Metrics for Diagrams.TwoD.Apollonian:descartes from diagrams-contrib-1.3.0.5

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze185.0ms (2.8%)

Memory

102.3MiB live, 102.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
25%	25%	74.9%	0.1%	0%	0%	0%	7
25%	25%	74.9%	0.1%	0%	0%	0%	8
26.2%	25%	70.2%	0.1%	0%	4.7%	0%	9
28.9%	25%	61.4%	0.1%	0%	13.5%	0%	10
31.2%	26.3%	58%	0.1%	0%	15.5%	0%	11
37.2%	28.9%	48.7%	0.1%	0%	22.3%	0%	12

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample1.1s (17.2%)

Memory

433.3MiB live, 433.3MiB allocated

Samples

478.0ms	8 256×	0	valid
271.0ms	4 615×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 469.0ms

ival-mult: 274.0ms (58.5% of total)

ival-add: 97.0ms (20.7% of total)

ival-sqrt: 77.0ms (16.4% of total)

ival-true: 9.0ms (1.9% of total)

exact: 7.0ms (1.5% of total)

ival-assert: 5.0ms (1.1% of total)

Bogosity

explain189.0ms (2.9%)

Memory

72.5MiB live, 72.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
93	0	-	2	(3.475840928251523e-295 1.947157243594443e-301 4.358721071715629e-25)	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
3	9	(-1.488397640948473e+144 -1.3705737903641023e+187 -1.1804144363815277e+221)	0	-	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
0	0	-	0	-	`z`
0	0	-	0	-	`(*.f64 x z)`
0	5	(-1.488397640948473e+144 -1.3705737903641023e+187 -1.1804144363815277e+221)	0	-	`(+.f64 (.f64 x y) (.f64 x z))`
0	0	-	0	-	`(*.f64 x y)`
0	0	-	0	-	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`y`
0	0	-	0	-	`(*.f64 y z)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`	oflow-rescue	81	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	overflow	81
↳	`(*.f64 y z)`	overflow	37
↳	`(+.f64 (.f64 x y) (.f64 x z))`	overflow	56
↳	`(*.f64 x z)`	overflow	38
↳	`(*.f64 x y)`	overflow	23
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	nan-rescue	12	0
↳	`(+.f64 (.f64 x y) (.f64 x z))`	overflow	56
↳	`(*.f64 x z)`	overflow	38
↳	`(*.f64 x y)`	overflow	23
↳	`(*.f64 y z)`	overflow	37
`sqrt.f64`	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`	uflow-rescue	10	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	underflow	10
↳	`(*.f64 y z)`	underflow	28
↳	`(+.f64 (.f64 x y) (.f64 x z))`	underflow	13
↳	`(*.f64 x z)`	underflow	33
↳	`(*.f64 x y)`	underflow	32
`+.f64`	`(+.f64 (.f64 x y) (.f64 x z))`	nan-rescue	5	0
↳	`(*.f64 x y)`	overflow	23
↳	`(*.f64 x z)`	overflow	38

Confusion

	Predicted +	Predicted -
+	91	2
-	0	163

Precision

1.0

Recall

0.978494623655914

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	91	0	2
-	0	0	163

Precision?

1.0

Recall?

0.978494623655914

Freqs

test

number	freq
0	165
1	79
2	7
3	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms

512×

valid

Compiler

Compiled 303 to 72 computations (76.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 14.0ms (57% of total)

ival-add: 5.0ms (20.3% of total)

ival-sqrt: 4.0ms (16.3% of total)

ival-true: 1.0ms (4.1% of total)

exact: 0.0ms (0% of total)

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

preprocess49.0ms (0.7%)

Memory

6.8MiB live, 6.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	118
1	133	112
2	237	108
3	446	108
4	929	108
5	1336	108
6	1729	108
7	1794	108
8	1806	108
0	11	14
0	18	12
1	28	12
2	40	12
3	49	12
4	50	12
0	50	11

Stop Event

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

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))

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

Symmetry

(sort x y z)

Compiler

Compiled 14 to 11 computations (21.4% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify4.0ms (0.1%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
cost-diff	128	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
cost-diff	320	(+.f64 (.f64 x y) (.f64 x z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	57
0	18	49
1	28	49
2	40	49
3	49	49
4	50	49
0	50	46

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize31.0ms (0.5%)

Memory

11.3MiB live, 11.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
accuracy	0.20312500000000003	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
accuracy	0.39843750000000006	(+.f64 (.f64 x y) (.f64 x z))
accuracy	21.701610737842024	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))

Samples

22.0ms

256×

valid

Compiler

Compiled 116 to 24 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 7.0ms (58.4% of total)

ival-add: 2.0ms (16.7% of total)

ival-sqrt: 2.0ms (16.7% of total)

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

exact: 0.0ms (0% of total)

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

series29.0ms (0.4%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

4 → 144

Calls

Call 1

Inputs
#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())

Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (* x y))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y)))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y))))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y))))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (* x y)) (taylor 0 z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y))))) (taylor 0 z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y)))))) (taylor 0 z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3))))))))) (taylor 0 z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* x y) z))) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* x y) z))) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* x y) z))) (taylor inf z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x y)) (taylor inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (+ y (/ (* x y) z)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (+ y (/ (* x y) z)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (+ y (/ (* x y) z)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (* z (+ x y)))) (taylor inf z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))) (taylor inf z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))) (taylor inf z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))) (taylor inf z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (* z (+ x y))) (taylor inf z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sqrt (/ (+ x y) z)) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))) (taylor inf z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))) (taylor inf z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))) (taylor inf z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))))))) (taylor -inf y) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ y z)) (* y z)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ y z)) (* y z)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ y z)) (* y z)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (* y z))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* y z))) (* (* x (+ y z)) (sqrt (/ 1 (* y z))))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* y z))) (* x (+ (* -1/4 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (+ y z))))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/8 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))) (* (sqrt (/ 1 (* y z))) (+ y z))))) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (* y z)) (taylor 0 x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
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#s(alt (+ (sqrt (* y z)) (* x (+ (* -1/8 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z)))))) (taylor 0 x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* y z)) (* x (+ (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/16 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5))))))))))) (taylor 0 x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
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#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (* x (+ y z)))) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (* x (+ y z))) (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sqrt (/ (+ y z) x)) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))) (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))) (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))) (taylor inf x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x y) (.f64 x z)) (patch (+.f64 (.f64 x y) (.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) (patch (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1))) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))))) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))))
4.0ms	y	@	-inf	((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))))
3.0ms	z	@	-inf	((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))))
3.0ms	y	@	inf	((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))))
3.0ms	z	@	inf	((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))))

simplify152.0ms (2.3%)

Memory

46.3MiB live, 46.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	501	3429
1	1684	3363
2	6236	3318
0	8106	3177

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x y)
(+ (* x y) (* z (+ x y)))
(+ (* x y) (* z (+ x y)))
(+ (* x y) (* z (+ x y)))
(* 2 (sqrt (* x y)))
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y))))
(+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(sqrt (* x y))
(+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y)))))
(+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))))))
(+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))))))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x y))
(* z (+ x (+ y (/ (* x y) z))))
(* z (+ x (+ y (/ (* x y) z))))
(* z (+ x (+ y (/ (* x y) z))))
(* 2 (sqrt (* z (+ x y))))
(* z (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(sqrt (* z (+ x y)))
(* z (+ (sqrt (/ (+ x y) z)) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))))
(* x z)
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Outputs
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(*.f64 (+.f64 z y) x)
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rewrite160.0ms (2.4%)

Memory

50.9MiB live, 50.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
0	18	36
1	55	36
2	435	36
3	6667	36
0	8469	33

Stop Event

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

Counts

4 → 228

Calls

Call 1

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

Outputs
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eval54.0ms (0.8%)

Memory: 34.0MiB live, 34.0MiB allocated
Compiler: Compiled 11 150 to 1 656 computations (85.1% saved)

prune29.0ms (0.4%)

Memory

27.1MiB live, 27.1MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	355	17	372
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	356	17	373

Accuracy

81.0%

Counts

373 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.2%	(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 z (-.f64 x y) (.f64 y x))))
▶	65.7%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	65.4%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x))))))
	42.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (.f64 y z))))
▶	40.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z)) (.f64 y z))))
	33.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(approx (+ ( x y) (* x z)) (.f64 z x)) (.f64 y z))))
	53.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y) z))))
▶	36.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
	33.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
	32.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
	3.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
▶	34.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	61.5%	(.f64 #s(literal 2 binary64) (exp.f64 (.f64 (log.f64 (fma.f64 (+.f64 y x) z (*.f64 y x))) #s(literal 1/2 binary64))))
	3.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) (+.f64 z x)) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
	34.9%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) (+.f64 y x)) z (.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64))))
▶	35.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y))
	39.7%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))

Compiler

Compiled 546 to 424 computations (22.3% saved)

simplify157.0ms (2.4%)

Memory

45.5MiB live, 45.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64))))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64)))
cost-diff	0	(.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y)
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y))
cost-diff	0	(sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z)) (*.f64 y z)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z)) (.f64 y z))))
cost-diff	128	(+.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z)) (*.f64 y z))
cost-diff	1408	(/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z))
cost-diff	0	(*.f64 (+.f64 z y) x)
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
cost-diff	0	(fma.f64 (+.f64 y x) z (*.f64 y x))
cost-diff	0	(pow.f64 (fma.f64 (+.f64 y x) z (*.f64 y x)) #s(literal 1/4 binary64))
cost-diff	0	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
cost-diff	12288	(pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (*.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	417
0	81	374
1	127	359
2	208	355
3	427	355
4	826	355
5	2119	355
6	4861	355
0	9029	355

Stop Event

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

Calls

Call 1

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

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

localize125.0ms (1.9%)

Memory

44.5MiB live, 44.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	6.962700523431493	(sqrt.f64 (/.f64 (+.f64 z x) y))
accuracy	8.22255301537935	(fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64)))
accuracy	17.706274510398185	(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64))))
accuracy	32.31535170172113	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y))
accuracy	0.20312500000000003	(+.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z)) (*.f64 y z))
accuracy	9.303271101754342	(.f64 (.f64 (+.f64 z y) (-.f64 y z)) x)
accuracy	15.307985014732115	(/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z))
accuracy	21.701610737842024	(sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z)) (*.f64 y z)))
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
accuracy	0.01171875	(*.f64 (+.f64 z y) x)
accuracy	21.701610737842024	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))
accuracy	28.156730071281782	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))
accuracy	0	(*.f64 y x)
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
accuracy	21.701610737842024	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))
accuracy	29.575699314036303	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))
accuracy	0	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy	0.2539034976055602	(fma.f64 (+.f64 y x) z (*.f64 y x))
accuracy	0.47951127930532605	(pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (*.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy	22.06936021082141	(pow.f64 (fma.f64 (+.f64 y x) z (*.f64 y x)) #s(literal 1/4 binary64))

Samples

89.0ms

256×

valid

Compiler

Compiled 707 to 85 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 24.0ms (38.1% of total)

ival-add: 10.0ms (15.9% of total)

ival-pow: 10.0ms (15.9% of total)

ival-div: 7.0ms (11.1% of total)

ival-sqrt: 7.0ms (11.1% of total)

ival-pow2: 3.0ms (4.8% of total)

ival-sub: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

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

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

series104.0ms (1.6%)

Memory

35.5MiB live, 35.5MiB allocated

Counts

22 → 780

Calls

Call 1

Inputs
#s(alt (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) (patch (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 y x))) (patch (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 y x)) (patch #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x))) (patch (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)) (patch #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 z y) x) (patch (.f64 (+.f64 z y) x) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z)) (patch (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z)) (.f64 y z)) (patch (+.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z)) (.f64 y z)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z)) (.f64 y z)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z)) (.f64 y z)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z)) (.f64 y z))) (patch (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z)) (.f64 y z))) #<representation binary64>) () ())
#s(alt #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y)) (patch #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y) (patch (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) (patch (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (patch (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (patch (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())

