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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 17 to 10 computations (41.2% saved)

sample872.0ms (15.7%)

Memory

21.0MiB live, 1 368.2MiB allocated; 355ms collecting garbage

Samples

541.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 300.0ms

ival-mult: 154.0ms (51.4% of total)

ival-add: 135.0ms (45% of total)

ival-true: 5.0ms (1.7% of total)

ival-assert: 3.0ms (1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain112.0ms (2%)

Memory

16.5MiB live, 348.8MiB allocated; 25ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 z z))`	nan-rescue	3	0
↳	`(*.f64 x y)`	overflow	31
↳	`(*.f64 z z)`	overflow	70
`+.f64`	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`	nan-rescue	2	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	overflow	93
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	93
↳	`(*.f64 x y)`	overflow	31
↳	`(*.f64 z z)`	overflow	140
↳	`(*.f64 z z)`	overflow	70
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	nan-rescue	2	0
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	93
↳	`(*.f64 x y)`	overflow	31
↳	`(*.f64 z z)`	overflow	70
↳	`(*.f64 z z)`	overflow	70

Confusion

	Predicted +	Predicted -
+	3	0
-	0	253

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	0	0	253

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	253
1	1
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

35.0ms

512×

valid

Compiler

Compiled 103 to 28 computations (72.8% saved)

Precisions

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

ival-mult: 7.0ms (50.9% of total)

ival-add: 6.0ms (43.6% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess86.0ms (1.5%)

Memory

1.8MiB live, 93.3MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	142
1	129	120
2	373	84
3	946	82
4	2093	81
5	3017	81
6	3501	81
7	3666	81
8	3786	81
9	3786	81
0	8	15
0	13	15
1	28	13
2	90	9
3	270	9
4	643	9
5	932	9
6	1184	9
7	1292	9
8	1372	9
0	1372	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: 0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify30.0ms (0.5%)

Memory

8.4MiB live, 52.7MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	1	(+.f64 (.f64 x y) (.f64 z z))
cost-diff	2	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
cost-diff	4	(+.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	28	38
2	90	34
3	270	34
4	643	34
5	932	34
6	1184	34
7	1292	34
8	1372	34
0	1372	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

localize40.0ms (0.7%)

Memory

-1.2MiB live, 60.7MiB allocated; 33ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.49999587166041165	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
accuracy	0.5312458716604116	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
accuracy	0.6992146216604117	(+.f64 (.f64 x y) (.f64 z z))

Samples

34.0ms

256×

valid

Compiler

Compiled 44 to 10 computations (77.3% saved)

Precisions

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

ival-add: 3.0ms (45.1% of total)

ival-mult: 3.0ms (45.1% of total)

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

adjust: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Counts

4 → 24

Calls

Call 1

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

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

Calls

9 calls:

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

simplify102.0ms (1.8%)

Memory

-7.1MiB live, 183.2MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	208
1	281	180
2	997	180
3	4202	180
0	8237	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 y x (.f64 (.f64 z z) #s(literal 2 binary64)))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 y x (*.f64 z z))
(* 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 y x (.f64 (.f64 z z) #s(literal 2 binary64)))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 y x (*.f64 z z))
(* -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 y x (.f64 (.f64 z z) #s(literal 2 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 y x (*.f64 z z))
(* 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 y x (.f64 (.f64 z z) #s(literal 2 binary64)))
(* y (+ x (/ (pow z 2) y)))
(fma.f64 y x (*.f64 z z))
(* -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 y x (.f64 (.f64 z z) #s(literal 2 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 y x (*.f64 z z))
(+ (* 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 y x (.f64 (.f64 z z) #s(literal 2 binary64)))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 y x (*.f64 z z))

rewrite263.0ms (4.7%)

Memory

0.1MiB live, 269.8MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
0	13	36
1	63	32
2	637	24
0	9212	20

Stop Event

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

Counts

4 → 244

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

eval48.0ms (0.9%)

Memory: 14.7MiB live, 58.1MiB allocated; 9ms collecting garbage
Compiler: Compiled 8 183 to 794 computations (90.3% saved)

prune4.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	247	4	251
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	248	4	252

Accuracy

100.0%

Counts

252 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.9%	(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
▶	98.8%	(-.f64 (fma.f64 z z (.f64 y x)) (.f64 #s(literal -2 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)))
▶	48.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))

