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

0.5MiB live, 0.5MiB 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)

sample1.4s (18.4%)

Memory

-18.5MiB live, 923.8MiB allocated

Samples

789.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 397.0ms

ival-mult: 283.0ms (71.2% of total)

ival-add: 105.0ms (26.4% of total)

ival-true: 6.0ms (1.5% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain110.0ms (1.5%)

Memory

39.0MiB live, 187.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(+.f64 (.f64 x y) (.f64 z z))`
0	-	-	`y`
0	-	-	`(*.f64 z z)`
0	-	-	`z`
0	-	-	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
0	-	-	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z 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	1	0
↳	`(*.f64 x y)`	overflow	30
↳	`(*.f64 z z)`	overflow	47

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms

512×

valid

Compiler

Compiled 145 to 36 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-add: 9.0ms (53.8% of total)

ival-mult: 7.0ms (41.8% of total)

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

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

preprocess70.0ms (1%)

Memory

-6.6MiB live, 69.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	142
1	104	120
2	235	82
3	602	81
4	1131	81
5	1497	81
6	2068	81
7	2586	81
8	2644	81
9	2644	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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(+.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

10.1MiB live, 10.1MiB 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

localize61.0ms (0.8%)

Memory

-9.0MiB live, 36.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
accuracy	0.0859375	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
accuracy	0.20312500000000003	(+.f64 (.f64 x y) (.f64 z z))

Samples

55.0ms

256×

valid

Compiler

Compiled 86 to 18 computations (79.1% saved)

Precisions

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

ival-true: 4.0ms (37.7% of total)

ival-add: 3.0ms (28.3% of total)

ival-mult: 3.0ms (28.3% of total)

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

series7.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB 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	y	@	0	((+ (+ (+ (* 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))

simplify116.0ms (1.6%)

Memory

-0.7MiB live, 110.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	208
1	244	180
2	752	180
3	2132	180
4	5815	180
0	8129	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 #s(literal 3 binary64) (.f64 z z))
(+ (* 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 z z) #s(literal 2 binary64))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.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 z z) #s(literal 2 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 #s(literal 3 binary64) z) z (.f64 y x))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 (.f64 z z) #s(literal 2 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 #s(literal 3 binary64) z) z (.f64 y x))
(* y (+ x (* 2 (/ (pow z 2) y))))
(fma.f64 (.f64 z z) #s(literal 2 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 #s(literal 3 binary64) z) z (.f64 y x))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (.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 #s(literal 3 binary64) (.f64 z z))
(* (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 z z) #s(literal 2 binary64) (.f64 y x))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 y x))

rewrite300.0ms (4.1%)

Memory

-18.0MiB live, 157.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
0	13	36
1	55	32
2	517	26
3	7580	26
0	8184	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))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 y x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64))) (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))))
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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)

eval115.0ms (1.6%)

Memory: -16.6MiB live, 69.5MiB allocated
Compiler: Compiled 10 015 to 1 014 computations (89.9% saved)

prune8.0ms (0.1%)

Memory

23.7MiB live, 23.7MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	324	7	331
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	325	7	332

Accuracy

100.0%

Counts

332 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
▶	99.5%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
	32.6%	(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z))) (.f64 (.f64 y x) (.f64 #s(literal 3 binary64) (*.f64 z z))))))
▶	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))))
	45.2%	(+.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 y x))) (.f64 z z)) (*.f64 z z))
▶	99.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
▶	47.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))

Compiler

Compiled 286 to 164 computations (42.7% saved)

simplify33.0ms (0.5%)

Memory

-25.4MiB live, 12.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z z)
cost-diff	0	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))))
cost-diff	0	(*.f64 y x)
cost-diff	0	(*.f64 z z)
cost-diff	0	(fma.f64 #s(literal 3 binary64) (.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 #s(literal 3 binary64) (.f64 z z))
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
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)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	159
0	39	165
1	65	138
2	90	138
3	138	138
4	149	138
5	151	138
0	151	138

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize92.0ms (1.2%)

Memory

-0.2MiB live, 119.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0.18990121032857504	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))))
accuracy	0.2606119696037318	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)))
accuracy	0.2734375	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 y x)
accuracy	0.2734375	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
accuracy	0	(*.f64 y x)
accuracy	0	(*.f64 #s(literal 3 binary64) z)
accuracy	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
accuracy	0.3320284976055602	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
accuracy	0	(*.f64 z z)
accuracy	0.1875	(.f64 #s(literal 3 binary64) (.f64 z z))
accuracy	33.66565959449674	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
accuracy	0	(*.f64 y x)
accuracy	0	(*.f64 #s(literal 2 binary64) z)
accuracy	0.03515625	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
accuracy	0.24999724760556022	(fma.f64 z z (*.f64 y x))

Samples

75.0ms

256×

valid

Compiler

Compiled 313 to 49 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-add: 32.0ms (53.7% of total)

ival-mult: 23.0ms (38.6% of total)

ival-div: 3.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

22.8MiB live, 22.8MiB allocated

Counts

13 → 48

Calls

Call 1

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

Outputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(* x y)
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(/ 1/3 (pow z 2))
(+ (* -1/9 (/ (* x y) (pow z 4))) (* 1/3 (/ 1 (pow z 2))))
(+ (* x (- (* 1/27 (/ (* x (pow y 2)) (pow z 6))) (* 1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(+ (* x (- (* x (- (* -1/81 (/ (* x (pow y 3)) (pow z 8))) (* -1/27 (/ (pow y 2) (pow z 6))))) (* 1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(/ 1 (* x y))
(/ (+ (* -3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x)
(/ (- (+ (* 9 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ 1 y)) (* 3 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -27 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -9 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 3 (/ (pow z 2) (* x (pow y 2)))))) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (/ (- (* 3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* 9 (/ (pow z 4) (* x (pow y 3)))) (* 3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow z 6) (* x (pow y 4)))) (* 9 (/ (pow z 4) (pow y 3)))) x)) (* 3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))
(+ (* y (- (* 1/27 (/ (* (pow x 2) y) (pow z 6))) (* 1/9 (/ x (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(+ (* y (- (* y (- (* -1/81 (/ (* (pow x 3) y) (pow z 8))) (* -1/27 (/ (pow x 2) (pow z 6))))) (* 1/9 (/ x (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(/ (+ (* -3 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y)
(/ (- (+ (* 9 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 3 (/ (pow z 2) (* (pow x 2) y)))) y)
(/ (- (+ (* -27 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -9 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 3 (/ (pow z 2) (* (pow x 2) y))))) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (/ (- (* 3 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* 9 (/ (pow z 4) (* (pow x 3) y))) (* 3 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow z 6) (* (pow x 4) y))) (* 9 (/ (pow z 4) (pow x 3)))) y)) (* 3 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(* 2 z)
(* 3 z)
(+ (* -3 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* 9 (/ (pow z 2) (* (pow x 3) (pow y 3)))) (* 3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -27 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (* 9 (/ 1 (* (pow x 3) (pow y 3)))))) (* 3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(/ (+ 1/3 (* -1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/3 (* 1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/3 (* -1/81 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/9 (/ (* x y) (pow z 2))))) (pow z 2))

