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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze212.0ms (2.1%)

Memory

-0.8MiB live, 401.5MiB 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)

sample1.7s (16.3%)

Memory

40.6MiB live, 2 003.6MiB allocated

Samples

730.0ms	8 256×	0	valid
409.0ms	4 547×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 771.0ms

ival-mult: 455.0ms (59% of total)

ival-add: 157.0ms (20.4% of total)

ival-sqrt: 133.0ms (17.3% of total)

ival-true: 10.0ms (1.3% of total)

exact: 9.0ms (1.2% of total)

ival-assert: 6.0ms (0.8% of total)

Bogosity

explain239.0ms (2.3%)

Memory

-9.9MiB live, 187.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
78	-	2	(7.054952852453602e-132 1.4541816872640514e-180 -3.820812242724376e-275)	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
8	-	0	-	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
7	-	0	-	`(+.f64 (.f64 x y) (.f64 x z))`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x z)`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y z)`
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	68	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	overflow	68
↳	`(*.f64 y z)`	overflow	31
↳	`(+.f64 (.f64 x y) (.f64 x z))`	overflow	50
↳	`(*.f64 x z)`	overflow	31
↳	`(*.f64 x y)`	overflow	31
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	nan-rescue	8	0
↳	`(+.f64 (.f64 x y) (.f64 x z))`	overflow	50
↳	`(*.f64 x z)`	overflow	31
↳	`(*.f64 x y)`	overflow	31
↳	`(*.f64 y z)`	overflow	31
`sqrt.f64`	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`	uflow-rescue	8	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`	underflow	8
↳	`(*.f64 y z)`	underflow	36
↳	`(+.f64 (.f64 x y) (.f64 x z))`	underflow	10
↳	`(*.f64 x z)`	underflow	29
↳	`(*.f64 x y)`	underflow	33
`+.f64`	`(+.f64 (.f64 x y) (.f64 x z))`	nan-rescue	7	0
↳	`(*.f64 x y)`	overflow	31
↳	`(*.f64 x z)`	overflow	31

Confusion

	Predicted +	Predicted -
+	76	2
-	0	178

Precision

1.0

Recall

0.9743589743589743

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	76	0	2
-	0	0	178

Precision?

1.0

Recall?

0.9743589743589743

Freqs

test

number	freq
0	180
1	66
2	5
3	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

78.0ms

512×

valid

Compiler

Compiled 189 to 48 computations (74.6% saved)

Precisions

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

ival-sqrt: 41.0ms (68.1% of total)

ival-mult: 13.0ms (21.6% of total)

ival-add: 5.0ms (8.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess57.0ms (0.6%)

Memory

3.6MiB live, 41.2MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.4%	(.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%)

Memory

4.6MiB live, 4.6MiB 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)

localize41.0ms (0.4%)

Memory

-13.0MiB live, 37.7MiB 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	1.2031250000000002	(+.f64 (.f64 x y) (.f64 x z))
accuracy	1.2070312500000002	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
accuracy	18.165411573688825	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))

Samples

33.0ms

256×

valid

Compiler

Compiled 116 to 24 computations (79.3% saved)

Precisions

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

ival-mult: 6.0ms (53% of total)

ival-add: 3.0ms (26.5% of total)

ival-sqrt: 2.0ms (17.7% of total)

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

exact: 0.0ms (0% of total)

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

series43.0ms (0.4%)

Memory

-1.7MiB live, 37.0MiB 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>) () ())) ())
#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 (* 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>) () ())) ())
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#s(alt (+ (sqrt (* y z)) (* 1/2 (* (* x (+ y z)) (sqrt (/ 1 (* 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 (+ (* -1/8 (* (* 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>) () ())) ())
#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 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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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
18.0ms	x	@	0	((+ (* 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	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))))
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))))
2.0ms	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))))

simplify326.0ms (3.2%)

Memory

5.8MiB live, 128.7MiB 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)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z))))))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z))))))
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Outputs
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(*.f64 (+.f64 z y) x)
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rewrite253.0ms (2.5%)

Memory

18.5MiB live, 175.6MiB 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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eval100.0ms (1%)

Memory: -8.7MiB live, 99.3MiB allocated
Compiler: Compiled 11 150 to 1 656 computations (85.1% saved)

prune50.0ms (0.5%)

Memory

2.9MiB live, 53.7MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	354	18	372
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	355	18	373

Accuracy

83.6%

Counts

373 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.2%	(.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)))
	42.3%	(.f64 #s(literal 2 binary64) (pow.f64 (.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 1/4 binary64)))
	70.8%	(.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))))))
	51.1%	(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (-.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z (-.f64 x y))) (*.f64 y x))))
	44.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (.f64 (.f64 x x) y) (/.f64 y (.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))))
▶	44.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z)) (.f64 y z))))
	53.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x))))
	58.5%	(.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))))
▶	39.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
	35.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))
	34.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z y))))
	3.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 z x))))
▶	38.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	66.3%	(.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))))
	38.6%	#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))))
	31.3%	#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))
▶	36.4%	#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 592 to 450 computations (24% saved)

simplify255.0ms (2.5%)

Memory

-15.4MiB live, 213.4MiB 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 y x)) (pow.f64 z #s(literal 3 binary64))))
cost-diff	0	(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)))
cost-diff	0	(.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)
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 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))
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	46	417
0	77	374
1	121	359
2	201	355
3	426	355
4	827	355
5	2041	355
6	4749	355
0	8731	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 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))
(.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)
(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)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 y x))
#s(literal 1 binary64)
(+.f64 y x)
y
x
(pow.f64 z #s(literal 3 binary64))
z
#s(literal 3 binary64)
(*.f64 y x)
(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (+.f64 y x) z))
(/.f64 (+.f64 y x) z)
#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 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) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) (.f64 x y) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))) 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)
(.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) (.f64 x y) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))) z)
(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)))
(fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) (.f64 x y) (.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))
(/.f64 #s(literal 1 binary64) (+.f64 y x))
(/.f64 #s(literal 1 binary64) (+.f64 x y))
#s(literal 1 binary64)
(+.f64 y x)
(+.f64 x y)
y
x
(pow.f64 z #s(literal 3 binary64))
z
#s(literal 3 binary64)
(*.f64 y x)
(*.f64 x y)
(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (+.f64 y x) z))
(sqrt.f64 (/.f64 (+.f64 x y) z))
(/.f64 (+.f64 y x) z)
(/.f64 (+.f64 x y) z)
#s(literal 2 binary64)

localize233.0ms (2.3%)

Memory

-2.9MiB live, 166.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.032049877913509	(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)))
accuracy	12.110288253026775	(sqrt.f64 (/.f64 (+.f64 y x) z))
accuracy	16.55515937093041	#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))
accuracy	17.766276767824003	(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64))))
accuracy	0.8085937500000001	(+.f64 (/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z)) (*.f64 y z))
accuracy	9.912145583106804	(/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z))
accuracy	10.535044200145952	(.f64 (.f64 (+.f64 z y) (-.f64 y z)) x)
accuracy	13.887922920165906	(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	13.887922920165906	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))
accuracy	27.97290838975892	#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	13.887922920165906	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))
accuracy	29.463852768015492	#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	0.3366012695368841	(pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (*.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy	0.7499917428166807	(fma.f64 (+.f64 y x) z (*.f64 y x))
accuracy	14.100881898952139	(pow.f64 (fma.f64 (+.f64 y x) z (*.f64 y x)) #s(literal 1/4 binary64))