Compiler

Compiled 64 to 40 computations (37.5% saved)

simplify41.0ms (0.7%)

Memory

-40.8MiB live, 21.2MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
cost-diff	1	(fma.f64 y x #s(literal 0 binary64))
cost-diff	0	(.f64 #s(literal -2 binary64) (.f64 z z))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 z z (*.f64 y x))
cost-diff	4	(-.f64 (fma.f64 z z (.f64 y x)) (.f64 #s(literal -2 binary64) (*.f64 z z)))
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)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	121
0	36	113
1	77	109
2	237	101
3	687	101
4	1191	101
5	1446	101
6	1728	101
7	1858	101
8	1978	101
0	1978	101

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
#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)))
(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
(-.f64 (fma.f64 z z (.f64 y x)) (.f64 #s(literal -2 binary64) (*.f64 z z)))
(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
(fma.f64 z z (*.f64 y x))
z
(*.f64 y x)
y
x
(.f64 #s(literal -2 binary64) (.f64 z z))
(.f64 (.f64 #s(literal -2 binary64) z) z)
#s(literal -2 binary64)
(*.f64 z z)
(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 z z (*.f64 y x))
z
(fma.f64 y x #s(literal 0 binary64))
(*.f64 y x)
y
x
#s(literal 0 binary64)

localize158.0ms (2.8%)

Memory

-5.2MiB live, 80.4MiB allocated; 23ms collecting garbage

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y x #s(literal 0 binary64))
accuracy	0.24999724760556022	(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
accuracy	0.0	(*.f64 y x)
accuracy	0.01171875	(.f64 #s(literal -2 binary64) (.f64 z z))
accuracy	0.24999724760556022	(fma.f64 z z (*.f64 y x))
accuracy	0.5273396216604116	(-.f64 (fma.f64 z z (.f64 y x)) (.f64 #s(literal -2 binary64) (*.f64 z z)))
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(*.f64 #s(literal 3 binary64) z)
accuracy	0.0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
accuracy	0.2929659976055602	(fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))
accuracy	0.0	(*.f64 z z)
accuracy	0.1484375	(.f64 #s(literal 3 binary64) (.f64 z z))
accuracy	32.82265358464778	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))

Samples

136.0ms

256×

valid

Compiler

Compiled 114 to 23 computations (79.8% saved)

Precisions

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

ival-mult: 11.0ms (52.6% of total)

ival-add: 9.0ms (43.1% of total)

ival-sub: 1.0ms (4.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

17.8MiB live, 17.8MiB allocated; 0ms collecting garbage

Counts

12 → 29

Calls

Call 1

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

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

Calls

9 calls:

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

simplify264.0ms (4.7%)

Memory

27.0MiB live, 317.0MiB allocated; 64ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	257
1	345	257
2	1050	257
3	4149	257
0	8199	235

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

Calls

Call 1

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

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

rewrite589.0ms (10.6%)

Memory

-44.7MiB live, 576.8MiB allocated; 179ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	101
0	36	97
1	176	93
2	1505	93
0	8266	90