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* 3 (* z z)) (* y x)) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (/ 1 (+ (* 3 (* z z)) (* y x))))
1.0ms	z	@	0	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* 3 (* z z)) (* y x)) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (/ 1 (+ (* 3 (* z z)) (* y x))))
1.0ms	z	@	-inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* 3 (* z z)) (* y x)) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (/ 1 (+ (* 3 (* z z)) (* y x))))
1.0ms	x	@	-inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* 3 (* z z)) (* y x)) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (/ 1 (+ (* 3 (* z z)) (* y x))))
1.0ms	y	@	-inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 3 (* z z)) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* 3 z) (+ (* 3 (* z z)) (* y x)) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (/ 1 (+ (* 3 (* z z)) (* y x))))

simplify326.0ms (4.4%)

Memory

2.9MiB live, 224.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	268	916
1	821	900
2	2453	886
0	8323	830

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(pow z 2)
(+ (* x y) (pow z 2))
(* x y)
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(/ 1/3 (pow z 2))
(+ (* -1/9 (/ (* x y) (pow z 4))) (* 1/3 (/ 1 (pow z 2))))
(+ (* x (- (* 1/27 (/ (* x (pow y 2)) (pow z 6))) (* 1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(+ (* x (- (* x (- (* -1/81 (/ (* x (pow y 3)) (pow z 8))) (* -1/27 (/ (pow y 2) (pow z 6))))) (* 1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(/ 1 (* x y))
(/ (+ (* -3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x)
(/ (- (+ (* 9 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ 1 y)) (* 3 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -27 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -9 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 3 (/ (pow z 2) (* x (pow y 2)))))) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (/ (- (* 3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* 9 (/ (pow z 4) (* x (pow y 3)))) (* 3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow z 6) (* x (pow y 4)))) (* 9 (/ (pow z 4) (pow y 3)))) x)) (* 3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))
(+ (* y (- (* 1/27 (/ (* (pow x 2) y) (pow z 6))) (* 1/9 (/ x (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(+ (* y (- (* y (- (* -1/81 (/ (* (pow x 3) y) (pow z 8))) (* -1/27 (/ (pow x 2) (pow z 6))))) (* 1/9 (/ x (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(/ (+ (* -3 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y)
(/ (- (+ (* 9 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 3 (/ (pow z 2) (* (pow x 2) y)))) y)
(/ (- (+ (* -27 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -9 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 3 (/ (pow z 2) (* (pow x 2) y))))) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (/ (- (* 3 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* 9 (/ (pow z 4) (* (pow x 3) y))) (* 3 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow z 6) (* (pow x 4) y))) (* 9 (/ (pow z 4) (pow x 3)))) y)) (* 3 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(* 2 z)
(* 3 z)
(+ (* -3 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* 9 (/ (pow z 2) (* (pow x 3) (pow y 3)))) (* 3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -27 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (* 9 (/ 1 (* (pow x 3) (pow y 3)))))) (* 3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(/ (+ 1/3 (* -1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/3 (* 1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/3 (* -1/81 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/9 (/ (* x y) (pow z 2))))) (pow z 2))

Outputs
(+ (* 2 (pow z 2)) (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(* x y)
(*.f64 x y)
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y))
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(+ (* -1/9 (/ (* x y) (pow z 4))) (* 1/3 (/ 1 (pow z 2))))
(fma.f64 (.f64 #s(literal -1/9 binary64) y) (/.f64 x (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (.f64 z z)))
(+ (* x (- (* 1/27 (/ (* x (pow y 2)) (pow z 6))) (* 1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/27 binary64) x) y) (/.f64 y (pow.f64 z #s(literal 6 binary64))) (.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) #s(literal -1/9 binary64))) x (/.f64 #s(literal 1/3 binary64) (.f64 z z)))
(+ (* x (- (* x (- (* -1/81 (/ (* x (pow y 3)) (pow z 8))) (* -1/27 (/ (pow y 2) (pow z 6))))) (* 1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/27 binary64) y) (/.f64 y (pow.f64 z #s(literal 6 binary64))) (.f64 (.f64 #s(literal -1/81 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 z #s(literal 8 binary64))))) x (.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) #s(literal -1/9 binary64))) x (/.f64 #s(literal 1/3 binary64) (*.f64 z z)))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* x (+ y (/ (pow z 2) x)))
(*.f64 (fma.f64 z (/.f64 z x) y) x)
(* x (+ y (* 3 (/ (pow z 2) x))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ (+ (* -3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x)
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -3 binary64) x) z) (/.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) y)) x)
(/ (- (+ (* 9 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ 1 y)) (* 3 (/ (pow z 2) (* x (pow y 2))))) x)
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) (/.f64 z y)) (/.f64 z y) (.f64 (/.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) x) (/.f64 #s(literal 1 binary64) y)) x)
(/ (- (+ (* -27 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -9 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 3 (/ (pow z 2) (* x (pow y 2)))))) x)
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) (/.f64 z y)) (/.f64 z y) (.f64 (/.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) x) (/.f64 #s(literal 1 binary64) y))) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(*.f64 (fma.f64 z (/.f64 z x) y) x)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* -1 (/ (- (* 3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -3 binary64) x) z) (/.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (/ (- (* -1 (/ (- (* 9 (/ (pow z 4) (* x (pow y 3)))) (* 3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) (/.f64 z y)) (/.f64 z y) (.f64 (/.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow z 6) (* x (pow y 4)))) (* 9 (/ (pow z 4) (pow y 3)))) x)) (* 3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) (/.f64 z y)) (/.f64 z y) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) x) (pow.f64 y #s(literal 4 binary64))) #s(literal -27 binary64) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) x)) x) (/.f64 #s(literal 1 binary64) y)) x)
(+ (* y (- (* 1/27 (/ (* (pow x 2) y) (pow z 6))) (* 1/9 (/ x (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/27 binary64) x) y) (/.f64 y (pow.f64 z #s(literal 6 binary64))) (.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) #s(literal -1/9 binary64))) x (/.f64 #s(literal 1/3 binary64) (.f64 z z)))
(+ (* y (- (* y (- (* -1/81 (/ (* (pow x 3) y) (pow z 8))) (* -1/27 (/ (pow x 2) (pow z 6))))) (* 1/9 (/ x (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/27 binary64) x) (/.f64 x (pow.f64 z #s(literal 6 binary64))) (.f64 (.f64 #s(literal -1/81 binary64) (/.f64 y (pow.f64 z #s(literal 8 binary64)))) (pow.f64 x #s(literal 3 binary64)))) y (.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64))) #s(literal -1/9 binary64))) y (/.f64 #s(literal 1/3 binary64) (*.f64 z z)))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* y (+ x (/ (pow z 2) y)))
(*.f64 (fma.f64 z (/.f64 z y) x) y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(/ (+ (* -3 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y)
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -3 binary64) x) z) (/.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) y)) x)
(/ (- (+ (* 9 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 3 (/ (pow z 2) (* (pow x 2) y)))) y)
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) (/.f64 z x)) (/.f64 z x) (.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 3 binary64))))) y) (/.f64 #s(literal 1 binary64) x)) y)
(/ (- (+ (* -27 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -9 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 3 (/ (pow z 2) (* (pow x 2) y))))) y)
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) (/.f64 z x)) (/.f64 z x) (.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 3 binary64))))) y) (/.f64 #s(literal 1 binary64) x))) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(*.f64 (fma.f64 z (/.f64 z y) x) y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* -1 (/ (- (* 3 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -3 binary64) x) z) (/.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (/ (- (* -1 (/ (- (* 9 (/ (pow z 4) (* (pow x 3) y))) (* 3 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) (/.f64 z x)) (/.f64 z x) (.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 3 binary64))))) y) (/.f64 #s(literal 1 binary64) x)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow z 6) (* (pow x 4) y))) (* 9 (/ (pow z 4) (pow x 3)))) y)) (* 3 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) (/.f64 z x)) (/.f64 z x) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) y) (pow.f64 x #s(literal 4 binary64))) #s(literal -27 binary64) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) y)) y) (/.f64 #s(literal 1 binary64) x)) y)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(+ (* -3 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -3 binary64) x) z) (/.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) y)) x)
(+ (* (pow z 2) (- (* 9 (/ (pow z 2) (* (pow x 3) (pow y 3)))) (* 3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(fma.f64 (/.f64 (/.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 4 binary64)) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -3 binary64) x) z) (/.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) y)) x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -27 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (* 9 (/ 1 (* (pow x 3) (pow y 3)))))) (* 3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal -27 binary64) (pow.f64 y #s(literal 4 binary64))) z) (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64)) (/.f64 (fma.f64 (.f64 (/.f64 #s(literal -3 binary64) x) z) (/.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) y)) x))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 x z) (/.f64 y z) #s(literal 3 binary64)) (.f64 z z))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 x z) (/.f64 y z) #s(literal 1 binary64)) (.f64 z z))
(/ (+ 1/3 (* -1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/.f64 (fma.f64 (.f64 #s(literal -1/9 binary64) (/.f64 x z)) (/.f64 y z) #s(literal 1/3 binary64)) (.f64 z z))
(/ (- (+ 1/3 (* 1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/.f64 (fma.f64 (.f64 #s(literal 1/27 binary64) (.f64 y (/.f64 y (pow.f64 z #s(literal 4 binary64))))) (.f64 x x) (fma.f64 (.f64 #s(literal -1/9 binary64) (/.f64 x z)) (/.f64 y z) #s(literal 1/3 binary64))) (*.f64 z z))
(/ (- (+ 1/3 (* -1/81 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/9 (/ (* x y) (pow z 2))))) (pow z 2))
(/.f64 (fma.f64 (.f64 #s(literal -1/81 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal 1/27 binary64) (.f64 y (/.f64 y (pow.f64 z #s(literal 4 binary64))))) (.f64 x x) (fma.f64 (.f64 #s(literal -1/9 binary64) (/.f64 x z)) (/.f64 y z) #s(literal 1/3 binary64)))) (.f64 z z))

