Metrics for Diagrams.TwoD.Apollonian:initialConfig from diagrams-contrib-1.3.0.5, A

analyze70.0ms (0.7%)

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
50%	49.9%	49.9%	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
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
93.8%	93.6%	6.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.2s (11.9%)

Results

989.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 609.0ms

ival-mult: 350.0ms (57.5% of total)

ival-div: 141.0ms (23.2% of total)

ival-add: 49.0ms (8% of total)

ival-sub: 41.0ms (6.7% of total)

ival-true: 12.0ms (2% of total)

ival-assert: 9.0ms (1.5% of total)

const: 6.0ms (1% of total)

Bogosity

preprocess113.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

684×	`div-sub`
578×	`sub-neg`
550×	`fmm-def`
425×	`associate-/l*`
376×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	672
1	164	660
2	533	660
3	2454	660
4	7758	660

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs x)

(abs z)

(negabs y)

explain157.0ms (1.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
58	-	-	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
26	-	-	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
0	-	-	`z`
0	-	-	`(*.f64 x x)`
0	-	-	`(*.f64 y #s(literal 2 binary64))`
0	-	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(*.f64 z z)`
0	-	-	`(*.f64 y y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	o/n	53	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	141
↳	`(*.f64 y y)`	overflow	61
↳	`(*.f64 x x)`	overflow	60
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	102
↳	`(*.f64 z z)`	overflow	65
`-.f64`	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	nan-rescue	26	0
↳	`(*.f64 y y)`	overflow	61
↳	`(*.f64 x x)`	overflow	60
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	102
↳	`(*.f64 z z)`	overflow	65
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	u/n	5	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	underflow	5
↳	`(*.f64 y y)`	underflow	67
↳	`(*.f64 x x)`	underflow	53
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	12
↳	`(*.f64 z z)`	underflow	63

Confusion

	Predicted +	Predicted -
+	75	0
-	0	181

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	75	0	0
-	0	0	181

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	181
1	66
2	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Results

76.0ms

512×

valid

Compiler

Compiled 138 to 48 computations (65.2% saved)

Precisions

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

ival-mult: 16.0ms (56% of total)

ival-div: 5.0ms (17.5% of total)

ival-add: 3.0ms (10.5% of total)

ival-sub: 2.0ms (7% of total)

ival-true: 1.0ms (3.5% of total)

ival-assert: 1.0ms (3.5% of total)

const: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler: Compiled 45 to 17 computations (62.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.0%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
▶	73.2%	(.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 y y) (*.f64 z z))) y))

Compiler

Compiled 35 to 21 computations (40% saved)

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

616×	`fmm-def`
443×	`distribute-lft-in`
411×	`associate-+l-`
403×	`distribute-rgt-in`
376×	`unsub-neg`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	23	423
1	49	423
2	101	423
3	252	423
4	689	423
5	1833	414
6	4026	396

Stop Event

1×	node limit

Calls

Call 1

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

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

localize83.0ms (0.8%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (.f64 x x) (.f64 y y))
✓	accuracy	91.1%	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
✓	accuracy	79.0%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 y y) (*.f64 z z))) y))
✓	accuracy	96.9%	(fma.f64 x x (-.f64 (.f64 y y) (.f64 z z)))
✓	accuracy	94.4%	(-.f64 (.f64 y y) (.f64 z z))
✓	accuracy	79.0%	(/.f64 (fma.f64 x x (-.f64 (.f64 y y) (.f64 z z))) y)

Results

64.0ms

256×

valid

Compiler

Compiled 104 to 18 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 12.0ms (49.5% of total)

ival-div: 5.0ms (20.6% of total)

ival-sub: 3.0ms (12.4% of total)

ival-fma: 3.0ms (12.4% of total)

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

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

const: 0.0ms (0% of total)

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

series32.0ms (0.3%)

Counts

11 → 276

Calls

Call 1

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

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
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#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>

Calls

69 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(* 1/2 (/ (+ (* x x) (- (* y y) (* z z))) y))
4.0ms	y	@	inf	(* 1/2 (/ (+ (* x x) (- (* y y) (* z z))) y))
1.0ms	x	@	0	(* 1/2 (/ (+ (* x x) (- (* y y) (* z z))) y))
1.0ms	x	@	inf	(* 1/2 (/ (+ (* x x) (- (* y y) (* z z))) y))
1.0ms	y	@	-inf	(* 1/2 (/ (+ (* x x) (- (* y y) (* z z))) y))

rewrite309.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1169×	`log1p-expm1-u`
595×	`expm1-log1p-u`
152×	`add-cube-cbrt`
151×	`add-exp-log`
151×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	323
1	353	293
2	5104	293

Stop Event

1×	node limit

Counts

11 → 370

Calls

Call 1

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

Outputs
(+.f64 (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))
(-.f64 (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (.f64 (.f64 y #s(literal 2 binary64)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (.f64 (.f64 y #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (.f64 y #s(literal 2 binary64))) (.f64 (.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) (.f64 y #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (neg.f64 (*.f64 y #s(literal -2 binary64))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal -2 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) y)
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (sqrt.f64 (.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))) (.f64 (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))) (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)))) (+.f64 (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 y))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (.f64 y #s(literal 2 binary64))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
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(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (hypot.f64 x y) z) (-.f64 (hypot.f64 x y) z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(*.f64 (hypot.f64 x y) (hypot.f64 x y))
(.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

simplify343.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

991×	`fmm-def`
475×	`associate-r`
415×	`associate-l`
325×	`times-frac`
256×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	733	30256
1	1723	28132
2	7677	28090

Stop Event

1×	node limit

Counts

646 → 462

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 #s(literal 1/2 binary64) y)
(.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
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(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(*.f64 (hypot.f64 x y) (hypot.f64 x y))
(.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 y (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 y (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
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(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(*.f64 (hypot.f64 x y) (hypot.f64 x y))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

eval318.0ms (3.1%)

Compiler: Compiled 10089 to 1737 computations (82.8% saved)

prune75.0ms (0.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	479	10	489
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	480	11	491