Samples

142.0ms	190×	0	valid
37.0ms	66×	0	invalid

Compiler

Compiled 707 to 81 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult: 38.0ms (36.6% of total)

ival-div: 23.0ms (22.1% of total)

ival-pow: 21.0ms (20.2% of total)

ival-add: 9.0ms (8.7% of total)

ival-sqrt: 7.0ms (6.7% of total)

ival-pow2: 3.0ms (2.9% of total)

ival-sub: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

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

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

series187.0ms (1.8%)

Memory

0.6MiB live, 121.1MiB 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 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)) (patch #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)) #<representation binary64>) () ())
#s(alt (.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) (patch (.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) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (patch (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #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 y x) z)) (patch (sqrt.f64 (/.f64 (+.f64 y x) z)) #<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>) () ())) ())
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Calls

9 calls:

Time	Variable		Point	Expression
57.0ms	y	@	0	((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 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* (* (+ z y) (- y z)) x) (sqrt (/ (+ y x) z)))
28.0ms	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 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* (* (+ z y) (- y z)) x) (sqrt (/ (+ y x) z)))
12.0ms	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 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* (* (+ z y) (- y z)) x) (sqrt (/ (+ y x) z)))
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 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* (* (+ z y) (- y z)) x) (sqrt (/ (+ y x) z)))
8.0ms	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 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* (* (+ z y) (- y z)) x) (sqrt (/ (+ y x) z)))

simplify320.0ms (3.1%)

Memory

32.8MiB live, 250.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1526	22523
1	5303	21613
0	8415	20770

Stop Event

1×	iter limit
1×	node limit

Counts

780 → 780

Calls

Call 1

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

rewrite321.0ms (3.1%)

Memory

-15.5MiB live, 268.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	334
0	77	283
1	272	264
2	1979	264
0	8608	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 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))
(.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)
(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)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64))))
(.f64 (.f64 (+.f64 z y) (-.f64 y z)) x)
(sqrt.f64 (/.f64 (+.f64 y x) z))

Outputs
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eval296.0ms (2.9%)

Memory: 58.2MiB live, 548.5MiB allocated
Compiler: Compiled 46 608 to 4 942 computations (89.4% saved)

prune151.0ms (1.5%)

Memory

-70.3MiB live, 165.8MiB allocated

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	1 540	16	1 556
Fresh	10	3	13
Picked	3	2	5
Done	0	0	0
Total	1 553	21	1 574

Accuracy

97.8%

Counts

1 574 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.1%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	45.2%	(.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)))
▶	70.8%	(.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))))))
	44.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (.f64 (.f64 x x) y) (/.f64 y (.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))))
	35.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 (+.f64 y x) z))))
	34.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z y))))
▶	3.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z x))))
	26.5%	(.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)))))
	29.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (/.f64 (.f64 (-.f64 y z) (+.f64 z y)) (*.f64 (-.f64 y z) (+.f64 z y))) (/.f64 x (pow.f64 (+.f64 z y) #s(literal -1 binary64)))))))
✓	39.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
✓	38.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	26.5%	(.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)))))
	31.3%	#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 y #s(literal 3 binary64))) (+.f64 z x))) (.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y))
▶	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))))
	2.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (fma.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z))) y (*.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))) z))
	29.7%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64))) y)) z))
	2.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) #s(literal 2 binary64))) z))
▶	42.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
	42.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))
	0.9%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (fma.f64 (.f64 z y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) z))) #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) x))) #s(literal -1/2 binary64))) (.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z))) z)) y (.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))))
▶	2.5%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (.f64 (.f64 (neg.f64 z) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) x)))) (neg.f64 y) (.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) #s(literal -1 binary64)) #s(literal 2 binary64))))))

Compiler

Compiled 740 to 583 computations (21.2% saved)

simplify154.0ms (1.5%)

Memory

38.7MiB live, 189.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (.f64 (.f64 (neg.f64 z) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) x)))) (neg.f64 y) (.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) #s(literal -1 binary64)) #s(literal 2 binary64))))))
cost-diff	128	(.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) #s(literal -1 binary64)) #s(literal 2 binary64))
cost-diff	192	(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) #s(literal -1 binary64))
cost-diff	256	(fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) x)))) (neg.f64 y) (.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) #s(literal -1 binary64)) #s(literal 2 binary64)))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) (+.f64 z x))
cost-diff	0	(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)))
cost-diff	0	#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))))
cost-diff	0	(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
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	(/.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	74	624
0	114	606
1	206	602
2	424	598
3	1313	577
4	3008	568
5	5051	568
0	8210	562

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

localize233.0ms (2.3%)

Memory

-17.5MiB live, 307.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.586925844907611	(*.f64 (pow.f64 z #s(literal 3 binary64)) x)
accuracy	14.091359837218246	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) x)))
accuracy	16.55515937093041	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (.f64 (.f64 (neg.f64 z) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) x)))) (neg.f64 y) (.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) #s(literal -1 binary64)) #s(literal 2 binary64))))))
accuracy	31.448461593182405	#s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (.f64 (.f64 (neg.f64 z) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) x)))) (neg.f64 y) (.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
accuracy	0.32788293126112505	(/.f64 #s(literal 1 binary64) (*.f64 z x))
accuracy	3.6000924029888193	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))
accuracy	3.7814274541321033	(sqrt.f64 (*.f64 z x))
accuracy	30.232628382252063	#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))))
accuracy	4.7926657546359515	(.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)
accuracy	10.145097574011993	(sqrt.f64 (/.f64 (+.f64 y x) z))
accuracy	15.544307477331838	#s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64)))
accuracy	16.55515937093041	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
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	9.591498426435976	(sqrt.f64 #s(approx (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z x)))
accuracy	28.091622610917106	#s(approx (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z x))
accuracy	0	(.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))))))
accuracy	0.12109375	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))))
accuracy	0.5671507699652264	(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))
accuracy	9.002371302136412	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))))

Samples

67.0ms	131×	0	valid
58.0ms	125×	0	invalid

Compiler

Compiled 880 to 115 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 36.0ms (38.4% of total)

ival-div: 22.0ms (23.5% of total)

ival-sqrt: 15.0ms (16% of total)

ival-add: 12.0ms (12.8% of total)

ival-neg: 3.0ms (3.2% of total)

ival-pow: 3.0ms (3.2% of total)

ival-sub: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

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

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

series169.0ms (1.6%)

Memory

15.9MiB live, 245.7MiB allocated

Counts

26 → 828

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

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

Calls

9 calls:

Time	Variable		Point	Expression
34.0ms	x	@	-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 x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (* (sqrt (/ (+ y x) z)) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (* (sqrt (/ 1 (* z x))) (+ z x)) (sqrt (/ 1 (* z x))) (+ (* (neg (sqrt (/ 1 (* (pow z 3) x)))) (neg y)) (* (* (sqrt (/ (/ 1 x) z)) -1) 2)) (* (sqrt (/ (/ 1 x) z)) -1) (* (* (sqrt (/ (/ 1 x) z)) -1) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (/ (+ y x) z)) (sqrt (* z x)) (/ 1 (* z x)) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (sqrt (/ 1 (* (pow z 3) x))) (* (pow z 3) x))
17.0ms	x	@	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 x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (* (sqrt (/ (+ y x) z)) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (* (sqrt (/ 1 (* z x))) (+ z x)) (sqrt (/ 1 (* z x))) (+ (* (neg (sqrt (/ 1 (* (pow z 3) x)))) (neg y)) (* (* (sqrt (/ (/ 1 x) z)) -1) 2)) (* (sqrt (/ (/ 1 x) z)) -1) (* (* (sqrt (/ (/ 1 x) z)) -1) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (/ (+ y x) z)) (sqrt (* z x)) (/ 1 (* z x)) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (sqrt (/ 1 (* (pow z 3) x))) (* (pow z 3) x))
14.0ms	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 x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (* (sqrt (/ (+ y x) z)) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (* (sqrt (/ 1 (* z x))) (+ z x)) (sqrt (/ 1 (* z x))) (+ (* (neg (sqrt (/ 1 (* (pow z 3) x)))) (neg y)) (* (* (sqrt (/ (/ 1 x) z)) -1) 2)) (* (sqrt (/ (/ 1 x) z)) -1) (* (* (sqrt (/ (/ 1 x) z)) -1) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (/ (+ y x) z)) (sqrt (* z x)) (/ 1 (* z x)) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (sqrt (/ 1 (* (pow z 3) x))) (* (pow z 3) x))
7.0ms	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 x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (* (sqrt (/ (+ y x) z)) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (* (sqrt (/ 1 (* z x))) (+ z x)) (sqrt (/ 1 (* z x))) (+ (* (neg (sqrt (/ 1 (* (pow z 3) x)))) (neg y)) (* (* (sqrt (/ (/ 1 x) z)) -1) 2)) (* (sqrt (/ (/ 1 x) z)) -1) (* (* (sqrt (/ (/ 1 x) z)) -1) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (/ (+ y x) z)) (sqrt (* z x)) (/ 1 (* z x)) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (sqrt (/ 1 (* (pow z 3) x))) (* (pow z 3) x))
6.0ms	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 x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (* (sqrt (/ (+ y x) z)) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (* (sqrt (/ 1 (* z x))) (+ z x)) (sqrt (/ 1 (* z x))) (+ (* (neg (sqrt (/ 1 (* (pow z 3) x)))) (neg y)) (* (* (sqrt (/ (/ 1 x) z)) -1) 2)) (* (sqrt (/ (/ 1 x) z)) -1) (* (* (sqrt (/ (/ 1 x) z)) -1) 2) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (/ (+ y x) z)) (sqrt (* z x)) (/ 1 (* z x)) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (sqrt (/ 1 (* (pow z 3) x))) (* (pow z 3) x))

simplify365.0ms (3.5%)

Memory

-12.3MiB live, 428.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1675	23641
1	5853	22578
0	8170	21781

Stop Event

1×	iter limit
1×	node limit

Counts

828 → 828

Calls

Call 1

Inputs
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(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2)))) (+ (* -1 (* (sqrt (/ z (pow x 3))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ z x)) (pow (sqrt -1) 2)))))))
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(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ z (pow x 3))) (pow (sqrt -1) 2))))))
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(/ 1 (* x z))
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(* -1 (* x (+ (* z (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2)))))
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 3))) (+ (* z (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (* z (+ (* -1/4 (* (sqrt (/ (pow x 3) z)) (/ (pow y 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (* x (pow z 3))) (* y (+ (* -1/4 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 2)))) (/ (pow y 3) (pow z 3)))))))) x)) (* 1/2 (* (sqrt (/ x z)) (pow y 3)))) (pow x 3))) (+ (* z (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2))))))
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Outputs
(* 2 (sqrt (* x y)))
(.f64 (sqrt.f64 (.f64 y x)) #s(literal 2 binary64))
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rewrite221.0ms (2.1%)

Memory

-1.1MiB live, 313.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	498
0	114	482
1	420	410
2	3051	410
0	9093	405

Stop Event

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

Counts

26 → 553

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

Outputs
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eval298.0ms (2.9%)

Memory: 19.5MiB live, 407.1MiB allocated
Compiler: Compiled 43 446 to 5 291 computations (87.8% saved)

prune138.0ms (1.3%)

Memory

22.1MiB live, 182.6MiB allocated

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	1 461	16	1 477
Fresh	3	11	14
Picked	3	2	5
Done	0	2	2
Total	1 467	31	1 498

Accuracy

97.8%

Counts

1 498 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.1%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	6.0%	(.f64 #s(literal 2 binary64) (pow.f64 (.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))) #s(literal 1/4 binary64)))
	45.2%	(.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)))
	31.1%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 z (*.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 z y))) x)))))
	33.8%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 #s(literal 1 binary64) (*.f64 z y))))))
▶	37.8%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 #s(literal 1 binary64) (*.f64 y x))))))
	44.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (.f64 (.f64 x x) y) (/.f64 y (.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))))
	35.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 (+.f64 y x) z))))
▶	34.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z y))))
✓	3.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z x))))
	26.5%	(.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)))))
▶	29.9%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (/.f64 (.f64 (-.f64 y z) (+.f64 z y)) (*.f64 (-.f64 y z) (+.f64 z y))) (/.f64 x (pow.f64 (+.f64 z y) #s(literal -1 binary64)))))))
✓	39.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
✓	38.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	26.5%	(.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)))))
	31.3%	#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 y #s(literal 3 binary64))) (+.f64 z x))) (.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y))
	3.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (/.f64 (+.f64 z x) (sqrt.f64 (.f64 z x))) y (.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))))
	2.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (.f64 (pow.f64 (/.f64 z #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64))) (+.f64 z x)) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
	2.0%	#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 (.f64 (sqrt.f64 (/.f64 z #s(literal -1 binary64))) (sqrt.f64 (neg.f64 x))) #s(literal 2 binary64))))
	3.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 #s(approx (* (sqrt (/ 1 (* z x))) (+ z x)) (neg.f64 (sqrt.f64 (/.f64 x z)))) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
	2.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (fma.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)))) y (.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))) z))
▶	47.7%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z))
	30.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (pow.f64 (.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) z))
	47.7%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64))) z))
	2.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) #s(literal 2 binary64))) z))
✓	42.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
	42.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))
	41.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) #s(approx (* (sqrt (/ (+ y x) z)) 2) (fma.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) x)))) z))
▶	3.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) y (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))) x)))
	2.5%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (*.f64 (sqrt.f64 (/.f64 z x)) y)))
	3.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (.f64 (.f64 (neg.f64 z) x) #s(approx (+ (* (neg (sqrt (/ 1 (* (pow z 3) x)))) (neg y)) (* (* (sqrt (/ (/ 1 x) z)) -1) 2)) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))))))))

Compiler

Compiled 939 to 764 computations (18.6% saved)

simplify180.0ms (1.7%)

Memory

-12.3MiB live, 189.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (/.f64 (.f64 (-.f64 y z) (+.f64 z y)) (*.f64 (-.f64 y z) (+.f64 z y))) (/.f64 x (pow.f64 (+.f64 z y) #s(literal -1 binary64)))))))
cost-diff	320	(.f64 (/.f64 (.f64 (-.f64 y z) (+.f64 z y)) (*.f64 (-.f64 y z) (+.f64 z y))) (/.f64 x (pow.f64 (+.f64 z y) #s(literal -1 binary64))))
cost-diff	2112	(/.f64 (.f64 (-.f64 y z) (+.f64 z y)) (.f64 (-.f64 y z) (+.f64 z y)))
cost-diff	6848	(/.f64 x (pow.f64 (+.f64 z y) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) y (.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64)))
cost-diff	0	(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) y (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))) x)
cost-diff	0	#s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) y (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))) x))
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) y (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))) x)))
cost-diff	0	#s(approx (/ 1 (+ (* (+ y x) z) (* y x))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
cost-diff	0	(sqrt.f64 #s(approx (/ 1 (+ (* (+ y x) z) (* y x))) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (+ y x) z) (* y x))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
cost-diff	320	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 #s(literal 1 binary64) (*.f64 y x))))))
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 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))
cost-diff	0	#s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z)))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z)
cost-diff	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	634
0	113	550
1	203	526
2	352	510
3	920	510
4	5008	510
5	7367	510
0	8197	493