rewrite547.0ms (7.4%)

Memory

-37.2MiB live, 246.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	117
0	39	120
1	167	96
2	1168	96
0	8285	96

Stop Event

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

Counts

13 → 971

Calls

Call 1

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

Outputs
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eval88.0ms (1.2%)

Memory: -6.4MiB live, 66.7MiB allocated
Compiler: Compiled 12 196 to 1 259 computations (89.7% saved)

prune14.0ms (0.2%)

Memory

28.3MiB live, 28.3MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	418	6	424
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	422	9	431

Accuracy

100.0%

Counts

431 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.7%	(fma.f64 (.f64 #s(literal 2 binary64) z) z (/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x y (*.f64 (neg.f64 z) z))))
▶	95.6%	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z x) y) x)))
✓	99.5%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
▶	47.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 3 (* z z)) (* y x))) (/.f64 #s(literal 1/3 binary64) (*.f64 z z))))
✓	99.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
▶	47.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
▶	47.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
✓	47.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
▶	93.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* (* 3 z) z) (* y x)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)))

Compiler

Compiled 339 to 208 computations (38.6% saved)

simplify166.0ms (2.2%)

Memory

-16.0MiB live, 132.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z z)
cost-diff	0	(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
cost-diff	0	#s(approx (/ 1 (+ (* 3 (* z z)) (* y x))) (/.f64 #s(literal 1/3 binary64) (*.f64 z z)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 3 (* z z)) (* y x))) (/.f64 #s(literal 1/3 binary64) (*.f64 z z))))
cost-diff	0	(fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x)
cost-diff	0	#s(approx (+ (* (* 3 z) z) (* y x)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* (* 3 z) z) (* y x)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)))
cost-diff	704	(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
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	(*.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))
cost-diff	0	#s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z x) y) x))
cost-diff	0	(*.f64 #s(literal 2 binary64) z)
cost-diff	0	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z x) y) x)))
cost-diff	704	(*.f64 (fma.f64 z (/.f64 z x) y) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	264
0	62	252
1	101	240
2	133	240
3	181	240
4	284	237
5	399	234
6	808	234
7	1715	234
8	3314	234
9	5280	234
10	5662	234
11	5774	234
12	5775	234
13	5775	234
0	8088	219

Stop Event

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

Calls

Call 1

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

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

localize220.0ms (3%)

Memory

-12.3MiB live, 206.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z z)
accuracy	0.18990121032857504	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 3 (* z z)) (* y x))) (/.f64 #s(literal 1/3 binary64) (*.f64 z z))))
accuracy	0.205410009768442	(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
accuracy	34.521546627097635	#s(approx (/ 1 (+ (* 3 (* z z)) (* y x))) (/.f64 #s(literal 1/3 binary64) (*.f64 z z)))
accuracy	0	#s(approx (+ (* (* 3 z) z) (* y x)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
accuracy	0.05859375	(fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x)
accuracy	4.021965363000717	(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
accuracy	6.662436962648299	(/.f64 (*.f64 z z) y)
accuracy	0	(+.f64 z z)
accuracy	0	(*.f64 z z)
accuracy	0.078125	(fma.f64 z (+.f64 z z) (*.f64 z z))
accuracy	33.66565959449674	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
accuracy	0	(*.f64 #s(literal 3 binary64) z)
accuracy	0.15625	(.f64 (.f64 #s(literal 3 binary64) z) z)
accuracy	33.66565959449674	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
accuracy	0	#s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z x) y) x))
accuracy	0.03515625	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z x) y) x)))
accuracy	0.05859375	(fma.f64 z (/.f64 z x) y)
accuracy	2.854723496614671	(*.f64 (fma.f64 z (/.f64 z x) y) x)