Accuracy

96.4%

Counts

491 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.8%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (pow.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
	71.4%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
✓	72.0%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
▶	66.1%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 y #s(literal 2 binary64)))
▶	32.1%	(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
	33.9%	(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))
	42.3%	(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))
	59.6%	(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
	71.5%	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
▶	61.0%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))))
▶	32.5%	(*.f64 #s(literal 1/2 binary64) y)

Compiler

Compiled 400 to 243 computations (39.3% saved)

simplify85.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))
✓	cost-diff	0	(pow.f64 z #s(literal 2 binary64))
✓	cost-diff	13376	(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y))))
✓	cost-diff	13376	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))))
✓	cost-diff	-6208	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 y #s(literal 2 binary64)))
✓	cost-diff	0	(pow.f64 z #s(literal 4 binary64))
✓	cost-diff	0	(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(sqrt.f64 (*.f64 y #s(literal 2 binary64)))
	cost-diff	0	(*.f64 y y)
✓	cost-diff	320	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (pow.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
✓	cost-diff	12864	(pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))

Rules

745×	`div-sub`
690×	`cancel-sign-sub-inv`
589×	`fma-define`
390×	`associate-r`
312×	`sub-neg`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	41	907
1	86	849
2	228	849
3	610	799
4	1720	773
5	4249	751
6	6563	751

Stop Event

1×	node limit

Calls

Call 1

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

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

localize248.0ms (2.4%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	93.0%	(fma.f64 (/.f64 x y) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y))
✓	accuracy	89.2%	(/.f64 x (pow.f64 z #s(literal 2 binary64)))
✓	accuracy	87.2%	(/.f64 y (pow.f64 z #s(literal 2 binary64)))
✓	accuracy	68.1%	(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y))))
	accuracy	100.0%	(+.f64 (.f64 x x) (.f64 y y))
✓	accuracy	91.1%	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))
✓	accuracy	79.0%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 y #s(literal 2 binary64)))
✓	accuracy	77.9%	(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	accuracy	90.0%	(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) y)
	accuracy	100.0%	(+.f64 (.f64 x x) (.f64 y y))
✓	accuracy	99.2%	(pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))
	accuracy	91.1%	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
✓	accuracy	79.0%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (pow.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))

Results

202.0ms

256×

valid

Compiler

Compiled 243 to 35 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-fma: 65.0ms (56.3% of total)

ival-mult: 14.0ms (12.1% of total)

ival-pow: 14.0ms (12.1% of total)

ival-div: 12.0ms (10.4% of total)

ival-sqrt: 4.0ms (3.5% of total)

ival-add: 2.0ms (1.7% of total)

ival-sub: 2.0ms (1.7% of total)

const: 1.0ms (0.9% of total)

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

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

series55.0ms (0.5%)

Counts

18 → 312

Calls

Call 1

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

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

Calls

105 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(* 1/2 (* (pow z 2) (+ (/ y (pow z 2)) (+ (* (/ x y) (/ x (pow z 2))) (/ -1 y)))))
3.0ms	z	@	inf	(/ (- (+ (* x x) (* y y)) (* z z)) (pow (sqrt (* y 2)) 2))
3.0ms	z	@	-inf	(/ (- (+ (* x x) (* y y)) (sqrt (pow z 4))) (* y 2))
2.0ms	y	@	0	(pow (sqrt (* y 2)) 2)
1.0ms	y	@	0	(* 1/2 (* (pow z 2) (+ (/ y (pow z 2)) (+ (* (/ x y) (/ x (pow z 2))) (/ -1 y)))))

rewrite247.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

262×	`log1p-expm1-u`
262×	`expm1-log1p-u`
250×	`add-exp-log`
250×	`add-log-exp`
250×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	594
1	659	567

Stop Event

1×	node limit

Counts

18 → 492

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 y #s(literal 2 binary64))
(*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 y (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) y)
(.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y #s(literal 2 binary64))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) #s(literal 2 binary64)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64))) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (.f64 y #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64))) (cbrt.f64 (.f64 y #s(literal 2 binary64)))) (cbrt.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
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(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 y (pow.f64 z #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 x (pow.f64 z #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (pow.f64 z #s(literal -2 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (pow.f64 z #s(literal -2 binary64))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 z #s(literal -2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (pow.f64 z #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) z))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (pow.f64 z #s(literal -2 binary64))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (pow.f64 z #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (cbrt.f64 (.f64 x (pow.f64 z #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(pow.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) z) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 x) (pow.f64 z #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 z #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 z #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y))
(+.f64 (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y)))
(.f64 (cbrt.f64 (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))) (sqrt.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y)))
(pow.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y)))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))))
(exp.f64 (log.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))))
(exp.f64 (.f64 (log.f64 (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)))

simplify593.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

911×	`fmm-def`
563×	`times-frac`
383×	`*-commutative`
356×	`associate-/r*`
329×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1100	39706
1	2567	36788
2	7876	36666

Stop Event

1×	node limit

Counts

804 → 695

Calls

Call 1

Inputs
(*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) y)
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) y)
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) y)
(/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y)))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))))
(exp.f64 (log.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))))
(exp.f64 (.f64 (log.f64 (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)))

