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

analyze57.0ms (0.6%)

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 19 to 12 computations (36.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 17.0ms (64.8% of total)

ival-sub: 3.0ms (11.4% of total)

ival-add: 3.0ms (11.4% of total)

ival-div: 2.0ms (7.6% of total)

const: 1.0ms (3.8% of total)

backward-pass: 0.0ms (0% of total)

sample1.4s (13.7%)

Results

998.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 753.0ms

ival-mult: 588.0ms (78% of total)

ival-div: 66.0ms (8.8% of total)

ival-sub: 43.0ms (5.7% of total)

ival-add: 43.0ms (5.7% of total)

const: 11.0ms (1.5% of total)

backward-pass: 2.0ms (0.3% of total)

Bogosity

preprocess117.0ms (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)

explain102.0ms (1%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
70	-	1	(4.235147344649367e-264 2.5222202295016775e-161 5.857506680624284e-176)	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
33	-	0	-	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
0	-	0	-	`x`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`y`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	0	-	`(*.f64 y #s(literal 2 binary64))`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`z`

Results

54.0ms

512×

valid

Compiler

Compiled 124 to 35 computations (71.8% saved)

Precisions

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

ival-mult: 15.0ms (59.9% of total)

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

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

ival-sub: 2.0ms (8% of total)

const: 1.0ms (4% of total)

backward-pass: 0.0ms (0% of total)

eval58.0ms (0.6%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.1%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
▶	69.9%	(.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)

simplify59.0ms (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)

localize61.0ms (0.6%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	88.4%	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
✓	accuracy	74.6%	(/.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	93.2%	(-.f64 (.f64 y y) (.f64 z z))
✓	accuracy	74.6%	(/.f64 (fma.f64 x x (-.f64 (.f64 y y) (.f64 z z))) y)

Results

40.0ms

256×

valid

Compiler

Compiled 109 to 17 computations (84.4% saved)

Precisions

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

ival-mult: 9.0ms (45.6% of total)

ival-div: 4.0ms (20.3% of total)

ival-add: 4.0ms (20.3% of total)

ival-sub: 2.0ms (10.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series24.0ms (0.2%)

Counts

10 → 252

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))>

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

Calls

63 calls:

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

rewrite367.0ms (3.6%)

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	299
1	353	274
2	5104	274

Stop Event

1×	node limit

Counts

10 → 335

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))

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))
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(/.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))))

simplify426.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

709×	`fmm-def`
452×	`associate-r`
376×	`associate-l`
283×	`times-frac`
222×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	669	28109
1	1590	26137
2	7114	26095

Stop Event

1×	node limit

Counts

587 → 417

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

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) (fma.f64 x x (-.f64 (pow.f64 y #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) (fma.f64 x x (-.f64 (pow.f64 y #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) (fma.f64 x x (-.f64 (pow.f64 y #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)))
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(-.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))))
(fma.f64 x x (-.f64 (pow.f64 y #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))))
(fma.f64 x x (-.f64 (pow.f64 y #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))))
(fma.f64 x x (-.f64 (pow.f64 y #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))))
(fma.f64 x x (-.f64 (pow.f64 y #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)))

eval52.0ms (0.5%)

Compiler: Compiled 9148 to 1561 computations (82.9% saved)

prune142.0ms (1.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	434	10	444
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	435	11	446

Accuracy

94.8%

Counts

446 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.0%	(/.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 y y)) (.f64 z z)) (*.f64 y #s(literal 2 binary64)))
	66.9%	(/.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)))
▶	66.5%	(/.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)))
✓	67.1%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
▶	31.9%	(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)
▶	67.1%	(/.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)))))
	30.3%	(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
	54.0%	(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
▶	81.5%	(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
	57.0%	(.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)))))
▶	35.2%	(*.f64 #s(literal 1/2 binary64) y)

Compiler

Compiled 342 to 229 computations (33% saved)

simplify53.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
✓	cost-diff	6336	(/.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)))))
✓	cost-diff	0	(cbrt.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 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 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 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
✓	cost-diff	0	(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))

Rules

804×	`distribute-lft-in`
740×	`distribute-rgt-in`
541×	`fma-define`
387×	`times-frac`
339×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	666
1	79	626
2	183	626
3	453	626
4	1213	626
5	3337	626