Samples

173.0ms

256×

valid

Compiler

Compiled 459 to 81 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 41.0ms (63.2% of total)

ival-add: 11.0ms (17% of total)

ival-div: 8.0ms (12.3% of total)

const: 4.0ms (6.2% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.4%)

Memory

13.6MiB live, 50.4MiB allocated

Counts

20 → 63

Calls

Call 1

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

Outputs
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* 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))
(* 3 (/ (pow z 2) y))
(+ x (* 3 (/ (pow z 2) y)))
(/ 1/3 (pow z 2))
(+ (* -1/9 (/ (* x y) (pow z 4))) (* 1/3 (/ 1 (pow z 2))))
(+ (* x (- (* 1/27 (/ (* x (pow y 2)) (pow z 6))) (* 1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(+ (* x (- (* x (- (* -1/81 (/ (* x (pow y 3)) (pow z 8))) (* -1/27 (/ (pow y 2) (pow z 6))))) (* 1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(/ (pow z 2) x)
(/ (+ (* x y) (pow z 2)) x)
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
x
(* x (+ 1 (* 3 (/ (pow z 2) (* x y)))))
(/ 1 (* x y))
(/ (+ (* -3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x)
(/ (- (+ (* 9 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ 1 y)) (* 3 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -27 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -9 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 3 (/ (pow z 2) (* x (pow y 2)))))) x)
y
(+ y (/ (pow z 2) x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (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 (- (* -3 (/ (pow z 2) (* x y))) 1)))
(* -1 (/ (- (* 3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* 9 (/ (pow z 4) (* x (pow y 3)))) (* 3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow z 6) (* x (pow y 4)))) (* 9 (/ (pow z 4) (pow y 3)))) x)) (* 3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))
(/ (+ (* 3 (pow z 2)) (* x y)) y)
(+ (* y (- (* 1/27 (/ (* (pow x 2) y) (pow z 6))) (* 1/9 (/ x (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(+ (* y (- (* y (- (* -1/81 (/ (* (pow x 3) y) (pow z 8))) (* -1/27 (/ (pow x 2) (pow z 6))))) (* 1/9 (/ x (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(/ (pow z 2) y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(/ (+ (* -3 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y)
(/ (- (+ (* 9 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 3 (/ (pow z 2) (* (pow x 2) y)))) y)
(/ (- (+ (* -27 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -9 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 3 (/ (pow z 2) (* (pow x 2) y))))) y)
(* y (+ 1 (/ (pow z 2) (* x y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (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 (/ (- (* 3 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* 9 (/ (pow z 4) (* (pow x 3) y))) (* 3 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow z 6) (* (pow x 4) y))) (* 9 (/ (pow z 4) (pow x 3)))) y)) (* 3 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (pow z 2) (* x y))) 1)))
(* 2 z)
(* 3 z)
(+ (* -3 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* 9 (/ (pow z 2) (* (pow x 3) (pow y 3)))) (* 3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -27 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (* 9 (/ 1 (* (pow x 3) (pow y 3)))))) (* 3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* 3 (/ 1 y)) (/ x (pow z 2))))
(/ (+ 1/3 (* -1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/3 (* 1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/3 (* -1/81 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/9 (/ (* x y) (pow z 2))))) (pow z 2))
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2))))

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	z	@	0	((* (+ (* z (/ z x)) y) x) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (* (+ (* (/ (* z z) y) 3) x) y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (+ (* (/ (* z z) y) 3) x) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (/ 1 (+ (* 3 (* z z)) (* y x))) (/ 1/3 (* z z)) (+ (* z (/ z x)) y) (/ (* z z) y))
3.0ms	z	@	inf	((* (+ (* z (/ z x)) y) x) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (* (+ (* (/ (* z z) y) 3) x) y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (+ (* (/ (* z z) y) 3) x) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (/ 1 (+ (* 3 (* z z)) (* y x))) (/ 1/3 (* z z)) (+ (* z (/ z x)) y) (/ (* z z) y))
2.0ms	z	@	-inf	((* (+ (* z (/ z x)) y) x) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (* (+ (* (/ (* z z) y) 3) x) y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (+ (* (/ (* z z) y) 3) x) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (/ 1 (+ (* 3 (* z z)) (* y x))) (/ 1/3 (* z z)) (+ (* z (/ z x)) y) (/ (* z z) y))
2.0ms	y	@	-inf	((* (+ (* z (/ z x)) y) x) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (* (+ (* (/ (* z z) y) 3) x) y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (+ (* (/ (* z z) y) 3) x) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (/ 1 (+ (* 3 (* z z)) (* y x))) (/ 1/3 (* z z)) (+ (* z (/ z x)) y) (/ (* z z) y))
2.0ms	x	@	0	((* (+ (* z (/ z x)) y) x) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* 3 z) z) (* 3 z) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (* (+ (* (/ (* z z) y) 3) x) y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (+ (* (/ (* z z) y) 3) x) (/ 1 (/ 1 (+ (* 3 (* z z)) (* y x)))) (/ 1 (+ (* 3 (* z z)) (* y x))) (/ 1/3 (* z z)) (+ (* z (/ z x)) y) (/ (* z z) y))

simplify258.0ms (3.5%)

Memory

-2.1MiB live, 154.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	1048
1	896	1032
2	2660	1021
3	7568	1021
0	8956	959

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 61

Calls

Call 1

Inputs
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* 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))
(* 3 (/ (pow z 2) y))
(+ x (* 3 (/ (pow z 2) y)))
(/ 1/3 (pow z 2))
(+ (* -1/9 (/ (* x y) (pow z 4))) (* 1/3 (/ 1 (pow z 2))))
(+ (* x (- (* 1/27 (/ (* x (pow y 2)) (pow z 6))) (* 1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(+ (* x (- (* x (- (* -1/81 (/ (* x (pow y 3)) (pow z 8))) (* -1/27 (/ (pow y 2) (pow z 6))))) (* 1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(/ (pow z 2) x)
(/ (+ (* x y) (pow z 2)) x)
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
x
(* x (+ 1 (* 3 (/ (pow z 2) (* x y)))))
(/ 1 (* x y))
(/ (+ (* -3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x)
(/ (- (+ (* 9 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ 1 y)) (* 3 (/ (pow z 2) (* x (pow y 2))))) x)
(/ (- (+ (* -27 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -9 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 3 (/ (pow z 2) (* x (pow y 2)))))) x)
y
(+ y (/ (pow z 2) x))
(* -1 (* x (+ (* -1 y) (* -1 (/ (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 (- (* -3 (/ (pow z 2) (* x y))) 1)))
(* -1 (/ (- (* 3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* 9 (/ (pow z 4) (* x (pow y 3)))) (* 3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow z 6) (* x (pow y 4)))) (* 9 (/ (pow z 4) (pow y 3)))) x)) (* 3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))
(/ (+ (* 3 (pow z 2)) (* x y)) y)
(+ (* y (- (* 1/27 (/ (* (pow x 2) y) (pow z 6))) (* 1/9 (/ x (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(+ (* y (- (* y (- (* -1/81 (/ (* (pow x 3) y) (pow z 8))) (* -1/27 (/ (pow x 2) (pow z 6))))) (* 1/9 (/ x (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(/ (pow z 2) y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(/ (+ (* -3 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y)
(/ (- (+ (* 9 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 3 (/ (pow z 2) (* (pow x 2) y)))) y)
(/ (- (+ (* -27 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -9 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 3 (/ (pow z 2) (* (pow x 2) y))))) y)
(* y (+ 1 (/ (pow z 2) (* x y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (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 (/ (- (* 3 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* 9 (/ (pow z 4) (* (pow x 3) y))) (* 3 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow z 6) (* (pow x 4) y))) (* 9 (/ (pow z 4) (pow x 3)))) y)) (* 3 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(* -1 (* y (- (* -1 (/ (pow z 2) (* x y))) 1)))
(* 2 z)
(* 3 z)
(+ (* -3 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* 9 (/ (pow z 2) (* (pow x 3) (pow y 3)))) (* 3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -27 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (* 9 (/ 1 (* (pow x 3) (pow y 3)))))) (* 3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* 3 (/ 1 y)) (/ x (pow z 2))))
(/ (+ 1/3 (* -1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/3 (* 1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/3 (* -1/81 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/9 (/ (* x y) (pow z 2))))) (pow z 2))
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2))))