Outputs
(*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))
(*.f64 y #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))
(*.f64 y #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))
(*.f64 y #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))
(*.f64 y #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(-.f64 (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))))
(-.f64 (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))))
(-.f64 (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 y (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 y (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 y (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 y (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 y (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 2 binary64))) (-.f64 (/.f64 y (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -2 binary64)))) y)
(/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -2 binary64)))) y)
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -2 binary64)))) y)
(/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -2 binary64)))) y)
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -2 binary64)))) y)
(/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -2 binary64)))) y)
(/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 y #s(literal 2 binary64))
(.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64)))))))
(.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64)))))))
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(*.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
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(.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))
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(pow.f64 (/.f64 (sqrt.f64 x) z) #s(literal 2 binary64))
(/.f64 x (pow.f64 z #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (pow.f64 z #s(literal -2 binary64))))
(*.f64 x (pow.f64 z #s(literal -2 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (/.f64 (sqrt.f64 x) z) #s(literal 2 binary64))
(/.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))
(pow.f64 (/.f64 (sqrt.f64 x) z) #s(literal 2 binary64))
(/.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(/.f64 (/.f64 x (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 x) z))
(pow.f64 (/.f64 (sqrt.f64 x) z) #s(literal 2 binary64))
(/.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (/.f64 (sqrt.f64 x) z) #s(literal 2 binary64))
(/.f64 x (pow.f64 z #s(literal 2 binary64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (cbrt.f64 (.f64 x (pow.f64 z #s(literal -2 binary64)))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 z #s(literal -2 binary64)))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (/.f64 (sqrt.f64 x) z) #s(literal 2 binary64))
(/.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(/.f64 (/.f64 x (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(pow.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 x (pow.f64 z #s(literal -2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64)))) #s(literal 3 binary64))
(*.f64 x (pow.f64 z #s(literal -2 binary64)))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (pow.f64 z #s(literal -2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 x) z) #s(literal 2 binary64))
(/.f64 x (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) z) #s(literal 2 binary64))
(/.f64 x (pow.f64 z #s(literal 2 binary64)))
(neg.f64 (/.f64 x (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (/.f64 (sqrt.f64 x) z) #s(literal 2 binary64))
(/.f64 x (pow.f64 z #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 x) (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (/.f64 (sqrt.f64 x) z) #s(literal 2 binary64))
(/.f64 x (pow.f64 z #s(literal 2 binary64)))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 z #s(literal -2 binary64))))
(*.f64 x (pow.f64 z #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64))))))
(*.f64 x (pow.f64 z #s(literal -2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 x (pow.f64 z #s(literal -2 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64)))))
(*.f64 x (pow.f64 z #s(literal -2 binary64)))
(exp.f64 (log.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64)))))
(*.f64 x (pow.f64 z #s(literal -2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 z #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (pow.f64 z #s(literal -2 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) y)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) y)
(+.f64 (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) y)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y)))
(fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))
(.f64 (cbrt.f64 (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64)))
(fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))))
(fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))
(.f64 (sqrt.f64 (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))) (sqrt.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))))
(fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) y) (.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) (.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 x (/.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(pow.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))) #s(literal 3 binary64))
(fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))
(pow.f64 (pow.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64))
(fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y)))
(log.f64 (exp.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))))
(fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y)))))
(fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))
(fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))))
(fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))
(exp.f64 (log.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))))
(fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))
(exp.f64 (.f64 (log.f64 (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)))
(fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) y))

eval245.0ms (2.4%)

Compiler: Compiled 18899 to 2769 computations (85.3% saved)

prune122.0ms (1.2%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	801	12	813
Fresh	4	1	5
Picked	3	2	5
Done	0	1	1
Total	808	16	824

Accuracy

97.6%

Counts

824 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.8%	(pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
▶	32.2%	(pow.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
	31.9%	(pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))
▶	71.4%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (pow.f64 (.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))
	71.4%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
✓	72.0%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
✓	66.1%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 y #s(literal 2 binary64)))
	33.9%	(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)
▶	32.1%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))))
▶	32.1%	(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
▶	49.2%	(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
	33.8%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y)))
	64.5%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (pow.f64 (/.f64 (sqrt.f64 x) z) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y)))))
	64.5%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) (/.f64 #s(literal -1 binary64) y)))))
✓	32.5%	(*.f64 #s(literal 1/2 binary64) y)
	30.1%	(expm1.f64 (log1p.f64 (*.f64 y #s(literal 1/2 binary64))))

Compiler

Compiled 453 to 317 computations (30% saved)

simplify97.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(/.f64 x (pow.f64 z #s(literal 2 binary64)))
✓	cost-diff	0	(fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64))
✓	cost-diff	6656	(*.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
✓	cost-diff	6656	(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
✓	cost-diff	-12864	(*.f64 y #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))
✓	cost-diff	12864	(pow.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))))
	cost-diff	-6336	(*.f64 x x)
✓	cost-diff	-6336	(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
	cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(cbrt.f64 (*.f64 y #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
✓	cost-diff	0	(pow.f64 (.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))
	cost-diff	0	(*.f64 y y)

Rules

481×	`associate-r`
415×	`associate-/r*`
372×	`distribute-lft-neg-in`
366×	`distribute-rgt-neg-in`
337×	`associate-l`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	42	749
1	86	720
2	189	717
3	508	717
4	1548	717
5	4240	680
6	7110	680

Stop Event

1×	node limit

Calls

Call 1

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

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

localize264.0ms (2.6%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	96.3%	(fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64))
	accuracy	89.2%	(/.f64 x (pow.f64 z #s(literal 2 binary64)))
✓	accuracy	86.9%	(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
✓	accuracy	84.6%	(*.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
✓	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))
✓	accuracy	99.2%	(pow.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
✓	accuracy	98.7%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))))
✓	accuracy	90.1%	(/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) y)
	accuracy	100.0%	(*.f64 x x)
✓	accuracy	90.0%	(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
✓	accuracy	99.1%	(cbrt.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
✓	accuracy	99.1%	(cbrt.f64 (*.f64 y #s(literal 2 binary64)))
	accuracy	91.1%	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
✓	accuracy	79.0%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (pow.f64 (.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))

Results

186.0ms	255×	0	valid
3.0ms	1×	5	exit

Compiler

Compiled 213 to 36 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-add: 48.0ms (44.8% of total)

ival-mult: 21.0ms (19.6% of total)

ival-pow: 12.0ms (11.2% of total)

ival-div: 10.0ms (9.3% of total)

ival-sqrt: 6.0ms (5.6% of total)

ival-cbrt: 3.0ms (2.8% of total)

ival-fma: 3.0ms (2.8% of total)

const: 1.0ms (0.9% of total)

ival-sub: 1.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

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

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

series349.0ms (3.4%)

