Metrics for Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze40.0ms (1%)

Memory

31.3MiB live, 31.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
66.7%	49.9%	25%	0.1%	0%	25%	0%	7
66.7%	49.9%	25%	0.1%	0%	25%	0%	8
66.7%	49.9%	25%	0.1%	0%	25%	0%	9
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	10
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	11
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	12

Compiler

Compiled 12 to 12 computations (0% saved)

sample811.0ms (19.7%)

Memory

307.1MiB live, 307.1MiB allocated

Samples

414.0ms	8 256×	0	valid
101.0ms	2 050×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 298.0ms

ival-mult: 107.0ms (35.8% of total)

ival-sqrt: 65.0ms (21.8% of total)

ival-div: 64.0ms (21.4% of total)

ival-add: 43.0ms (14.4% of total)

exact: 9.0ms (3% of total)

ival-true: 7.0ms (2.3% of total)

ival-assert: 4.0ms (1.3% of total)

Bogosity

explain108.0ms (2.6%)

Memory

53.8MiB live, 53.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
-	-	`#s(literal 1 binary64)`
-	-	`z`
-	-	`(sqrt.f64 z)`
-	-	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
-	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
-	-	`y`
-	-	`#s(literal 2 binary64)`
-	-	`(*.f64 y (sqrt.f64 z))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

31.0ms

512×

valid

Compiler

Compiled 164 to 74 computations (54.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 6.0ms (38.2% of total)

ival-sqrt: 4.0ms (25.4% of total)

ival-div: 3.0ms (19.1% of total)

ival-add: 2.0ms (12.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess64.0ms (1.6%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	78
1	112	74
2	311	74
3	600	74
4	932	74
5	1348	74
6	1744	74
7	2055	74
8	2168	74
9	2252	74
10	2288	74
11	2292	74
12	2292	74
0	10	8
0	16	8
1	27	8
2	37	8
3	39	8
0	39	7

Stop Event

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

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))

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

Compiler

Compiled 10 to 10 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))

Compiler

Compiled 10 to 10 computations (0% saved)

simplify3.0ms (0.1%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y (sqrt.f64 z))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
cost-diff	128	(+.f64 x (*.f64 y (sqrt.f64 z)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
0	16	26
1	27	26
2	37	26
3	39	26
0	39	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.5%)

Memory

9.4MiB live, 9.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0	(sqrt.f64 z)
accuracy	0.01171875	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.2421875	(*.f64 y (sqrt.f64 z))

Samples

15.0ms

256×

valid

Compiler

Compiled 62 to 22 computations (64.5% saved)

Precisions

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

ival-mult: 3.0ms (39.5% of total)

ival-div: 2.0ms (26.4% of total)

ival-sqrt: 2.0ms (26.4% of total)

ival-add: 1.0ms (13.2% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

5 → 108

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x (.f64 y (sqrt.f64 z))) (patch (+.f64 x (.f64 y (sqrt.f64 z))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z)))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())
#s(alt (.f64 y (sqrt.f64 z)) (patch (.f64 y (sqrt.f64 z)) #<representation binary64>) () ())
#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ())

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

Calls

9 calls:

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

simplify97.0ms (2.3%)

Memory

24.9MiB live, 24.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	646
1	251	646
2	797	646
3	2298	622
4	5069	622
5	7549	622
0	8141	566

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 105

Calls

Call 1

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

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

rewrite135.0ms (3.3%)

Memory

51.9MiB live, 51.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
0	16	21
1	41	21
2	234	21
3	2001	21
0	8162	19

Stop Event

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

Counts

5 → 272

Calls

Call 1

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

Outputs
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eval50.0ms (1.2%)

Memory: 32.6MiB live, 32.6MiB allocated
Compiler: Compiled 9 397 to 942 computations (90% saved)

prune28.0ms (0.7%)

Memory

25.6MiB live, 25.6MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	362	15	377
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	363	15	378