Outputs
#s(alt (sqrt (* x y)) (taylor 0 z) (#s(alt (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y))))) (taylor 0 z) (#s(alt (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y)))))) (taylor 0 z) (#s(alt (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3))))))))) (taylor 0 z) (#s(alt (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (* x y))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y)))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y))))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y))))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (* x y)) 1/4) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) (patch (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (* (pow (* 1 (* x y)) 1/4) (* z (+ (/ 1 x) (/ 1 y))))) (pow (* 1 (* x y)) 1/4)) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) (patch (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (+ (* 1/4 (* (pow (* 1 (* x y)) 1/4) (+ (/ 1 x) (/ 1 y)))) (* (pow (* 1 (* x y)) 1/4) (* z (+ (* -1/8 (/ (pow (+ x y) 2) (* (pow x 2) (pow y 2)))) (* 1/32 (pow (+ (/ 1 x) (/ 1 y)) 2))))))) (pow (* 1 (* x y)) 1/4)) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) (patch (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (+ (* 1/4 (* (pow (* 1 (* x y)) 1/4) (+ (/ 1 x) (/ 1 y)))) (* z (+ (* (pow (* 1 (* x y)) 1/4) (* z (+ (* -1/32 (/ (* (pow (+ x y) 2) (+ (/ 1 x) (/ 1 y))) (* (pow x 2) (pow y 2)))) (+ (* 1/384 (pow (+ (/ 1 x) (/ 1 y)) 3)) (* 1/12 (/ (pow (+ x y) 3) (* (pow x 3) (pow y 3)))))))) (* (pow (* 1 (* x y)) 1/4) (+ (* -1/8 (/ (pow (+ x y) 2) (* (pow x 2) (pow y 2)))) (* 1/32 (pow (+ (/ 1 x) (/ 1 y)) 2)))))))) (pow (* 1 (* x y)) 1/4)) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) (patch (pow.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) z (.f64 y x)) (patch (fma.f64 (+.f64 y x) z (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (* x y))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y)))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y))))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y))))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (* x y)) (taylor 0 z) (#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 y x))) (patch (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y))))) (taylor 0 z) (#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 y x))) (patch (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y)))))) (taylor 0 z) (#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 y x))) (patch (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3))))))))) (taylor 0 z) (#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 y x))) (patch (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 y x)) (patch #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 y x)) (patch #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 y x)) (patch #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 y x)) (patch #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (* x y))) (taylor 0 z) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (* y (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y) (patch (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 5) y))) (pow z 3))) (+ (* y (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))) (/ (* y (+ (* 1/2 (* (sqrt (/ x (pow y 3))) (pow z 2))) (* (sqrt (/ x y)) z))) (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y) (patch (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (* y (+ (* -1/4 (* (sqrt (/ (pow x 3) y)) (/ (pow z 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (* x (pow y 3))) (* z (+ (* -1/4 (/ (* x (pow z 2)) (* (pow y 3) (pow (sqrt -1) 2)))) (/ (pow z 3) (pow y 3)))))))) x)) (* 1/2 (* (sqrt (/ x y)) (pow z 3)))) (pow x 3))) (+ (* y (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))) (/ (* y (+ (* 1/2 (* (sqrt (/ x (pow y 3))) (pow z 2))) (* (sqrt (/ x y)) z))) (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y) (patch (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) (patch (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) y))) z)))))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) (patch (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 5) (pow y 3)))) (pow z 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) y))) z))))))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) (patch (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ (pow x 3) y)) (/ (pow z 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (* x (pow y 3))) (* z (+ (* -1/4 (/ (* x (pow z 2)) (* (pow y 3) (pow (sqrt -1) 2)))) (/ (pow z 3) (pow y 3))))))) x)) (* 1/2 (* (sqrt (/ x (pow y 3))) (pow z 3)))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) y))) z))))))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) (patch (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (* x (pow y 3)))) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (patch (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) z)) (* (sqrt (/ 1 (* x (pow y 3)))) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (patch (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) z)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow y 3)))) (pow z 2))) (* (sqrt (/ 1 (* x (pow y 3)))) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (patch (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* x (* (+ y z) (- y z))) (taylor -inf x) (#s(alt (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (patch (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (* (+ y z) (- y z))) (taylor -inf x) (#s(alt (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (patch (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (* (+ y z) (- y z))) (taylor -inf x) (#s(alt (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (patch (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (* (+ y z) (- y z))) (taylor -inf x) (#s(alt (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (patch (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (/ (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (/ (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) y))) (/ (pow z 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))))) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 (+.f64 z x) y)) (patch (sqrt.f64 (/.f64 (+.f64 z x) y)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	z	@	-inf	((pow (pow (+ (* (+ y x) z) (* y x)) 1/4) 2) (* 2 (pow (pow (+ (* (+ y x) z) (* y x)) 1/4) 2)) (pow (+ (* (+ y x) z) (* y x)) 1/4) (+ (* (+ y x) z) (* y x)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ z y) x) (/ (* (* (+ z y) (- y z)) x) (- y z)) (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (* 2 (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)))) (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* (* (+ z y) (- y z)) x) (sqrt (/ (+ z x) y)))
11.0ms	y	@	-inf	((pow (pow (+ (* (+ y x) z) (* y x)) 1/4) 2) (* 2 (pow (pow (+ (* (+ y x) z) (* y x)) 1/4) 2)) (pow (+ (* (+ y x) z) (* y x)) 1/4) (+ (* (+ y x) z) (* y x)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ z y) x) (/ (* (* (+ z y) (- y z)) x) (- y z)) (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (* 2 (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)))) (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* (* (+ z y) (- y z)) x) (sqrt (/ (+ z x) y)))
10.0ms	x	@	-inf	((pow (pow (+ (* (+ y x) z) (* y x)) 1/4) 2) (* 2 (pow (pow (+ (* (+ y x) z) (* y x)) 1/4) 2)) (pow (+ (* (+ y x) z) (* y x)) 1/4) (+ (* (+ y x) z) (* y x)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ z y) x) (/ (* (* (+ z y) (- y z)) x) (- y z)) (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (* 2 (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)))) (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* (* (+ z y) (- y z)) x) (sqrt (/ (+ z x) y)))
9.0ms	z	@	inf	((pow (pow (+ (* (+ y x) z) (* y x)) 1/4) 2) (* 2 (pow (pow (+ (* (+ y x) z) (* y x)) 1/4) 2)) (pow (+ (* (+ y x) z) (* y x)) 1/4) (+ (* (+ y x) z) (* y x)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ z y) x) (/ (* (* (+ z y) (- y z)) x) (- y z)) (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (* 2 (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)))) (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* (* (+ z y) (- y z)) x) (sqrt (/ (+ z x) y)))
7.0ms	x	@	inf	((pow (pow (+ (* (+ y x) z) (* y x)) 1/4) 2) (* 2 (pow (pow (+ (* (+ y x) z) (* y x)) 1/4) 2)) (pow (+ (* (+ y x) z) (* y x)) 1/4) (+ (* (+ y x) z) (* y x)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ z y) x) (/ (* (* (+ z y) (- y z)) x) (- y z)) (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (* 2 (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)))) (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* (* (+ z y) (- y z)) x) (sqrt (/ (+ z x) y)))

simplify214.0ms (3.2%)

Memory

78.4MiB live, 78.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1528	22519
1	5311	21610
0	8439	20767

Stop Event

1×	iter limit
1×	node limit

Counts

780 → 780

Calls

Call 1

Inputs
(sqrt (* x y))
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(pow (* 1 (* x y)) 1/4)
(+ (* 1/4 (* (pow (* 1 (* x y)) 1/4) (* z (+ (/ 1 x) (/ 1 y))))) (pow (* 1 (* x y)) 1/4))
(+ (* z (+ (* 1/4 (* (pow (* 1 (* x y)) 1/4) (+ (/ 1 x) (/ 1 y)))) (* (pow (* 1 (* x y)) 1/4) (* z (+ (* -1/8 (/ (pow (+ x y) 2) (* (pow x 2) (pow y 2)))) (* 1/32 (pow (+ (/ 1 x) (/ 1 y)) 2))))))) (pow (* 1 (* x y)) 1/4))
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(sqrt (* x y))
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(sqrt (* x y))
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(sqrt (* x y))
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(* -1 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1)))
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(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))))
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(* -1 (* x (+ (* -1 y) (* -1 z))))
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(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
(* x y)
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(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))))
(* -1 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
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(* -1 (* (sqrt (* x (+ y z))) (pow (sqrt -1) 2)))
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(* -1 (* x (* y (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))))))
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(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 5) y))) (pow z 3))) (+ (* y (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))) (/ (* y (+ (* 1/2 (* (sqrt (/ x (pow y 3))) (pow z 2))) (* (sqrt (/ x y)) z))) (pow x 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (* y (+ (* -1/4 (* (sqrt (/ (pow x 3) y)) (/ (pow z 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (* x (pow y 3))) (* z (+ (* -1/4 (/ (* x (pow z 2)) (* (pow y 3) (pow (sqrt -1) 2)))) (/ (pow z 3) (pow y 3)))))))) x)) (* 1/2 (* (sqrt (/ x y)) (pow z 3)))) (pow x 3))) (+ (* y (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))) (/ (* y (+ (* 1/2 (* (sqrt (/ x (pow y 3))) (pow z 2))) (* (sqrt (/ x y)) z))) (pow x 2))))))
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(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 5) (pow y 3)))) (pow z 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) y))) z)))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ (pow x 3) y)) (/ (pow z 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (* x (pow y 3))) (* z (+ (* -1/4 (/ (* x (pow z 2)) (* (pow y 3) (pow (sqrt -1) 2)))) (/ (pow z 3) (pow y 3))))))) x)) (* 1/2 (* (sqrt (/ x (pow y 3))) (pow z 3)))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) y))) z)))))))
(* (sqrt (/ 1 (* x (pow y 3)))) (pow (sqrt -1) 2))
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(+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) z)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow y 3)))) (pow z 2))) (* (sqrt (/ 1 (* x (pow y 3)))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ x (pow y 3))) (pow z 2))) (* 1/2 (* (sqrt (/ (pow y 3) x)) (+ (* -1/4 (/ (* x (pow z 2)) (* (pow y 3) (pow (sqrt -1) 2)))) (/ (pow z 3) (pow y 3)))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) z)) (* (sqrt (/ 1 (* x (pow y 3)))) (pow (sqrt -1) 2))))
(* x (* (+ y z) (- y z)))
(* x (* (+ y z) (- y z)))
(* x (* (+ y z) (- y z)))
(* x (* (+ y z) (- y z)))
(* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (/ (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (/ (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) y))) (/ (pow z 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))))))