Counts

16 → 300

Calls

Call 1

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

Outputs
#<alt (.f64 (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 (sqrt.f64 y) (.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 (sqrt.f64 y) (.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 (sqrt.f64 y) (.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 (sqrt.f64 y) (.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 (sqrt.f64 y) (.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 (sqrt.f64 y) (.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 (sqrt.f64 y) (.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 (sqrt.f64 y) (.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (.f64 (.f64 (cbrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal -2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (.f64 (.f64 (cbrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal -2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (.f64 (.f64 (cbrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal -2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (.f64 (.f64 (cbrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal -2 binary64))))))>
#<alt (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
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#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (/.f64 (+.f64 (/.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (/.f64 (+.f64 (/.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (/.f64 (+.f64 (/.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (/.f64 (+.f64 (/.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (/.f64 (+.f64 (/.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (/.f64 (+.f64 (/.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) y) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal -1 binary64) y) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -2 binary64))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal -1 binary64) y) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -2 binary64))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal -1 binary64) y) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -2 binary64))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal -1 binary64) y) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -2 binary64))))>

Calls

81 calls:

Time	Variable		Point	Expression
195.0ms	y	@	0	(* (cbrt (* y 2)) (cbrt (sqrt (* y 2))))
32.0ms	z	@	inf	(/ (- (+ (* x x) (* y y)) (* z z)) (pow (* (cbrt (* y 2)) (cbrt (sqrt (* y 2)))) 2))
7.0ms	y	@	inf	(cbrt (sqrt (* y 2)))
7.0ms	y	@	0	(cbrt (sqrt (* y 2)))
7.0ms	y	@	-inf	(pow (* (cbrt (* y 2)) (cbrt (sqrt (* y 2)))) 2)

rewrite132.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

268×	`log1p-expm1-u`
268×	`expm1-log1p-u`
259×	`add-exp-log`
257×	`pow1`
257×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	398
1	683	391

Stop Event

1×	node limit

Counts

16 → 437

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 y #s(literal 2 binary64))
(*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 y (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) y)
(.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)) (.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) #s(literal 2 binary64)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64))) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64))) (cbrt.f64 (.f64 y #s(literal 2 binary64)))) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(.f64 (.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (.f64 y #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (.f64 y #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 y)) (cbrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(/.f64 y #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 y) #s(literal -1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y #s(literal 2 binary64)))
(fabs.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 y #s(literal 2 binary64))))
(*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 y))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64)))) (.f64 (cbrt.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1/6 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (.f64 y #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))))) (cbrt.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) y)
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 y))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 y #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 y #s(literal 2 binary64))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))))))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(.f64 z (.f64 z (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))
(*.f64 (/.f64 z (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) y))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1 binary64)))

simplify538.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

446×	`*-commutative`
440×	`times-frac`
397×	`exp-prod`
358×	`cube-prod`
357×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	968	4294993623
1	2146	4294992095
2	5926	4294992016

Stop Event

1×	node limit

Counts

737 → 600

Calls

Call 1

Inputs
(.f64 (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 y) (.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (sqrt.f64 y) (.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (sqrt.f64 y) (.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (sqrt.f64 y) (.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (sqrt.f64 y) (.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (sqrt.f64 y) (.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (sqrt.f64 y) (.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (sqrt.f64 y) (.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (.f64 (.f64 (cbrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal -2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (.f64 (.f64 (cbrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal -2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (.f64 (.f64 (cbrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal -2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (.f64 (.f64 (cbrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal -2 binary64))))))
(*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
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(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))))))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(.f64 z (.f64 z (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))
(*.f64 (/.f64 z (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) y))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1 binary64)))

Outputs
(.f64 (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 y #s(literal 2 binary64))
(.f64 (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 y #s(literal 2 binary64))
(.f64 (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 y #s(literal 2 binary64))
(.f64 (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 y #s(literal 2 binary64))
(.f64 (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 y #s(literal 2 binary64))
(.f64 (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 y #s(literal 2 binary64))
(.f64 (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 y #s(literal 2 binary64))
(.f64 (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 y #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 y #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 y #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 y #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 y #s(literal 2 binary64))
(.f64 (sqrt.f64 y) (.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (cbrt.f64 #s(literal 2 binary64)) (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (cbrt.f64 #s(literal 2 binary64)) (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (cbrt.f64 #s(literal 2 binary64)) (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (cbrt.f64 #s(literal 2 binary64)) (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (cbrt.f64 #s(literal 2 binary64)) (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (cbrt.f64 #s(literal 2 binary64)) (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (cbrt.f64 #s(literal 2 binary64)) (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (cbrt.f64 #s(literal 2 binary64)) (sqrt.f64 y)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (.f64 (.f64 (cbrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal -2 binary64))))))
(neg.f64 (.f64 (sqrt.f64 y) (.f64 (*.f64 (cbrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal -2 binary64))))))
(.f64 (.f64 (*.f64 (cbrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal -2 binary64)))) (neg.f64 (sqrt.f64 y)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (.f64 (.f64 (cbrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal -2 binary64))))))
(neg.f64 (.f64 (sqrt.f64 y) (.f64 (*.f64 (cbrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal -2 binary64))))))
(.f64 (.f64 (*.f64 (cbrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal -2 binary64)))) (neg.f64 (sqrt.f64 y)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (.f64 (.f64 (cbrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal -2 binary64))))))
(neg.f64 (.f64 (sqrt.f64 y) (.f64 (*.f64 (cbrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal -2 binary64))))))
(.f64 (.f64 (*.f64 (cbrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal -2 binary64)))) (neg.f64 (sqrt.f64 y)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (.f64 (.f64 (cbrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal -2 binary64))))))
(neg.f64 (.f64 (sqrt.f64 y) (.f64 (*.f64 (cbrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal -2 binary64))))))
(.f64 (.f64 (*.f64 (cbrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal -2 binary64)))) (neg.f64 (sqrt.f64 y)))
(*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 y))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 y) (cbrt.f64 #s(literal -2 binary64))))
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(exp.f64 (log.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(cbrt.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(.f64 z (.f64 z (/.f64 #s(literal 1 binary64) y)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 y)))
(/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)))
(pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(*.f64 (/.f64 z (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 y)))
(/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y))
(.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (/.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1 binary64))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal -2 binary64)))
(neg.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(neg.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(sqrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)

eval221.0ms (2.1%)

Compiler: Compiled 13209 to 2309 computations (82.5% saved)

prune256.0ms (2.5%)

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	713	10	723
Fresh	3	5	8
Picked	4	1	5
Done	0	3	3
Total	720	19	739