Stop Event

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

Counts

12 → 2 113

Calls

Call 1

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

Outputs
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
(.f64 (fabs.f64 (.f64 #s(literal 3 binary64) (neg.f64 z))) z)
(.f64 (fabs.f64 (.f64 #s(literal 3 binary64) z)) z)
(.f64 (.f64 #s(literal 3 binary64) (neg.f64 z)) (neg.f64 z))
(.f64 (neg.f64 z) (.f64 (neg.f64 z) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) z) z)
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 z z))
(.f64 z (fabs.f64 (.f64 (neg.f64 z) #s(literal 3 binary64))))
(.f64 z (fabs.f64 (.f64 #s(literal 3 binary64) z)))
(.f64 z (.f64 #s(literal 3 binary64) z))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) z) z)))
(fabs.f64 (.f64 (.f64 #s(literal 3 binary64) z) z))
(*.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 z))))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)))
(*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)))
(*.f64 (neg.f64 z) (neg.f64 z))
(*.f64 z z)
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 z)) #s(literal 2 binary64))
(pow.f64 (neg.f64 z) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 z) z))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 z) z))
(fabs.f64 (*.f64 z z))
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) z) z #s(literal 0 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z #s(literal 0 binary64)) (.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (.f64 #s(literal 3 binary64) z) z))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (.f64 #s(literal 3 binary64) z) z))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (.f64 #s(literal 3 binary64) z) z))))) (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (.f64 #s(literal 3 binary64) z) z))))) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (.f64 #s(literal 3 binary64) z) z))))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (.f64 #s(literal 3 binary64) z) z)))))) (.f64 (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (.f64 #s(literal 3 binary64) z) z))))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (.f64 #s(literal 3 binary64) z) z)))))))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 (neg.f64 y)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (neg.f64 y)) x) (.f64 (neg.f64 (neg.f64 y)) x)) (.f64 (.f64 (.f64 #s(literal 3 binary64) z) z) (.f64 (neg.f64 (neg.f64 y)) x)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (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 0 binary64) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (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 0 binary64) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z (*.f64 y x)) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 3 binary64) z) z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 3 binary64) z) z)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 3 binary64) z) z))) (.f64 (.f64 y x) (+.f64 #s(literal 0 binary64) (.f64 (*.f64 #s(literal 3 binary64) z) z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (-.f64 (.f64 y x) (.f64 (*.f64 #s(literal 3 binary64) z) z))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (.f64 (neg.f64 y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 3 binary64) z) z) (*.f64 (neg.f64 y) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (.f64 #s(literal 3 binary64) z) z)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y))) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (*.f64 (neg.f64 x) y))))
(/.f64 (fma.f64 (.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (.f64 #s(literal 3 binary64) z) z)))) (.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (.f64 #s(literal 3 binary64) z) z)))) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (.f64 #s(literal 3 binary64) z) z)))) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (.f64 #s(literal 3 binary64) z) z))))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (-.f64 (.f64 y x) (.f64 (*.f64 #s(literal 3 binary64) z) z)))
(/.f64 (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (.f64 (neg.f64 y) x) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 3 binary64) z) z) (*.f64 (neg.f64 y) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 (.f64 (.f64 (*.f64 #s(literal 3 binary64) z) z) y) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (.f64 #s(literal 3 binary64) z) z))))))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 (neg.f64 x) y)))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 (.f64 (.f64 (*.f64 #s(literal 3 binary64) z) z) y) x))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 (.f64 #s(literal 3 binary64) z) z)))))
(fma.f64 (/.f64 (.f64 (.f64 y x) y) y) (/.f64 x x) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(fma.f64 (/.f64 (.f64 (.f64 y x) y) y) (/.f64 x x) (.f64 (.f64 #s(literal 3 binary64) z) z))
(fma.f64 (/.f64 (.f64 (.f64 y x) y) x) (/.f64 x y) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(fma.f64 (/.f64 (.f64 (.f64 y x) y) x) (/.f64 x y) (.f64 (.f64 #s(literal 3 binary64) z) z))
(fma.f64 (/.f64 (.f64 (.f64 y x) x) y) (/.f64 y x) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(fma.f64 (/.f64 (.f64 (.f64 y x) x) y) (/.f64 y x) (.f64 (.f64 #s(literal 3 binary64) z) z))