Accuracy

100.0%

Counts

378 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.2%	(/.f64 (.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (sqrt.f64 z) y) x))
	51.1%	(/.f64 (.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (.f64 (sqrt.f64 z) y)))
	55.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64))))
	51.0%	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 (neg.f64 (fma.f64 (neg.f64 z) (.f64 y y) (.f64 x x))) #s(literal 1/2 binary64))))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))))
	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	87.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))) (neg.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y)))))))
	99.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
	99.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (*.f64 (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64)))))))
▶	99.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))))
	55.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (neg.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
▶	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	93.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
	46.8%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
▶	53.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 446 to 364 computations (18.4% saved)

simplify231.0ms (5.6%)

Memory

49.0MiB live, 49.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))))
cost-diff	128	(+.f64 x (.f64 y (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
cost-diff	2240	(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x))
cost-diff	0	(.f64 (fma.f64 (.f64 z y) y (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (sqrt.f64 z) y) x))
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
cost-diff	0	(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(*.f64 y (sqrt.f64 z))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
cost-diff	128	(+.f64 x (*.f64 y (sqrt.f64 z)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	210
0	61	190
1	103	190
2	155	190
3	254	190
4	441	190
5	674	190
6	1381	190
7	3420	190
8	4836	190
9	5319	190
10	5677	190
11	5766	190
12	5843	190
13	7505	190
0	8065	184

Stop Event

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

Calls

Call 1

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

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

localize89.0ms (2.2%)

Memory

34.0MiB live, 34.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(+.f64 x (.f64 y (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))))
accuracy	0.15625	(sqrt.f64 (sqrt.f64 z))
accuracy	0.2421875	(.f64 y (.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))
accuracy	0.5137100586106521	(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))
accuracy	0.0078125	(-.f64 (*.f64 (sqrt.f64 z) y) x)
accuracy	0.2421875	(*.f64 (sqrt.f64 z) y)
accuracy	2.7538897356333614	(fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x))
accuracy	28.188337960299524	(/.f64 (.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (sqrt.f64 z) y) x))
accuracy	0	(*.f64 z y)
accuracy	0	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
accuracy	0.17578125	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	4.234981161246835	(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	29.722919854515055	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0	(sqrt.f64 z)
accuracy	0.01171875	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.2421875	(*.f64 y (sqrt.f64 z))

Samples

62.0ms

256×

valid

Compiler

Compiled 407 to 65 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 22.0ms (54.3% of total)

ival-sqrt: 6.0ms (14.8% of total)

ival-div: 5.0ms (12.3% of total)

ival-add: 5.0ms (12.3% of total)

ival-sub: 1.0ms (2.5% of total)

ival-neg: 1.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series88.0ms (2.1%)

Memory

38.5MiB live, 38.5MiB allocated

Counts

22 → 588

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
29.0ms	z	@	0	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (sqrt (/ 1 z)) (* (sqrt z) y) (- (* (sqrt z) y) x) (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (sqrt (sqrt z)))
12.0ms	z	@	-inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (sqrt (/ 1 z)) (* (sqrt z) y) (- (* (sqrt z) y) x) (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (sqrt (sqrt z)))
11.0ms	z	@	inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (sqrt (/ 1 z)) (* (sqrt z) y) (- (* (sqrt z) y) x) (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (sqrt (sqrt z)))
8.0ms	y	@	-inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (sqrt (/ 1 z)) (* (sqrt z) y) (- (* (sqrt z) y) x) (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (sqrt (sqrt z)))
3.0ms	y	@	inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (sqrt (/ 1 z)) (* (sqrt z) y) (- (* (sqrt z) y) x) (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (sqrt (sqrt z)))

simplify140.0ms (3.4%)

Memory

43.9MiB live, 43.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	211	4424
1	683	4282
2	2649	4135
3	6016	4134
0	8329	3846