Accuracy

98.7%

Counts

739 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.8%	(pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
	31.9%	(pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))
✓	72.0%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
✓	66.1%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 y #s(literal 2 binary64)))
▶	33.9%	(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)
	32.1%	(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64))))
	34.7%	(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	34.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
	34.9%	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
✓	32.1%	(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
	53.5%	(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64))) (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64)))
	34.8%	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 x (*.f64 y #s(literal 2 binary64)))))
	31.8%	(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (/.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
▶	34.9%	(.f64 x (/.f64 x (.f64 y #s(literal 2 binary64))))
	54.0%	(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
▶	54.0%	(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) y)))))
	33.8%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y)))
▶	64.5%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) (/.f64 #s(literal -1 binary64) y)))))
✓	32.5%	(*.f64 #s(literal 1/2 binary64) y)

Compiler

Compiled 499 to 356 computations (28.7% saved)

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(*.f64 z (/.f64 #s(literal 1 binary64) y))
	cost-diff	6208	(/.f64 x (pow.f64 z #s(literal 2 binary64)))
✓	cost-diff	6784	(.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y))))
✓	cost-diff	6784	(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) y)))))
	cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))
✓	cost-diff	0	(*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))
✓	cost-diff	12736	(pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
	cost-diff	0	(pow.f64 z #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)
	cost-diff	0	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 x (*.f64 y #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 x (/.f64 x (.f64 y #s(literal 2 binary64))))
	cost-diff	0	(/.f64 y (pow.f64 z #s(literal 2 binary64)))
	cost-diff	0	(pow.f64 z #s(literal 2 binary64))
✓	cost-diff	13504	(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) (/.f64 #s(literal -1 binary64) y))))
✓	cost-diff	13504	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) (/.f64 #s(literal -1 binary64) y)))))

Rules

1041×	`fma-define`
604×	`fmm-def`
587×	`distribute-lft-in`
547×	`distribute-rgt-in`
342×	`*-commutative`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	43	931
1	90	853
2	268	853
3	904	791
4	2903	719
5	5596	719
6	7955	715

Stop Event

1×	node limit

Calls

Call 1

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

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

localize205.0ms (2%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(*.f64 z (/.f64 #s(literal 1 binary64) y))
	accuracy	96.3%	(fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64))
	accuracy	89.2%	(/.f64 x (pow.f64 z #s(literal 2 binary64)))
✓	accuracy	84.6%	(.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y))))
	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	accuracy	99.6%	(pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
✓	accuracy	99.6%	(*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))
✓	accuracy	99.4%	(sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))
	accuracy	100.0%	(pow.f64 z #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))
✓	accuracy	86.9%	(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)
✓	accuracy	100.0%	(/.f64 x (*.f64 y #s(literal 2 binary64)))
	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	99.8%	(.f64 x (/.f64 x (.f64 y #s(literal 2 binary64))))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z))
✓	accuracy	93.0%	(fma.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) (/.f64 #s(literal -1 binary64) y))
	accuracy	87.2%	(/.f64 y (pow.f64 z #s(literal 2 binary64)))
✓	accuracy	68.1%	(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) (/.f64 #s(literal -1 binary64) y))))

Results

151.0ms

256×

valid

Compiler

Compiled 254 to 37 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 20.0ms (35.8% of total)

ival-div: 19.0ms (34% of total)

ival-fma: 6.0ms (10.7% of total)

ival-pow: 6.0ms (10.7% of total)

ival-sqrt: 2.0ms (3.6% of total)

ival-add: 1.0ms (1.8% of total)

const: 1.0ms (1.8% of total)

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

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

series331.0ms (3.2%)

Counts

14 → 372

Calls

Call 1

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

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) y))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) y)>
#<alt (/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 y #s(literal 2 binary64))) y)>
#<alt (/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 y #s(literal 2 binary64))) y)>
#<alt (/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 y #s(literal 2 binary64))) y)>
#<alt y>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 y #s(literal 2 binary64)))))>
#<alt y>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
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#<alt (/.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 z #s(literal 2 binary64)))>

Calls

93 calls:

Time	Variable		Point	Expression
297.0ms	z	@	-inf	(* 1/2 (* (pow z 2) (+ (/ y (pow z 2)) (+ (* (/ x y) (* (/ 1 z) (/ x z))) (/ -1 y)))))
2.0ms	x	@	-inf	(* x (sqrt (/ 1/2 y)))
1.0ms	x	@	0	(* x (sqrt (/ 1/2 y)))
1.0ms	x	@	0	(pow (* x (sqrt (/ 1/2 y))) 2)
1.0ms	y	@	-inf	(pow (* x (sqrt (/ 1/2 y))) 2)

rewrite209.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

301×	`log1p-expm1-u`
301×	`expm1-log1p-u`
297×	`add-exp-log`
296×	`add-cube-cbrt`
295×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	533
1	704	513