Outputs
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 y x (*.f64 z z))
(+ (* 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))
(* 3 (/ (pow z 2) y))
(.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))
(+ x (* 3 (/ (pow z 2) y)))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x)
(/ 1/3 (pow z 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 z z))
(+ (* -1/9 (/ (* x y) (pow z 4))) (* 1/3 (/ 1 (pow z 2))))
(fma.f64 (.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) x) #s(literal -1/9 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 z z)))
(+ (* x (- (* 1/27 (/ (* x (pow y 2)) (pow z 6))) (* 1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(fma.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 1/27 binary64)) (/.f64 x (pow.f64 z #s(literal 6 binary64))) (.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) #s(literal -1/9 binary64))) x (/.f64 #s(literal 1/3 binary64) (.f64 z z)))
(+ (* x (- (* x (- (* -1/81 (/ (* x (pow y 3)) (pow z 8))) (* -1/27 (/ (pow y 2) (pow z 6))))) (* 1/9 (/ y (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/81 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 8 binary64))) (/.f64 (.f64 (.f64 y y) #s(literal 1/27 binary64)) (pow.f64 z #s(literal 6 binary64)))) x (.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) #s(literal -1/9 binary64))) x (/.f64 #s(literal 1/3 binary64) (*.f64 z z)))
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (+ (* x y) (pow z 2)) x)
(/.f64 (fma.f64 y x (*.f64 z z)) x)
(* x y)
(*.f64 y x)
(* x (+ y (/ (pow z 2) x)))
(*.f64 (fma.f64 (/.f64 z x) z y) x)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* x (+ y (* 3 (/ (pow z 2) x))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
x
(* x (+ 1 (* 3 (/ (pow z 2) (* x y)))))
(.f64 (fma.f64 (/.f64 (/.f64 (.f64 z z) x) y) #s(literal 3 binary64) #s(literal 1 binary64)) x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ (+ (* -3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x)
(/.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 z z) x) y) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(/ (- (+ (* 9 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (/ 1 y)) (* 3 (/ (pow z 2) (* x (pow y 2))))) x)
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) z) (/.f64 (/.f64 z y) y) (.f64 (/.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) x) (/.f64 #s(literal 1 binary64) y)) x)
(/ (- (+ (* -27 (/ (pow z 6) (* (pow x 3) (pow y 4)))) (/ 1 y)) (+ (* -9 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* 3 (/ (pow z 2) (* x (pow y 2)))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) z) (/.f64 (/.f64 z y) y) (.f64 (/.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) x) (/.f64 #s(literal 1 binary64) y))) x)
y
(+ y (/ (pow z 2) x))
(fma.f64 (/.f64 z x) z y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(*.f64 (fma.f64 (/.f64 z x) z y) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64) y) x)
(* -1 (* x (- (* -3 (/ (pow z 2) (* x y))) 1)))
(.f64 (neg.f64 x) (fma.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 z z) x) y) #s(literal -1 binary64)))
(* -1 (/ (- (* 3 (/ (pow z 2) (* x (pow y 2)))) (/ 1 y)) x))
(/.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 z z) x) y) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (/ (- (* -1 (/ (- (* 9 (/ (pow z 4) (* x (pow y 3)))) (* 3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) z) (/.f64 (/.f64 z y) y) (.f64 (/.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) x))) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow z 6) (* x (pow y 4)))) (* 9 (/ (pow z 4) (pow y 3)))) x)) (* 3 (/ (pow z 2) (pow y 2)))) x)) (/ 1 y)) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) z) (/.f64 (/.f64 z y) y) (/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal -9 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) x))) (neg.f64 x))) x) (/.f64 #s(literal 1 binary64) y)) x)
(/ (+ (* 3 (pow z 2)) (* x y)) y)
(/.f64 (fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 y x)) y)
(+ (* y (- (* 1/27 (/ (* (pow x 2) y) (pow z 6))) (* 1/9 (/ x (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/27 binary64)) (/.f64 y (pow.f64 z #s(literal 6 binary64))) (.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64))) #s(literal -1/9 binary64))) y (/.f64 #s(literal 1/3 binary64) (.f64 z z)))
(+ (* y (- (* y (- (* -1/81 (/ (* (pow x 3) y) (pow z 8))) (* -1/27 (/ (pow x 2) (pow z 6))))) (* 1/9 (/ x (pow z 4))))) (* 1/3 (/ 1 (pow z 2))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/81 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 8 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/27 binary64)) (pow.f64 z #s(literal 6 binary64)))) y (.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64))) #s(literal -1/9 binary64))) y (/.f64 #s(literal 1/3 binary64) (*.f64 z z)))
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(* y (+ x (/ (pow z 2) y)))
(*.f64 (fma.f64 z (/.f64 z y) x) y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(/ (+ (* -3 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y)
(/.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 z z) x) y) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(/ (- (+ (* 9 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (/ 1 x)) (* 3 (/ (pow z 2) (* (pow x 2) y)))) y)
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) z) (/.f64 (/.f64 z x) x) (.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) y))) y) (/.f64 #s(literal 1 binary64) x)) y)
(/ (- (+ (* -27 (/ (pow z 6) (* (pow x 4) (pow y 3)))) (/ 1 x)) (+ (* -9 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* 3 (/ (pow z 2) (* (pow x 2) y))))) y)
(/.f64 (fma.f64 (/.f64 #s(literal -27 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) z) (/.f64 (/.f64 z x) x) (.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) y))) y) (/.f64 #s(literal 1 binary64) x))) y)
(* y (+ 1 (/ (pow z 2) (* x y))))
(fma.f64 (/.f64 (/.f64 (*.f64 z z) x) y) y y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(*.f64 (fma.f64 z (/.f64 z y) x) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
(* -1 (/ (- (* 3 (/ (pow z 2) (* (pow x 2) y))) (/ 1 x)) y))
(/.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 z z) x) y) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (/ (- (* -1 (/ (- (* 9 (/ (pow z 4) (* (pow x 3) y))) (* 3 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) z) (/.f64 (/.f64 z x) x) (.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) y))) y) (/.f64 #s(literal 1 binary64) x)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ (pow z 6) (* (pow x 4) y))) (* 9 (/ (pow z 4) (pow x 3)))) y)) (* 3 (/ (pow z 2) (pow x 2)))) y)) (/ 1 x)) y))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) z) (/.f64 (/.f64 z x) x) (/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) y))) (neg.f64 y))) y) (/.f64 #s(literal 1 binary64) x)) y)
(* -1 (* y (- (* -1 (/ (pow z 2) (* x y))) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 z z) x) y)) (neg.f64 y))
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(+ (* -3 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))
(/.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (*.f64 z z) x) y) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(+ (* (pow z 2) (- (* 9 (/ (pow z 2) (* (pow x 3) (pow y 3)))) (* 3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(fma.f64 (fma.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 z (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal -3 binary64) (.f64 (.f64 (.f64 x x) y) y))) (.f64 z z) (/.f64 #s(literal 1 binary64) (.f64 y x)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -27 (/ (pow z 2) (* (pow x 4) (pow y 4)))) (* 9 (/ 1 (* (pow x 3) (pow y 3)))))) (* 3 (/ 1 (* (pow x 2) (pow y 2)))))) (/ 1 (* x y)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 y #s(literal 4 binary64)))) #s(literal -27 binary64) (/.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (.f64 z z) (/.f64 #s(literal -3 binary64) (.f64 (.f64 (.f64 x x) y) y))) (.f64 z z) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 1 binary64)) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(.f64 (fma.f64 (/.f64 y z) (/.f64 x z) #s(literal 3 binary64)) (.f64 z z))
(* (pow z 2) (+ (* 3 (/ 1 y)) (/ x (pow z 2))))
(.f64 (.f64 (+.f64 (/.f64 x (*.f64 z z)) (/.f64 #s(literal 3 binary64) y)) z) z)
(/ (+ 1/3 (* -1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/.f64 (fma.f64 (.f64 #s(literal -1/9 binary64) x) (/.f64 y (.f64 z z)) #s(literal 1/3 binary64)) (*.f64 z z))
(/ (- (+ 1/3 (* 1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4)))) (* 1/9 (/ (* x y) (pow z 2)))) (pow z 2))
(/.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 1/27 binary64)) (.f64 x (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal -1/9 binary64) x) (/.f64 y (.f64 z z)) #s(literal 1/3 binary64))) (.f64 z z))
(/ (- (+ 1/3 (* -1/81 (/ (* (pow x 3) (pow y 3)) (pow z 6)))) (+ (* -1/27 (/ (* (pow x 2) (pow y 2)) (pow z 4))) (* 1/9 (/ (* x y) (pow z 2))))) (pow z 2))
(/.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1/81 binary64) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (.f64 (.f64 y y) #s(literal 1/27 binary64)) (.f64 x (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal -1/9 binary64) x) (/.f64 y (.f64 z z)) #s(literal 1/3 binary64)))) (*.f64 z z))
(* (pow z 2) (+ (/ 1 x) (/ y (pow z 2))))
(.f64 z (fma.f64 (/.f64 y (.f64 z z)) z (/.f64 z x)))