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 579

Calls

Call 1

Inputs
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y z)
(* y z)
(* y z)
(* y z)
(* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x)))
(+ (* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))))
(+ (* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))))
(+ (* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))))
(* -1/2 (pow x 2))
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow y 2) z)))
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow y 2) z)))
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow y 2) z)))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* (pow y 2) z))
(+ (* -1 (pow x 2)) (* (pow y 2) z))
(+ (* -1 (pow x 2)) (* (pow y 2) z))
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(- (* y (sqrt z)) x)
(- (* y (sqrt z)) x)
(- (* y (sqrt z)) x)
(- (* y (sqrt z)) x)
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(pow (* 1 z) 1/4)
(pow (* 1 z) 1/4)
(pow (* 1 z) 1/4)
(pow (* 1 z) 1/4)
(* y (sqrt z))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* 1/2 (* y (sqrt z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(* 1/2 (* y (sqrt z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* 1/2 (* y (sqrt z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* 1/2 (* y (sqrt z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* y (sqrt z))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* y z)
(* y z)
(* y z)
(* y z)
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (+ (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2)))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))))
(* 1/2 (* (pow y 2) z))
(* z (+ (* -1/2 (/ (pow x 2) z)) (* 1/2 (pow y 2))))
(* z (+ (* -1/2 (/ (pow x 2) z)) (* 1/2 (pow y 2))))
(* z (+ (* -1/2 (/ (pow x 2) z)) (* 1/2 (pow y 2))))
(* (pow y 2) z)
(* z (+ (* -1 (/ (pow x 2) z)) (pow y 2)))
(* z (+ (* -1 (/ (pow x 2) z)) (pow y 2)))
(* z (+ (* -1 (/ (pow x 2) z)) (pow y 2)))
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(* y (sqrt z))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* 1/2 (* y (sqrt z)))
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(* -1 (* x (+ 1 (* -1 (* (/ y x) (sqrt z))))))
(* -1 (* x (+ 1 (* -1 (* (/ y x) (sqrt z))))))
(* -1 (* x (+ 1 (* -1 (* (/ y x) (sqrt z))))))

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

rewrite186.0ms (4.5%)

Memory

79.5MiB live, 79.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	174
0	61	138
1	187	136
2	1036	134
0	9539	124

Stop Event

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

Counts

22 → 1 797

Calls

Call 1

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

Outputs
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eval320.0ms (7.8%)

Memory: 216.7MiB live, 216.7MiB allocated
Compiler: Compiled 63 206 to 4 376 computations (93.1% saved)

prune93.0ms (2.3%)

Memory

106.7MiB live, 106.7MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	2 642	5	2 647
Fresh	8	2	10
Picked	2	3	5
Done	0	0	0
Total	2 652	10	2 662

Accuracy

100.0%

Counts

2 662 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.7%	(/.f64 (.f64 (fma.f64 (.f64 z y) y (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 y (sqrt.f64 z)) z (neg.f64 x)))
▶	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	87.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))) (neg.f64 (.f64 (.f64 z y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y)))))))
▶	94.7%	(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y (sqrt.f64 z)) z x))
▶	93.4%	(.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (.f64 z y) (sqrt.f64 z))))
▶	99.7%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (/.f64 z (sqrt.f64 z)))))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	46.8%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
✓	93.4%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
✓	53.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 204 to 165 computations (19.1% saved)

simplify6.0ms (0.1%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	144
0	41	138
1	71	138
2	101	138
3	124	138
4	131	138
5	137	138
0	137	138

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize67.0ms (1.6%)

Memory

26.1MiB live, 26.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (.f64 z y) (sqrt.f64 z))))
accuracy	0	(sqrt.f64 z)
accuracy	0.01171875	(+.f64 x (/.f64 (*.f64 z y) (sqrt.f64 z)))
accuracy	7.8108140234182235	(/.f64 (*.f64 z y) (sqrt.f64 z))
accuracy	0	(sqrt.f64 z)
accuracy	0.01171875	(+.f64 x (*.f64 y (/.f64 z (sqrt.f64 z))))
accuracy	0.2421875	(*.f64 y (/.f64 z (sqrt.f64 z)))
accuracy	0.51171875	(/.f64 z (sqrt.f64 z))
accuracy	0	(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y (sqrt.f64 z)) z x))
accuracy	0	(sqrt.f64 z)
accuracy	0.2109375	(/.f64 y (sqrt.f64 z))
accuracy	3.3659611004749572	(fma.f64 (/.f64 y (sqrt.f64 z)) z x)
accuracy	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
accuracy	0	(sqrt.f64 z)
accuracy	0.2421875	(*.f64 (sqrt.f64 z) y)
accuracy	33.962066266322374	#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
accuracy	0	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
accuracy	0	(sqrt.f64 z)
accuracy	0.125	(fma.f64 (sqrt.f64 z) y x)