Stop Event

1×	node limit

Counts

14 → 317

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))))) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 z (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))))
(log1p.f64 (expm1.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))))
(exp.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))
(+.f64 (.f64 (.f64 y (pow.f64 z #s(literal -2 binary64))) (pow.f64 z #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (-.f64 (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))) (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))) (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 y (pow.f64 z #s(literal -2 binary64))) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 y (pow.f64 z #s(literal -2 binary64))) (pow.f64 z #s(literal 2 binary64))) (.f64 (.f64 y (pow.f64 z #s(literal -2 binary64))) (pow.f64 z #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64)))) (.f64 (.f64 (.f64 y (pow.f64 z #s(literal -2 binary64))) (pow.f64 z #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))) (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))) (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y (pow.f64 z #s(literal -2 binary64))) (pow.f64 z #s(literal 2 binary64))) (.f64 (.f64 y (pow.f64 z #s(literal -2 binary64))) (pow.f64 z #s(literal 2 binary64)))) (.f64 (.f64 (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64))))) (-.f64 (.f64 (.f64 y (pow.f64 z #s(literal -2 binary64))) (pow.f64 z #s(literal 2 binary64))) (.f64 (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 z (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))))
(exp.f64 (log.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal -2 binary64))) (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 (.f64 y (pow.f64 z #s(literal -2 binary64))) (pow.f64 z #s(literal 2 binary64)) (.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 x (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) y)))
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(.f64 (sqrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 #s(literal 2 binary64) y))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (*.f64 #s(literal 2 binary64) y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y) (/.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (.f64 #s(literal 2 binary64) y)))
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(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 1 binary64))
(pow.f64 (.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (sqrt.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64))) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(exp.f64 (log.f64 (.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x (*.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z y))) #s(literal 1 binary64))
(/.f64 z y)
(/.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 (neg.f64 z) (neg.f64 y))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z y))))
(cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(log1p.f64 (expm1.f64 (/.f64 z y)))
(exp.f64 (log.f64 (/.f64 z y)))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 y #s(literal -2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (pow.f64 y #s(literal -2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(pow.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))
(exp.f64 (log.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))
(exp.f64 (.f64 (log.f64 (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 x (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z x))
(/.f64 (/.f64 x z) z)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (neg.f64 z)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 z x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(/.f64 (neg.f64 x) (*.f64 z (neg.f64 z)))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 z) z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) z)
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 z) z))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (neg.f64 z) (neg.f64 z)))
(/.f64 (.f64 x #s(literal -1 binary64)) (.f64 z (neg.f64 z)))
(/.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (neg.f64 z) (neg.f64 z)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x)) (neg.f64 z))
(pow.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) z) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal -1 binary64))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 z #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 z #s(literal -2 binary64)))) #s(literal 1 binary64)))

simplify501.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

595×	`associate-r`
576×	`associate-l`
452×	`exp-prod`
347×	`fmm-def`
258×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	765	27635
1	1753	26772
2	7028	26646

Stop Event

1×	node limit

Counts

689 → 499

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) y))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 #s(literal 1/2 binary64) y)
(.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
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(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (*.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (*.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 1 binary64))
(pow.f64 (.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (sqrt.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64))) (*.f64 z (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(exp.f64 (log.f64 (.f64 (fma.f64 x (.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x (*.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z y))) #s(literal 1 binary64))
(/.f64 z y)
(/.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 (neg.f64 z) (neg.f64 y))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z y))))
(cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(log1p.f64 (expm1.f64 (/.f64 z y)))
(exp.f64 (log.f64 (/.f64 z y)))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 y #s(literal -2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (pow.f64 y #s(literal -2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(pow.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))
(exp.f64 (log.f64 (fma.f64 (/.f64 x y) (*.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))
(exp.f64 (.f64 (log.f64 (fma.f64 (/.f64 x y) (.f64 x (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 x (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z x))
(/.f64 (/.f64 x z) z)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (neg.f64 z)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 z x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(/.f64 (neg.f64 x) (*.f64 z (neg.f64 z)))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 z) z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) z)
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 z) z))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (neg.f64 z) (neg.f64 z)))
(/.f64 (.f64 x #s(literal -1 binary64)) (.f64 z (neg.f64 z)))
(/.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (neg.f64 z) (neg.f64 z)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x)) (neg.f64 z))
(pow.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) z) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal -1 binary64))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 z #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 z #s(literal -2 binary64)))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
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(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64)))))
(*.f64 x (pow.f64 z #s(literal -2 binary64)))
(exp.f64 (log.f64 (*.f64 x (pow.f64 z #s(literal -2 binary64)))))
(*.f64 x (pow.f64 z #s(literal -2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 z #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (pow.f64 z #s(literal -2 binary64)))

eval137.0ms (1.3%)

Compiler: Compiled 12861 to 2289 computations (82.2% saved)

prune117.0ms (1.1%)

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	640	7	647
Fresh	4	6	10
Picked	4	1	5
Done	1	3	4
Total	649	17	666

Accuracy

99.6%

Counts

666 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.8%	(pow.f64 (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
	31.9%	(pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))
✓	72.0%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
	34.9%	(/.f64 x (*.f64 #s(literal 2 binary64) (/.f64 y x)))
	32.1%	(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64))))
	34.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
	34.9%	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
✓	32.1%	(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
	53.5%	(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64))) (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64)))
	31.8%	(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (/.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
✓	34.9%	(.f64 x (/.f64 x (.f64 y #s(literal 2 binary64))))
	59.5%	(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (pow.f64 (/.f64 (sqrt.f64 x) z) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) y)))))
	54.0%	(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 z (/.f64 z y))))
	59.5%	(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) #s(literal -1 binary64)) (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y)))))
	64.7%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)) (fma.f64 (/.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) (/.f64 #s(literal -1 binary64) y)))))
	35.7%	(.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) y)))))
✓	32.5%	(*.f64 #s(literal 1/2 binary64) y)

Compiler

Compiled 825 to 343 computations (58.4% saved)

regimes83.0ms (0.8%)

Counts

41 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) y)
(.f64 x (/.f64 x (.f64 y #s(literal 2 binary64))))
(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
(/.f64 x (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 y y) (*.f64 z z))) y))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) #s(literal -1 binary64)) (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y)))))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 1/2 binary64))))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 z (/.f64 z y))))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 y #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) y)))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (pow.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)) (fma.f64 (/.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) (/.f64 #s(literal -1 binary64) y)))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (/.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (pow.f64 (/.f64 (sqrt.f64 x) z) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) y)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) (/.f64 #s(literal -1 binary64) y)))))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64))) (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (pow.f64 (.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (pow.f64 (/.f64 (sqrt.f64 x) z) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))

Outputs

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

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

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

Calls

6 calls:

23.0ms	x
12.0ms	z
11.0ms	(*.f64 z z)
11.0ms	y
11.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
78.2%	2	`x`
88.4%	3	`y`
89.3%	3	`z`
81.9%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
78.2%	2	`(*.f64 x x)`
89.3%	3	`(*.f64 z z)`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes23.0ms (0.2%)