Outputs
(sqrt (* x y))
(sqrt.f64 (*.f64 y x))
(+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y)))))
(fma.f64 (.f64 (.f64 (+.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) #s(literal 1/2 binary64) (sqrt.f64 (.f64 y x)))
(+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))))))
(fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1/8 binary64) (.f64 (.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) #s(literal 1/2 binary64))) z (sqrt.f64 (.f64 y x)))
(+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 5 binary64))))) (.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) z) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) z (.f64 (.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) #s(literal 1/2 binary64))) z (sqrt.f64 (.f64 y x)))
(* 2 (sqrt (* x y)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y x)))
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y))))
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(* -1 (* (sqrt (* x (+ y z))) (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (.f64 (+.f64 z y) x)) #s(literal 1 binary64))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))) (* (sqrt (/ (+ y z) x)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 z y))) (.f64 z y)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 z y) x)) #s(literal -1 binary64))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (/ (* (pow y 2) (pow z 2)) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))) (* (sqrt (/ (+ y z) x)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 y y) (/.f64 (.f64 z z) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 z y) #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 z y))) (.f64 z y)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 z y) x)) #s(literal -1 binary64)))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (/ (* (pow y 2) (pow z 2)) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (/ (* (pow y 3) (pow z 3)) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))) (* (sqrt (/ (+ y z) x)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 y y) (/.f64 (.f64 z z) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 z y) #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 (+.f64 z y) #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 z y))) (.f64 z y)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 z y) x)) #s(literal -1 binary64))))) (neg.f64 x))
(* -2 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 (*.f64 (-.f64 (neg.f64 z) y) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64))
(* -1 (* x (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (neg.f64 z) y) x))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (neg.f64 z) y))))) (neg.f64 x))
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))))
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(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 z y) (.f64 z y)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (-.f64 (neg.f64 z) y) #s(literal 3 binary64))))) #s(literal -1/4 binary64) (fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 (-.f64 (neg.f64 z) y) #s(literal 5 binary64))))) #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (neg.f64 z) y) x))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (neg.f64 z) y))))))) (neg.f64 x))
(* -1 (* x (* y (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))))))
(.f64 (.f64 (neg.f64 x) y) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x)))) (neg.f64 z) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) #s(literal 2 binary64))))
(* -1 (* x (+ (* y (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))) (/ (* y (+ (* 1/2 (* (sqrt (/ x (pow y 3))) (pow z 2))) (* (sqrt (/ x y)) z))) (pow x 2)))))
(.f64 (.f64 y (+.f64 (/.f64 (fma.f64 (.f64 (.f64 z z) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 x y)) z)) (.f64 x x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x)))) (neg.f64 z) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) #s(literal 2 binary64))))) (neg.f64 x))
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 5) y))) (pow z 3))) (+ (* y (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))) (/ (* y (+ (* 1/2 (* (sqrt (/ x (pow y 3))) (pow z 2))) (* (sqrt (/ x y)) z))) (pow x 2))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) y)))) (pow.f64 z #s(literal 3 binary64)) (.f64 y (+.f64 (/.f64 (fma.f64 (.f64 (.f64 z z) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 x y)) z)) (.f64 x x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x)))) (neg.f64 z) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) #s(literal 2 binary64)))))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (* y (+ (* -1/4 (* (sqrt (/ (pow x 3) y)) (/ (pow z 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (* x (pow y 3))) (* z (+ (* -1/4 (/ (* x (pow z 2)) (* (pow y 3) (pow (sqrt -1) 2)))) (/ (pow z 3) (pow y 3)))))))) x)) (* 1/2 (* (sqrt (/ x y)) (pow z 3)))) (pow x 3))) (+ (* y (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))) (/ (* y (+ (* 1/2 (* (sqrt (/ x (pow y 3))) (pow z 2))) (* (sqrt (/ x y)) z))) (pow x 2))))))
(.f64 (-.f64 (.f64 y (+.f64 (/.f64 (fma.f64 (.f64 (.f64 z z) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 x y)) z)) (.f64 x x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x)))) (neg.f64 z) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) #s(literal 2 binary64))))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 z z) x) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) z) (.f64 (.f64 (/.f64 (.f64 z z) #s(literal -1 binary64)) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) #s(literal -1/4 binary64))) x) (.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x)))) (neg.f64 z) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))) #s(literal 2 binary64))) (neg.f64 x))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) y))) z))))))
(.f64 (fma.f64 (neg.f64 (neg.f64 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (.f64 z z) (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y))) z)))) (neg.f64 x))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 5) (pow y 3)))) (pow z 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) y))) z)))))))
(.f64 (fma.f64 (neg.f64 (neg.f64 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 z #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (.f64 z z) (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) z))))) (neg.f64 x))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ (pow x 3) y)) (/ (pow z 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (* x (pow y 3))) (* z (+ (* -1/4 (/ (* x (pow z 2)) (* (pow y 3) (pow (sqrt -1) 2)))) (/ (pow z 3) (pow y 3))))))) x)) (* 1/2 (* (sqrt (/ x (pow y 3))) (pow z 3)))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) y))) z)))))))
(.f64 (fma.f64 (neg.f64 (neg.f64 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x))) (-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (.f64 z z) (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y))) z))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (pow.f64 z #s(literal 3 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 z z) x) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) z) (.f64 (.f64 (/.f64 (*.f64 z z) #s(literal -1 binary64)) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) #s(literal -1/4 binary64))) (neg.f64 x))) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x))
(* (sqrt (/ 1 (* x (pow y 3)))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) z)) (* (sqrt (/ 1 (* x (pow y 3)))) (pow (sqrt -1) 2)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) z (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) z)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow y 3)))) (pow z 2))) (* (sqrt (/ 1 (* x (pow y 3)))) (pow (sqrt -1) 2))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) z (fma.f64 (.f64 (.f64 z z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 3 binary64))))) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x))))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ x (pow y 3))) (pow z 2))) (* 1/2 (* (sqrt (/ (pow y 3) x)) (+ (* -1/4 (/ (* x (pow z 2)) (* (pow y 3) (pow (sqrt -1) 2)))) (/ (pow z 3) (pow y 3)))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) z)) (* (sqrt (/ 1 (* x (pow y 3)))) (pow (sqrt -1) 2))))
(-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) z (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x))))) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (.f64 z z) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x))) (fma.f64 (/.f64 (.f64 (.f64 z z) x) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
(* x (* (+ y z) (- y z)))
(.f64 (.f64 (+.f64 z y) x) (-.f64 y z))
(* x (* (+ y z) (- y z)))
(.f64 (.f64 (+.f64 z y) x) (-.f64 y z))
(* x (* (+ y z) (- y z)))
(.f64 (.f64 (+.f64 z y) x) (-.f64 y z))
(* x (* (+ y z) (- y z)))
(.f64 (.f64 (+.f64 z y) x) (-.f64 y z))
(* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)))) z (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (/ (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) y)))) (/.f64 (.f64 z z) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)))) z (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (/ (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) y))) (/ (pow z 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) y)))) (/.f64 (.f64 z z) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) y)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)))) z (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))))))) (neg.f64 x))

rewrite174.0ms (2.6%)

Memory

66.3MiB live, 66.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	334
0	81	283
1	287	264
2	2067	264
0	8924	264

Stop Event

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

Counts

22 → 724

Calls

Call 1

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

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eval207.0ms (3.1%)

Memory: 129.2MiB live, 129.2MiB allocated
Compiler: Compiled 45 931 to 4 930 computations (89.3% saved)

prune79.0ms (1.2%)

Memory

75.3MiB live, 75.3MiB allocated

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	1 511	19	1 530
Fresh	11	1	12
Picked	3	2	5
Done	0	0	0
Total	1 525	22	1 547

Accuracy

99.4%

Counts

1 547 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.7%	(.f64 #s(literal 2 binary64) (pow.f64 #s(approx (pow (+ ( (+ y x) z) (* y x)) 1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64)))
	42.7%	(.f64 #s(literal 2 binary64) (pow.f64 #s(approx (pow (+ ( (+ y x) z) (* y x)) 1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 z) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) #s(literal 2 binary64)))
	43.0%	(.f64 #s(literal 2 binary64) (pow.f64 #s(approx (pow (+ ( (+ y x) z) (* y x)) 1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 z) (log.f64 (+.f64 y x))))) #s(literal 2 binary64)))
	65.4%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x))))))
▶	65.8%	(.f64 #s(literal 2 binary64) (.f64 (pow.f64 (fma.f64 z (+.f64 x y) (.f64 x y)) #s(literal 3/8 binary64)) (pow.f64 (fma.f64 z (+.f64 x y) (.f64 x y)) #s(literal 1/8 binary64))))
	33.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(approx (/ ( (* (+ z y) (- y z)) x) (- y z)) (.f64 z x)) (.f64 y z))))
	33.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 (+.f64 y x) z))))
	32.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z y))))
▶	3.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z x))))
▶	24.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) (-.f64 z y)))))
	25.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (/.f64 x (-.f64 y z)) (.f64 (-.f64 y z) (+.f64 z y))))))
✓	36.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
✓	34.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	23.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z)))))
	39.7%	#s(approx (* 2 (pow (pow (+ (* (+ y x) z) (* y x)) 1/4) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x))) (.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
	27.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))) (.f64 #s(literal 4 binary64) (/.f64 (+.f64 z x) y))) y) (fma.f64 (/.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 z x))) (.f64 z x) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))))))
▶	37.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (*.f64 (/.f64 (sqrt.f64 (+.f64 z x)) (sqrt.f64 y)) #s(literal 2 binary64))) y))
	35.5%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 z x)))) #s(literal 2 binary64))) y))
	37.1%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 z x))) #s(literal 2 binary64))) y))
	44.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -1 binary64)) #s(literal 2 binary64))) y))
▶	43.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y))
	19.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (/.f64 (fma.f64 (sqrt.f64 (/.f64 y (+.f64 z x))) (.f64 z x) (.f64 (sqrt.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 2 binary64))) y)))

Compiler

Compiled 752 to 587 computations (21.9% saved)

simplify136.0ms (2%)

Memory

36.0MiB live, 36.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64))))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (.f64 (/.f64 (sqrt.f64 (+.f64 z x)) (sqrt.f64 y)) #s(literal 2 binary64)))
cost-diff	0	(.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (*.f64 (/.f64 (sqrt.f64 (+.f64 z x)) (sqrt.f64 y)) #s(literal 2 binary64))) y)
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (*.f64 (/.f64 (sqrt.f64 (+.f64 z x)) (sqrt.f64 y)) #s(literal 2 binary64))) y))
cost-diff	0	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) (-.f64 z y)))
cost-diff	0	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) (-.f64 z y))))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) (-.f64 z y)))))
cost-diff	1408	(/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) (-.f64 z y))
cost-diff	0	(*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y)
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y))
cost-diff	0	(*.f64 z x)
cost-diff	0	#s(approx (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z x))
cost-diff	0	(sqrt.f64 #s(approx (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z x)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z x))))
cost-diff	0	(fma.f64 z (+.f64 x y) (*.f64 x y))
cost-diff	0	(pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/8 binary64))
cost-diff	0	(.f64 (pow.f64 (fma.f64 z (+.f64 x y) (.f64 x y)) #s(literal 3/8 binary64)) (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/8 binary64)))
cost-diff	0	(.f64 #s(literal 2 binary64) (.f64 (pow.f64 (fma.f64 z (+.f64 x y) (.f64 x y)) #s(literal 3/8 binary64)) (pow.f64 (fma.f64 z (+.f64 x y) (.f64 x y)) #s(literal 1/8 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	549
0	104	534
1	165	534
2	282	534
3	649	492
4	1319	475
5	3706	475
6	7827	475
0	8090	472

Stop Event

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

Calls

Call 1

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

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

localize148.0ms (2.2%)

Memory

52.5MiB live, 52.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.47025237233307027	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (*.f64 (/.f64 (sqrt.f64 (+.f64 z x)) (sqrt.f64 y)) #s(literal 2 binary64))) y))
accuracy	1.4605459478546239	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))
accuracy	3.6233432368417504	(fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (.f64 z x) (.f64 (/.f64 (sqrt.f64 (+.f64 z x)) (sqrt.f64 y)) #s(literal 2 binary64)))
accuracy	7.8759855620520005	(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64))))
accuracy	6.809072152352466	(.f64 (.f64 (+.f64 z y) (-.f64 z y)) x)
accuracy	10.494226956297918	(/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) (-.f64 z y))
accuracy	11.288162231535955	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) (-.f64 z y))))
accuracy	28.156730071281782	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) (-.f64 z y)))
accuracy	0.140625	(.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y)
accuracy	0.47025237233307027	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y))
accuracy	1.2074387778998767	#s(approx (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64)))
accuracy	3.3355928258957084	(sqrt.f64 (/.f64 z y))
accuracy	0	(*.f64 z x)
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z x))))
accuracy	11.288162231535955	(sqrt.f64 #s(approx (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z x)))
accuracy	28.156735656671874	#s(approx (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z x))
accuracy	0.18359375	(.f64 (pow.f64 (fma.f64 z (+.f64 x y) (.f64 x y)) #s(literal 3/8 binary64)) (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/8 binary64)))
accuracy	0.2539034976055602	(fma.f64 z (+.f64 x y) (*.f64 x y))
accuracy	11.415848008779047	(pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/8 binary64))
accuracy	11.512682492679216	(pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/8 binary64))

Samples

55.0ms	129×	0	invalid
52.0ms	127×	0	valid

Compiler

Compiled 801 to 102 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 29.0ms (36.2% of total)

ival-pow: 14.0ms (17.5% of total)

ival-div: 11.0ms (13.7% of total)

ival-add: 11.0ms (13.7% of total)

ival-sqrt: 11.0ms (13.7% of total)

ival-sub: 3.0ms (3.7% of total)

exact: 1.0ms (1.2% of total)

