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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 10 computations (41.2% saved)

sample973.0ms (12.3%)

Memory

1.3MiB live, 1 232.8MiB allocated

Samples

565.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 274.0ms

ival-mult: 141.0ms (51.4% of total)

ival-add: 124.0ms (45.2% of total)

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

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

Bogosity

explain465.0ms (5.9%)

Memory

-4.3MiB live, 323.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
6	6	(-7.934897546998169e+79 -2.203048229811755e+262 -9.206176078845373e+176)	-	`(+.f64 (.f64 x y) (.f64 z z))`
1	79	(4.305643979357591e-208 1.662123129824313e+276 6.910004109602969e+194)	-	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
1	79	(4.305643979357591e-208 1.662123129824313e+276 6.910004109602969e+194)	-	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`
0	0	-	-	`y`
0	0	-	-	`(*.f64 z z)`
0	0	-	-	`z`
0	0	-	-	`(*.f64 x y)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`	nan-rescue	80	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	overflow	102
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	102
↳	`(*.f64 x y)`	overflow	34
↳	`(*.f64 z z)`	overflow	160
↳	`(*.f64 z z)`	overflow	80
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	nan-rescue	80	0
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	102
↳	`(*.f64 x y)`	overflow	34
↳	`(*.f64 z z)`	overflow	80
↳	`(*.f64 z z)`	overflow	80
`+.f64`	`(+.f64 (.f64 x y) (.f64 z z))`	nan-rescue	12	0
↳	`(*.f64 x y)`	overflow	34
↳	`(*.f64 z z)`	overflow	80

Confusion

	Predicted +	Predicted -
+	6	0
-	74	176

Precision

0.075

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	6	0	0
-	74	0	176

Precision?

0.075

Recall?

1.0

Freqs

test

number	freq
0	176
2	68
3	12

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms

512×

valid

Compiler

Compiled 229 to 52 computations (77.3% saved)

Precisions

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

ival-mult: 7.0ms (49.4% of total)

ival-add: 6.0ms (42.4% of total)

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

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

preprocess92.0ms (1.2%)

Memory

17.2MiB live, 56.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	142
1	104	120
2	235	82
3	602	81
4	1131	81
5	1497	81
6	2068	81
7	2586	81
8	2644	81
9	2644	81
0	8	15
0	13	15
1	20	13
2	30	9
3	42	9
4	50	9
5	53	9
0	53	8

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

(sort x y)

Compiler

Compiled 15 to 8 computations (46.7% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.5%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify4.0ms (0%)

Memory

9.0MiB live, 9.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize26.0ms (0.3%)

Memory

-22.1MiB live, 52.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.24999793583020583	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
accuracy	0.3203104358302058	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
accuracy	1.246091685830206	(+.f64 (.f64 x y) (.f64 z z))

Samples

20.0ms

256×

valid

Compiler

Compiled 86 to 18 computations (79.1% saved)

Precisions

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

ival-mult: 7.0ms (54.3% of total)

ival-add: 6.0ms (46.6% of total)

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

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

series9.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB allocated

Counts

4 → 132

Calls

Call 1

Inputs
#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())
#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())

Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow z 2)) (taylor inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow z 2)) (taylor -inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* 2 (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* 2 (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* 2 (/ (pow z 2) y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (pow z 2) y))) (taylor inf y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (pow z 2) y))) (taylor inf y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (pow z 2) y))) (taylor inf y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) (taylor -inf y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) (taylor -inf y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y))))) (taylor -inf y) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (* x y)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* 2 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* 2 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* 2 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 z z)) (patch (+.f64 (.f64 x y) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
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))
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	z	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (* x y) (* z z)) (* z z)) (+ (* x y) (* z z)) (* x y))

simplify112.0ms (1.4%)

Memory

14.5MiB live, 126.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	844
1	244	844
2	750	844
3	2131	844
4	5841	844
0	8161	763

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

rewrite352.0ms (4.4%)

Memory

18.8MiB live, 200.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
0	13	36
1	55	32
2	517	26
3	7580	26
0	8184	23

Stop Event

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

Counts

4 → 324

Calls

Call 1

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

Outputs
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eval68.0ms (0.9%)