Stop Event

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

Calls

Call 1

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

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

localize280.0ms (2.7%)

Memory

-26.3MiB live, 277.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(/.f64 x (pow.f64 (+.f64 z y) #s(literal -1 binary64)))
accuracy	4.858821517697721	(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (/.f64 (.f64 (-.f64 y z) (+.f64 z y)) (*.f64 (-.f64 y z) (+.f64 z y))) (/.f64 x (pow.f64 (+.f64 z y) #s(literal -1 binary64))))))
accuracy	9.687610042033013	(/.f64 (.f64 (-.f64 y z) (+.f64 z y)) (.f64 (-.f64 y z) (+.f64 z y)))
accuracy	14.015382611010518	#s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (/.f64 (.f64 (-.f64 y z) (+.f64 z y)) (*.f64 (-.f64 y z) (+.f64 z y))) (/.f64 x (pow.f64 (+.f64 z y) #s(literal -1 binary64)))))
accuracy	1.700360779118214	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))
accuracy	8.938540286212195	(sqrt.f64 (/.f64 z x))
accuracy	14.81496189637881	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) y (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))) x)))
accuracy	15.09734951873493	#s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) y (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))) x))
accuracy	0.046875	(/.f64 #s(literal 1 binary64) (*.f64 y x))
accuracy	0.06640625	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (+ y x) z) (* y x))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
accuracy	4.629280031582287	(sqrt.f64 #s(approx (/ 1 (+ (* (+ y x) z) (* y x))) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
accuracy	14.926087418499124	#s(approx (/ 1 (+ (* (+ y x) z) (* y x))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
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	0.11494258244576885	#s(approx (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z y))
accuracy	4.858821517697721	(sqrt.f64 #s(approx (+ (/ (* (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z y)))
accuracy	0	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z))
accuracy	0.00390625	(sqrt.f64 (+.f64 x y))
accuracy	0.0625	(.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z)
accuracy	0.08203125	(/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))

Samples

131.0ms	192×	0	invalid
105.0ms	64×	0	valid

Compiler

Compiled 791 to 113 computations (85.7% saved)

Precisions

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

ival-div: 65.0ms (36% of total)

ival-pow: 44.0ms (24.4% of total)

ival-mult: 39.0ms (21.6% of total)

ival-sqrt: 17.0ms (9.4% of total)

ival-add: 13.0ms (7.2% of total)

ival-sub: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series187.0ms (1.8%)

Memory

16.6MiB live, 174.2MiB allocated

Counts

26 → 864

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
46.0ms	z	@	-inf	((* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/ (* (sqrt (+ x y)) 2) (sqrt z)) (* 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) (* 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 (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (* (+ (* (sqrt (/ 1 (* z x))) y) (* (sqrt (/ z x)) 2)) x) (+ (* (sqrt (/ 1 (* z x))) y) (* (sqrt (/ z x)) 2)) (/ x (pow (+ z y) -1)) (/ (* (- y z) (+ z y)) (* (- y z) (+ z y))) (* (/ (* (- y z) (+ z y)) (* (- y z) (+ z y))) (/ x (pow (+ z y) -1))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ x y)) (/ 1 (* y x)) (sqrt (/ z x)) (sqrt (/ 1 (* z x))) (+ (+ (* x y) (* x z)) (* y z)) (sqrt (+ (+ (* x y) (* x z)) (* y z))))
6.0ms	x	@	-inf	((* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/ (* (sqrt (+ x y)) 2) (sqrt z)) (* 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) (* 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 (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (* (+ (* (sqrt (/ 1 (* z x))) y) (* (sqrt (/ z x)) 2)) x) (+ (* (sqrt (/ 1 (* z x))) y) (* (sqrt (/ z x)) 2)) (/ x (pow (+ z y) -1)) (/ (* (- y z) (+ z y)) (* (- y z) (+ z y))) (* (/ (* (- y z) (+ z y)) (* (- y z) (+ z y))) (/ x (pow (+ z y) -1))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ x y)) (/ 1 (* y x)) (sqrt (/ z x)) (sqrt (/ 1 (* z x))) (+ (+ (* x y) (* x z)) (* y z)) (sqrt (+ (+ (* x y) (* x z)) (* y z))))
4.0ms	y	@	-inf	((* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/ (* (sqrt (+ x y)) 2) (sqrt z)) (* 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) (* 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 (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (* (+ (* (sqrt (/ 1 (* z x))) y) (* (sqrt (/ z x)) 2)) x) (+ (* (sqrt (/ 1 (* z x))) y) (* (sqrt (/ z x)) 2)) (/ x (pow (+ z y) -1)) (/ (* (- y z) (+ z y)) (* (- y z) (+ z y))) (* (/ (* (- y z) (+ z y)) (* (- y z) (+ z y))) (/ x (pow (+ z y) -1))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ x y)) (/ 1 (* y x)) (sqrt (/ z x)) (sqrt (/ 1 (* z x))) (+ (+ (* x y) (* x z)) (* y z)) (sqrt (+ (+ (* x y) (* x z)) (* y z))))
4.0ms	x	@	inf	((* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/ (* (sqrt (+ x y)) 2) (sqrt z)) (* 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) (* 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 (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (* (+ (* (sqrt (/ 1 (* z x))) y) (* (sqrt (/ z x)) 2)) x) (+ (* (sqrt (/ 1 (* z x))) y) (* (sqrt (/ z x)) 2)) (/ x (pow (+ z y) -1)) (/ (* (- y z) (+ z y)) (* (- y z) (+ z y))) (* (/ (* (- y z) (+ z y)) (* (- y z) (+ z y))) (/ x (pow (+ z y) -1))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ x y)) (/ 1 (* y x)) (sqrt (/ z x)) (sqrt (/ 1 (* z x))) (+ (+ (* x y) (* x z)) (* y z)) (sqrt (+ (+ (* x y) (* x z)) (* y z))))
3.0ms	x	@	0	((* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/ (* (sqrt (+ x y)) 2) (sqrt z)) (* 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) (* 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 (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (* (+ (* (sqrt (/ 1 (* z x))) y) (* (sqrt (/ z x)) 2)) x) (+ (* (sqrt (/ 1 (* z x))) y) (* (sqrt (/ z x)) 2)) (/ x (pow (+ z y) -1)) (/ (* (- y z) (+ z y)) (* (- y z) (+ z y))) (* (/ (* (- y z) (+ z y)) (* (- y z) (+ z y))) (/ x (pow (+ z y) -1))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ x y)) (/ 1 (* y x)) (sqrt (/ z x)) (sqrt (/ 1 (* z x))) (+ (+ (* x y) (* x z)) (* y z)) (sqrt (+ (+ (* x y) (* x z)) (* y z))))

simplify393.0ms (3.8%)