(fma.f64 (/.f64 (.f64 (.f64 y x) x) x) (/.f64 y y) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(fma.f64 (/.f64 (.f64 (.f64 y x) x) x) (/.f64 y y) (.f64 (.f64 #s(literal 3 binary64) z) z))
(fma.f64 (/.f64 (.f64 y y) x) (/.f64 (.f64 x x) y) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(fma.f64 (/.f64 (.f64 y y) x) (/.f64 (.f64 x x) y) (.f64 (.f64 #s(literal 3 binary64) z) z))
(fma.f64 (/.f64 (.f64 x x) y) (/.f64 (.f64 y y) x) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(fma.f64 (/.f64 (.f64 x x) y) (/.f64 (.f64 y y) x) (.f64 (.f64 #s(literal 3 binary64) z) z))
(fma.f64 (/.f64 (.f64 y y) y) (/.f64 (.f64 x x) x) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(fma.f64 (/.f64 (.f64 y y) y) (/.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 3 binary64) z) z))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 (.f64 y y) y) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 (.f64 y y) y) (.f64 (.f64 #s(literal 3 binary64) z) z))
(fma.f64 (/.f64 (fabs.f64 (.f64 y x)) y) (/.f64 (fabs.f64 (.f64 y x)) x) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(fma.f64 (/.f64 (fabs.f64 (.f64 y x)) y) (/.f64 (fabs.f64 (.f64 y x)) x) (.f64 (.f64 #s(literal 3 binary64) z) z))
(fma.f64 (/.f64 (fabs.f64 (.f64 y x)) x) (/.f64 (fabs.f64 (.f64 y x)) y) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(fma.f64 (/.f64 (fabs.f64 (.f64 y x)) x) (/.f64 (fabs.f64 (.f64 y x)) y) (.f64 (.f64 #s(literal 3 binary64) z) z))
(fma.f64 (/.f64 (.f64 (neg.f64 y) x) y) (/.f64 (.f64 (neg.f64 y) x) x) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(fma.f64 (/.f64 (.f64 (neg.f64 y) x) y) (/.f64 (.f64 (neg.f64 y) x) x) (.f64 (.f64 #s(literal 3 binary64) z) z))
(fma.f64 (/.f64 (.f64 (neg.f64 y) x) x) (/.f64 (.f64 (neg.f64 y) x) y) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(fma.f64 (/.f64 (.f64 (neg.f64 y) x) x) (/.f64 (.f64 (neg.f64 y) x) y) (.f64 (.f64 #s(literal 3 binary64) z) z))
(fma.f64 (/.f64 y y) (/.f64 (.f64 x (.f64 y x)) x) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(fma.f64 (/.f64 y y) (/.f64 (.f64 x (.f64 y x)) x) (.f64 (.f64 #s(literal 3 binary64) z) z))
(fma.f64 (/.f64 y x) (/.f64 (.f64 x (.f64 y x)) y) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(fma.f64 (/.f64 y x) (/.f64 (.f64 x (.f64 y x)) y) (.f64 (.f64 #s(literal 3 binary64) z) z))
(fma.f64 (/.f64 x y) (/.f64 (.f64 y (.f64 y x)) x) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 3 binary64) z) z)))
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(fma.f64 (/.f64 (.f64 y x) (.f64 (neg.f64 y) x)) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (neg.f64 y) x)) (+.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (/.f64 (.f64 y x) (.f64 (neg.f64 y) x)) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (neg.f64 y) x)) (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 (/.f64 (.f64 y x) (.f64 (neg.f64 y) x)) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (neg.f64 y) x)) (*.f64 (neg.f64 (neg.f64 z)) z))
(fma.f64 (/.f64 (.f64 y x) (.f64 (neg.f64 y) x)) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (neg.f64 y) x)) (*.f64 z z))
(fma.f64 (/.f64 (.f64 y x) (.f64 y x)) (.f64 y x) (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 z) z)))
(fma.f64 (/.f64 (.f64 y x) (.f64 y x)) (.f64 y x) (+.f64 #s(literal 0 binary64) (.f64 z z)))
(fma.f64 (/.f64 (.f64 y x) (.f64 y x)) (*.f64 y x) (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 (/.f64 (.f64 y x) (.f64 y x)) (.f64 y x) (.f64 (neg.f64 (neg.f64 z)) z))
(fma.f64 (/.f64 (.f64 y x) (.f64 y x)) (.f64 y x) (.f64 z z))
(fma.f64 (/.f64 (.f64 y x) y) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (.f64 y x))) (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z)))
(fma.f64 (/.f64 (.f64 y x) y) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (/.f64 (.f64 y x) y) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (.f64 y x))) (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 (/.f64 (.f64 y x) y) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (.f64 y x))) (*.f64 (neg.f64 (neg.f64 z)) z))
(fma.f64 (/.f64 (.f64 y x) y) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (.f64 y x))) (*.f64 z z))
(fma.f64 (/.f64 (.f64 y x) y) (/.f64 (.f64 y x) x) (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z)))
(fma.f64 (/.f64 (.f64 y x) y) (/.f64 (.f64 y x) x) (+.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (/.f64 (.f64 y x) y) (/.f64 (.f64 y x) x) (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 (/.f64 (.f64 y x) y) (/.f64 (.f64 y x) x) (*.f64 (neg.f64 (neg.f64 z)) z))
(fma.f64 (/.f64 (.f64 y x) y) (/.f64 (.f64 y x) x) (*.f64 z z))
(fma.f64 (/.f64 (.f64 y x) x) (/.f64 (.f64 y x) y) (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z)))
(fma.f64 (/.f64 (.f64 y x) x) (/.f64 (.f64 y x) y) (+.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (/.f64 (.f64 y x) x) (/.f64 (.f64 y x) y) (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 (/.f64 (.f64 y x) x) (/.f64 (.f64 y x) y) (*.f64 (neg.f64 (neg.f64 z)) z))
(fma.f64 (/.f64 (.f64 y x) x) (/.f64 (.f64 y x) y) (*.f64 z z))
(fma.f64 (/.f64 (.f64 y x) x) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y (.f64 y x))) (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z)))