Memory: -3.2MiB live, 87.9MiB allocated
Compiler: Compiled 11 480 to 1 016 computations (91.1% saved)

prune14.0ms (0.2%)

Memory

-4.6MiB live, 31.7MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	450	6	456
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	451	6	457

Accuracy

100.0%

Counts

457 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
	36.0%	(+.f64 (fma.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (.f64 y x))) (.f64 z z)) (*.f64 z z))
▶	58.0%	(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64))))
▶	97.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
▶	56.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	49.4%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 164 to 114 computations (30.5% saved)

simplify247.0ms (3.1%)

Memory

2.2MiB live, 204.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
cost-diff	64	(fma.f64 y x #s(literal 0 binary64))
cost-diff	320	(.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64))))
cost-diff	8192	(*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(*.f64 z #s(literal 3 binary64))
cost-diff	0	(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 (.f64 z z) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 z z (*.f64 y x))
cost-diff	0	(*.f64 #s(literal 2 binary64) z)
cost-diff	384	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	207
0	47	190
1	87	146
2	172	146
3	451	146
4	1847	146
5	3073	146
6	3941	146
7	4166	146
8	4625	146
9	4859	146
10	6224	146
11	6400	146
12	6596	146
13	6839	146
0	8771	146

Stop Event

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

Calls

Call 1

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

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

localize115.0ms (1.5%)

Memory

-0.9MiB live, 123.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	1.0607105482177595	(pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64))
accuracy	1.249986238027801	(fma.f64 z z (fma.f64 y x #s(literal 0 binary64)))
accuracy	1.328122935830206	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x))
accuracy	26.101832102980882	(*.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)))
accuracy	0	(*.f64 z #s(literal 3 binary64))
accuracy	0	(*.f64 y x)
accuracy	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
accuracy	1.324204988027801	(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))
accuracy	0	(*.f64 z z)
accuracy	0.1484375	(.f64 (.f64 z z) #s(literal 3 binary64))
accuracy	27.620439744672986	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
accuracy	0	(*.f64 y x)
accuracy	32.38328497358051	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))
accuracy	0	(*.f64 y x)
accuracy	0	(*.f64 #s(literal 2 binary64) z)
accuracy	0.01953125	(fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x)))
accuracy	1.249986238027801	(fma.f64 z z (*.f64 y x))

Samples

96.0ms

256×

valid

Compiler

Compiled 371 to 54 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 39.0ms (52.2% of total)

ival-add: 31.0ms (41.5% of total)

ival-pow: 3.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.4%)

Memory

-35.4MiB live, 44.5MiB allocated

Counts

17 → 492

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation binary64>) () ())
#s(alt (fma.f64 z z (.f64 y x)) (patch (fma.f64 z z (.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 z z) #s(literal 3 binary64)) (patch (.f64 (.f64 z z) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)) (patch (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64))) (patch (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)))) (patch (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 y x #s(literal 0 binary64)) (patch (fma.f64 y x #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) #<representation binary64>) () ())
#s(alt (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (patch (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 z z (.f64 y x)) (patch (fma.f64 z z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z (.f64 y x)) (patch (fma.f64 z z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z (.f64 y x)) (patch (fma.f64 z z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z z (.f64 y x)) (patch (fma.f64 z z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z z) #s(literal 3 binary64)) (patch (.f64 (.f64 z z) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z z) #s(literal 3 binary64)) (patch (.f64 (.f64 z z) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z z) #s(literal 3 binary64)) (patch (.f64 (.f64 z z) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z z) #s(literal 3 binary64)) (patch (.f64 (.f64 z z) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)) (patch (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)) (patch (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)) (patch (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)) (patch (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64))) (patch (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64))) (patch (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64))) (patch (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64))) (patch (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)))) (patch (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)))) (patch (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)))) (patch (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)))) (patch (.f64 (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 0 binary64)) (patch (fma.f64 y x #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 0 binary64)) (patch (fma.f64 y x #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 0 binary64)) (patch (fma.f64 y x #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 0 binary64)) (patch (fma.f64 y x #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) (patch (fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (patch (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (patch (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (patch (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) (patch (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ (pow z 2) (* x (pow y 2))) (/ 1 y)) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x (pow y 3))) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* x (pow y 4))) (/ (pow z 4) (pow y 3))) x)) (/ (pow z 2) (pow y 2))) x)) (/ 1 y)) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 z z (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	z	@	0	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* z 3) z) (* y x)) (* z 3) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1)) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1))) (+ (* y x) 0) (+ (* 3 (* z z)) (* y x)) (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1))
2.0ms	y	@	inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* z 3) z) (* y x)) (* z 3) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1)) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1))) (+ (* y x) 0) (+ (* 3 (* z z)) (* y x)) (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1))
2.0ms	z	@	inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* z 3) z) (* y x)) (* z 3) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1)) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1))) (+ (* y x) 0) (+ (* 3 (* z z)) (* y x)) (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1))
2.0ms	z	@	-inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* z 3) z) (* y x)) (* z 3) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1)) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1))) (+ (* y x) 0) (+ (* 3 (* z z)) (* y x)) (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1))
1.0ms	x	@	-inf	((+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (* y x) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z z) 3) (* z z) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (* z 3) z) (* y x)) (* z 3) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1)) (* (+ (* 3 (* z z)) (* y x)) (* (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1))) (+ (* y x) 0) (+ (* 3 (* z z)) (* y x)) (+ (* z z) (+ (* y x) 0)) (pow (+ (* z z) (+ (* y x) 0)) -1))