Counts

36 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) y)
(.f64 x (/.f64 x (.f64 y #s(literal 2 binary64))))
(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
(/.f64 x (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 y y) (*.f64 z z))) y))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) #s(literal -1 binary64)) (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y)))))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 1/2 binary64))))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 z (/.f64 z y))))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 y #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) y)))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (pow.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)) (fma.f64 (/.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) (/.f64 #s(literal -1 binary64) y)))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (/.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (pow.f64 (/.f64 (sqrt.f64 x) z) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) y)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) (/.f64 #s(literal -1 binary64) y)))))
(.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64))) (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64)))

Outputs

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

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

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

Calls

2 calls:

10.0ms	z
10.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
89.3%	3	`z`
89.3%	3	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes92.0ms (0.9%)

Counts

34 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) y)
(.f64 x (/.f64 x (.f64 y #s(literal 2 binary64))))
(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
(/.f64 x (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 y y) (*.f64 z z))) y))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) #s(literal -1 binary64)) (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y)))))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 1/2 binary64))))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 z (/.f64 z y))))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 y #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) y)))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (pow.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)) (fma.f64 (/.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) (/.f64 #s(literal -1 binary64) y)))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (/.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (pow.f64 (/.f64 (sqrt.f64 x) z) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) y)))))

Outputs

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

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

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

Calls

2 calls:

80.0ms	z
9.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
89.2%	3	`z`
89.2%	3	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes27.0ms (0.3%)

Counts

29 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) y)
(.f64 x (/.f64 x (.f64 y #s(literal 2 binary64))))
(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
(/.f64 x (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 y y) (*.f64 z z))) y))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) #s(literal -1 binary64)) (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y)))))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 1/2 binary64))))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 z (/.f64 z y))))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (sqrt.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 y #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) y)))))
(.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (pow.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))

Outputs

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

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

(*.f64 #s(literal 1/2 binary64) y)

Calls

3 calls:

9.0ms	(*.f64 z z)
8.0ms	z
8.0ms	y

Results

Accuracy	Segments	Branch
88.3%	3	`y`
80.5%	2	`(*.f64 z z)`
80.5%	2	`z`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes7.0ms (0.1%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
86.1%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
84.9%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Counts

7 → 4

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
64.1%	4	`x`
61.4%	3	`(*.f64 x x)`
56.9%	3	`z`
54.8%	3	`y`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	z
3.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
37.6%	2	`z`
55.1%	2	`(*.f64 x x)`
55.1%	2	`x`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes5.0ms (0%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
55.1%	2	`x`
55.1%	2	`(*.f64 x x)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) y)

Outputs
(*.f64 #s(literal 1/2 binary64) y)

Calls

3 calls:

1.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
32.5%	1	`z`
32.5%	1	`y`
32.5%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.697042265364934e+303	+inf
0.0ms	1.4798688951386789e-136	2.5330438635050774e-114

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.697042265364934e+303	+inf
0.0ms	1.4798688951386789e-136	2.5330438635050774e-114

Compiler

Compiled 21 to 17 computations (19% saved)

bsearch35.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
19.0ms	2.1701327233637214e+161	4.963935108552141e+167
13.0ms	1.2164986211001963e-68	1.5915539147339865e-57

Results

24.0ms

240×

valid

Compiler

Compiled 831 to 533 computations (35.9% saved)

Precisions

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

ival-mult: 7.0ms (52.6% of total)

ival-div: 2.0ms (15% of total)

ival-add: 2.0ms (15% of total)

ival-sub: 1.0ms (7.5% of total)

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

const: 0.0ms (0% of total)

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

bsearch36.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.7267654114522474e+149	3.4904072035526743e+158
15.0ms	4.964992988829787e-241	1.2754206390880329e-239

Results

25.0ms

256×

valid

Compiler

Compiled 540 to 359 computations (33.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 9.0ms (61% of total)

ival-div: 2.0ms (13.6% of total)

ival-sub: 1.0ms (6.8% of total)

ival-true: 1.0ms (6.8% of total)

ival-add: 1.0ms (6.8% of total)

const: 0.0ms (0% of total)

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

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.7267654114522474e+149	3.4904072035526743e+158

Results

13.0ms

144×

valid

Compiler

Compiled 246 to 170 computations (30.9% saved)

Precisions

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

ival-mult: 4.0ms (56.9% of total)

ival-sub: 1.0ms (14.2% of total)

ival-div: 1.0ms (14.2% of total)

ival-add: 1.0ms (14.2% of total)

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

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.7267654114522474e+149	3.4904072035526743e+158

Results

14.0ms

144×

valid

Compiler

Compiled 255 to 179 computations (29.8% saved)

Precisions

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

ival-mult: 4.0ms (55.3% of total)

ival-sub: 1.0ms (13.8% of total)

ival-div: 1.0ms (13.8% of total)

ival-add: 1.0ms (13.8% of total)

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

const: 0.0ms (0% of total)

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

bsearch47.0ms (0.5%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	2.9668862192215132e+72	4.48118328321964e+73
12.0ms	4.1272720733475996e-167	2.106428442902825e-166
17.0ms	1.5212742752462743e-278	6.758326660222215e-274

Results

30.0ms

320×

valid

Compiler

Compiled 485 to 389 computations (19.8% saved)

Precisions

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

ival-mult: 11.0ms (64% of total)

ival-sub: 2.0ms (11.6% of total)

ival-div: 2.0ms (11.6% of total)

ival-add: 2.0ms (11.6% of total)

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

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	7.266174900133763e+55	2.918900108650406e+61

Results

14.0ms

144×

valid

Compiler

Compiled 183 to 143 computations (21.9% saved)

Precisions

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

ival-mult: 4.0ms (47.5% of total)

ival-add: 2.0ms (23.8% of total)

ival-sub: 1.0ms (11.9% of total)

ival-div: 1.0ms (11.9% of total)

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

const: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.27972976793339e+111	8.519977844279354e+122

Compiler

Compiled 21 to 17 computations (19% saved)

simplify33.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

29×	`*-commutative`
14×	`+-commutative`
11×	`sub-neg`
10×	`neg-sub0`
9×	`neg-mul-1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	99	1449
1	137	1449
2	154	1449
3	173	1449
4	188	1449
5	198	1441
6	207	1441
7	208	1441