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

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

series264.0ms (4%)

Memory

128.0MiB live, 128.0MiB allocated

Counts

24 → 828

Calls

Call 1

Inputs
#s(alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (fma.f64 z (+.f64 x y) (.f64 x y)) #s(literal 3/8 binary64)) (pow.f64 (fma.f64 z (+.f64 x y) (.f64 x y)) #s(literal 1/8 binary64)))) (patch (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (fma.f64 z (+.f64 x y) (.f64 x y)) #s(literal 3/8 binary64)) (pow.f64 (fma.f64 z (+.f64 x y) (.f64 x y)) #s(literal 1/8 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (fma.f64 z (+.f64 x y) (.f64 x y)) #s(literal 3/8 binary64)) (pow.f64 (fma.f64 z (+.f64 x y) (.f64 x y)) #s(literal 1/8 binary64))) (patch (.f64 (pow.f64 (fma.f64 z (+.f64 x y) (.f64 x y)) #s(literal 3/8 binary64)) (pow.f64 (fma.f64 z (+.f64 x y) (.f64 x y)) #s(literal 1/8 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 z (+.f64 x y) (.f64 x y)) #s(literal 3/8 binary64)) (patch (pow.f64 (fma.f64 z (+.f64 x y) (.f64 x y)) #s(literal 3/8 binary64)) #<representation binary64>) () ())
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Outputs
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#s(alt (+ (exp (* 1/8 (+ (log (+ (* -1 y) (* -1 z))) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/8 (+ (log (+ (* -1 y) (* -1 z))) (* -1 (log (/ -1 x)))))) (+ (* -1/128 (/ (* (pow y 3) (pow z 3)) (pow (+ (* -1 y) (* -1 z)) 3))) (+ (* 1/3072 (/ (* (pow y 3) (pow z 3)) (pow (+ (* -1 y) (* -1 z)) 3))) (* 1/24 (/ (* (pow y 3) (pow z 3)) (pow (+ (* -1 y) (* -1 z)) 3)))))) x)) (* (exp (* 1/8 (+ (log (+ (* -1 y) (* -1 z))) (* -1 (log (/ -1 x)))))) (+ (* -1/16 (/ (* (pow y 2) (pow z 2)) (pow (+ (* -1 y) (* -1 z)) 2))) (* 1/128 (/ (* (pow y 2) (pow z 2)) (pow (+ (* -1 y) (* -1 z)) 2)))))) x)) (* 1/8 (/ (* y (* z (exp (* 1/8 (+ (log (+ (* -1 y) (* -1 z))) (* -1 (log (/ -1 x)))))))) (+ (* -1 y) (* -1 z))))) x))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 z (+.f64 x y) (.f64 x y)) #s(literal 1/8 binary64)) (patch (pow.f64 (fma.f64 z (+.f64 x y) (.f64 x y)) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (* (+ y z) (- z y))) (taylor -inf x) (#s(alt (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) (patch (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (* (+ y z) (- z y))) (taylor -inf x) (#s(alt (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) (patch (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (* (+ y z) (- z y))) (taylor -inf x) (#s(alt (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) (patch (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (* (+ y z) (- z y))) (taylor -inf x) (#s(alt (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) (patch (.f64 (.f64 (+.f64 z y) (-.f64 z y)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (pow y 3))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ z (* x (pow y 3))) (/ 1 (pow y 3))) x)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
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Calls

9 calls:

Time	Variable		Point	Expression
63.0ms	z	@	0	((* 2 (* (pow (+ (* z (+ x y)) (* x y)) 3/8) (pow (+ (* z (+ x y)) (* x y)) 1/8))) (* (pow (+ (* z (+ x y)) (* x y)) 3/8) (pow (+ (* z (+ x y)) (* x y)) 1/8)) (pow (+ (* z (+ x y)) (* x y)) 3/8) (+ (* z (+ x y)) (* x y)) (* 2 (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)))) (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z))) (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (* z x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (* (sqrt (/ z y)) 2) (/ (* (* (+ z y) (- z y)) x) (- z y)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (/ (sqrt (+ z x)) (sqrt y)) 2)) y) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (/ (sqrt (+ z x)) (sqrt y)) 2)) (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (pow (+ (* z (+ x y)) (* x y)) 1/8) (sqrt (/ z y)) (* (* (+ z y) (- z y)) x) (/ (/ 1 (+ z x)) (pow y 3)))
22.0ms	z	@	inf	((* 2 (* (pow (+ (* z (+ x y)) (* x y)) 3/8) (pow (+ (* z (+ x y)) (* x y)) 1/8))) (* (pow (+ (* z (+ x y)) (* x y)) 3/8) (pow (+ (* z (+ x y)) (* x y)) 1/8)) (pow (+ (* z (+ x y)) (* x y)) 3/8) (+ (* z (+ x y)) (* x y)) (* 2 (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)))) (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z))) (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (* z x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (* (sqrt (/ z y)) 2) (/ (* (* (+ z y) (- z y)) x) (- z y)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (/ (sqrt (+ z x)) (sqrt y)) 2)) y) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (/ (sqrt (+ z x)) (sqrt y)) 2)) (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (pow (+ (* z (+ x y)) (* x y)) 1/8) (sqrt (/ z y)) (* (* (+ z y) (- z y)) x) (/ (/ 1 (+ z x)) (pow y 3)))
22.0ms	y	@	-inf	((* 2 (* (pow (+ (* z (+ x y)) (* x y)) 3/8) (pow (+ (* z (+ x y)) (* x y)) 1/8))) (* (pow (+ (* z (+ x y)) (* x y)) 3/8) (pow (+ (* z (+ x y)) (* x y)) 1/8)) (pow (+ (* z (+ x y)) (* x y)) 3/8) (+ (* z (+ x y)) (* x y)) (* 2 (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)))) (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z))) (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (* z x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (* (sqrt (/ z y)) 2) (/ (* (* (+ z y) (- z y)) x) (- z y)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (/ (sqrt (+ z x)) (sqrt y)) 2)) y) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (/ (sqrt (+ z x)) (sqrt y)) 2)) (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (pow (+ (* z (+ x y)) (* x y)) 1/8) (sqrt (/ z y)) (* (* (+ z y) (- z y)) x) (/ (/ 1 (+ z x)) (pow y 3)))
19.0ms	x	@	-inf	((* 2 (* (pow (+ (* z (+ x y)) (* x y)) 3/8) (pow (+ (* z (+ x y)) (* x y)) 1/8))) (* (pow (+ (* z (+ x y)) (* x y)) 3/8) (pow (+ (* z (+ x y)) (* x y)) 1/8)) (pow (+ (* z (+ x y)) (* x y)) 3/8) (+ (* z (+ x y)) (* x y)) (* 2 (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)))) (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z))) (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (* z x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (* (sqrt (/ z y)) 2) (/ (* (* (+ z y) (- z y)) x) (- z y)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (/ (sqrt (+ z x)) (sqrt y)) 2)) y) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (/ (sqrt (+ z x)) (sqrt y)) 2)) (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (pow (+ (* z (+ x y)) (* x y)) 1/8) (sqrt (/ z y)) (* (* (+ z y) (- z y)) x) (/ (/ 1 (+ z x)) (pow y 3)))
19.0ms	z	@	-inf	((* 2 (* (pow (+ (* z (+ x y)) (* x y)) 3/8) (pow (+ (* z (+ x y)) (* x y)) 1/8))) (* (pow (+ (* z (+ x y)) (* x y)) 3/8) (pow (+ (* z (+ x y)) (* x y)) 1/8)) (pow (+ (* z (+ x y)) (* x y)) 3/8) (+ (* z (+ x y)) (* x y)) (* 2 (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)))) (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z))) (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (* z x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (* (sqrt (/ z y)) 2) (/ (* (* (+ z y) (- z y)) x) (- z y)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (/ (sqrt (+ z x)) (sqrt y)) 2)) y) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (/ (sqrt (+ z x)) (sqrt y)) 2)) (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (pow (+ (* z (+ x y)) (* x y)) 1/8) (sqrt (/ z y)) (* (* (+ z y) (- z y)) x) (/ (/ 1 (+ z x)) (pow y 3)))

simplify232.0ms (3.5%)

Memory

86.7MiB live, 86.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2066	28485
1	6182	27557
0	8139	26484