simplify178.0ms (2.2%)

Memory

25.4MiB live, 243.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	235	3966
1	728	3934
2	2159	3894
3	7592	3882
0	8788	3626

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

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

rewrite421.0ms (5.3%)

Memory

10.6MiB live, 332.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	177
0	47	173
1	203	118
2	1535	118
0	8261	118

Stop Event

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

Counts

17 → 1 937

Calls

Call 1

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

Outputs
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eval675.0ms (8.5%)

Memory: 16.3MiB live, 717.6MiB allocated
Compiler: Compiled 108 827 to 6 146 computations (94.4% saved)

prune129.0ms (1.6%)

Memory

19.9MiB live, 292.0MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	3 491	4	3 495
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	3 494	7	3 501

Accuracy

100.0%

Counts

3 501 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.1%	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z x) z y) x)))
✓	97.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
▶	56.8%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
▶	94.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
✓	56.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	56.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
✓	49.4%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 59 to 53 computations (10.2% saved)

simplify243.0ms (3.1%)

Memory

-39.7MiB live, 163.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z x) z y) x))
cost-diff	0	(*.f64 #s(literal 2 binary64) z)
cost-diff	0	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z x) z y) x)))
cost-diff	704	(*.f64 (fma.f64 (/.f64 z x) z y) x)
cost-diff	-128	(+.f64 z z)
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
cost-diff	384	(fma.f64 z (+.f64 z z) (*.f64 z z))
cost-diff	0	(/.f64 (*.f64 z z) y)
cost-diff	0	(fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
cost-diff	704	(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
cost-diff	0	(*.f64 z #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 z #s(literal 3 binary64)) z)
cost-diff	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	187
0	47	175
1	79	163
2	112	163
3	161	163
4	263	161
5	374	158
6	766	158
7	1628	158
8	2942	158
9	4410	158
10	5002	158
11	5202	158
12	5231	158
13	5240	158
14	5241	158
0	9917	148

Stop Event

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

Calls

Call 1

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

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

localize395.0ms (5%)

Memory

-21.3MiB live, 101.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z x) z y) x))
accuracy	0.01953125	(fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z x) z y) x)))
accuracy	0.0546875	(fma.f64 (/.f64 z x) z y)
accuracy	3.817995966650135	(*.f64 (fma.f64 (/.f64 z x) z y) x)
accuracy	0	(+.f64 z z)
accuracy	0	(*.f64 z z)
accuracy	0.03125	(fma.f64 z (+.f64 z z) (*.f64 z z))
accuracy	27.620439744672986	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
accuracy	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
accuracy	0.08203125	(fma.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64) x)
accuracy	3.358439777292038	(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)
accuracy	8.535036333310405	(/.f64 (*.f64 z z) y)
accuracy	0	(*.f64 z #s(literal 3 binary64))
accuracy	0.13671875	(.f64 (.f64 z #s(literal 3 binary64)) z)
accuracy	27.620439744672986	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))