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 z z) #s(literal 5237424972633827/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 (.f64 z z) #s(literal 9999999999999999392535525055364621860040287220117324953190771571323204563013233902843309257440507748436856118056162172578717193742636030530235798840866882774987301441682011041067710253162440905843719802548551599076639682550821832659549112269607949805346034918662572406407604380845959862074904348138143744 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y))))) (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) #s(literal -1 binary64)) (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y)))))))
(if (<=.f64 (.f64 z z) #s(literal 5237424972633827/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 (.f64 z z) #s(literal 9999999999999999392535525055364621860040287220117324953190771571323204563013233902843309257440507748436856118056162172578717193742636030530235798840866882774987301441682011041067710253162440905843719802548551599076639682550821832659549112269607949805346034918662572406407604380845959862074904348138143744 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) (/.f64 #s(literal -1 binary64) y))))) (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) #s(literal -1 binary64)) (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) y)))))))
(if (<=.f64 z #s(literal 5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (if (<=.f64 z #s(literal 219999999999999998314501153599017611124448897482331570857276437336480108253283025509855686399989454667653431280625896114435571466861334772388084391021356884426752 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)) (fma.f64 (/.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) (/.f64 #s(literal -1 binary64) y))))) (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x z)) #s(literal -1 binary64)) (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y)))))))
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(if (<=.f64 x #s(literal 200000000000000018380567016286756476168068919431369064448 binary64)) (.f64 #s(literal 1/2 binary64) y) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))
(if (<=.f64 (.f64 x x) #s(literal 9999999999999999301199346926304397284673331501389768492615896861647229832830913903761963586894254467577228034048 binary64)) (.f64 #s(literal 1/2 binary64) y) (.f64 x (/.f64 x (.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) y)

Outputs
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(if (<=.f64 x #s(literal 6985441083371519/19958403095347198116563727130368385660674512604354575415025472424372118918689640657849579654926357010893424468441924952439724379883935936607391717982848314203200056729510856765175377214443629871826533567445439239933308104551208703888888552684480441575071209068757560416423584952303440099278848 binary64)) (.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) y))))) (if (<=.f64 x #s(literal 1726198476654493/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 binary64)) (.f64 y #s(literal 1/2 binary64)) (if (<=.f64 x #s(literal 3299999999999999991089462438772480862270417153483434706974355719337279488 binary64)) (.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) y))))) (.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))))
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(if (<=.f64 x #s(literal 6985441083371519/19958403095347198116563727130368385660674512604354575415025472424372118918689640657849579654926357010893424468441924952439724379883935936607391717982848314203200056729510856765175377214443629871826533567445439239933308104551208703888888552684480441575071209068757560416423584952303440099278848 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z (neg.f64 (/.f64 #s(literal 1 binary64) y))))) (if (<=.f64 x #s(literal 1726198476654493/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 binary64)) (.f64 y #s(literal 1/2 binary64)) (if (<=.f64 x #s(literal 3299999999999999991089462438772480862270417153483434706974355719337279488 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z (neg.f64 (/.f64 #s(literal 1 binary64) y))))) (.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))))
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(if (<=.f64 x #s(literal 200000000000000018380567016286756476168068919431369064448 binary64)) (.f64 #s(literal 1/2 binary64) y) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))
(if (<=.f64 x #s(literal 200000000000000018380567016286756476168068919431369064448 binary64)) (.f64 y #s(literal 1/2 binary64)) (.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 (.f64 x x) #s(literal 9999999999999999301199346926304397284673331501389768492615896861647229832830913903761963586894254467577228034048 binary64)) (.f64 #s(literal 1/2 binary64) y) (.f64 x (/.f64 x (.f64 y #s(literal 2 binary64)))))
(if (<=.f64 (.f64 x x) #s(literal 9999999999999999301199346926304397284673331501389768492615896861647229832830913903761963586894254467577228034048 binary64)) (.f64 y #s(literal 1/2 binary64)) (.f64 x (/.f64 x (.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))

soundness1.6s (16%)

Rules

991×	`fmm-def`
911×	`fmm-def`
684×	`div-sub`
578×	`sub-neg`
563×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	594
1	659	567
0	1100	39706
1	2567	36788
2	7876	36666
0	47	672
1	164	660
2	533	660
3	2454	660
4	7758	660
0	42	398
1	683	391
0	733	30256
1	1723	28132
2	7677	28090

Stop Event

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

Compiler

Compiled 1521 to 432 computations (71.6% saved)

preprocess371.0ms (3.6%)

Remove

(negabs y)

(abs z)

(abs x)

Compiler

Compiled 1718 to 680 computations (60.4% saved)

analyze70.0ms (0.7%)

sample1.2s (11.9%)

preprocess113.0ms (1.1%)

explain157.0ms (1.5%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify58.0ms (0.6%)

localize83.0ms (0.8%)

series32.0ms (0.3%)

rewrite309.0ms (3%)

simplify343.0ms (3.3%)

eval318.0ms (3.1%)

prune75.0ms (0.7%)

simplify85.0ms (0.8%)

localize248.0ms (2.4%)

series55.0ms (0.5%)

rewrite247.0ms (2.4%)

simplify593.0ms (5.7%)

eval245.0ms (2.4%)

prune122.0ms (1.2%)

simplify97.0ms (0.9%)

localize264.0ms (2.6%)

series349.0ms (3.4%)

rewrite132.0ms (1.3%)

simplify538.0ms (5.2%)

eval221.0ms (2.1%)

prune256.0ms (2.5%)

simplify80.0ms (0.8%)

localize205.0ms (2%)

series331.0ms (3.2%)

rewrite209.0ms (2%)

simplify501.0ms (4.9%)

eval137.0ms (1.3%)

prune117.0ms (1.1%)

regimes83.0ms (0.8%)

regimes23.0ms (0.2%)

regimes92.0ms (0.9%)

regimes27.0ms (0.3%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes13.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch35.0ms (0.3%)

bsearch36.0ms (0.4%)

bsearch21.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch47.0ms (0.5%)

bsearch20.0ms (0.2%)

bsearch0.0ms (0%)

simplify33.0ms (0.3%)

soundness1.6s (16%)

preprocess371.0ms (3.6%)

end0.0ms (0%)

Profiling