Stop Event

1×	iter limit
1×	node limit

Counts

828 → 828

Calls

Call 1

Inputs
(* 2 (sqrt (* x y)))
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y))))
(+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(sqrt (* x y))
(+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y)))))
(+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))))))
(+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))))))
(pow (* 1 (* (pow x 3) (pow y 3))) 1/8)
(+ (* 1/8 (* (pow (* 1 (* (pow x 3) (pow y 3))) 1/8) (* z (+ (* 2 (/ (+ x y) (* x y))) (+ (/ 1 x) (/ 1 y)))))) (pow (* 1 (* (pow x 3) (pow y 3))) 1/8))
(+ (* z (+ (* 1/8 (* (pow (* 1 (* (pow x 3) (pow y 3))) 1/8) (+ (* 2 (/ (+ x y) (* x y))) (+ (/ 1 x) (/ 1 y))))) (* (pow (* 1 (* (pow x 3) (pow y 3))) 1/8) (* z (+ (* 1/128 (pow (+ (* 2 (/ (+ x y) (* x y))) (+ (/ 1 x) (/ 1 y))) 2)) (* 1/16 (+ (* -1 (/ (pow (+ (* 2 (* (pow x 2) (* (pow y 2) (+ x y)))) (* (pow x 2) (* (pow y 2) (+ x y)))) 2) (* (pow x 6) (pow y 6)))) (* 2 (/ (+ (* 2 (* x (* y (pow (+ x y) 2)))) (* x (* y (pow (+ x y) 2)))) (* (pow x 3) (pow y 3))))))))))) (pow (* 1 (* (pow x 3) (pow y 3))) 1/8))
(+ (* z (+ (* 1/8 (* (pow (* 1 (* (pow x 3) (pow y 3))) 1/8) (+ (* 2 (/ (+ x y) (* x y))) (+ (/ 1 x) (/ 1 y))))) (* z (+ (* (pow (* 1 (* (pow x 3) (pow y 3))) 1/8) (* z (+ (* 1/3072 (pow (+ (* 2 (/ (+ x y) (* x y))) (+ (/ 1 x) (/ 1 y))) 3)) (+ (* 1/128 (* (+ (* -1 (/ (pow (+ (* 2 (* (pow x 2) (* (pow y 2) (+ x y)))) (* (pow x 2) (* (pow y 2) (+ x y)))) 2) (* (pow x 6) (pow y 6)))) (* 2 (/ (+ (* 2 (* x (* y (pow (+ x y) 2)))) (* x (* y (pow (+ x y) 2)))) (* (pow x 3) (pow y 3))))) (+ (* 2 (/ (+ x y) (* x y))) (+ (/ 1 x) (/ 1 y))))) (* 1/48 (+ (* -6 (/ (* (+ (* 2 (* x (* y (pow (+ x y) 2)))) (* x (* y (pow (+ x y) 2)))) (+ (* 2 (* (pow x 2) (* (pow y 2) (+ x y)))) (* (pow x 2) (* (pow y 2) (+ x y))))) (* (pow x 6) (pow y 6)))) (+ (* 2 (/ (pow (+ (* 2 (* (pow x 2) (* (pow y 2) (+ x y)))) (* (pow x 2) (* (pow y 2) (+ x y)))) 3) (* (pow x 9) (pow y 9)))) (* 6 (/ (pow (+ x y) 3) (* (pow x 3) (pow y 3))))))))))) (* (pow (* 1 (* (pow x 3) (pow y 3))) 1/8) (+ (* 1/128 (pow (+ (* 2 (/ (+ x y) (* x y))) (+ (/ 1 x) (/ 1 y))) 2)) (* 1/16 (+ (* -1 (/ (pow (+ (* 2 (* (pow x 2) (* (pow y 2) (+ x y)))) (* (pow x 2) (* (pow y 2) (+ x y)))) 2) (* (pow x 6) (pow y 6)))) (* 2 (/ (+ (* 2 (* x (* y (pow (+ x y) 2)))) (* x (* y (pow (+ x y) 2)))) (* (pow x 3) (pow y 3)))))))))))) (pow (* 1 (* (pow x 3) (pow y 3))) 1/8))
(* x y)
(+ (* x y) (* z (+ x y)))
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(* 2 (sqrt (* x y)))
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(+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
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(* x y)
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(* x z)
(* x z)
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(* 2 (sqrt (* x y)))
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(+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(* 2 (sqrt (* x y)))
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(+ (* 2 (sqrt (* x y))) (* z (+ (* y (+ (sqrt (/ 1 (* x y))) (sqrt (/ x (pow y 3))))) (* z (+ (* y (* z (+ (* 1/8 (sqrt (/ 1 (* (pow x 5) y)))) (* 3/8 (sqrt (/ 1 (* (pow x 3) (pow y 3)))))))) (* y (+ (* -1/2 (sqrt (/ 1 (* x (pow y 3))))) (* -1/4 (sqrt (/ 1 (* (pow x 3) y)))))))))))
(* 2 (sqrt (/ x y)))
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(+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
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(* 2 (sqrt (* x y)))
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(* 2 (sqrt (/ x y)))
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(/ 1 (* (pow y 3) z))
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(sqrt (* x z))
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Outputs
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(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ (pow x 3) y)) (/ (pow z 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (* x (pow y 3))) (* z (+ (* -1/4 (/ (* x (pow z 2)) (* (pow y 3) (pow (sqrt -1) 2)))) (/ (pow z 3) (pow y 3))))))) x)) (* 1/2 (* (sqrt (/ x (pow y 3))) (pow z 3)))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) y))) z)))))))
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(* (sqrt (/ 1 (* x (pow y 3)))) (pow (sqrt -1) 2))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) z)) (* (sqrt (/ 1 (* x (pow y 3)))) (pow (sqrt -1) 2)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) z (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) z)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow y 3)))) (pow z 2))) (* (sqrt (/ 1 (* x (pow y 3)))) (pow (sqrt -1) 2))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) z (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 3 binary64)))) (.f64 z z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ x (pow y 3))) (pow z 2))) (* 1/2 (* (sqrt (/ (pow y 3) x)) (+ (* -1/4 (/ (* x (pow z 2)) (* (pow y 3) (pow (sqrt -1) 2)))) (/ (pow z 3) (pow y 3)))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) z)) (* (sqrt (/ 1 (* x (pow y 3)))) (pow (sqrt -1) 2))))
(-.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) z (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (.f64 x (.f64 z z)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 z z)))) (pow.f64 x #s(literal 3 binary64))))
(exp (* 1/8 (+ (log (+ (* -1 y) (* -1 z))) (* -1 (log (/ -1 x))))))
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (exp (* 1/8 (+ (log (+ (* -1 y) (* -1 z))) (* -1 (log (/ -1 x)))))) (* -1/8 (/ (* y (* z (exp (* 1/8 (+ (log (+ (* -1 y) (* -1 z))) (* -1 (log (/ -1 x)))))))) (* x (+ (* -1 y) (* -1 z))))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (.f64 (.f64 y z) (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (-.f64 (neg.f64 z) y)) (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(+ (exp (* 1/8 (+ (log (+ (* -1 y) (* -1 z))) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/8 (+ (log (+ (* -1 y) (* -1 z))) (* -1 (log (/ -1 x)))))) (+ (* -1/16 (/ (* (pow y 2) (pow z 2)) (pow (+ (* -1 y) (* -1 z)) 2))) (* 1/128 (/ (* (pow y 2) (pow z 2)) (pow (+ (* -1 y) (* -1 z)) 2))))) x)) (* 1/8 (/ (* y (* z (exp (* 1/8 (+ (log (+ (* -1 y) (* -1 z))) (* -1 (log (/ -1 x)))))))) (+ (* -1 y) (* -1 z))))) x)))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 y z) (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (+.f64 z y)) (.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 (.f64 (/.f64 (.f64 (.f64 y z) (*.f64 y z)) (pow.f64 (+.f64 z y) #s(literal 2 binary64))) #s(literal -7/128 binary64)) x))) x))
(+ (exp (* 1/8 (+ (log (+ (* -1 y) (* -1 z))) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/8 (+ (log (+ (* -1 y) (* -1 z))) (* -1 (log (/ -1 x)))))) (+ (* -1/128 (/ (* (pow y 3) (pow z 3)) (pow (+ (* -1 y) (* -1 z)) 3))) (+ (* 1/3072 (/ (* (pow y 3) (pow z 3)) (pow (+ (* -1 y) (* -1 z)) 3))) (* 1/24 (/ (* (pow y 3) (pow z 3)) (pow (+ (* -1 y) (* -1 z)) 3)))))) x)) (* (exp (* 1/8 (+ (log (+ (* -1 y) (* -1 z))) (* -1 (log (/ -1 x)))))) (+ (* -1/16 (/ (* (pow y 2) (pow z 2)) (pow (+ (* -1 y) (* -1 z)) 2))) (* 1/128 (/ (* (pow y 2) (pow z 2)) (pow (+ (* -1 y) (* -1 z)) 2)))))) x)) (* 1/8 (/ (* y (* z (exp (* 1/8 (+ (log (+ (* -1 y) (* -1 z))) (* -1 (log (/ -1 x)))))))) (+ (* -1 y) (* -1 z))))) x)))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 y z) (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (+.f64 z y)) (/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (pow.f64 (+.f64 z y) #s(literal 2 binary64))) #s(literal -7/128 binary64))) (.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (-.f64 (neg.f64 z) y) #s(literal 3 binary64))) #s(literal 43/1024 binary64) (.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (-.f64 (neg.f64 z) y) #s(literal 3 binary64))))) x)))) x)) x))
(* x (* (+ y z) (- z y)))
(.f64 (.f64 x (+.f64 z y)) (-.f64 z y))
(* x (* (+ y z) (- z y)))
(.f64 (.f64 x (+.f64 z y)) (-.f64 z y))
(* x (* (+ y z) (- z y)))
(.f64 (.f64 x (+.f64 z y)) (-.f64 z y))
(* x (* (+ y z) (- z y)))
(.f64 (.f64 x (+.f64 z y)) (-.f64 z y))
(/ 1 (* x (pow y 3)))
(/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))
(* -1 (/ (- (/ z (* x (pow y 3))) (/ 1 (pow y 3))) x))
(neg.f64 (/.f64 (-.f64 (/.f64 z (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x (pow y 3))) (/ z (pow y 3))) x)) (/ 1 (pow y 3))) x))
(/.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 z x) (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (/.f64 z (pow.f64 y #s(literal 3 binary64))))) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* x (pow y 3))) (/ (pow z 2) (pow y 3))) x)) (/ z (pow y 3))) x)) (/ 1 (pow y 3))) x))
(/.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 z z) (pow.f64 y #s(literal 3 binary64))))) x) (/.f64 z (pow.f64 y #s(literal 3 binary64))))) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) x)

rewrite172.0ms (2.6%)

Memory

65.7MiB live, 65.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	69	469
0	104	424
1	354	349
2	2417	349
0	9342	349

Stop Event

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

Counts

24 → 658

Calls

Call 1

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

Outputs
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eval241.0ms (3.6%)

Memory: 148.7MiB live, 148.7MiB allocated
Compiler: Compiled 59 816 to 6 625 computations (88.9% saved)

prune89.0ms (1.3%)

Memory

85.3MiB live, 85.3MiB allocated

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	1 693	12	1 705
Fresh	5	10	15
Picked	3	2	5
Done	0	2	2
Total	1 701	26	1 727

Accuracy

99.4%

Counts

1 727 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.7%	(.f64 #s(literal 2 binary64) (pow.f64 #s(approx (pow (+ ( (+ y x) z) (* y x)) 1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64)))
	42.7%	(.f64 #s(literal 2 binary64) (pow.f64 #s(approx (pow (+ ( (+ y x) z) (* y x)) 1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 z) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) #s(literal 2 binary64)))
	43.0%	(.f64 #s(literal 2 binary64) (pow.f64 #s(approx (pow (+ ( (+ y x) z) (* y x)) 1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 z) (log.f64 (+.f64 y x))))) #s(literal 2 binary64)))
▶	65.4%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x))))))
	33.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(approx (/ ( (* (+ z y) (- y z)) x) (- y z)) (.f64 z x)) (.f64 y z))))
	33.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 (+.f64 y x) z))))
▶	32.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z y))))
✓	3.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z x))))
	23.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 #s(approx (* (* (+ z y) (- z y)) x) (.f64 (neg.f64 x) (.f64 y y))) (-.f64 z y)))))
	25.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (/.f64 x (-.f64 z y)) (.f64 (-.f64 z y) (+.f64 y z))))))
✓	36.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
	35.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (.f64 (/.f64 (-.f64 z y) (-.f64 z y)) (/.f64 (+.f64 y z) (+.f64 y z))) (/.f64 x (pow.f64 (+.f64 y z) #s(literal -1 binary64)))))))
✓	34.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	23.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) #s(approx (/ (* (* (+ z y) (- z y)) x) (- z y)) (*.f64 z (fma.f64 x (/.f64 y z) x))))))
	39.7%	#s(approx (* 2 (pow (pow (+ (* (+ y x) z) (* y x)) 1/4) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x))) (.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
	27.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))) (.f64 #s(literal 4 binary64) (/.f64 (+.f64 z x) y))) y) (fma.f64 (/.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 z x))) (.f64 z x) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))))))
	47.5%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (/.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y))) y))
▶	43.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (pow.f64 (pow.f64 (/.f64 y z) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) y))
▶	43.5%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) y))
	43.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y z))) #s(literal 2 binary64))) y))
	47.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 z)) #s(literal 2 binary64))) y))
▶	44.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -1 binary64)) #s(literal 2 binary64))) y))
✓	43.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y))
	40.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 z y)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) y))
	1.9%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 #s(approx (sqrt (/ z y)) (.f64 (sqrt.f64 (/.f64 z y)) #s(literal -1 binary64))) #s(literal 2 binary64))) y))
	19.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (/ (sqrt (+ z x)) (sqrt y)) 2)) y) (/.f64 (fma.f64 (.f64 x z) (sqrt.f64 (/.f64 y (+.f64 z x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x))))) y)))

Compiler

Compiled 749 to 629 computations (16% saved)

simplify120.0ms (1.8%)

Memory

32.4MiB live, 32.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (pow.f64 (pow.f64 (/.f64 y z) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (pow.f64 (pow.f64 (/.f64 y z) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) y)
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (pow.f64 (pow.f64 (/.f64 y z) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) y))
cost-diff	6464	(pow.f64 (pow.f64 (/.f64 y z) #s(literal -1/4 binary64)) #s(literal 2 binary64))
cost-diff	0	(*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) y)
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) y))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -1 binary64)) #s(literal 2 binary64))) y)
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -1 binary64)) #s(literal 2 binary64))) y))
cost-diff	128	(.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -1 binary64)) #s(literal 2 binary64))
cost-diff	192	(*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -1 binary64))
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z y))
cost-diff	0	(sqrt.f64 #s(approx (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z y)))
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z y))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))))
cost-diff	320	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	576
0	89	550
1	143	546
2	219	546
3	409	528
4	777	519
5	2161	519
6	5696	519
0	8173	510

Stop Event

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

Calls

Call 1

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

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

localize141.0ms (2.1%)