Samples

117.0ms

256×

valid

Compiler

Compiled 279 to 52 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 41.0ms (75% of total)

ival-add: 9.0ms (16.5% of total)

ival-div: 4.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

series59.0ms (0.7%)

Memory

28.5MiB live, 65.2MiB allocated

Counts

16 → 420

Calls

Call 1

Inputs
#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 z #s(literal 3 binary64)) z) (patch (.f64 (.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())
#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y) (patch (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) (patch (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 z z) y) (patch (/.f64 (.f64 z z) y) #<representation binary64>) () ())
#s(alt (fma.f64 z (+.f64 z z) (.f64 z z)) (patch (fma.f64 z (+.f64 z z) (.f64 z z)) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (.f64 z z))) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))) #<representation binary64>) () ())
#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())
#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (/.f64 z x) z y) x) (patch (.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z x) z y) x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z x) z y) x))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) z) (patch (.f64 #s(literal 2 binary64) z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())

Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z #s(literal 3 binary64)) z) (patch (.f64 (.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z #s(literal 3 binary64)) z) (patch (.f64 (.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z #s(literal 3 binary64)) z) (patch (.f64 (.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (.f64 (.f64 z #s(literal 3 binary64)) z) (patch (.f64 (.f64 z #s(literal 3 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* 3 z) (taylor 0 z) (#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 z) (taylor 0 z) (#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 z) (taylor 0 z) (#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 z) (taylor 0 z) (#s(alt (.f64 z #s(literal 3 binary64)) (patch (.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y) (patch (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y) (patch (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y) (patch (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y) (patch (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) (patch (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 3 (/ (pow z 2) y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) (patch (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 3 (/ (pow z 2) y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) (patch (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 3 (/ (pow z 2) y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) (patch (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) y) (taylor 0 z) (#s(alt (/.f64 (.f64 z z) y) (patch (/.f64 (.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) y) (taylor 0 z) (#s(alt (/.f64 (.f64 z z) y) (patch (/.f64 (.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) y) (taylor 0 z) (#s(alt (/.f64 (.f64 z z) y) (patch (/.f64 (.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) y) (taylor 0 z) (#s(alt (/.f64 (.f64 z z) y) (patch (/.f64 (.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) (.f64 z z)) (patch (fma.f64 z (+.f64 z z) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) (.f64 z z)) (patch (fma.f64 z (+.f64 z z) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) (.f64 z z)) (patch (fma.f64 z (+.f64 z z) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 z (+.f64 z z) (.f64 z z)) (patch (fma.f64 z (+.f64 z z) (.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (.f64 z z))) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (.f64 z z))) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (.f64 z z))) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (.f64 z z))) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* 2 z) (taylor 0 z) (#s(alt (+.f64 z z) (patch (+.f64 z z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 z x) z y) x) (patch (.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (.f64 (fma.f64 (/.f64 z x) z y) x) (patch (.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())) ())
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#s(alt (* x (+ y (* 3 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y) (patch (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) (patch (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 3 (/ (pow z 2) (* x y))))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) (patch (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 3 (/ (pow z 2) (* x y))))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) (patch (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 3 (/ (pow z 2) (* x y))))) (taylor inf x) (#s(alt (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) (patch (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (.f64 z z))) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (.f64 z z))) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (.f64 z z))) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (.f64 z z))) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 (fma.f64 (/.f64 z x) z y) x) (patch (.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt (.f64 (fma.f64 (/.f64 z x) z y) x) (patch (.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt (.f64 (fma.f64 (/.f64 z x) z y) x) (patch (.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt (.f64 (fma.f64 (/.f64 z x) z y) x) (patch (.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z x) z y) x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z x) z y) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z x) z y) x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z x) z y) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z x) z y) x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z x) z y) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z x) z y) x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z x) z y) x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (/ (pow z 2) x))) (taylor inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf x) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ())
#s(alt (+ y (/ (pow z 2) x)) (taylor inf x) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ())
#s(alt (+ y (/ (pow z 2) x)) (taylor inf x) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ())
#s(alt (+ y (/ (pow z 2) x)) (taylor inf x) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y) (patch (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y) (patch (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y) (patch (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) (patch (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -3 (/ (pow z 2) (* x y))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) (patch (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -3 (/ (pow z 2) (* x y))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) (patch (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -3 (/ (pow z 2) (* x y))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) (patch (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (.f64 z z))) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (.f64 z z))) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (.f64 z z))) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (.f64 z z))) (patch #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 z x) z y) x) (patch (.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 z x) z y) x) (patch (.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 z x) z y) x) (patch (.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (/.f64 z x) z y) x) (patch (.f64 (fma.f64 (/.f64 z x) z y) x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z x) z y) x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z x) z y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z x) z y) x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z x) z y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z x) z y) x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z x) z y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ ( z z) (* y x)) (.f64 (fma.f64 (/.f64 z x) z y) x))) (patch (fma.f64 (.f64 #s(literal 2 binary64) z) z #s(approx (+ (* z z) (* y x)) (*.f64 (fma.f64 (/.f64 z x) z y) x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* z z) (* y x)) (.f64 (fma.f64 (/.f64 z x) z y) x)) (patch #s(approx (+ ( z z) (* y x)) (*.f64 (fma.f64 (/.f64 z x) z y) x)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf x) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ())
#s(alt (+ y (/ (pow z 2) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ())
#s(alt (+ y (/ (pow z 2) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ())
#s(alt (+ y (/ (pow z 2) x)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z x) z y) (patch (fma.f64 (/.f64 z x) z y) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
31.0ms	x	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (* (+ (* (/ (* z z) y) 3) x) y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (/ (* z z) y) 3) x) (/ (* z z) y) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (* (+ (* (/ z x) z) y) x) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* (/ z x) z) y))
3.0ms	x	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (* (+ (* (/ (* z z) y) 3) x) y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (/ (* z z) y) 3) x) (/ (* z z) y) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (* (+ (* (/ z x) z) y) x) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* (/ z x) z) y))
3.0ms	z	@	inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (* (+ (* (/ (* z z) y) 3) x) y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (/ (* z z) y) 3) x) (/ (* z z) y) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (* (+ (* (/ z x) z) y) x) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* (/ z x) z) y))
2.0ms	z	@	0	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (* (+ (* (/ (* z z) y) 3) x) y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (/ (* z z) y) 3) x) (/ (* z z) y) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (* (+ (* (/ z x) z) y) x) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* (/ z x) z) y))
2.0ms	z	@	-inf	((+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* (* z 3) z) (* z 3) (* (+ (* (/ (* z z) y) 3) x) y) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (+ (* (/ (* z z) y) 3) x) (/ (* z z) y) (+ (* z (+ z z)) (* z z)) (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (* z z) (+ z z) (* (+ (* (/ z x) z) y) x) (+ (* (* 2 z) z) (+ (* z z) (* y x))) (* 2 z) (+ (* z z) (* y x)) (+ (* (/ z x) z) y))