Samples

47.0ms

256×

valid

Compiler

Compiled 272 to 46 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 15.0ms (51.5% of total)

ival-add: 6.0ms (20.6% of total)

ival-div: 5.0ms (17.2% of total)

ival-sqrt: 2.0ms (6.9% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.6%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

17 → 504

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (* 1/2 (+ (* (/ y (sqrt z)) z) x)) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (+ x (* y (/ z (sqrt z)))) (* 1/2 (+ x (* y (/ z (sqrt z))))) (* y (/ z (sqrt z))) (/ z (sqrt z)) (+ x (/ (* z y) (sqrt z))) (* 1/2 (+ x (/ (* z y) (sqrt z)))) (/ (* z y) (sqrt z)) (* z y))
2.0ms	y	@	-inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (* 1/2 (+ (* (/ y (sqrt z)) z) x)) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (+ x (* y (/ z (sqrt z)))) (* 1/2 (+ x (* y (/ z (sqrt z))))) (* y (/ z (sqrt z))) (/ z (sqrt z)) (+ x (/ (* z y) (sqrt z))) (* 1/2 (+ x (/ (* z y) (sqrt z)))) (/ (* z y) (sqrt z)) (* z y))
1.0ms	y	@	0	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (* 1/2 (+ (* (/ y (sqrt z)) z) x)) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (+ x (* y (/ z (sqrt z)))) (* 1/2 (+ x (* y (/ z (sqrt z))))) (* y (/ z (sqrt z))) (/ z (sqrt z)) (+ x (/ (* z y) (sqrt z))) (* 1/2 (+ x (/ (* z y) (sqrt z)))) (/ (* z y) (sqrt z)) (* z y))
1.0ms	y	@	inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (* 1/2 (+ (* (/ y (sqrt z)) z) x)) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (+ x (* y (/ z (sqrt z)))) (* 1/2 (+ x (* y (/ z (sqrt z))))) (* y (/ z (sqrt z))) (/ z (sqrt z)) (+ x (/ (* z y) (sqrt z))) (* 1/2 (+ x (/ (* z y) (sqrt z)))) (/ (* z y) (sqrt z)) (* z y))
1.0ms	z	@	inf	((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (* 1/2 (+ (* (/ y (sqrt z)) z) x)) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (+ x (* y (/ z (sqrt z)))) (* 1/2 (+ x (* y (/ z (sqrt z))))) (* y (/ z (sqrt z))) (/ z (sqrt z)) (+ x (/ (* z y) (sqrt z))) (* 1/2 (+ x (/ (* z y) (sqrt z)))) (/ (* z y) (sqrt z)) (* z y))

simplify120.0ms (2.9%)

Memory

32.1MiB live, 32.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	3182
1	287	3182
2	942	3182
3	2513	3062
4	5409	3062
5	7962	3062
0	8338	2782

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 489

Calls

Call 1

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

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

rewrite129.0ms (3.1%)

Memory

52.7MiB live, 52.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	117
0	41	93
1	156	93
2	888	93
0	9653	93

Stop Event

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

Counts

17 → 1 057

Calls

Call 1

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

Outputs
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eval203.0ms (4.9%)

Memory: 137.7MiB live, 137.7MiB allocated
Compiler: Compiled 27 239 to 1 812 computations (93.3% saved)

prune66.0ms (1.6%)

Memory

71.5MiB live, 71.5MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1 710	4	1 714
Fresh	2	0	2
Picked	2	3	5
Done	1	2	3
Total	1 715	9	1 724

Accuracy

100.0%

Counts

1 724 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	94.7%	(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y (sqrt.f64 z)) z x))
▶	94.7%	(.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (/ y (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z x))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
▶	40.6%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z))))
▶	46.7%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (/.f64 z (sqrt.f64 z)) y)))
▶	43.8%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)))
✓	46.8%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
✓	53.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 74 to 75 computations (-1.4% saved)

simplify5.0ms (0.1%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	187
0	45	187
1	66	187
2	76	187
3	79	187
0	79	181