Memory

48.7MiB live, 48.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.4498825195368841	(pow.f64 (pow.f64 (/.f64 y z) #s(literal -1/4 binary64)) #s(literal 2 binary64))
accuracy	4.993964663111898	(pow.f64 (/.f64 y z) #s(literal -1/4 binary64))
accuracy	17.508536768125474	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (pow.f64 (pow.f64 (/.f64 y z) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) y))
accuracy	17.599555968555144	#s(approx (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (pow.f64 (pow.f64 (/.f64 y z) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
accuracy	0.23046875	(.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) y)
accuracy	4.955857376796154	(pow.f64 (/.f64 y z) #s(literal -1/2 binary64))
accuracy	17.508536768125474	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) y))
accuracy	17.599555968555144	#s(approx (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
accuracy	0.23046875	(.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -1 binary64)) #s(literal 2 binary64))) y)
accuracy	5.738173546495455	(sqrt.f64 (/.f64 (+.f64 z x) y))
accuracy	17.508536768125474	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -1 binary64)) #s(literal 2 binary64))) y))
accuracy	48.471745870177116	#s(approx (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -1 binary64)) #s(literal 2 binary64)))
accuracy	0	(*.f64 z y)
accuracy	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z y))))
accuracy	15.93715127228319	#s(approx (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z y))
accuracy	17.44823499300112	(sqrt.f64 #s(approx (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z y)))
accuracy	0.19140625	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))))
accuracy	0.2539034976055602	(fma.f64 (+.f64 y x) z (*.f64 y x))
accuracy	0.6789826669656402	(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))
accuracy	16.97415047077357	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))))

Samples

80.0ms	196×	0	valid
24.0ms	60×	0	invalid

Compiler

Compiled 682 to 94 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 30.0ms (38.3% of total)

ival-pow: 13.0ms (16.6% of total)

ival-div: 12.0ms (15.3% of total)

ival-add: 10.0ms (12.8% of total)

ival-sqrt: 9.0ms (11.5% of total)

ival-pow2: 3.0ms (3.8% of total)

ival-sub: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

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

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

series194.0ms (2.9%)

Memory

65.1MiB live, 65.1MiB allocated

Counts

25 → 840

Calls

Call 1

Inputs
#s(alt (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x)))))) (patch (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (.f64 y x))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (.f64 z y)))) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z y)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (.f64 z y))) (patch (sqrt.f64 #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (.f64 z y)) (patch #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -1 binary64)) (patch (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -1 binary64)) #s(literal 2 binary64)) (patch (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -1 binary64)) #s(literal 2 binary64))) y)) (patch #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -1 binary64)) #s(literal 2 binary64))) y)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -1 binary64)) #s(literal 2 binary64))) y) (patch (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -1 binary64)) #s(literal 2 binary64))) y) #<representation binary64>) () ())
#s(alt #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) y)) (patch #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) y)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) y) (patch (.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (/.f64 y z) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 y z) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (pow.f64 (pow.f64 (/.f64 y z) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) y)) (patch #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (pow.f64 (pow.f64 (/.f64 y z) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) y)) #<representation binary64>) () ())
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#s(alt (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 y z) #s(literal -1/4 binary64)) (patch (pow.f64 (/.f64 y z) #s(literal -1/4 binary64)) #<representation binary64>) () ())

Outputs
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#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (.f64 z y)) (patch #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt #s(approx (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (.f64 z y)) (patch #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt #s(approx (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (.f64 z y)) (patch #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z y)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -2 (sqrt (/ x y))) (* z (+ (* -1 (sqrt (/ 1 (* x y)))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) z)) (* 1/4 (sqrt (/ 1 (* (pow x 3) y))))))))) (taylor 0 z) (#s(alt (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -1 binary64)) #s(literal 2 binary64)) (patch (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal -1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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Calls

9 calls:

Time	Variable		Point	Expression
53.0ms	y	@	-inf	((* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)))) (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z))) (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (* z y) (* (sqrt (/ (+ z x) y)) -1) (* (* (sqrt (/ (+ z x) y)) -1) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (* (pow (/ y z) -1/2) 2) (pow (pow (/ y z) -1/4) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (+ (* (+ y x) z) (* y x)) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (sqrt (/ (+ z x) y)) (pow (/ y z) -1/2) (pow (/ y z) -1/4))
20.0ms	z	@	-inf	((* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)))) (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z))) (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (* z y) (* (sqrt (/ (+ z x) y)) -1) (* (* (sqrt (/ (+ z x) y)) -1) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (* (pow (/ y z) -1/2) 2) (pow (pow (/ y z) -1/4) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (+ (* (+ y x) z) (* y x)) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (sqrt (/ (+ z x) y)) (pow (/ y z) -1/2) (pow (/ y z) -1/4))
18.0ms	z	@	0	((* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)))) (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z))) (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (* z y) (* (sqrt (/ (+ z x) y)) -1) (* (* (sqrt (/ (+ z x) y)) -1) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (* (pow (/ y z) -1/2) 2) (pow (pow (/ y z) -1/4) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (+ (* (+ y x) z) (* y x)) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (sqrt (/ (+ z x) y)) (pow (/ y z) -1/2) (pow (/ y z) -1/4))
18.0ms	y	@	0	((* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)))) (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z))) (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (* z y) (* (sqrt (/ (+ z x) y)) -1) (* (* (sqrt (/ (+ z x) y)) -1) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (* (pow (/ y z) -1/2) 2) (pow (pow (/ y z) -1/4) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (+ (* (+ y x) z) (* y x)) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (sqrt (/ (+ z x) y)) (pow (/ y z) -1/2) (pow (/ y z) -1/4))
13.0ms	z	@	inf	((* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)))) (sqrt (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z))) (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (* z y) (* (sqrt (/ (+ z x) y)) -1) (* (* (sqrt (/ (+ z x) y)) -1) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (* (pow (/ y z) -1/2) 2) (pow (pow (/ y z) -1/4) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) y) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (+ (* (+ y x) z) (* y x)) (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (sqrt (/ (+ z x) y)) (pow (/ y z) -1/2) (pow (/ y z) -1/4))

simplify218.0ms (3.3%)

Memory

80.5MiB live, 80.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1727	27394
1	6017	26145
0	8375	25164

Stop Event

1×	iter limit
1×	node limit

Counts

840 → 840

Calls

Call 1

Inputs
(* 2 (sqrt (* x y)))
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y))))
(+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(sqrt (* x y))
(+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y)))))
(+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))))))
(+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))))))
(sqrt (/ 1 (* x y)))
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(+ (sqrt (/ 1 (* x y))) (* z (+ (* -1/2 (* (sqrt (* x y)) (* z (+ (* -1 (/ (* (+ x y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y)))) (* x y))) (* 1/4 (* x (* y (pow (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) 2)))))))) (* -1/2 (* (sqrt (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))))))))
(+ (sqrt (/ 1 (* x y))) (* z (+ (* -1/2 (* (sqrt (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))))) (* z (+ (* -1/2 (* (sqrt (* x y)) (* z (+ (* 1/2 (* x (* y (* (+ (* -1 (/ (* (+ x y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y)))) (* x y))) (* 1/4 (* x (* y (pow (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) 2))))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))))))) (/ (* (pow (+ x y) 2) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y)))) (* (pow x 2) (pow y 2))))))) (* -1/2 (* (sqrt (* x y)) (+ (* -1 (/ (* (+ x y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y)))) (* x y))) (* 1/4 (* x (* y (pow (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) 2))))))))))))
(/ 1 (* x y))
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(+ (* z (- (* z (- (* -1 (/ (* z (* (pow (+ x y) 2) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))))) (* (pow x 2) (pow y 2)))) (* -1 (/ (* (+ x y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y)))) (* x y))))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))))) (/ 1 (* x y)))
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(+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))))))
(* x y)
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(* -1 (sqrt (/ x y)))
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(* 2 (sqrt (* x y)))
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(+ (* 2 (sqrt (* x y))) (* z (+ (* y (+ (sqrt (/ 1 (* x y))) (sqrt (/ x (pow y 3))))) (* z (+ (* y (* z (+ (* 1/8 (sqrt (/ 1 (* (pow x 5) y)))) (* 3/8 (sqrt (/ 1 (* (pow x 3) (pow y 3)))))))) (* y (+ (* -1/2 (sqrt (/ 1 (* x (pow y 3))))) (* -1/4 (sqrt (/ 1 (* (pow x 3) y)))))))))))
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(+ (* 2 (sqrt (/ x y))) (* z (+ (sqrt (/ 1 (* x y))) (+ (sqrt (/ x (pow y 3))) (* z (+ (* -1/2 (sqrt (/ 1 (* x (pow y 3))))) (+ (* -1/4 (sqrt (/ 1 (* (pow x 3) y)))) (* z (+ (* 1/8 (sqrt (/ 1 (* (pow x 5) y)))) (* 3/8 (sqrt (/ 1 (* (pow x 3) (pow y 3))))))))))))))
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(exp (* 1/4 (+ (log z) (log (/ 1 y)))))
(exp (* 1/4 (+ (log z) (log (/ 1 y)))))
(exp (* 1/4 (+ (log z) (log (/ 1 y)))))
(exp (* 1/4 (+ (log z) (log (/ 1 y)))))
(* 2 (sqrt (* z (+ x y))))
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(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(sqrt (* z (+ x y)))
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(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))))
(sqrt (/ 1 (* z (+ x y))))
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(+ (sqrt (/ 1 (* z (+ x y)))) (+ (* -1/2 (* (sqrt (/ (+ x y) (pow z 7))) (+ (* 1/4 (/ (* (pow x 2) (* (pow y 2) z)) (pow (+ x y) 3))) (/ (* (pow x 3) (pow y 3)) (pow (+ x y) 4))))) (+ (* -1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (pow (+ x y) 3)))))) (* 1/2 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 5)))))))))
(/ 1 (* z (+ x y)))
(/ (+ (* -1 (/ (* x y) (* z (pow (+ x y) 2)))) (/ 1 (+ x y))) z)
(/ (- (+ (/ 1 (+ x y)) (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ x y) 3)))) (/ (* x y) (* z (pow (+ x y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow y 3)) (* (pow z 3) (pow (+ x y) 4)))) (/ 1 (+ x y))) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (* (pow z 2) (pow (+ x y) 3)))) (/ (* x y) (* z (pow (+ x y) 2))))) z)
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(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))
(sqrt (* z (+ x y)))
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(* -1 (* x (* y (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* y (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))) (/ (* y (+ (* 1/2 (* (sqrt (/ x (pow y 3))) (pow z 2))) (* (sqrt (/ x y)) z))) (pow x 2)))))
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 5) y))) (pow z 3))) (+ (* y (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))) (/ (* y (+ (* 1/2 (* (sqrt (/ x (pow y 3))) (pow z 2))) (* (sqrt (/ x y)) z))) (pow x 2))))))
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(* -1 (* x (* y (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* y (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))) (/ (* y (+ (* 1/2 (* (sqrt (/ x (pow y 3))) (pow z 2))) (* (sqrt (/ x y)) z))) (pow x 2)))))
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 5) y))) (pow z 3))) (+ (* y (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))) (/ (* y (+ (* 1/2 (* (sqrt (/ x (pow y 3))) (pow z 2))) (* (sqrt (/ x y)) z))) (pow x 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (* y (+ (* -1/4 (* (sqrt (/ (pow x 3) y)) (/ (pow z 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (* x (pow y 3))) (* z (+ (* -1/4 (/ (* x (pow z 2)) (* (pow y 3) (pow (sqrt -1) 2)))) (/ (pow z 3) (pow y 3)))))))) x)) (* 1/2 (* (sqrt (/ x y)) (pow z 3)))) (pow x 3))) (+ (* y (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))) (/ (* y (+ (* 1/2 (* (sqrt (/ x (pow y 3))) (pow z 2))) (* (sqrt (/ x y)) z))) (pow x 2))))))
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(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 5) y))) (pow z 3))) (+ (* y (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))) (/ (* y (+ (* 1/2 (* (sqrt (/ x (pow y 3))) (pow z 2))) (* (sqrt (/ x y)) z))) (pow x 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (* y (+ (* -1/4 (* (sqrt (/ (pow x 3) y)) (/ (pow z 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (* x (pow y 3))) (* z (+ (* -1/4 (/ (* x (pow z 2)) (* (pow y 3) (pow (sqrt -1) 2)))) (/ (pow z 3) (pow y 3)))))))) x)) (* 1/2 (* (sqrt (/ x y)) (pow z 3)))) (pow x 3))) (+ (* y (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))) (/ (* y (+ (* 1/2 (* (sqrt (/ x (pow y 3))) (pow z 2))) (* (sqrt (/ x y)) z))) (pow x 2))))))
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(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 5) (pow y 3)))) (pow z 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) y))) z)))))))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ (pow x 3) y)) (/ (pow z 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (* x (pow y 3))) (* z (+ (* -1/4 (/ (* x (pow z 2)) (* (pow y 3) (pow (sqrt -1) 2)))) (/ (pow z 3) (pow y 3))))))) x)) (* 1/2 (* (sqrt (/ x (pow y 3))) (pow z 3)))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) y))) z)))))))
(* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2)))
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(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (/ (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))))
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Outputs
(* 2 (sqrt (* x y)))
(.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64))
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y))))
(fma.f64 (.f64 (+.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))) (.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64)))
(+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) z) (.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))))) z (.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64)))
(+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y)))))
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(sqrt (* x y))
(sqrt.f64 (*.f64 y x))
(+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y)))))
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(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (neg.f64 z) y) x))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (neg.f64 z) y))))) (neg.f64 x))
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 z z) (.f64 y y)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (-.f64 (neg.f64 z) y) #s(literal 3 binary64))))) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (neg.f64 z) y) x))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (neg.f64 z) y)))))) (neg.f64 x))
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 z z) (.f64 y y)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (-.f64 (neg.f64 z) y) #s(literal 3 binary64))))) #s(literal -1/4 binary64) (fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 (-.f64 (neg.f64 z) y) #s(literal 5 binary64))))) #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (neg.f64 z) y) x))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (neg.f64 z) y))))))) (neg.f64 x))
(* -1 (* x (* y (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))))))
(.f64 (.f64 (neg.f64 y) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x)))) (neg.f64 z) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))) #s(literal 2 binary64))))
(* -1 (* x (+ (* y (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))) (/ (* y (+ (* 1/2 (* (sqrt (/ x (pow y 3))) (pow z 2))) (* (sqrt (/ x y)) z))) (pow x 2)))))
(.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 z z) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 x y)) z)) x) (/.f64 y x) (.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x)))) (neg.f64 z) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) #s(literal 2 binary64))) y)) (neg.f64 x))
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 5) y))) (pow z 3))) (+ (* y (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))) (/ (* y (+ (* 1/2 (* (sqrt (/ x (pow y 3))) (pow z 2))) (* (sqrt (/ x y)) z))) (pow x 2))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) y)))) (pow.f64 z #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 z z) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 x y)) z)) x) (/.f64 y x) (.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x)))) (neg.f64 z) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) #s(literal 2 binary64))) y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (* y (+ (* -1/4 (* (sqrt (/ (pow x 3) y)) (/ (pow z 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (* x (pow y 3))) (* z (+ (* -1/4 (/ (* x (pow z 2)) (* (pow y 3) (pow (sqrt -1) 2)))) (/ (pow z 3) (pow y 3)))))))) x)) (* 1/2 (* (sqrt (/ x y)) (pow z 3)))) (pow x 3))) (+ (* y (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))) (/ (* y (+ (* 1/2 (* (sqrt (/ x (pow y 3))) (pow z 2))) (* (sqrt (/ x y)) z))) (pow x 2))))))
(.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 z z) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 x y)) z)) x) (/.f64 y x) (.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x)))) (neg.f64 z) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) #s(literal 2 binary64))) y)) (/.f64 (fma.f64 (neg.f64 y) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) (/.f64 (.f64 z z) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 z z) x) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) z))) x) (.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x)))) (neg.f64 z) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) #s(literal 2 binary64))) (neg.f64 x))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) y))) z))))))
(.f64 (fma.f64 (neg.f64 (neg.f64 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (.f64 z z) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) z)))) (neg.f64 x))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 5) (pow y 3)))) (pow z 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) y))) z)))))))
(.f64 (fma.f64 (neg.f64 (neg.f64 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 z #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (.f64 z z) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y))) z))))) (neg.f64 x))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ (pow x 3) y)) (/ (pow z 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (* x (pow y 3))) (* z (+ (* -1/4 (/ (* x (pow z 2)) (* (pow y 3) (pow (sqrt -1) 2)))) (/ (pow z 3) (pow y 3))))))) x)) (* 1/2 (* (sqrt (/ x (pow y 3))) (pow z 3)))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) y))) z)))))))
(.f64 (fma.f64 (neg.f64 (neg.f64 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x))) (-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (.f64 z z) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y))) z))) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) (/.f64 (.f64 z z) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x))) (.f64 (fma.f64 (/.f64 (.f64 (*.f64 z z) x) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) z))) x)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(*.f64 (-.f64 (neg.f64 z) y) (neg.f64 x))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
(*.f64 (neg.f64 (+.f64 (fma.f64 y (/.f64 z x) z) y)) (neg.f64 x))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
(*.f64 (neg.f64 (+.f64 (fma.f64 y (/.f64 z x) z) y)) (neg.f64 x))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x))))))
(*.f64 (neg.f64 (+.f64 (fma.f64 y (/.f64 z x) z) y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x)))) (neg.f64 z) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) #s(literal 2 binary64))) (neg.f64 x))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) y))) z))))))
(.f64 (fma.f64 (neg.f64 (neg.f64 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (.f64 z z) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) z)))) (neg.f64 x))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 5) (pow y 3)))) (pow z 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) y))) z)))))))
(.f64 (fma.f64 (neg.f64 (neg.f64 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 z #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (.f64 z z) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y))) z))))) (neg.f64 x))
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow y 3)))) (* z (pow (sqrt -1) 2)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ (pow x 3) y)) (/ (pow z 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (* x (pow y 3))) (* z (+ (* -1/4 (/ (* x (pow z 2)) (* (pow y 3) (pow (sqrt -1) 2)))) (/ (pow z 3) (pow y 3))))))) x)) (* 1/2 (* (sqrt (/ x (pow y 3))) (pow z 3)))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow z 2))) (+ (* 2 (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) y))) z)))))))
(.f64 (fma.f64 (neg.f64 (neg.f64 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x))) (-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (.f64 z z) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)))) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y))) z))) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) (/.f64 (.f64 z z) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x))) (.f64 (fma.f64 (/.f64 (.f64 (*.f64 z z) x) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) z))) x)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x))
(* -1 (* (sqrt (/ x y)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)))) z (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y x))))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (/ (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) y)))) (/.f64 (.f64 z z) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)))) z (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) y))) (/ (pow z 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) y))) (/ (pow z 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) y))) z)) (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) y)))) (/.f64 (.f64 z z) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) y)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)))) z (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))))) (neg.f64 x))