Stop Event

1×	node limit

Calls

Call 1

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

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

localize203.0ms (2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
✓	accuracy	99.8%	(/.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)))))
✓	accuracy	88.4%	(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓	accuracy	73.7%	(/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
✓	accuracy	99.1%	(cbrt.f64 (*.f64 y #s(literal 2 binary64)))
✓	accuracy	98.9%	(pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))
	accuracy	88.4%	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
✓	accuracy	74.6%	(/.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)))
✓	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	86.8%	(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
✓	accuracy	100.0%	(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
✓	accuracy	93.0%	(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓	accuracy	87.0%	(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)

Results

100.0ms

256×

valid

Compiler

Compiled 216 to 31 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-pow: 20.0ms (32.5% of total)

ival-div: 18.0ms (29.2% of total)

ival-mult: 12.0ms (19.5% of total)

ival-sub: 5.0ms (8.1% of total)

ival-add: 3.0ms (4.9% of total)

ival-cbrt: 2.0ms (3.2% of total)

ival-sqrt: 2.0ms (3.2% of total)

const: 1.0ms (1.6% of total)

backward-pass: 0.0ms (0% of total)

series107.0ms (1.1%)

Counts

15 → 345

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))>
#<alt (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (/.f64 (-.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)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<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 z #s(literal 2 binary64))>
#<alt (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))>
#<alt (/.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)))>
#<alt (cbrt.f64 (*.f64 y #s(literal 2 binary64)))>
#<alt (/.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)))))>
#<alt (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))>

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

96 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	(pow (cbrt (* y 2)) 3)
4.0ms	z	@	0	(* 1/2 (+ y (/ (- (pow x 2) (pow z 2)) y)))
3.0ms	y	@	-inf	(/ (- (+ (* x x) (* y y)) (* z z)) (pow (cbrt (* y 2)) 3))
2.0ms	y	@	-inf	(pow (cbrt (* y 2)) 3)
2.0ms	y	@	inf	(cbrt (* y 2))

rewrite243.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

249×	`log1p-expm1-u`
249×	`expm1-log1p-u`
241×	`add-cube-cbrt`
239×	`add-exp-log`
239×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	430
1	607	430

Stop Event

1×	node limit

Counts

15 → 492

Calls

Call 1

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

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

simplify484.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

721×	`times-frac`
331×	`fma-define`
277×	`*-commutative`
274×	`associate-*r/`
218×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1219	41767
1	3020	39915

Stop Event

1×	node limit

Counts

837 → 750

Calls

Call 1

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

eval149.0ms (1.5%)

Compiler: Compiled 16857 to 2839 computations (83.2% saved)

prune244.0ms (2.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	798	8	806
Fresh	2	3	5
Picked	3	2	5
Done	1	0	1
Total	804	13	817

Accuracy

98.3%

Counts

817 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.9%	(/.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)))
✓	66.5%	(/.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)))
	66.9%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))
▶	31.9%	(/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y)
	30.3%	(/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
▶	35.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
▶	31.9%	(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
	30.3%	(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
	35.4%	(.f64 z (.f64 z (/.f64 #s(literal -1/2 binary64) y)))
▶	88.2%	(.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (.f64 (+.f64 x z) (-.f64 x z)) y)))
	57.0%	(.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)))))
✓	35.2%	(*.f64 #s(literal 1/2 binary64) y)
▶	32.0%	(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) y)))

Compiler

Compiled 331 to 225 computations (32% saved)

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(log.f64 (*.f64 #s(literal 1/2 binary64) y))
✓	cost-diff	12800	(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) y)))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) y)
	cost-diff	0	(pow.f64 z #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
	cost-diff	-6336	(*.f64 z z)
✓	cost-diff	-6336	(.f64 (.f64 z z) #s(literal -1/2 binary64))
✓	cost-diff	-6336	(/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	-6272	(+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
✓	cost-diff	-6272	(.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (.f64 (+.f64 x z) (-.f64 x z)) y)))
✓	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(+.f64 x z)