Memory

-35.3MiB live, 363.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1717	23427
1	5953	22464
0	8286	21619

Stop Event

1×	iter limit
1×	node limit

Counts

864 → 864

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

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

rewrite319.0ms (3.1%)

Memory

29.2MiB live, 262.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	564
0	113	480
1	447	420
2	3187	420
0	8101	399

Stop Event

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

Counts

26 → 441

Calls

Call 1

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

Outputs
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eval490.0ms (4.8%)

Memory: -11.3MiB live, 383.7MiB allocated
Compiler: Compiled 35 890 to 4 737 computations (86.8% saved)

prune273.0ms (2.6%)

Memory

13.3MiB live, 216.4MiB allocated

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	1 292	13	1 305
Fresh	6	16	22
Picked	3	2	5
Done	0	4	4
Total	1 301	35	1 336

Accuracy

97.8%

Counts

1 336 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.1%	(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	20.4%	(.f64 #s(literal 2 binary64) (pow.f64 (.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))) #s(literal 1/4 binary64)))
	6.0%	(.f64 #s(literal 2 binary64) (pow.f64 (.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))) #s(literal 1/4 binary64)))
	45.2%	(.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)))
	39.1%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 (pow.f64 y #s(literal -1 binary64)) x)))))
	33.8%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 #s(literal 1 binary64) (*.f64 z y))))))
✓	37.8%	(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 #s(literal 1 binary64) (*.f64 y x))))))
	44.0%	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (.f64 (.f64 x x) y) (/.f64 y (.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))))
	35.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 (+.f64 y x) z))))
✓	34.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z y))))
✓	3.7%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (/ ( (* (+ z y) (- y z)) x) (- y z)) (* y z)) (*.f64 z x))))
	26.5%	(.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)))))
	39.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 z y))))))
✓	39.6%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))))
✓	38.2%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 y x))))
	26.5%	(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) #s(approx (* (/ (* (- y z) (+ z y)) (* (- y z) (+ z y))) (/ x (pow (+ z y) -1))) (*.f64 (fma.f64 x (/.f64 y z) x) z)))))
	31.3%	#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 y #s(literal 3 binary64))) (+.f64 z x))) (.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y))
	3.6%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (/.f64 (+.f64 z x) (sqrt.f64 (.f64 z x))) y (.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))))
	2.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (.f64 (pow.f64 (/.f64 z #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64))) (+.f64 z x)) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
	2.0%	#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 (.f64 (sqrt.f64 (/.f64 z #s(literal -1 binary64))) (sqrt.f64 (neg.f64 x))) #s(literal 2 binary64))))
	3.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 #s(approx (* (sqrt (/ 1 (* z x))) (+ z x)) (neg.f64 (sqrt.f64 (/.f64 x z)))) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
	34.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))) z))
	46.5%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 #s(approx (sqrt (+ x y)) (sqrt.f64 y)) #s(literal 2 binary64)) (sqrt.f64 z))) z))
	30.4%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (pow.f64 (.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) z))
	47.7%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 y x))))) z))
	2.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) #s(literal 2 binary64))) z))
✓	42.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
	42.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))
	41.3%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) #s(approx (/ (* (sqrt (+ x y)) 2) (sqrt z)) (fma.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) x)))) z))
	2.1%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 (fma.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 x))) y (.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))) x)))
	3.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64) (/.f64 y (sqrt.f64 (.f64 z x)))) x)))
	2.2%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) y (*.f64 #s(approx (sqrt (/ z x)) (neg.f64 (sqrt.f64 (/.f64 z x)))) #s(literal 2 binary64))) x)))
	2.5%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (*.f64 (sqrt.f64 (/.f64 z x)) y)))
	2.8%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 #s(approx (+ ( (sqrt (/ 1 (* z x))) y) (* (sqrt (/ z x)) 2)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) y)) x)))
	2.0%	#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) #s(approx (* (+ (* (sqrt (/ 1 (* z x))) y) (* (sqrt (/ z x)) 2)) x) (.f64 (fma.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y (.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))) z))))

Compiler

Compiled 1 591 to 848 computations (46.7% saved)

regimes120.0ms (1.2%)

Memory

17.3MiB live, 330.4MiB allocated

Counts

64 → 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))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (*.f64 (sqrt.f64 (/.f64 z x)) y)))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 #s(approx (+ ( (sqrt (/ 1 (* z x))) y) (* (sqrt (/ z x)) 2)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) y)) x)))
(.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 (* (/ (* (- y z) (+ z y)) (* (- y z) (+ z y))) (/ x (pow (+ z y) -1))) (*.f64 (fma.f64 x (/.f64 y z) x) z)))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) #s(literal 2 binary64))) z))
(.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))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 #s(approx (sqrt (+ x y)) (sqrt.f64 y)) #s(literal 2 binary64)) (sqrt.f64 z))) z))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 z y))))))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 #s(literal 1 binary64) (*.f64 y x))))))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 #s(literal 1 binary64) (*.f64 z y))))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (.f64 (.f64 (neg.f64 z) x) #s(approx (+ (* (neg (sqrt (/ 1 (* (pow z 3) x)))) (neg y)) (* (* (sqrt (/ (/ 1 x) z)) -1) 2)) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))))))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) 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)))) (fma.f64 #s(approx (* (sqrt (/ 1 (* z x))) (+ z x)) (neg.f64 (sqrt.f64 (/.f64 x z)))) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
(.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 (/.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 (+.f64 z x) (sqrt.f64 (.f64 z x))) y (.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64) (/.f64 y (sqrt.f64 (.f64 z x)))) x)))
#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)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) y (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))) x)))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) #s(approx (* (sqrt (/ (+ y x) z)) 2) (fma.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) x)))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) #s(approx (/ (* (sqrt (+ x y)) 2) (sqrt z)) (fma.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) x)))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) y (*.f64 #s(approx (sqrt (/ z x)) (neg.f64 (sqrt.f64 (/.f64 z x)))) #s(literal 2 binary64))) x)))
#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 (.f64 (sqrt.f64 (/.f64 z #s(literal -1 binary64))) (sqrt.f64 (neg.f64 x))) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (pow.f64 (.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))) #s(literal 1/4 binary64)))
(.f64 #s(literal 2 binary64) (pow.f64 (.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))) #s(literal 1/4 binary64)))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 y x))))) z))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 (pow.f64 y #s(literal -1 binary64)) x)))))
(.f64 #s(literal 2 binary64) (pow.f64 (.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 1/4 binary64)))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (pow.f64 (.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) #s(approx (* (+ (* (sqrt (/ 1 (* z x))) y) (* (sqrt (/ z x)) 2)) x) (.f64 (fma.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y (.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))) z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (/.f64 (.f64 (-.f64 y z) (+.f64 z y)) (*.f64 (-.f64 y z) (+.f64 z y))) (/.f64 x (pow.f64 (+.f64 z y) #s(literal -1 binary64)))))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 (fma.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 x))) y (.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))) x)))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 z (*.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 z y))) x)))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64))) y)) z))
#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 y #s(literal 3 binary64))) (+.f64 z x))) (.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 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (fma.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)))) y (.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (.f64 (.f64 (neg.f64 z) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) x)))) (neg.f64 y) (.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (.f64 (.f64 x x) y) (/.f64 y (.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 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (fma.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z))) y (*.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))) z))
(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 x y)) #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)))
(.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 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (.f64 (pow.f64 (/.f64 z #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64))) (+.f64 z x)) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (-.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z (-.f64 x y))) (*.f64 y x))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (fma.f64 (.f64 z y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) z))) #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) x))) #s(literal -1/2 binary64))) (.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z))) z)) y (.f64 (sqrt.f64 (*.f64 z 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) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64)))