simplify211.0ms (2.7%)

Memory

-25.1MiB live, 247.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	2708
1	326	2708
2	967	2708
3	3740	2708
4	7155	2708
0	8259	2465

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 410

Calls

Call 1

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

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

rewrite264.0ms (3.3%)

Memory

28.0MiB live, 311.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	170
0	47	158
1	200	145
2	1542	145
0	8410	139

Stop Event

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

Counts

16 → 978

Calls

Call 1

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

Outputs
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eval221.0ms (2.8%)

Memory: 19.7MiB live, 388.6MiB allocated
Compiler: Compiled 26 014 to 2 565 computations (90.1% saved)

prune98.0ms (1.2%)

Memory

-32.5MiB live, 145.6MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 405	1	1 406
Fresh	0	0	0
Picked	1	3	4
Done	0	3	3
Total	1 406	7	1 413

Accuracy

100.0%

Counts

1 413 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
✓	56.8%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
✓	94.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
▶	94.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y))
✓	56.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	56.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
✓	49.4%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 56 to 52 computations (7.1% saved)

simplify161.0ms (2%)

Memory

19.1MiB live, 219.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	56
0	19	56
1	34	54
2	65	50
3	109	50
4	187	48
5	246	48
6	494	48
7	1022	48
8	2165	48
9	3783	48
10	5526	48
11	6393	48
12	6516	48
13	6617	48
14	6731	48
0	8746	45