(fma.f64 (/.f64 (.f64 y x) x) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y (.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 (/.f64 (.f64 y x) x) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y (.f64 y x))) (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 (/.f64 (.f64 y x) x) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y (.f64 y x))) (*.f64 (neg.f64 (neg.f64 z)) z))
(fma.f64 (/.f64 (.f64 y x) x) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y (.f64 y x))) (*.f64 z z))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 z))) (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 z))) (*.f64 y x))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (*.f64 y x))
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) (*.f64 y x))
(fma.f64 (fabs.f64 (.f64 y x)) (/.f64 (.f64 y x) (fabs.f64 (.f64 y x))) (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 z) z)))
(fma.f64 (fabs.f64 (.f64 y x)) (/.f64 (.f64 y x) (fabs.f64 (.f64 y x))) (+.f64 #s(literal 0 binary64) (.f64 z z)))
(fma.f64 (fabs.f64 (.f64 y x)) (/.f64 (.f64 y x) (fabs.f64 (*.f64 y x))) (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 (fabs.f64 (.f64 y x)) (/.f64 (.f64 y x) (fabs.f64 (.f64 y x))) (.f64 (neg.f64 (neg.f64 z)) z))
(fma.f64 (fabs.f64 (.f64 y x)) (/.f64 (.f64 y x) (fabs.f64 (.f64 y x))) (.f64 z z))
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 y x))
(fma.f64 (.f64 y x) (/.f64 (.f64 y x) (.f64 y x)) (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 z) z)))
(fma.f64 (.f64 y x) (/.f64 (.f64 y x) (.f64 y x)) (+.f64 #s(literal 0 binary64) (.f64 z z)))
(fma.f64 (.f64 y x) (/.f64 (.f64 y x) (*.f64 y x)) (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 (.f64 y x) (/.f64 (.f64 y x) (.f64 y x)) (.f64 (neg.f64 (neg.f64 z)) z))
(fma.f64 (.f64 y x) (/.f64 (.f64 y x) (.f64 y x)) (.f64 z z))
(fma.f64 z z (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 z z (*.f64 y x))
(fma.f64 y x (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z)))
(fma.f64 y x (+.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 y x (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 y x (*.f64 (neg.f64 (neg.f64 z)) z))
(fma.f64 y x (*.f64 z z))
(fma.f64 x y (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z)))
(fma.f64 x y (+.f64 #s(literal 0 binary64) (*.f64 z z)))
(fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 x y (*.f64 (neg.f64 (neg.f64 z)) z))
(fma.f64 x y (*.f64 z z))
(-.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 y x)) #s(literal 2 binary64)) (-.f64 (fma.f64 z z (.f64 y x)) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 (fma.f64 z z (*.f64 y x)) #s(literal 0 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (.f64 (neg.f64 z) z))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 y x) (*.f64 (neg.f64 z) z))))))
(-.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 z z) (.f64 (neg.f64 y) x))))) (/.f64 (pow.f64 (.f64 (neg.f64 y) x) #s(literal 3 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 z z) (*.f64 (neg.f64 y) x))))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (.f64 (neg.f64 z) z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 y x (*.f64 (neg.f64 z) z))))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (neg.f64 x) y))))
(-.f64 (.f64 y x) (-.f64 (.f64 (neg.f64 z) z) #s(literal 0 binary64)))
(-.f64 (.f64 y x) (.f64 (neg.f64 (neg.f64 z)) (neg.f64 z)))
(-.f64 (.f64 y x) (.f64 (neg.f64 z) z))
(-.f64 (.f64 z z) (-.f64 (.f64 (neg.f64 y) x) #s(literal 0 binary64)))
(-.f64 (.f64 z z) (.f64 (neg.f64 x) y))
(-.f64 (.f64 z z) (.f64 (neg.f64 y) x))
(+.f64 (/.f64 (pow.f64 (fma.f64 z z (.f64 y x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 z z (.f64 y x)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 z z (.f64 y x)) #s(literal 0 binary64))))) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 z z (.f64 y x)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 z z (*.f64 y x)) #s(literal 0 binary64))))))
(+.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 y x))
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 (neg.f64 x) y)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 (neg.f64 x) y)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 (neg.f64 x) y)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 (neg.f64 x) y)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (fma.f64 y x (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (.f64 (neg.f64 z) z))) (/.f64 (.f64 (.f64 (neg.f64 z) z) (.f64 z z)) (fma.f64 y x (.f64 (neg.f64 z) z))))
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 (neg.f64 x) y))) (/.f64 (.f64 (.f64 (neg.f64 y) x) (.f64 y x)) (fma.f64 z z (*.f64 (neg.f64 x) y))))
(+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 y x)))
(+.f64 (fma.f64 z z (*.f64 y x)) #s(literal 0 binary64))
(+.f64 (.f64 y x) (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 z) z)))
(+.f64 (.f64 y x) (+.f64 #s(literal 0 binary64) (.f64 z z)))
(+.f64 (*.f64 y x) (fma.f64 z z #s(literal 0 binary64)))
(+.f64 (.f64 y x) (.f64 (neg.f64 (neg.f64 z)) z))
(+.f64 (.f64 y x) (.f64 z z))
(+.f64 (.f64 z z) (.f64 (neg.f64 (neg.f64 y)) x))
(+.f64 (.f64 z z) (.f64 y x))