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize61.0ms (1.5%)

Memory

23.4MiB live, 23.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (/ y (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
accuracy	0.17578125	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	0.25390625	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
accuracy	3.3659611004749572	(fma.f64 #s(approx (/ y (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z x)
accuracy	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z))))
accuracy	0	(sqrt.f64 z)
accuracy	7.8108140234182235	(/.f64 (*.f64 y z) (sqrt.f64 z))
accuracy	33.962066266322374	#s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z)))
accuracy	0	(sqrt.f64 z)
accuracy	0.2421875	(*.f64 (/.f64 z (sqrt.f64 z)) y)
accuracy	0.51171875	(/.f64 z (sqrt.f64 z))
accuracy	33.962066266322374	#s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 z (sqrt.f64 z)) y))
accuracy	0	(sqrt.f64 z)
accuracy	0.2109375	(/.f64 y (sqrt.f64 z))
accuracy	4.995628290095647	(*.f64 (/.f64 y (sqrt.f64 z)) z)
accuracy	33.962066266322374	#s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z))

Samples

42.0ms

256×

valid

Compiler

Compiled 267 to 46 computations (82.8% saved)

Precisions

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

ival-mult: 11.0ms (44.1% of total)

ival-div: 6.0ms (24% of total)

ival-sqrt: 4.0ms (16% of total)

ival-add: 3.0ms (12% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.6%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

18 → 492

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ y (sqrt z)) z) (/ y (sqrt z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ z (sqrt z)) y) (/ z (sqrt z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (/ (* y z) (sqrt z)) (* y z) (* 1/2 (+ (* (/ y (sqrt z)) z) x)) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (* (sqrt (/ 1 z)) y) (sqrt z) (sqrt (/ 1 z)))
2.0ms	y	@	-inf	((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ y (sqrt z)) z) (/ y (sqrt z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ z (sqrt z)) y) (/ z (sqrt z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (/ (* y z) (sqrt z)) (* y z) (* 1/2 (+ (* (/ y (sqrt z)) z) x)) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (* (sqrt (/ 1 z)) y) (sqrt z) (sqrt (/ 1 z)))
1.0ms	y	@	inf	((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ y (sqrt z)) z) (/ y (sqrt z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ z (sqrt z)) y) (/ z (sqrt z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (/ (* y z) (sqrt z)) (* y z) (* 1/2 (+ (* (/ y (sqrt z)) z) x)) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (* (sqrt (/ 1 z)) y) (sqrt z) (sqrt (/ 1 z)))
1.0ms	z	@	0	((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ y (sqrt z)) z) (/ y (sqrt z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ z (sqrt z)) y) (/ z (sqrt z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (/ (* y z) (sqrt z)) (* y z) (* 1/2 (+ (* (/ y (sqrt z)) z) x)) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (* (sqrt (/ 1 z)) y) (sqrt z) (sqrt (/ 1 z)))
1.0ms	z	@	inf	((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ y (sqrt z)) z) (/ y (sqrt z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ z (sqrt z)) y) (/ z (sqrt z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (/ (* y z) (sqrt z)) (* y z) (* 1/2 (+ (* (/ y (sqrt z)) z) x)) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (* (sqrt (/ 1 z)) y) (sqrt z) (sqrt (/ 1 z)))

simplify105.0ms (2.6%)

Memory

29.9MiB live, 29.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	3032
1	288	3004
2	947	3000
3	2527	2904
4	5460	2904
0	8061	2680

