420683315093231815042777266813011416236778616909817285004413072163754088681978287387596172436262464747751326627917425399889939413009512267776 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 z #s(literal 5854679515581645/2251799813685248 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Outputs
(if (<=.f64 z #s(literal 2000000000000000018497092039783196889132420683315093231815042777266813011416236778616909817285004413072163754088681978287387596172436262464747751326627917425399889939413009512267776 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 z #s(literal 2000000000000000018497092039783196889132420683315093231815042777266813011416236778616909817285004413072163754088681978287387596172436262464747751326627917425399889939413009512267776 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 z #s(literal 5854679515581645/2251799813685248 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

soundness1.0s (18.9%)

Memory

-3.2MiB live, 388.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	208
1	244	180
2	776	180
3	2210	180
4	6662	180
0	8142	161
0	30	126
0	47	106
1	208	92
2	1757	92
0	8523	92
0	43	118
1	132	90
2	407	90
3	1357	90
4	4706	90
0	8552	83
0	8	36
0	13	36
1	55	32
2	517	26
3	7658	26
0	8262	23

Stop Event

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

Compiler

Compiled 525 to 226 computations (57% saved)

preprocess69.0ms (1.3%)

Memory: -3.4MiB live, 120.2MiB allocated
Remove: (sort x y)
Compiler: Compiled 750 to 226 computations (69.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (21%)

explain346.0ms (6.5%)

preprocess72.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize22.0ms (0.4%)

series7.0ms (0.1%)

simplify116.0ms (2.2%)

rewrite236.0ms (4.5%)

eval29.0ms (0.5%)

prune10.0ms (0.2%)

simplify7.0ms (0.1%)

localize103.0ms (1.9%)

series29.0ms (0.5%)

simplify344.0ms (6.5%)

rewrite350.0ms (6.6%)

eval148.0ms (2.8%)

prune23.0ms (0.4%)

simplify7.0ms (0.1%)

localize48.0ms (0.9%)

series31.0ms (0.6%)

simplify119.0ms (2.2%)

rewrite136.0ms (2.6%)

eval18.0ms (0.3%)

prune6.0ms (0.1%)

simplify7.0ms (0.1%)

localize200.0ms (3.8%)

series5.0ms (0.1%)

simplify173.0ms (3.3%)

rewrite198.0ms (3.7%)

eval10.0ms (0.2%)

prune9.0ms (0.2%)

regimes67.0ms (1.3%)

regimes3.0ms (0%)

regimes17.0ms (0.3%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes8.0ms (0.2%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify183.0ms (3.5%)

soundness1.0s (18.9%)

preprocess69.0ms (1.3%)

end0.0ms (0%)

Profiling