eval323.0ms (5.8%)

Memory: -3.6MiB live, 375.0MiB allocated; 76ms collecting garbage
Compiler: Compiled 54 572 to 4 106 computations (92.5% saved)

prune99.0ms (1.8%)

Memory

9.6MiB live, 101.1MiB allocated; 12ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1 753	3	1 756
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	1 755	5	1 760

Accuracy

100.0%

Counts

1 760 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 y x)))
✓	84.9%	(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
▶	99.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (.f64 (.f64 #s(literal 3 binary64) z) z)))
▶	48.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
✓	48.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))

Compiler

Compiled 84 to 50 computations (40.5% saved)

simplify42.0ms (0.8%)

Memory

-35.2MiB live, 64.5MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	101
0	26	90
1	61	90
2	165	84
3	427	84
4	780	84
5	1020	84
6	1246	84
7	1336	84
8	1416	84
0	1416	84

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize70.0ms (1.3%)

Memory

43.3MiB live, 132.3MiB allocated; 8ms collecting garbage

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 z z)
accuracy	0.0	(*.f64 y x)
accuracy	0.01171875	(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 y x)))
accuracy	0.24999724760556022	(fma.f64 z z (*.f64 y x))
accuracy	0.0	(*.f64 #s(literal 3 binary64) z)
accuracy	0.0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (.f64 (.f64 #s(literal 3 binary64) z) z)))
accuracy	0.12109375	(.f64 (.f64 #s(literal 3 binary64) z) z)
accuracy	0.49999449521112044	(fma.f64 y x (.f64 (.f64 #s(literal 3 binary64) z) z))
accuracy	0.0	(*.f64 #s(literal 3 binary64) z)
accuracy	0.12109375	(.f64 (.f64 #s(literal 3 binary64) z) z)
accuracy	32.82265358464778	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))

Samples

59.0ms

256×

valid

Compiler

Compiled 92 to 19 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-add: 36.0ms (78.9% of total)

ival-mult: 9.0ms (19.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

-12.7MiB live, 33.0MiB allocated; 4ms collecting garbage

Counts

9 → 23

Calls

Call 1

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

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

Calls

9 calls:

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

simplify123.0ms (2.2%)

Memory

-13.3MiB live, 142.0MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	207
1	279	163
2	947	163
3	3722	163
0	8202	146

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 23

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

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

rewrite313.0ms (5.6%)

Memory

-12.3MiB live, 266.2MiB allocated; 75ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	84
0	26	76
1	143	73
2	1284	73
0	8503	70

Stop Event

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

Counts

9 → 570

Calls

Call 1

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

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

eval70.0ms (1.3%)

Memory: 47.6MiB live, 172.2MiB allocated; 25ms collecting garbage
Compiler: Compiled 24 444 to 1 822 computations (92.5% saved)

prune39.0ms (0.7%)

Memory

-18.0MiB live, 43.5MiB allocated; 13ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	592	1	593
Fresh	0	0	0
Picked	1	2	3
Done	0	2	2
Total	593	5	598