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 480

Calls

Call 1

Inputs
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y z)
(* y z)
(* y z)
(* y z)
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(* 1/2 (+ x (* y (sqrt z))))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(* 1/2 (* y (sqrt z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* y (sqrt z))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* 1/2 (* y (sqrt z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* y (sqrt z))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(* 1/2 (* y (sqrt z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* y (sqrt z))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y z)
(* y z)
(* y z)
(* y z)
(* 1/2 (* y (sqrt z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* y (sqrt z))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(sqrt (/ 1 z))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(sqrt z)
(sqrt z)
(sqrt z)
(sqrt z)
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y z)
(* y z)
(* y z)
(* y z)
(* 1/2 (* y (sqrt z)))
(* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(* y (sqrt z))
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(* 1/2 x)
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
x
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* 1/2 x)
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
x
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* 1/2 x)
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
x
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y z)
(* y z)
(* y z)
(* y z)
(* 1/2 x)
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
x
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(+ x (* y (sqrt z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* 1/2 (* y (sqrt z)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (sqrt z))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt z) (/ x y)))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* 1/2 (* y (sqrt z)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (sqrt z))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt z) (/ x y)))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* 1/2 (* y (sqrt z)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (sqrt z))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt z) (/ x y)))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y (sqrt z))
(* y z)
(* y z)
(* y z)
(* y z)
(* 1/2 (* y (sqrt z)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (sqrt z))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt z) (/ x y)))
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(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* y (sqrt (/ 1 z)))
(* 1/2 (* y (sqrt z)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
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(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
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(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* y (sqrt z))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* y (sqrt z))
(* y (sqrt z))
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(* y (sqrt z))
(* 1/2 (* y (sqrt z)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
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(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
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(* y z)
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(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
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(* x (+ 1 (* (/ y x) (sqrt z))))
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x
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(* 1/2 x)
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(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
x
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(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
x
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(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* 1/2 x)
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
x
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(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
x
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
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(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
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x
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Outputs
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
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(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(+ x (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y x)
(+ x (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y x)
(+ x (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y x)
(+ x (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y x)
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
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(*.f64 (sqrt.f64 z) y)
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(* y (sqrt (/ 1 z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(+ x (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y x)
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(fma.f64 (sqrt.f64 z) y x)
(+ x (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y x)
(+ x (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y x)
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(*.f64 (sqrt.f64 z) y)
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(*.f64 (sqrt.f64 z) y)
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(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(+ x (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y x)
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(fma.f64 (sqrt.f64 z) y x)
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(*.f64 (sqrt.f64 z) y)
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(*.f64 (sqrt.f64 z) y)
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(*.f64 (sqrt.f64 z) y)
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(*.f64 (sqrt.f64 z) y)
(* y z)
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(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
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(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
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(fma.f64 (sqrt.f64 z) y x)
(* y (sqrt (/ 1 z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* y (sqrt (/ 1 z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* y (sqrt (/ 1 z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* y (sqrt (/ 1 z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
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(sqrt z)
(sqrt.f64 z)
(sqrt z)
(sqrt.f64 z)
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(sqrt.f64 z)
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(sqrt (/ 1 z))
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(sqrt (/ 1 z))
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(* 1/2 (* y (sqrt z)))
(.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
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(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
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(*.f64 (sqrt.f64 z) y)
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(*.f64 (sqrt.f64 z) y)
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(*.f64 (sqrt.f64 z) y)
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* 1/2 (* y (sqrt z)))
(.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
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(*.f64 (sqrt.f64 z) y)
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(*.f64 (sqrt.f64 z) y)
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(*.f64 (sqrt.f64 z) y)
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(* 1/2 (* y (sqrt z)))
(.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))
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(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
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(*.f64 (sqrt.f64 z) y)
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(*.f64 (sqrt.f64 z) y)
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(*.f64 (sqrt.f64 z) y)
(* y z)
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(* y z)
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(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
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(.f64 (.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(* y (sqrt (/ 1 z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(* y (sqrt (/ 1 z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
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(sqrt z)
(sqrt.f64 z)
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(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 (sqrt.f64 z) y)
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
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(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
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rewrite118.0ms (2.9%)

Memory

34.6MiB live, 34.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	166
0	45	156
1	116	155
2	545	137
0	4517	131

Stop Event

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

Counts

18 → 567

Calls

Call 1

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

Outputs
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eval145.0ms (3.5%)

Memory: 97.6MiB live, 97.6MiB allocated
Compiler: Compiled 15 657 to 2 038 computations (87% saved)

prune62.0ms (1.5%)

Memory

57.0MiB live, 57.0MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	1 168	1	1 169
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	1 168	10	1 178