Outputs

(*.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)))

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

Calls

6 calls:

21.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
21.0ms	y
19.0ms	x
18.0ms	z
18.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))

Results

Accuracy	Segments	Branch
89.2%	3	`x`
94.8%	3	`y`
90.1%	3	`z`
83.8%	2	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
83.8%	2	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
83.8%	2	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`

Compiler

Compiled 40 to 37 computations (7.5% saved)

regimes62.0ms (0.6%)

Memory

-36.0MiB live, 131.6MiB allocated

Counts

63 → 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))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (*.f64 (sqrt.f64 (/.f64 z x)) y)))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 #s(approx (+ ( (sqrt (/ 1 (* z x))) y) (* (sqrt (/ z x)) 2)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) y)) x)))
(.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 (* (/ (* (- y z) (+ z y)) (* (- y z) (+ z y))) (/ x (pow (+ z y) -1))) (*.f64 (fma.f64 x (/.f64 y z) x) z)))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) #s(literal 2 binary64))) z))
(.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))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 #s(approx (sqrt (+ x y)) (sqrt.f64 y)) #s(literal 2 binary64)) (sqrt.f64 z))) z))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 z y))))))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 #s(literal 1 binary64) (*.f64 y x))))))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 #s(literal 1 binary64) (*.f64 z y))))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (.f64 (.f64 (neg.f64 z) x) #s(approx (+ (* (neg (sqrt (/ 1 (* (pow z 3) x)))) (neg y)) (* (* (sqrt (/ (/ 1 x) z)) -1) 2)) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))))))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) 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)))) (fma.f64 #s(approx (* (sqrt (/ 1 (* z x))) (+ z x)) (neg.f64 (sqrt.f64 (/.f64 x z)))) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
(.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 (/.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 (+.f64 z x) (sqrt.f64 (.f64 z x))) y (.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64) (/.f64 y (sqrt.f64 (.f64 z x)))) x)))
#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)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) y (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))) x)))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) #s(approx (* (sqrt (/ (+ y x) z)) 2) (fma.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) x)))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) #s(approx (/ (* (sqrt (+ x y)) 2) (sqrt z)) (fma.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) x)))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) y (*.f64 #s(approx (sqrt (/ z x)) (neg.f64 (sqrt.f64 (/.f64 z x)))) #s(literal 2 binary64))) x)))
#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 (.f64 (sqrt.f64 (/.f64 z #s(literal -1 binary64))) (sqrt.f64 (neg.f64 x))) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (pow.f64 (.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))) #s(literal 1/4 binary64)))
(.f64 #s(literal 2 binary64) (pow.f64 (.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))) #s(literal 1/4 binary64)))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 y x))))) z))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 (pow.f64 y #s(literal -1 binary64)) x)))))
(.f64 #s(literal 2 binary64) (pow.f64 (.f64 (fma.f64 (+.f64 y x) z (.f64 y x)) (fma.f64 (+.f64 y x) z (.f64 y x))) #s(literal 1/4 binary64)))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (pow.f64 (.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) #s(approx (* (+ (* (sqrt (/ 1 (* z x))) y) (* (sqrt (/ z x)) 2)) x) (.f64 (fma.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y (.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))) z))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (.f64 (/.f64 (.f64 (-.f64 y z) (+.f64 z y)) (*.f64 (-.f64 y z) (+.f64 z y))) (/.f64 x (pow.f64 (+.f64 z y) #s(literal -1 binary64)))))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 (fma.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 x))) y (.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))) x)))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 z (*.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 z y))) x)))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64))) y)) z))
#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 y #s(literal 3 binary64))) (+.f64 z x))) (.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 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (fma.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x)))) y (.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (.f64 (.f64 (neg.f64 z) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) x)))) (neg.f64 y) (.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (.f64 (.f64 x x) y) (/.f64 y (.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 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (fma.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z))) y (*.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))) z))
(.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 x y)) #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)))
(.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 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (.f64 (.f64 (pow.f64 (/.f64 z #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64))) (+.f64 z x)) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (-.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z (-.f64 x y))) (*.f64 y x))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (fma.f64 (.f64 z y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) z))) #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) x))) #s(literal -1/2 binary64))) (.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z))) z)) y (.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))))

Outputs

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

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

Calls

3 calls:

21.0ms	z
18.0ms	x
18.0ms	y

Results

Accuracy	Segments	Branch
80.7%	2	`x`
84.2%	2	`z`
85.8%	2	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes15.0ms (0.1%)

Memory

-2.1MiB live, 37.6MiB allocated

Counts

41 → 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))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (*.f64 (sqrt.f64 (/.f64 z x)) y)))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 #s(approx (+ ( (sqrt (/ 1 (* z x))) y) (* (sqrt (/ z x)) 2)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) y)) x)))
(.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 (* (/ (* (- y z) (+ z y)) (* (- y z) (+ z y))) (/ x (pow (+ z y) -1))) (*.f64 (fma.f64 x (/.f64 y z) x) z)))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) #s(literal 2 binary64))) z))
(.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))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 #s(approx (sqrt (+ x y)) (sqrt.f64 y)) #s(literal 2 binary64)) (sqrt.f64 z))) z))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 z y))))))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 #s(literal 1 binary64) (*.f64 y x))))))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 #s(literal 1 binary64) (*.f64 z y))))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (.f64 (.f64 (neg.f64 z) x) #s(approx (+ (* (neg (sqrt (/ 1 (* (pow z 3) x)))) (neg y)) (* (* (sqrt (/ (/ 1 x) z)) -1) 2)) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))))))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) 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)))) (fma.f64 #s(approx (* (sqrt (/ 1 (* z x))) (+ z x)) (neg.f64 (sqrt.f64 (/.f64 x z)))) y (.f64 (sqrt.f64 (.f64 z x)) #s(literal 2 binary64))))
(.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 (/.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 (+.f64 z x) (sqrt.f64 (.f64 z x))) y (.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64) (/.f64 y (sqrt.f64 (.f64 z x)))) x)))
#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)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) y (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))) x)))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) #s(approx (* (sqrt (/ (+ y x) z)) 2) (fma.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) x)))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) #s(approx (/ (* (sqrt (+ x y)) 2) (sqrt z)) (fma.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z y))) x)))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) y (*.f64 #s(approx (sqrt (/ z x)) (neg.f64 (sqrt.f64 (/.f64 z x)))) #s(literal 2 binary64))) x)))
#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 (.f64 (sqrt.f64 (/.f64 z #s(literal -1 binary64))) (sqrt.f64 (neg.f64 x))) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (pow.f64 (.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))) #s(literal 1/4 binary64)))
(.f64 #s(literal 2 binary64) (pow.f64 (.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))) #s(literal 1/4 binary64)))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 y x))))) z))

Outputs

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
85.6%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory

24.3MiB live, 24.3MiB allocated

Counts

23 → 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))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (*.f64 (sqrt.f64 (/.f64 z x)) y)))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 #s(approx (+ ( (sqrt (/ 1 (* z x))) y) (* (sqrt (/ z x)) 2)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) y)) x)))
(.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 (* (/ (* (- y z) (+ z y)) (* (- y z) (+ z y))) (/ x (pow (+ z y) -1))) (*.f64 (fma.f64 x (/.f64 y z) x) z)))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) #s(literal 2 binary64))) z))
(.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))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 #s(approx (sqrt (+ x y)) (sqrt.f64 y)) #s(literal 2 binary64)) (sqrt.f64 z))) z))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 z y))))))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 #s(literal 1 binary64) (*.f64 y x))))))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 #s(literal 1 binary64) (*.f64 z y))))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (.f64 (.f64 (neg.f64 z) x) #s(approx (+ (* (neg (sqrt (/ 1 (* (pow z 3) x)))) (neg y)) (* (* (sqrt (/ (/ 1 x) z)) -1) 2)) (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))))))))

Outputs

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
84.4%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory

-21.1MiB live, 20.1MiB allocated

Counts

18 → 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))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (*.f64 (sqrt.f64 (/.f64 z x)) y)))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 #s(approx (+ ( (sqrt (/ 1 (* z x))) y) (* (sqrt (/ z x)) 2)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) y)) x)))
(.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 (* (/ (* (- y z) (+ z y)) (* (- y z) (+ z y))) (/ x (pow (+ z y) -1))) (*.f64 (fma.f64 x (/.f64 y z) x) z)))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) #s(literal 2 binary64))) z))
(.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))))
(.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ ( x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x))))

Outputs

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
84.3%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes24.0ms (0.2%)

Memory

31.8MiB live, 70.3MiB allocated

Counts

12 → 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))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (*.f64 (sqrt.f64 (/.f64 z x)) y)))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (.f64 #s(approx (+ ( (sqrt (/ 1 (* z x))) y) (* (sqrt (/ z x)) 2)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) y)) x)))

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))))

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

Calls

5 calls:

6.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
4.0ms	z
4.0ms	y
4.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
4.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))

Results

Accuracy	Segments	Branch
60.9%	5	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
60.9%	5	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
60.9%	5	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
75.6%	2	`z`
84.4%	3	`y`

Compiler

Compiled 39 to 34 computations (12.8% saved)

regimes5.0ms (0.1%)

Memory

-24.1MiB live, 15.0MiB allocated

Counts

10 → 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))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (*.f64 (sqrt.f64 (/.f64 z x)) y)))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) 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))))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
84.0%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.1%)

Memory

-8.6MiB live, 30.9MiB allocated

Counts

9 → 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))))
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (*.f64 (sqrt.f64 (/.f64 z x)) y)))

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	z
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
68.0%	2	`z`
68.7%	2	`x`
71.6%	2	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes3.0ms (0%)

Memory

10.1MiB live, 10.1MiB 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
70.6%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes3.0ms (0%)

Memory

9.7MiB live, 9.7MiB 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:

2.0ms

Results

Accuracy	Segments	Branch
70.0%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.1%)

Memory

-12.0MiB live, 29.5MiB allocated

Accuracy

Total -22.4b remaining (-56.7%)

Threshold costs -22.4b (-56.7%)

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:

4.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))
2.0ms	(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))
2.0ms	y
2.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))
2.0ms	z

Results

Accuracy	Segments	Branch
38.2%	1	`(.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (.f64 y z))))`
38.2%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z)))`
38.2%	1	`(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 y z))`
38.2%	1	`z`
38.2%	1	`x`
38.2%	1	`y`

Compiler

Compiled 40 to 37 computations (7.5% saved)

bsearch89.0ms (0.9%)

Memory

3.7MiB live, 200.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
49.0ms	-2.7252057324846174e-268	2.4035401569704762e-269
27.0ms	-521739284093263940.0	-19555908417997.383

Samples

28.0ms	393×	0	invalid
25.0ms	336×	0	valid

Compiler

Compiled 519 to 540 computations (-4% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 18.0ms (57.4% of total)

ival-add: 7.0ms (22.3% of total)

ival-sqrt: 5.0ms (15.9% of total)

ival-true: 1.0ms (3.2% of total)

exact: 1.0ms (3.2% of total)

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

bsearch60.0ms (0.6%)

Memory

-14.9MiB live, 110.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
45.0ms	-2.7252057324846174e-268	2.4035401569704762e-269

Samples

17.0ms	199×	0	invalid
13.0ms	192×	0	valid

Compiler

Compiled 329 to 355 computations (-7.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 9.0ms (44.9% of total)

ival-sqrt: 6.0ms (29.9% of total)

ival-add: 4.0ms (20% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.7252057324846174e-268	2.4035401569704762e-269

Compiler

Compiled 303 to 316 computations (-4.3% saved)

bsearch2.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.7252057324846174e-268	2.4035401569704762e-269

Compiler

Compiled 290 to 316 computations (-9% saved)

bsearch40.0ms (0.4%)

Memory

4.3MiB live, 81.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
36.0ms	2.3551627309287474e-7	0.007542299715015973

Samples

12.0ms	128×	0	valid
12.0ms	173×	0	invalid

Compiler

Compiled 225 to 209 computations (7.1% saved)

Precisions

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

ival-mult: 7.0ms (56.1% of total)

ival-add: 3.0ms (24% of total)

ival-sqrt: 2.0ms (16% of total)

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

exact: 0.0ms (0% of total)

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

bsearch11.0ms (0.1%)

Memory

23.1MiB live, 23.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
1.0ms	2.3551627309287474e-7	0.007542299715015973
8.0ms	-2.7252057324846174e-268	2.4035401569704762e-269

Samples

3.0ms	48×	0	invalid
2.0ms	32×	0	valid

Compiler

Compiled 257 to 273 computations (-6.2% saved)

Precisions

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

ival-mult: 2.0ms (57.9% of total)

ival-add: 1.0ms (28.9% of total)

ival-sqrt: 1.0ms (28.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch32.0ms (0.3%)

Memory

-23.2MiB live, 58.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
29.0ms	2.3551627309287474e-7	0.007542299715015973
0.0ms	-2.7252057324846174e-268	2.4035401569704762e-269

Samples

11.0ms	110×	0	invalid
11.0ms	112×	0	valid

Compiler

Compiled 241 to 265 computations (-10% saved)

Precisions

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

ival-mult: 8.0ms (64.9% of total)

ival-add: 2.0ms (16.2% of total)

ival-sqrt: 1.0ms (8.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch40.0ms (0.4%)

Memory

5.7MiB live, 83.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	-3.2910345790958225e-258	-2.7252057324846174e-268

Samples

14.0ms	160×	0	valid
13.0ms	158×	0	invalid

Compiler

Compiled 197 to 217 computations (-10.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 12.0ms (65.4% of total)

ival-add: 3.0ms (16.4% of total)

ival-sqrt: 2.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.7252057324846174e-268	2.4035401569704762e-269

Compiler

Compiled 225 to 264 computations (-17.3% saved)

bsearch15.0ms (0.1%)

Memory

-9.6MiB live, 29.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-3.2910345790958225e-258	-2.7252057324846174e-268

Samples

7.0ms	44×	0	invalid
3.0ms	48×	0	valid

Compiler

Compiled 157 to 197 computations (-25.5% saved)

Precisions

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

ival-add: 4.0ms (54.1% of total)

ival-mult: 2.0ms (27.1% of total)

ival-sqrt: 1.0ms (13.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify33.0ms (0.3%)