rewrite352.0ms (4.8%)

Memory

21.5MiB live, 301.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	241
0	62	229
1	265	216
2	1836	216
0	9431	206

Stop Event

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

Counts

20 → 1 053

Calls

Call 1

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

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

eval179.0ms (2.4%)

Memory: -6.9MiB live, 222.5MiB allocated
Compiler: Compiled 25 732 to 2 554 computations (90.1% saved)

prune19.0ms (0.3%)

Memory

18.4MiB live, 56.2MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	757	4	761
Fresh	1	0	1
Picked	1	4	5
Done	0	3	3
Total	759	11	770

Accuracy

100.0%

Counts

770 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.6%	(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z x) y) x)))
✓	99.5%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
✓	47.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 3 (* z z)) (* y x))) (/.f64 #s(literal 1/3 binary64) (*.f64 z z))))
✓	99.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
✓	47.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
▶	23.8%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z (*.f64 #s(literal 2 binary64) z)))
▶	23.8%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z #s(literal 2 binary64) (*.f64 z z)))
✓	47.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
✓	47.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
✓	93.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* (* 3 z) z) (* y x)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)))
▶	41.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* (* 3 z) z) (* y x)) (.f64 #s(approx (+ ( (/ (* z z) y) 3) x) (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))) y)))

Compiler

Compiled 263 to 152 computations (42.2% saved)

simplify307.0ms (4.2%)

Memory

-23.6MiB live, 133.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 z (/.f64 z x) y)
cost-diff	0	#s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z x) y) x))
cost-diff	0	(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z x) y) x)))
cost-diff	704	(*.f64 (fma.f64 z (/.f64 z x) y) x)
cost-diff	0	(*.f64 #s(literal 2 binary64) z)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z (*.f64 #s(literal 2 binary64) z)))
cost-diff	192	(fma.f64 z z (*.f64 #s(literal 2 binary64) z))
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z #s(literal 2 binary64) (*.f64 z z)))
cost-diff	192	(fma.f64 z #s(literal 2 binary64) (*.f64 z z))
cost-diff	0	#s(approx (+ (* (/ (* z z) y) 3) x) (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (/ (* z z) y) 3) x) (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))) y)
cost-diff	0	#s(approx (+ (* (* 3 z) z) (* y x)) (.f64 #s(approx (+ ( (/ (* z z) y) 3) x) (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))) y))
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* (* 3 z) z) (* y x)) (.f64 #s(approx (+ ( (/ (* z z) y) 3) x) (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))) y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	254
0	52	250
1	86	244
2	115	232
3	149	232
4	169	232
5	188	229
6	211	229
7	542	229
8	1703	229
9	3699	229
10	4454	229
11	5013	229
12	5541	229
13	5910	229
14	5923	229
15	7441	229
16	7807	229
0	8336	215

Stop Event

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

Calls

Call 1

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

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

localize177.0ms (2.4%)

Memory

18.2MiB live, 108.7MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z x) y) x))
accuracy	0.03515625	(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z x) y) x)))
accuracy	0.05859375	(fma.f64 z (/.f64 z x) y)
accuracy	2.854723496614671	(*.f64 (fma.f64 z (/.f64 z x) y) x)
accuracy	0	(fma.f64 z z (*.f64 #s(literal 2 binary64) z))
accuracy	0	(*.f64 #s(literal 2 binary64) z)
accuracy	48.751893329522	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z (*.f64 #s(literal 2 binary64) z)))
accuracy	0	(*.f64 z z)
accuracy	0.01171875	(fma.f64 z #s(literal 2 binary64) (*.f64 z z))
accuracy	48.751893329522	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z #s(literal 2 binary64) (*.f64 z z)))
accuracy	0.140625	(.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))
accuracy	4.021965363000717	(.f64 #s(approx (+ ( (/ (* z z) y) 3) x) (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))) y)
accuracy	6.662436962648299	(/.f64 (*.f64 z z) y)
accuracy	34.714564764399356	#s(approx (+ (* (/ (* z z) y) 3) x) (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)))