Stop Event

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

Calls

Call 1

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

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

localize181.0ms (2.3%)

Memory

0.6MiB live, 39.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y))
accuracy	0.06640625	(fma.f64 z (*.f64 (/.f64 z y) #s(literal 3 binary64)) x)
accuracy	0.22265625	(*.f64 (/.f64 z y) #s(literal 3 binary64))
accuracy	3.358439777292038	(.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)

Samples

173.0ms

256×

valid

Compiler

Compiled 90 to 25 computations (72.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-mult: 158.0ms (95.8% of total)

ival-add: 4.0ms (2.4% of total)

ival-div: 2.0ms (1.2% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

-17.3MiB live, 19.8MiB allocated

Counts

4 → 132

Calls

Call 1

Inputs
#s(alt (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) (patch (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) #<representation binary64>) () ())
#s(alt (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) (patch (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 z y) #s(literal 3 binary64)) (patch (.f64 (/.f64 z y) #s(literal 3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) (patch (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) (patch (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) (patch (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) (patch (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor -inf y) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) (taylor -inf y) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) (taylor -inf y) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y))))) (taylor -inf y) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf y) (#s(alt (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) (patch (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 3 (/ (pow z 2) y))) (taylor -inf y) (#s(alt (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) (patch (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 3 (/ (pow z 2) y))) (taylor -inf y) (#s(alt (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) (patch (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 3 (/ (pow z 2) y))) (taylor -inf y) (#s(alt (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) (patch (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ z y)) (taylor -inf y) (#s(alt (.f64 (/.f64 z y) #s(literal 3 binary64)) (patch (.f64 (/.f64 z y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ z y)) (taylor -inf y) (#s(alt (.f64 (/.f64 z y) #s(literal 3 binary64)) (patch (.f64 (/.f64 z y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ z y)) (taylor -inf y) (#s(alt (.f64 (/.f64 z y) #s(literal 3 binary64)) (patch (.f64 (/.f64 z y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ z y)) (taylor -inf y) (#s(alt (.f64 (/.f64 z y) #s(literal 3 binary64)) (patch (.f64 (/.f64 z y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow z 2)) (taylor 0 x) (#s(alt (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) (patch (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 x) (#s(alt (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) (patch (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 x) (#s(alt (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) (patch (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow z 2)) (* x y)) (taylor 0 x) (#s(alt (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) (patch (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (pow z 2)) (taylor 0 x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2))) (taylor 0 x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ (pow z 2) y)) (taylor 0 x) (#s(alt (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) (patch (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 3 (/ (pow z 2) y))) (taylor 0 x) (#s(alt (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) (patch (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 3 (/ (pow z 2) y))) (taylor 0 x) (#s(alt (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) (patch (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 3 (/ (pow z 2) y))) (taylor 0 x) (#s(alt (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) (patch (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) (patch (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* 3 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) (patch (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* 3 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) (patch (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* 3 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) (patch (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) (patch (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 3 (/ (pow z 2) (* x y))))) (taylor inf x) (#s(alt (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) (patch (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 3 (/ (pow z 2) (* x y))))) (taylor inf x) (#s(alt (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) (patch (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 3 (/ (pow z 2) (* x y))))) (taylor inf x) (#s(alt (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) (patch (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) (patch (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) (patch (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) (patch (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) (patch (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) (patch #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) (patch (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -3 (/ (pow z 2) (* x y))) 1))) (taylor -inf x) (#s(alt (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) (patch (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -3 (/ (pow z 2) (* x y))) 1))) (taylor -inf x) (#s(alt (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) (patch (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -3 (/ (pow z 2) (* x y))) 1))) (taylor -inf x) (#s(alt (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) (patch (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify148.0ms (1.9%)

Memory

15.9MiB live, 130.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	958
1	232	958
2	691	958
3	2667	958
4	6723	958
0	8129	877

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 127

Calls

Call 1

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

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

rewrite224.0ms (2.8%)

Memory

-22.4MiB live, 164.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	49
0	19	49
1	88	47
2	768	43
0	8580	42