rewrite140.0ms (2.1%)

Memory

53.0MiB live, 53.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	526
0	89	502
1	322	446
2	2196	446
0	8110	437

Stop Event

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

Counts

25 → 410

Calls

Call 1

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

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eval173.0ms (2.6%)

Memory: 108.9MiB live, 108.9MiB allocated
Compiler: Compiled 38 070 to 4 524 computations (88.1% saved)

prune88.0ms (1.3%)

Memory

75.1MiB live, 75.1MiB allocated

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	1 238	12	1 250
Fresh	3	14	17
Picked	2	3	5
Done	0	4	4
Total	1 243	33	1 276

Accuracy

99.5%

Counts

1 276 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.7%	(.f64 #s(literal 2 binary64) (pow.f64 #s(approx (pow (+ ( (+ y x) z) (* y x)) 1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64)))
	42.7%	(.f64 #s(literal 2 binary64) (pow.f64 #s(approx (pow (+ ( (+ y x) z) (* y x)) 1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (-.f64 (neg.f64 z) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) #s(literal 2 binary64)))
	43.0%	(.f64 #s(literal 2 binary64) (pow.f64 #s(approx (pow (+ ( (+ y x) z) (* y x)) 1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 z) (log.f64 (+.f64 y x))))) #s(literal 2 binary64)))
	31.5%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 z y))))))
	34.5%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y x) z) (* y x)) (*.f64 y x))))))
	33.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(approx (/ ( (* (+ z y) (- y z)) x) (- y z)) (.f64 z x)) (.f64 y z))))
	33.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 (+.f64 y x) z))))
✓	32.3%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z y))))
✓	3.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z x))))
	23.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 #s(approx (* (* (+ z y) (- z y)) x) (.f64 (neg.f64 x) (.f64 y y))) (-.f64 z y)))))
	25.4%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (/.f64 x (-.f64 z y)) (.f64 (-.f64 z y) (+.f64 y z))))))
✓	36.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
✓	34.8%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	39.7%	#s(approx (* 2 (pow (pow (+ (* (+ y x) z) (* y x)) 1/4) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x))) (.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
	27.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 z x))) (.f64 #s(literal 4 binary64) (/.f64 (+.f64 z x) y))) y) (fma.f64 (/.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 z x))) (.f64 z x) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y))))))
	47.5%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (/.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y))) y))
	43.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) y))
✓	43.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (pow.f64 (pow.f64 (/.f64 y z) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) y))
✓	43.5%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) y))
	41.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (/.f64 y z) #s(literal -1/4 binary64)))) #s(literal 2 binary64))) y))
	43.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y z))) #s(literal 2 binary64))) y))
	44.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 (pow.f64 (/.f64 y (+.f64 z x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) y))
	27.9%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 (pow.f64 (*.f64 (/.f64 (+.f64 z x) y) (/.f64 (+.f64 z x) y)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) y))
	47.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 z)) #s(literal 2 binary64))) y))
	18.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 z x) (-.f64 z x)) (pow.f64 y #s(literal -1 binary64)))) (sqrt.f64 (-.f64 z x))) #s(literal -1 binary64)) #s(literal 2 binary64))) y))
	48.7%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 (+.f64 z x))) (sqrt.f64 (neg.f64 y))) #s(literal -1 binary64)) #s(literal 2 binary64))) y))
	44.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (+.f64 z x)))) #s(literal -1 binary64)) #s(literal 2 binary64))) y))
	48.7%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 (*.f64 (sqrt.f64 (neg.f64 (+.f64 z x))) (sqrt.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64))) y))
✓	43.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y))
	40.9%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 y z) #s(literal -1/4 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) y))
	40.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 z y)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) y))
	44.1%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* (sqrt (/ (+ z x) y)) -1) 2) (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y))))) y))
	19.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (/ (sqrt (+ z x)) (sqrt y)) 2)) y) (/.f64 (fma.f64 (.f64 x z) (sqrt.f64 (/.f64 y (+.f64 z x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x))))) y)))

Compiler

Compiled 1 512 to 850 computations (43.8% saved)

regimes108.0ms (1.6%)

Memory

42.2MiB live, 42.2MiB allocated

Counts

61 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

17.0ms	z
17.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
17.0ms	x
17.0ms	y
17.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))

Results

Accuracy	Segments	Branch
91.4%	3	`x`
96.1%	2	`y`
93.6%	3	`z`
82.3%	3	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
82.3%	3	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
82.3%	3	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`

Compiler

Compiled 40 to 37 computations (7.5% saved)

regimes11.0ms (0.2%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
95.5%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
95.3%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

13 → 4

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
95.3%	4	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes28.0ms (0.4%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

4.0ms	z
4.0ms	x
4.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
4.0ms	y
4.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))

Results

Accuracy	Segments	Branch
55.8%	3	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
55.8%	3	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
55.8%	3	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
73.8%	3	`x`
71.5%	2	`z`
80.1%	3	`y`

Compiler

Compiled 40 to 37 computations (7.5% saved)

regimes13.0ms (0.2%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

4.0ms	x
4.0ms	y
4.0ms	z

Results

Accuracy	Segments	Branch
63.7%	2	`z`
64.0%	2	`x`
66.1%	2	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes4.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
65.4%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes3.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
64.2%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.2%)

Memory

9.4MiB live, 9.4MiB allocated

Accuracy

Total -20.3b remaining (-48.7%)

Threshold costs -20.3b (-48.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
34.8%	1	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
34.8%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
34.8%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
34.8%	1	`z`
34.8%	1	`x`
34.8%	1	`y`

Compiler

Compiled 40 to 37 computations (7.5% saved)

bsearch46.0ms (0.7%)

Memory

13.5MiB live, 13.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	-1.988670178857375e-269	3.475840928251523e-295