Accuracy

100.0%

Counts

598 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.7%	(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
✓	84.9%	(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
✓	99.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (.f64 (.f64 #s(literal 3 binary64) z) z)))
✓	48.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
✓	48.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))

Compiler

Compiled 89 to 53 computations (40.4% saved)

simplify88.0ms (1.6%)

Memory

-19.1MiB live, 25.4MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (* z z) (* y x)) (*.f64 z z))
cost-diff	0	(+.f64 z z)
cost-diff	0	(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
0	14	34
1	28	34
2	77	34
3	203	34
4	327	34
5	373	34
6	405	34
0	405	32

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.4%)

Memory

37.4MiB live, 83.4MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 z z)
accuracy	0.0	(*.f64 z z)
accuracy	0.01171875	(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
accuracy	32.82620605601078	#s(approx (+ (* z z) (* y x)) (*.f64 z z))

Samples

18.0ms

256×

valid

Compiler

Compiled 29 to 11 computations (62.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (59.1% of total)

ival-add: 3.0ms (35.5% of total)

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

adjust: 0.0ms (0% of total)

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

series44.0ms (0.8%)

Memory

-33.4MiB live, 11.8MiB allocated; 4ms collecting garbage

Counts

4 → 18

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
40.0ms	y	@	inf	((+ (* z (+ z z)) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (* z z))
1.0ms	z	@	inf	((+ (* z (+ z z)) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (* z z))
1.0ms	z	@	-inf	((+ (* z (+ z z)) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (* z z))
0.0ms	y	@	-inf	((+ (* z (+ z z)) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (* z z))
0.0ms	z	@	0	((+ (* z (+ z z)) (+ (* z z) (* y x))) (+ z z) (+ (* z z) (* y x)) (* z z))

simplify285.0ms (5.1%)

Memory

-1.3MiB live, 262.2MiB allocated; 42ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	152
1	219	124
2	777	124
3	3181	124
0	8388	111

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 18

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

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

rewrite59.0ms (1.1%)

Memory

18.3MiB live, 65.3MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
0	14	33
1	61	32
0	528	29

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

4 → 73

Calls

Call 1

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

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

eval59.0ms (1.1%)

Memory: -23.5MiB live, 20.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 1 771 to 209 computations (88.2% saved)

prune5.0ms (0.1%)

Memory

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

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	77	6	83

Accuracy

100.0%

Counts

83 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.7%	(fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z)))
✓	84.9%	(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
✓	99.2%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (.f64 (.f64 #s(literal 3 binary64) z) z)))
✓	48.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z))
✓	48.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))
	58.8%	#s(approx (+ (* z (+ z z)) (+ (* z z) (* y x))) (*.f64 x y))

Compiler

Compiled 274 to 105 computations (61.7% saved)

regimes24.0ms (0.4%)

Memory

4.2MiB live, 48.3MiB allocated; 8ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Outputs
(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 y x)))

Calls

6 calls:

7.0ms	x
3.0ms	z
3.0ms	y
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
3.0ms	(*.f64 x y)

Results

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

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes39.0ms (0.7%)

Memory

-27.2MiB live, 27.5MiB allocated; 8ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

26.0ms	x
3.0ms	z
3.0ms	y
2.0ms	(*.f64 x y)
2.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Results

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

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes14.0ms (0.3%)

Memory

16.9MiB live, 16.9MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
99.2%	1	`(*.f64 z z)`
99.2%	1	`(*.f64 x y)`
99.2%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`z`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes38.0ms (0.7%)

Memory

-15.8MiB live, 29.5MiB allocated; 5ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

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

Calls

6 calls:

27.0ms	(*.f64 x y)
2.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Results

Accuracy	Segments	Branch
90.2%	2	`(*.f64 z z)`
88.3%	3	`(*.f64 x y)`
89.2%	3	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
84.9%	1	`x`
84.9%	1	`y`
90.2%	2	`z`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes4.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
90.2%	2	`(*.f64 z z)`
90.2%	2	`z`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes3.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

#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))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
89.4%	2	`(*.f64 z z)`
89.4%	2	`z`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes6.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
58.8%	1	`x`
58.8%	1	`y`
58.8%	1	`(*.f64 x y)`
58.8%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
58.8%	1	`(*.f64 z z)`
58.8%	1	`z`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

bsearch19.0ms (0.3%)