Stop Event

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

Counts

4 → 140

Calls

Call 1

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

Outputs
#<batchref>
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#<batchref>
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eval42.0ms (0.5%)

Memory: 20.2MiB live, 56.8MiB allocated
Compiler: Compiled 4 690 to 584 computations (87.5% saved)

prune14.0ms (0.2%)

Memory

-3.0MiB live, 31.2MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	266	1	267
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	266	8	274

Accuracy

100.0%

Counts

274 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.9%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x)))
✓	56.8%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z)))
	94.5%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 z y)) z x))))
✓	94.3%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64) x) y))
✓	94.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y))
✓	56.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	56.7%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z))
✓	49.4%	#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Compiler

Compiled 230 to 124 computations (46.1% saved)

regimes32.0ms (0.4%)

Memory

1.5MiB live, 50.4MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

6 calls:

9.0ms	(*.f64 x y)
4.0ms	x
4.0ms	y
4.0ms	z
4.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Results

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

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes21.0ms (0.3%)

Memory

-25.2MiB live, 49.2MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	(*.f64 x y)
4.0ms	y
3.0ms	x
3.0ms	z
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Results

Accuracy	Segments	Branch
98.0%	1	`y`
100.0%	2	`z`
98.0%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
98.0%	1	`(*.f64 z z)`
98.0%	1	`x`
98.0%	1	`(*.f64 x y)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes3.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.9%	2	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes15.0ms (0.2%)

Memory

-1.1MiB live, 36.4MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
72.7%	3	`x`
71.1%	3	`y`
79.3%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
74.4%	3	`(*.f64 x y)`
86.9%	2	`(*.f64 z z)`
86.9%	2	`z`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes4.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
86.9%	2	`z`
86.9%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes3.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	z
1.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
86.9%	2	`z`
86.9%	2	`(*.f64 z z)`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes13.0ms (0.2%)

Memory

-19.9MiB live, 23.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
1.0ms	(*.f64 x y)
1.0ms	y
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
49.4%	1	`y`
49.4%	1	`x`
49.4%	1	`(*.f64 x y)`
49.4%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
49.4%	1	`z`
49.4%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 25 computations (-4.2% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.73575055598638e+118	-1.2601516472994893e+115

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch3.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	1.5477699328818387e+211	5.57983933785041e+219

Samples

2.0ms

32×

valid

Compiler

Compiled 52 to 48 computations (7.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	1.5477699328818387e+211	5.57983933785041e+219

Compiler

Compiled 48 to 48 computations (0% saved)

bsearch6.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	3.5421153796275236e+47	6.895929352703968e+47

Samples

3.0ms

64×

valid

Compiler

Compiled 70 to 70 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-add: 1.0ms (59% of total)

ival-mult: 1.0ms (59% of total)

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

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

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2546581362593836e+95	4.755384163748417e+95

Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2546581362593836e+95	4.755384163748417e+95

Compiler

Compiled 14 to 14 computations (0% saved)

simplify27.0ms (0.3%)

Memory

-11.3MiB live, 63.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	286
1	53	286

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 x y) #s(literal -39999999999999998662599995773095036732966060379453713978351013136915008209099764787281528313961070698780444622057373696 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))))
(if (<=.f64 z #s(literal 500000000000000010710773479020978721246567373372474647088354547671145870291665184702440514673563724931478639659165466045414475239434971710797302074167740036733921121471220100911936940402823933156326351978114981036032 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 z #s(literal 500000000000000010710773479020978721246567373372474647088354547671145870291665184702440514673563724931478639659165466045414475239434971710797302074167740036733921121471220100911936940402823933156326351978114981036032 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 z #s(literal 360000000000000007671539654766762878089356640256 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 200000000000000004043775825431189397715219264642871548227555371241600800999632861871739565506560 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 200000000000000004043775825431189397715219264642871548227555371241600800999632861871739565506560 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