Samples

14.0ms	192×	0	valid
14.0ms	178×	0	invalid

Compiler

Compiled 353 to 365 computations (-3.4% saved)

Precisions

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

ival-mult: 9.0ms (54.2% of total)

ival-add: 4.0ms (24.1% of total)

ival-sqrt: 3.0ms (18.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch74.0ms (1.1%)

Memory

21.7MiB live, 21.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	-1.988670178857375e-269	3.475840928251523e-295
33.0ms	-1.6916559594599858e+49	-3.3501874289521294e+42

Samples

23.0ms	304×	0	invalid
23.0ms	304×	0	valid

Compiler

Compiled 437 to 479 computations (-9.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 15.0ms (56% of total)

ival-add: 6.0ms (22.4% of total)

ival-sqrt: 4.0ms (14.9% of total)

ival-true: 1.0ms (3.7% of total)

exact: 0.0ms (0% of total)

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

bsearch30.0ms (0.5%)

Memory

9.1MiB live, 9.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	7.144528991891089e+34	4.19760567895524e+37
1.0ms	-1.6916559594599858e+49	-3.3501874289521294e+42

Samples

10.0ms	128×	0	valid
8.0ms	107×	0	invalid

Compiler

Compiled 434 to 417 computations (3.9% saved)

Precisions

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

ival-mult: 6.0ms (57.1% of total)

ival-add: 2.0ms (19% of total)

ival-sqrt: 2.0ms (19% of total)

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

exact: 0.0ms (0% of total)

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

bsearch40.0ms (0.6%)

Memory

12.2MiB live, 12.2MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.144528991891089e+34	4.19760567895524e+37
33.0ms	-9.689506424188473e-250	-1.988670178857375e-269
1.0ms	-1.6916559594599858e+49	-3.3501874289521294e+42

Samples

13.0ms	176×	0	valid
10.0ms	125×	0	invalid

Compiler

Compiled 585 to 622 computations (-6.3% saved)

Precisions

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

ival-mult: 8.0ms (59.2% of total)

ival-add: 3.0ms (22.2% of total)

ival-sqrt: 2.0ms (14.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-9.689506424188473e-250	-1.988670178857375e-269
1.0ms	-1.6916559594599858e+49	-3.3501874289521294e+42

Compiler

Compiled 395 to 435 computations (-10.1% saved)

bsearch19.0ms (0.3%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-8.771827164388812e-249	-9.689506424188473e-250

Samples

7.0ms	96×	0	valid
4.0ms	52×	0	invalid

Compiler

Compiled 125 to 137 computations (-9.6% saved)

Precisions

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

ival-mult: 4.0ms (58.4% of total)

ival-add: 1.0ms (14.6% of total)

ival-sqrt: 1.0ms (14.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch18.0ms (0.3%)

Memory

5.4MiB live, 5.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-8.771827164388812e-249	-9.689506424188473e-250

Samples

6.0ms	80×	0	valid
5.0ms	68×	0	invalid

Compiler

Compiled 113 to 131 computations (-15.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 4.0ms (61.7% of total)

ival-add: 1.0ms (15.4% of total)

ival-sqrt: 1.0ms (15.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-8.771827164388812e-249	-9.689506424188473e-250

Compiler

Compiled 101 to 125 computations (-23.8% saved)

simplify37.0ms (0.6%)

Memory

20.2MiB live, 20.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	116	772
1	152	771
2	163	771
3	179	771
4	193	771
5	202	771
6	207	771
7	208	771

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 (+.f64 z x))) (sqrt.f64 (neg.f64 y))) #s(literal -1 binary64)) #s(literal 2 binary64))) y)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (/.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y))) y)))
(if (<=.f64 y #s(literal -3399999999999999750280910337709527728652288 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* (sqrt (/ (+ z x) y)) -1) 2) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y))))) y)) (if (<=.f64 y #s(literal 7823560522920799/23010472126237643618935106442099516590310105330461524130999050388189782503104123280986685097268164610703374576623538349780325090408245327679084471121852687920354290358382782115366684108959500047289994617866880738411283287339835248828660878149225886356908865367627046174713247480125403687018925610191900689563648 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)))) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (/.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y))) y))))
(if (<=.f64 y #s(literal -3399999999999999750280910337709527728652288 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* (sqrt (/ (+ z x) y)) -1) 2) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y))))) y)) (if (<=.f64 y #s(literal 1799999999999999869753613647685353472 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y))))
(if (<=.f64 y #s(literal -3399999999999999750280910337709527728652288 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* (sqrt (/ (+ z x) y)) -1) 2) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y))))) y)) (if (<=.f64 y #s(literal -1487016908477783/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)))) (if (<=.f64 y #s(literal 1799999999999999869753613647685353472 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(approx (+ (* x y) (* x z)) (.f64 z x)) (.f64 y z)))) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y)))))
(if (<=.f64 y #s(literal -3399999999999999750280910337709527728652288 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* (sqrt (/ (+ z x) y)) -1) 2) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y))))) y)) (if (<=.f64 y #s(literal -1487016908477783/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))))
(if (<=.f64 y #s(literal -7899912117202025/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))))
(if (<=.f64 y #s(literal -4332859962240907/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))))
(if (<=.f64 y #s(literal -7899912117202025/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))

Outputs
(if (<=.f64 y #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 (+.f64 z x))) (sqrt.f64 (neg.f64 y))) #s(literal -1 binary64)) #s(literal 2 binary64))) y)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (/.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y))) y)))
(if (<=.f64 y #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (neg.f64 (+.f64 x z))) (sqrt.f64 (neg.f64 y))))) y)) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (/.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y))) y)))
(if (<=.f64 y #s(literal -3399999999999999750280910337709527728652288 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* (sqrt (/ (+ z x) y)) -1) 2) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y))))) y)) (if (<=.f64 y #s(literal 7823560522920799/23010472126237643618935106442099516590310105330461524130999050388189782503104123280986685097268164610703374576623538349780325090408245327679084471121852687920354290358382782115366684108959500047289994617866880738411283287339835248828660878149225886356908865367627046174713247480125403687018925610191900689563648 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)))) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (/.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y))) y))))
(if (<=.f64 y #s(literal -3399999999999999750280910337709527728652288 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* (sqrt (/ (+ z x) y)) -1) 2) (.f64 (sqrt.f64 (/.f64 x y)) #s(literal -2 binary64)))) y)) (if (<=.f64 y #s(literal 7823560522920799/23010472126237643618935106442099516590310105330461524130999050388189782503104123280986685097268164610703374576623538349780325090408245327679084471121852687920354290358382782115366684108959500047289994617866880738411283287339835248828660878149225886356908865367627046174713247480125403687018925610191900689563648 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x))) #s(literal 2 binary64)) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (/.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y))) y))))
(if (<=.f64 y #s(literal -3399999999999999750280910337709527728652288 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* (sqrt (/ (+ z x) y)) -1) 2) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y))))) y)) (if (<=.f64 y #s(literal 1799999999999999869753613647685353472 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z)))) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y))))
(if (<=.f64 y #s(literal -3399999999999999750280910337709527728652288 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* (sqrt (/ (+ z x) y)) -1) 2) (.f64 (sqrt.f64 (/.f64 x y)) #s(literal -2 binary64)))) y)) (if (<=.f64 y #s(literal 1799999999999999869753613647685353472 binary64)) (.f64 (sqrt.f64 (+.f64 (.f64 z y) (+.f64 (.f64 x z) (.f64 x y)))) #s(literal 2 binary64)) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y))))
(if (<=.f64 y #s(literal -3399999999999999750280910337709527728652288 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* (sqrt (/ (+ z x) y)) -1) 2) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y))))) y)) (if (<=.f64 y #s(literal -1487016908477783/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)))) (if (<=.f64 y #s(literal 1799999999999999869753613647685353472 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(approx (+ (* x y) (* x z)) (.f64 z x)) (.f64 y z)))) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y)))))
(if (<=.f64 y #s(literal -3399999999999999750280910337709527728652288 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* (sqrt (/ (+ z x) y)) -1) 2) (.f64 (sqrt.f64 (/.f64 x y)) #s(literal -2 binary64)))) y)) (if (<=.f64 y #s(literal -1487016908477783/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x))) #s(literal 2 binary64)) (if (<=.f64 y #s(literal 1799999999999999869753613647685353472 binary64)) (.f64 (sqrt.f64 (+.f64 #s(approx (+ (* x y) (* x z)) (.f64 x z)) (.f64 z y))) #s(literal 2 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) (*.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))) y)))))
(if (<=.f64 y #s(literal -3399999999999999750280910337709527728652288 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* (sqrt (/ (+ z x) y)) -1) 2) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 x y))))) y)) (if (<=.f64 y #s(literal -1487016908477783/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))))
(if (<=.f64 y #s(literal -3399999999999999750280910337709527728652288 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ z x)) (pow y 3))) (* z x)) (* (sqrt (/ (+ z x) y)) 2)) #s(approx (* (* (sqrt (/ (+ z x) y)) -1) 2) (.f64 (sqrt.f64 (/.f64 x y)) #s(literal -2 binary64)))) y)) (if (<=.f64 y #s(literal -1487016908477783/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x))) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 x y) z))) #s(literal 2 binary64))))
(if (<=.f64 y #s(literal -7899912117202025/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))))
(if (<=.f64 y #s(literal -7899912117202025/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (+.f64 z y) x))) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -4332859962240907/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))))
(if (<=.f64 y #s(literal -4332859962240907/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 x y))) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 x y) z))) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -7899912117202025/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 y x)))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))))
(if (<=.f64 y #s(literal -7899912117202025/8061134813471454564702450331367746071149403778627342561766978592325956765086744071570087522699847227396765060321916636335485039665263146015175460486800225477728068298324662539195732386420081192825687147647265448061340763744378078290380812053940375922997109693874176 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 x y))) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y))) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
(.f64 (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 x y))) #s(literal 2 binary64))

soundness623.0ms (9.4%)

Memory

19.2MiB live, 19.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	69	469
0	104	424
1	354	349
2	2417	349
0	9342	349
0	1528	22519
1	5311	21610
0	8439	20767
0	1727	27394
1	6017	26145
0	8375	25164
0	64	526
0	89	502
1	322	446
2	2196	446
0	8110	437
0	501	3429
1	1684	3363
2	6236	3318
0	8106	3177

Stop Event

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

Compiler

Compiled 394 to 282 computations (28.4% saved)

preprocess110.0ms (1.6%)

Memory: 69.3MiB live, 69.3MiB allocated
Compiler: Compiled 822 to 358 computations (56.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze185.0ms (2.8%)

sample1.1s (17.2%)

explain189.0ms (2.9%)

preprocess49.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize31.0ms (0.5%)

series29.0ms (0.4%)

simplify152.0ms (2.3%)

rewrite160.0ms (2.4%)

eval54.0ms (0.8%)

prune29.0ms (0.4%)

simplify157.0ms (2.4%)

localize125.0ms (1.9%)

series104.0ms (1.6%)

simplify214.0ms (3.2%)

rewrite174.0ms (2.6%)

eval207.0ms (3.1%)

prune79.0ms (1.2%)

simplify136.0ms (2%)

localize148.0ms (2.2%)

series264.0ms (4%)

simplify232.0ms (3.5%)

rewrite172.0ms (2.6%)

eval241.0ms (3.6%)

prune89.0ms (1.3%)

simplify120.0ms (1.8%)

localize141.0ms (2.1%)

series194.0ms (2.9%)

simplify218.0ms (3.3%)

rewrite140.0ms (2.1%)

eval173.0ms (2.6%)

prune88.0ms (1.3%)

regimes108.0ms (1.6%)

regimes11.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes28.0ms (0.4%)

regimes13.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes13.0ms (0.2%)

bsearch46.0ms (0.7%)

bsearch74.0ms (1.1%)

bsearch30.0ms (0.5%)

bsearch40.0ms (0.6%)

bsearch3.0ms (0%)

bsearch19.0ms (0.3%)

bsearch18.0ms (0.3%)

bsearch1.0ms (0%)

simplify37.0ms (0.6%)

soundness623.0ms (9.4%)

preprocess110.0ms (1.6%)

end0.0ms (0%)

Profiling