Memory

17.8MiB live, 61.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	737
1	164	737
2	173	737
3	181	737
4	185	737
5	186	737

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -3200000000000000 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))) (if (<=.f64 y #s(literal 1747244867461395/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208 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 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z))))
(if (<=.f64 y #s(literal -2509341033056259/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 (pow.f64 y #s(literal -1 binary64)) x))))) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z)))
(if (<=.f64 y #s(literal 1747244867461395/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208 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 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z)))
(if (<=.f64 y #s(literal 7137681160693359/297403381695556612559612499629980112026252040331878891811154371863188131432080874709033662899231270117959744758038594610090917049108981141558166116220478925156594168089491974788537281966859547374047839156470287441213549741375576017631419788069731616602409021090828782564753069762936832 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 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 #s(approx (sqrt (+ x y)) (sqrt.f64 y)) #s(literal 2 binary64)) (sqrt.f64 z))) z)))
(if (<=.f64 y #s(literal 1357680363825023/590295810358705651712 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 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)))
(if (<=.f64 y #s(literal -1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 1357680363825023/590295810358705651712 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 y x) z)))) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))))
(if (<=.f64 y #s(literal -1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 1080863910568919/144115188075855872 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 y x) z)))) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))))
(if (<=.f64 y #s(literal -3159910930515289/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776 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 -2509341033056259/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776 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 -5204559179672241/18587711355972288284975781226873757001640752520742430738197148241449258214505054669314603931201954382372484047377412163130682315569311321347385382263779932822287135505593248424283580122928721710877989947279392965075846858835973501101963736754358226037650563818176798910297066860183552 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 -3200000000000000 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))) (if (<=.f64 y #s(literal 1747244867461395/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208 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 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z))))
(if (<=.f64 y #s(literal -3200000000000000 binary64)) (.f64 (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)) #s(literal 2 binary64)) (if (<=.f64 y #s(literal 1747244867461395/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208 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 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z))))
(if (<=.f64 y #s(literal -2509341033056259/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 (pow.f64 y #s(literal -1 binary64)) x))))) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z)))
(if (<=.f64 y #s(literal -2509341033056259/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( (+ y x) z) (* y x))) (/.f64 (pow.f64 y #s(literal -1 binary64)) x)))) #s(literal 2 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z)))
(if (<=.f64 y #s(literal 1747244867461395/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208 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 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z)))
(if (<=.f64 y #s(literal 1747244867461395/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208 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 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z))) z)))
(if (<=.f64 y #s(literal 7137681160693359/297403381695556612559612499629980112026252040331878891811154371863188131432080874709033662899231270117959744758038594610090917049108981141558166116220478925156594168089491974788537281966859547374047839156470287441213549741375576017631419788069731616602409021090828782564753069762936832 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 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 #s(approx (sqrt (+ x y)) (sqrt.f64 y)) #s(literal 2 binary64)) (sqrt.f64 z))) z)))
(if (<=.f64 y #s(literal 7137681160693359/297403381695556612559612499629980112026252040331878891811154371863188131432080874709033662899231270117959744758038594610090917049108981141558166116220478925156594168089491974788537281966859547374047839156470287441213549741375576017631419788069731616602409021090828782564753069762936832 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 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (/.f64 (*.f64 #s(approx (sqrt (+ x y)) (sqrt.f64 y)) #s(literal 2 binary64)) (sqrt.f64 z))) z)))
(if (<=.f64 y #s(literal 1357680363825023/590295810358705651712 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 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)))
(if (<=.f64 y #s(literal 1357680363825023/590295810358705651712 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 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))) z)))
(if (<=.f64 y #s(literal -1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 1357680363825023/590295810358705651712 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 y x) z)))) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))))
(if (<=.f64 y #s(literal -1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 1357680363825023/590295810358705651712 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 x y) z))) #s(literal 2 binary64)) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))) z))))
(if (<=.f64 y #s(literal -1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 1080863910568919/144115188075855872 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 y x) z)))) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))))
(if (<=.f64 y #s(literal -1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 1080863910568919/144115188075855872 binary64)) (.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (.f64 (+.f64 x y) z))) #s(literal 2 binary64)) #s(approx ( 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (.f64 #s(approx (+ ( (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))))
(if (<=.f64 y #s(literal -3159910930515289/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776 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 -3159910930515289/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776 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 -2509341033056259/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776 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 -2509341033056259/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776 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 -5204559179672241/18587711355972288284975781226873757001640752520742430738197148241449258214505054669314603931201954382372484047377412163130682315569311321347385382263779932822287135505593248424283580122928721710877989947279392965075846858835973501101963736754358226037650563818176798910297066860183552 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 -5204559179672241/18587711355972288284975781226873757001640752520742430738197148241449258214505054669314603931201954382372484047377412163130682315569311321347385382263779932822287135505593248424283580122928721710877989947279392965075846858835973501101963736754358226037650563818176798910297066860183552 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))

soundness1.1s (10.7%)

Memory

-24.5MiB live, 1 130.8MiB 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
0	1717	23427
1	5953	22464
0	8286	21619
0	81	564
0	113	480
1	447	420
2	3187	420
0	8101	399
0	74	498
0	114	482
1	420	410
2	3051	410
0	9093	405
0	501	3429
1	1684	3363
2	6236	3318
0	8106	3177
0	1675	23641
1	5853	22578
0	8170	21781
0	1526	22523
1	5303	21613
0	8415	20770

Stop Event

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

Compiler

Compiled 530 to 366 computations (30.9% saved)

preprocess124.0ms (1.2%)

Memory: 40.4MiB live, 237.3MiB allocated
Compiler: Compiled 946 to 428 computations (54.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze212.0ms (2.1%)

sample1.7s (16.3%)

explain239.0ms (2.3%)

preprocess57.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize41.0ms (0.4%)

series43.0ms (0.4%)

simplify326.0ms (3.2%)

rewrite253.0ms (2.5%)

eval100.0ms (1%)

prune50.0ms (0.5%)

simplify255.0ms (2.5%)

localize233.0ms (2.3%)

series187.0ms (1.8%)

simplify320.0ms (3.1%)

rewrite321.0ms (3.1%)

eval296.0ms (2.9%)

prune151.0ms (1.5%)

simplify154.0ms (1.5%)

localize233.0ms (2.3%)

series169.0ms (1.6%)

simplify365.0ms (3.5%)

rewrite221.0ms (2.1%)

eval298.0ms (2.9%)

prune138.0ms (1.3%)

simplify180.0ms (1.7%)

localize280.0ms (2.7%)

series187.0ms (1.8%)

simplify393.0ms (3.8%)

rewrite319.0ms (3.1%)

eval490.0ms (4.8%)

prune273.0ms (2.6%)

regimes120.0ms (1.2%)

regimes62.0ms (0.6%)

regimes15.0ms (0.1%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes24.0ms (0.2%)

regimes5.0ms (0.1%)

regimes12.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes12.0ms (0.1%)

bsearch89.0ms (0.9%)

bsearch60.0ms (0.6%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch40.0ms (0.4%)

bsearch11.0ms (0.1%)

bsearch32.0ms (0.3%)

bsearch40.0ms (0.4%)

bsearch2.0ms (0%)

bsearch15.0ms (0.1%)

simplify33.0ms (0.3%)

soundness1.1s (10.7%)

preprocess124.0ms (1.2%)

end0.0ms (0%)

Profiling