Outputs
(if (<=.f64 (.f64 x y) #s(literal -39999999999999998662599995773095036732966060379453713978351013136915008209099764787281528313961070698780444622057373696 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 (/.f64 z y) #s(literal 3 binary64)) x) y)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))))
(if (<=.f64 (.f64 y x) #s(literal -39999999999999998662599995773095036732966060379453713978351013136915008209099764787281528313961070698780444622057373696 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (fma.f64 z (.f64 #s(literal 3 binary64) (/.f64 z y)) x) y)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))))
(if (<=.f64 z #s(literal 500000000000000010710773479020978721246567373372474647088354547671145870291665184702440514673563724931478639659165466045414475239434971710797302074167740036733921121471220100911936940402823933156326351978114981036032 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 z #s(literal 500000000000000010710773479020978721246567373372474647088354547671145870291665184702440514673563724931478639659165466045414475239434971710797302074167740036733921121471220100911936940402823933156326351978114981036032 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) z) z (fma.f64 z z (.f64 y x))) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 z #s(literal 500000000000000010710773479020978721246567373372474647088354547671145870291665184702440514673563724931478639659165466045414475239434971710797302074167740036733921121471220100911936940402823933156326351978114981036032 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 y x))) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 z #s(literal 500000000000000010710773479020978721246567373372474647088354547671145870291665184702440514673563724931478639659165466045414475239434971710797302074167740036733921121471220100911936940402823933156326351978114981036032 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (fma.f64 (.f64 #s(literal 3 binary64) z) z (.f64 y x))) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
(if (<=.f64 z #s(literal 360000000000000007671539654766762878089356640256 binary64)) #s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (fma.f64 z (+.f64 z z) (*.f64 z z))))
(if (<=.f64 (.f64 z z) #s(literal 200000000000000004043775825431189397715219264642871548227555371241600800999632861871739565506560 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z z) #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 200000000000000004043775825431189397715219264642871548227555371241600800999632861871739565506560 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 z #s(literal 3 binary64)) z)))
(if (<=.f64 (.f64 z z) #s(literal 200000000000000004043775825431189397715219264642871548227555371241600800999632861871739565506560 binary64)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 y x)) #s(approx (+ (+ (+ ( x y) (* z z)) (* z z)) (* z z)) (.f64 (.f64 #s(literal 3 binary64) z) z)))
#s(approx (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) (*.f64 y x))

soundness1.5s (19.3%)

Memory

-16.9MiB live, 709.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
0	13	36
1	55	32
2	517	26
3	7580	26
0	8184	23
0	29	177
0	47	173
1	203	118
2	1535	118
0	8261	118
0	235	3966
1	728	3934
2	2159	3894
3	7592	3882
0	8788	3626
0	70	844
1	244	844
2	750	844
3	2131	844
4	5841	844
0	8161	763
0	29	170
0	47	158
1	200	145
2	1542	145
0	8410	139

Stop Event

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

Compiler

Compiled 303 to 165 computations (45.5% saved)

preprocess80.0ms (1%)

Memory: 30.2MiB live, 141.1MiB allocated
Remove: (abs z)
Compiler: Compiled 458 to 214 computations (53.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample973.0ms (12.3%)

explain465.0ms (5.9%)

preprocess92.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0%)

localize26.0ms (0.3%)

series9.0ms (0.1%)

simplify112.0ms (1.4%)

rewrite352.0ms (4.4%)

eval68.0ms (0.9%)

prune14.0ms (0.2%)

simplify247.0ms (3.1%)

localize115.0ms (1.5%)

series34.0ms (0.4%)

simplify178.0ms (2.2%)

rewrite421.0ms (5.3%)

eval675.0ms (8.5%)

prune129.0ms (1.6%)

simplify243.0ms (3.1%)

localize395.0ms (5%)

series59.0ms (0.7%)

simplify211.0ms (2.7%)

rewrite264.0ms (3.3%)

eval221.0ms (2.8%)

prune98.0ms (1.2%)

simplify161.0ms (2%)

localize181.0ms (2.3%)

series15.0ms (0.2%)

simplify148.0ms (1.9%)

rewrite224.0ms (2.8%)

eval42.0ms (0.5%)

prune14.0ms (0.2%)

regimes32.0ms (0.4%)

regimes21.0ms (0.3%)

regimes3.0ms (0%)

regimes15.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes13.0ms (0.2%)

bsearch1.0ms (0%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify27.0ms (0.3%)

soundness1.5s (19.3%)

preprocess80.0ms (1%)

end0.0ms (0%)

Profiling