Accuracy

100.0%

Counts

1 178 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	94.7%	(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y (sqrt.f64 z)) z x))
✓	94.7%	(.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (/ y (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z x))
✓	99.8%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	40.6%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z))))
✓	46.7%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (/.f64 z (sqrt.f64 z)) y)))
✓	43.8%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)))
✓	46.8%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
	43.8%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (.f64 #s(approx (/ y (sqrt z)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z)))
✓	53.6%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 426 to 195 computations (54.2% saved)

regimes58.0ms (1.4%)

Memory

25.0MiB live, 25.0MiB allocated

Counts

26 → 1

Calls

Call 1

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

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

Calls

7 calls:

8.0ms	(sqrt.f64 z)
8.0ms	z
8.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
8.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
99.8%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
99.8%	1	`(*.f64 y (sqrt.f64 z))`
99.8%	1	`(sqrt.f64 z)`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes17.0ms (0.4%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

7 calls:

2.0ms	(sqrt.f64 z)
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
2.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
74.5%	3	`x`
76.0%	3	`y`
66.6%	2	`z`
61.9%	3	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
61.9%	3	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
81.1%	3	`(*.f64 y (sqrt.f64 z))`
66.6%	2	`(sqrt.f64 z)`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes13.0ms (0.3%)

Memory

10.4MiB live, 10.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
2.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
2.0ms	(sqrt.f64 z)
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
53.6%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
53.6%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
53.6%	1	`z`
53.6%	1	`(sqrt.f64 z)`
53.6%	1	`x`
53.6%	1	`y`
53.6%	1	`(*.f64 y (sqrt.f64 z))`

Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.196942736114841e+23	2.3701200608006526e+26
0.0ms	-7.18175815530084e+78	-1.4768265697214226e+77

Compiler

Compiled 13 to 16 computations (-23.1% saved)

simplify28.0ms (0.7%)

Memory

18.6MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	75
1	33	75

Stop Event

1×

saturated

Calls

Call 1

Inputs

(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))

(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -4999999999999999836780037503297759611373201803324989956633012309316501610954752 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 499999999999999991611392 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))))

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

Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -4999999999999999836780037503297759611373201803324989956633012309316501610954752 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))) (if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 499999999999999991611392 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))))
(if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal -4999999999999999836780037503297759611373201803324989956633012309316501610954752 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 y (sqrt.f64 z)) #s(literal 499999999999999991611392 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

soundness309.0ms (7.5%)

Memory

2.8MiB live, 2.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	646
1	251	646
2	797	646
3	2298	622
4	5069	622
5	7549	622
0	8141	566
0	10	21
0	16	21
1	41	21
2	234	21
3	2001	21
0	8162	19

Stop Event

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

Compiler

Compiled 91 to 50 computations (45.1% saved)

preprocess38.0ms (0.9%)

Memory: 26.8MiB live, 26.8MiB allocated
Compiler: Compiled 106 to 56 computations (47.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze40.0ms (1%)

sample811.0ms (19.7%)

explain108.0ms (2.6%)

preprocess64.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize21.0ms (0.5%)

series9.0ms (0.2%)

simplify97.0ms (2.3%)

rewrite135.0ms (3.3%)

eval50.0ms (1.2%)

prune28.0ms (0.7%)

simplify231.0ms (5.6%)

localize89.0ms (2.2%)

series88.0ms (2.1%)

simplify140.0ms (3.4%)

rewrite186.0ms (4.5%)

eval320.0ms (7.8%)

prune93.0ms (2.3%)

simplify6.0ms (0.1%)

localize67.0ms (1.6%)

series25.0ms (0.6%)

simplify120.0ms (2.9%)

rewrite129.0ms (3.1%)

eval203.0ms (4.9%)

prune66.0ms (1.6%)

simplify5.0ms (0.1%)

localize61.0ms (1.5%)

series25.0ms (0.6%)

simplify105.0ms (2.6%)

rewrite118.0ms (2.9%)

eval145.0ms (3.5%)

prune62.0ms (1.5%)

regimes58.0ms (1.4%)

regimes17.0ms (0.4%)

regimes13.0ms (0.3%)

bsearch1.0ms (0%)

simplify28.0ms (0.7%)

soundness309.0ms (7.5%)

preprocess38.0ms (0.9%)

end0.0ms (0%)

Profiling