Samples

160.0ms

256×

valid

Compiler

Compiled 417 to 69 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 33.0ms (68.8% of total)

ival-add: 11.0ms (22.9% of total)

ival-div: 3.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.2%)

Memory

-33.7MiB live, 42.5MiB allocated

Counts

16 → 39

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* (+ (* (/ (* z z) y) 3) x) y) (+ (* (/ (* z z) y) 3) x) (+ (* z 2) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ (* z z) (* 2 z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 2 z) (* (+ (* z (/ z x)) y) x) (+ (* (+ z z) z) (+ (* z z) (* y x))) (+ (* z z) (* y x)) (+ (* z (/ z x)) y) (/ (* z z) y) (* (/ (* z z) y) 3))
2.0ms	z	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* (+ (* (/ (* z z) y) 3) x) y) (+ (* (/ (* z z) y) 3) x) (+ (* z 2) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ (* z z) (* 2 z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 2 z) (* (+ (* z (/ z x)) y) x) (+ (* (+ z z) z) (+ (* z z) (* y x))) (+ (* z z) (* y x)) (+ (* z (/ z x)) y) (/ (* z z) y) (* (/ (* z z) y) 3))
2.0ms	y	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* (+ (* (/ (* z z) y) 3) x) y) (+ (* (/ (* z z) y) 3) x) (+ (* z 2) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ (* z z) (* 2 z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 2 z) (* (+ (* z (/ z x)) y) x) (+ (* (+ z z) z) (+ (* z z) (* y x))) (+ (* z z) (* y x)) (+ (* z (/ z x)) y) (/ (* z z) y) (* (/ (* z z) y) 3))
1.0ms	z	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* (+ (* (/ (* z z) y) 3) x) y) (+ (* (/ (* z z) y) 3) x) (+ (* z 2) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ (* z z) (* 2 z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 2 z) (* (+ (* z (/ z x)) y) x) (+ (* (+ z z) z) (+ (* z z) (* y x))) (+ (* z z) (* y x)) (+ (* z (/ z x)) y) (/ (* z z) y) (* (/ (* z z) y) 3))
1.0ms	x	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* 3 z) z) (* y x)) (* (+ (* (/ (* z z) y) 3) x) y) (+ (* (/ (* z z) y) 3) x) (+ (* z 2) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ (* z z) (* 2 z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* 2 z) (* (+ (* z (/ z x)) y) x) (+ (* (+ z z) z) (+ (* z z) (* y x))) (+ (* z z) (* y x)) (+ (* z (/ z x)) y) (/ (* z z) y) (* (/ (* z z) y) 3))

simplify150.0ms (2%)

Memory

24.8MiB live, 182.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	317
1	343	273
2	1007	273
3	3847	273
4	7273	273
0	8395	246

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 37

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

rewrite160.0ms (2.2%)

Memory

11.3MiB live, 175.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	235
0	52	231
1	227	212
2	1921	198
0	8973	190

Stop Event

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

Counts

16 → 301

Calls

Call 1

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

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

eval62.0ms (0.8%)

Memory: -10.5MiB live, 69.3MiB allocated
Compiler: Compiled 9 697 to 1 108 computations (88.6% saved)

prune15.0ms (0.2%)

Memory

-9.3MiB live, 28.1MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	251	5	256
Fresh	0	0	0
Picked	3	1	4
Done	1	6	7
Total	255	12	267

Accuracy

100.0%

Counts

267 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.6%	(fma.f64 (+.f64 z z) z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 z (/.f64 z x) y) x)))
✓	99.5%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
✓	47.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 3 (* z z)) (* y x))) (/.f64 #s(literal 1/3 binary64) (*.f64 z z))))
✓	99.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
✓	47.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
	27.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 binary64)))
	23.8%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (+.f64 #s(literal 2 binary64) z) z))
✓	47.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
	58.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
✓	47.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
	41.1%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* (* 3 z) z) (* y x)) (.f64 #s(approx (+ ( (/ (* z z) y) 3) x) (.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)))) y)))
	4.8%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z 2) (* z z)) (*.f64 #s(literal 2 binary64) z)))

Compiler

Compiled 813 to 268 computations (67% saved)

regimes50.0ms (0.7%)

Memory

-9.2MiB live, 75.3MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

6 calls:

11.0ms	y
11.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
7.0ms	x
7.0ms	z
7.0ms	(*.f64 x y)

Results

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

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes27.0ms (0.4%)

Memory

8.6MiB live, 45.8MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z 2) (* z z)) (*.f64 #s(literal 2 binary64) z)))
#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 z #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (+.f64 #s(literal 2 binary64) z) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
#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)) (fma.f64 z #s(literal 2 binary64) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z (*.f64 #s(literal 2 binary64) z)))
#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 #s(literal 3 binary64) (.f64 z z) (.f64 y x))

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

Calls

6 calls:

7.0ms	y
4.0ms	z
4.0ms	x
4.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
4.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`y`
99.5%	1	`z`
99.5%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.5%	1	`(*.f64 x y)`
99.5%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes25.0ms (0.3%)

Memory

6.6MiB live, 44.4MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z 2) (* z z)) (*.f64 #s(literal 2 binary64) z)))
#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 z #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (+.f64 #s(literal 2 binary64) z) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
#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)) (fma.f64 z #s(literal 2 binary64) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z (*.f64 #s(literal 2 binary64) z)))
#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)))

Calls

6 calls:

6.0ms	z
4.0ms	y
4.0ms	x
4.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
4.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`y`
99.5%	1	`z`
99.5%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.5%	1	`(*.f64 x y)`
99.5%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes23.0ms (0.3%)

Memory

5.1MiB live, 42.5MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z 2) (* z z)) (*.f64 #s(literal 2 binary64) z)))
#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 z #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (+.f64 #s(literal 2 binary64) z) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
#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)) (fma.f64 z #s(literal 2 binary64) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z (*.f64 #s(literal 2 binary64) z)))
#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:

6.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
3.0ms	x
3.0ms	y
3.0ms	z
3.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
76.4%	3	`x`
69.3%	3	`y`
85.0%	2	`z`
73.5%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
78.3%	3	`(*.f64 x y)`
85.0%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes6.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z 2) (* z z)) (*.f64 #s(literal 2 binary64) z)))
#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 z #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (+.f64 #s(literal 2 binary64) z) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
#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)) (fma.f64 z #s(literal 2 binary64) (*.f64 z z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z (*.f64 #s(literal 2 binary64) 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:

3.0ms	z
3.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
85.0%	2	`z`
85.0%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes12.0ms (0.2%)

Memory

-30.2MiB live, 10.9MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z 2) (* z z)) (*.f64 #s(literal 2 binary64) z)))
#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 z #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (+.f64 #s(literal 2 binary64) z) z))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.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)) (.f64 #s(literal 3 binary64) (.f64 z z)))

Calls

2 calls:

9.0ms	(*.f64 z z)
3.0ms	z

Results

Accuracy	Segments	Branch
84.9%	2	`z`
84.9%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes6.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z 2) (* z z)) (*.f64 #s(literal 2 binary64) z)))
#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 z #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 (+.f64 #s(literal 2 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)) (fma.f64 z z #s(literal 0 binary64)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
64.6%	3	`(*.f64 x y)`
75.6%	2	`z`
75.6%	2	`(*.f64 z z)`

Compiler

Compiled 7 to 11 computations (-57.1% saved)

regimes12.0ms (0.2%)

Memory

-10.5MiB live, 27.2MiB allocated

Counts

2 → 1

Calls

Call 1

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

4.0ms	y
2.0ms	z
2.0ms	(*.f64 x y)
2.0ms	x
2.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Results

Accuracy	Segments	Branch
58.7%	1	`(*.f64 x y)`
58.7%	1	`y`
58.7%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
58.7%	1	`x`
58.7%	1	`z`
58.7%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes12.0ms (0.2%)

Memory

-2.0MiB live, 33.6MiB 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)) #s(approx (+ (* z 2) (* z z)) (*.f64 #s(literal 2 binary64) z)))

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

Calls

6 calls:

4.0ms	(*.f64 x y)
1.0ms	x
1.0ms	y
1.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
1.0ms	z

Results

Accuracy	Segments	Branch
4.8%	1	`(*.f64 x y)`
4.8%	1	`x`
4.8%	1	`y`
4.8%	1	`z`
4.8%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
4.8%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.85568724552702e-20	4.115347907656606e-16

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.85568724552702e-20	4.115347907656606e-16

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.85568724552702e-20	4.115347907656606e-16

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1961534204120231e+292	2.6648150596127996e+295

Compiler

Compiled 14 to 14 computations (0% saved)

simplify41.0ms (0.5%)

Memory

3.9MiB live, 92.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	275
1	47	275

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
(if (<=.f64 (.f64 z z) #s(literal 2076918743413931/41538374868278621028243970633760768 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 2076918743413931/41538374868278621028243970633760768 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)))
(if (<=.f64 (.f64 z z) #s(literal 2076918743413931/41538374868278621028243970633760768 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 #s(literal 3 binary64) (.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 20000000000000000265131979567148325361373122179172920071264062955884985453808506429231958836078724999454749277131784181976245949300014051569103476605493463371814790630510549293722116375116429235158992403665324705171077671147273195044215123421883037120057498753668190357102577928230111451021312 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 z #s(literal 0 binary64))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z 2) (* z z)) (*.f64 #s(literal 2 binary64) z)))

Outputs
(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
(fma.f64 (.f64 z #s(literal 2 binary64)) z (fma.f64 z z (.f64 x y)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
#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)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 x y)))
(if (<=.f64 (.f64 z z) #s(literal 2076918743413931/41538374868278621028243970633760768 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 2076918743413931/41538374868278621028243970633760768 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #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 2076918743413931/41538374868278621028243970633760768 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)))
(if (<=.f64 (.f64 z z) #s(literal 2076918743413931/41538374868278621028243970633760768 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 (.f64 z z) #s(literal 2076918743413931/41538374868278621028243970633760768 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 #s(literal 3 binary64) (.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 2076918743413931/41538374868278621028243970633760768 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #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 20000000000000000265131979567148325361373122179172920071264062955884985453808506429231958836078724999454749277131784181976245949300014051569103476605493463371814790630510549293722116375116429235158992403665324705171077671147273195044215123421883037120057498753668190357102577928230111451021312 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 z #s(literal 0 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 20000000000000000265131979567148325361373122179172920071264062955884985453808506429231958836078724999454749277131784181976245949300014051569103476605493463371814790630510549293722116375116429235158992403665324705171077671147273195044215123421883037120057498753668190357102577928230111451021312 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z z #s(literal 0 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 x y))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z 2) (* z z)) (*.f64 #s(literal 2 binary64) z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) #s(approx (+ (* z 2) (* z z)) (*.f64 z #s(literal 2 binary64))))

soundness1.7s (23%)

Memory

36.7MiB live, 1 018.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	117
0	39	120
1	167	96
2	1168	96
0	8285	96
0	101	317
1	343	273
2	1007	273
3	3847	273
4	7273	273
0	8395	246
0	291	1048
1	896	1032
2	2660	1021
3	7568	1021
0	8956	959
0	36	235
0	52	231
1	227	212
2	1921	198
0	8973	190
0	70	208
1	244	180
2	752	180
3	2132	180
4	5815	180
0	8129	161
0	41	241
0	62	229
1	265	216
2	1836	216
0	9431	206
0	8	36
0	13	36
1	55	32
2	517	26
3	7580	26
0	8184	23
0	268	916
1	821	900
2	2453	886
0	8323	830

Stop Event

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

Compiler

Compiled 591 to 280 computations (52.6% saved)

preprocess102.0ms (1.4%)

Memory

4.9MiB live, 193.6MiB allocated

Remove

(sort x y)

(abs z)

Compiler

Compiled 862 to 310 computations (64% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (18.4%)

explain110.0ms (1.5%)

preprocess70.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize61.0ms (0.8%)

series7.0ms (0.1%)

simplify116.0ms (1.6%)

rewrite300.0ms (4.1%)

eval115.0ms (1.6%)

prune8.0ms (0.1%)

simplify33.0ms (0.5%)

localize92.0ms (1.2%)

series13.0ms (0.2%)

simplify326.0ms (4.4%)

rewrite547.0ms (7.4%)

eval88.0ms (1.2%)

prune14.0ms (0.2%)

simplify166.0ms (2.2%)

localize220.0ms (3%)

series30.0ms (0.4%)

simplify258.0ms (3.5%)

rewrite352.0ms (4.8%)

eval179.0ms (2.4%)

prune19.0ms (0.3%)

simplify307.0ms (4.2%)

localize177.0ms (2.4%)

series18.0ms (0.2%)

simplify150.0ms (2%)

rewrite160.0ms (2.2%)

eval62.0ms (0.8%)

prune15.0ms (0.2%)

regimes50.0ms (0.7%)

regimes27.0ms (0.4%)

regimes25.0ms (0.3%)

regimes23.0ms (0.3%)

regimes6.0ms (0.1%)

regimes12.0ms (0.2%)

regimes6.0ms (0.1%)

regimes12.0ms (0.2%)

regimes12.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify41.0ms (0.5%)

soundness1.7s (23%)

preprocess102.0ms (1.4%)

end0.0ms (0%)

Profiling