Memory

-6.1MiB live, 37.3MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.2037223035792875e+38	5.756445641829661e+43

Samples

11.0ms

144×

valid

Compiler

Compiled 225 to 176 computations (21.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 6.0ms (76.9% of total)

ival-add: 2.0ms (25.6% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2037223035792875e+38	5.756445641829661e+43

Compiler

Compiled 270 to 194 computations (28.1% saved)

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2037223035792875e+38	5.756445641829661e+43

Compiler

Compiled 360 to 239 computations (33.6% saved)

simplify61.0ms (1.1%)

Memory

-19.2MiB live, 77.6MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	169
1	67	157
2	149	157
3	373	157
4	779	157
5	1546	157
6	4866	157

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 z (+.f64 z z) (fma.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)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (.f64 (.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 z #s(literal 124999999999999992463645796450397323264 binary64)) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))))
(if (<=.f64 z #s(literal 124999999999999992463645796450397323264 binary64)) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z))))
(if (<=.f64 z #s(literal 124999999999999992463645796450397323264 binary64)) #s(approx (+ (* z (+ z z)) (+ (* z z) (* y x))) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z))))
#s(approx (+ (* z (+ z z)) (+ (* z z) (* y x))) (*.f64 x y))

Outputs
(fma.f64 z (+.f64 z z) (fma.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)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 y x (.f64 (.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 z #s(literal 124999999999999992463645796450397323264 binary64)) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (fma.f64 z (+.f64 z z) #s(approx (+ (* z z) (* y x)) (*.f64 z z))))
(if (<=.f64 z #s(literal 124999999999999992463645796450397323264 binary64)) (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z))))
(if (<=.f64 z #s(literal 124999999999999992463645796450397323264 binary64)) #s(approx (+ (* z (+ z z)) (+ (* z z) (* y x))) (.f64 x y)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 #s(literal 3 binary64) (.f64 z z))))
(if (<=.f64 z #s(literal 124999999999999992463645796450397323264 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 #s(literal 3 binary64) (.f64 z z))))
#s(approx (+ (* z (+ z z)) (+ (* z z) (* y x))) (*.f64 x y))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 x y))

derivations915.0ms (16.5%)

Memory

2.5MiB live, 820.7MiB allocated; 78ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	208
1	281	180
2	997	180
3	4202	180
0	8237	161
0	23	101
0	36	97
1	176	93
2	1505	93
0	8266	90
0	8	36
0	13	36
1	63	32
2	637	24
0	9212	20
0	55	152
1	219	124
2	777	124
3	3181	124
0	8388	111
0	71	207
1	279	163
2	947	163
3	3722	163
0	8202	146

Stop Event

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

Compiler

Compiled 181 to 36 computations (80.1% saved)

preprocess160.0ms (2.9%)

Memory

-6.1MiB live, 234.0MiB allocated; 58ms collecting garbage

Remove

(sort x y)

(abs z)

Compiler

Compiled 498 to 160 computations (67.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample872.0ms (15.7%)

explain112.0ms (2%)

preprocess86.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify30.0ms (0.5%)

localize40.0ms (0.7%)

series7.0ms (0.1%)

simplify102.0ms (1.8%)

rewrite263.0ms (4.7%)

eval48.0ms (0.9%)

prune4.0ms (0.1%)

simplify41.0ms (0.7%)

localize158.0ms (2.8%)

series9.0ms (0.2%)

simplify264.0ms (4.7%)

rewrite589.0ms (10.6%)

eval323.0ms (5.8%)

prune99.0ms (1.8%)

simplify42.0ms (0.8%)

localize70.0ms (1.3%)

series10.0ms (0.2%)

simplify123.0ms (2.2%)

rewrite313.0ms (5.6%)

eval70.0ms (1.3%)

prune39.0ms (0.7%)

simplify88.0ms (1.6%)

localize24.0ms (0.4%)

series44.0ms (0.8%)

simplify285.0ms (5.1%)

rewrite59.0ms (1.1%)

eval59.0ms (1.1%)

prune5.0ms (0.1%)

regimes24.0ms (0.4%)

regimes39.0ms (0.7%)

regimes14.0ms (0.3%)

regimes38.0ms (0.7%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch19.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify61.0ms (1.1%)

derivations915.0ms (16.5%)

preprocess160.0ms (2.9%)

end0.0ms (0%)

Profiling