Rules

523×	`unsub-neg`
495×	`distribute-lft-in`
445×	`associate-r`
421×	`distribute-neg-out`
419×	`fmm-def`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	31	394
1	57	386
2	108	386
3	241	386
4	665	386
5	2009	386
6	4246	380

Stop Event

1×	node limit

Calls

Call 1

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

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

localize111.0ms (1.1%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(log.f64 (*.f64 #s(literal 1/2 binary64) y))
✓	accuracy	90.9%	(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) y)))
	accuracy	100.0%	(pow.f64 z #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) y)
✓	accuracy	86.8%	(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
✓	accuracy	100.0%	(.f64 (.f64 z z) #s(literal -1/2 binary64))
	accuracy	100.0%	(*.f64 z z)
✓	accuracy	86.8%	(/.f64 (.f64 (.f64 z z) #s(literal -1/2 binary64)) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(*.f64 (+.f64 x z) (-.f64 x z))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (.f64 (+.f64 x z) (-.f64 x z)) y)))
✓	accuracy	100.0%	(+.f64 y (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
✓	accuracy	87.0%	(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)

Results

78.0ms

256×

valid

Compiler

Compiled 114 to 25 computations (78.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 13.0ms (32.7% of total)

ival-div: 9.0ms (22.7% of total)

ival-pow: 6.0ms (15.1% of total)

ival-exp: 3.0ms (7.6% of total)

ival-add: 3.0ms (7.6% of total)

ival-log: 3.0ms (7.6% of total)

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

const: 1.0ms (2.5% of total)

backward-pass: 0.0ms (0% of total)

series196.0ms (1.9%)

Counts

14 → 255

Calls

Call 1

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

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

Calls

75 calls:

Time	Variable		Point	Expression
151.0ms	y	@	0	(log (* 1/2 y))
13.0ms	y	@	-inf	(log (* 1/2 y))
6.0ms	y	@	inf	(log (* 1/2 y))
2.0ms	z	@	0	(* (* z z) -1/2)
1.0ms	x	@	0	(+ y (/ (* (+ x z) (- x z)) y))

rewrite246.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1236×	`log1p-expm1-u`
180×	`expm1-log1p-u`
176×	`add-cube-cbrt`
175×	`add-exp-log`
175×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	321
1	447	297
2	5904	297

Stop Event

1×	node limit

Counts

14 → 495

Calls

Call 1

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

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

simplify253.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

604×	`fma-define`
448×	`times-frac`
364×	`distribute-lft-in`
342×	`distribute-rgt-in`
264×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1151	27211
1	2885	24708

Stop Event

1×	node limit

Counts

750 → 714

Calls

Call 1

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

Outputs
z
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z x)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 z x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 z x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 z x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))
x
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))
z
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64)) (neg.f64 z))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64)) (neg.f64 z))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z x)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
x
(+.f64 x (*.f64 #s(literal -1 binary64) z))
(-.f64 x z)
(+.f64 x (*.f64 #s(literal -1 binary64) z))
(-.f64 x z)
(+.f64 x (*.f64 #s(literal -1 binary64) z))
(-.f64 x z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))
(*.f64 z (+.f64 (/.f64 x z) #s(literal -1 binary64)))
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))
(*.f64 z (+.f64 (/.f64 x z) #s(literal -1 binary64)))
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))
(*.f64 z (+.f64 (/.f64 x z) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 (neg.f64 z) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(*.f64 z (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z))))
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(/.f64 (.f64 (+.f64 z x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 x x (.f64 z (+.f64 z x))))
(/.f64 (.f64 (-.f64 x z) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 x x (.f64 z (-.f64 z x))))
(.f64 (-.f64 x z) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x x (.f64 z (-.f64 z x)))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (-.f64 x z) (fma.f64 x x (.f64 z (-.f64 z x)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 x z)) (fma.f64 x x (.f64 z (+.f64 x z))))
(.f64 (+.f64 z x) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x x (.f64 z (+.f64 z x)))))
(/.f64 (.f64 (+.f64 z x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 x x (.f64 z (+.f64 z x))))
(pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (.f64 x (+.f64 x (.f64 #s(literal 0 binary64) z))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (.f64 x (+.f64 x (.f64 #s(literal 0 binary64) z))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (.f64 x (+.f64 x (.f64 #s(literal 0 binary64) z))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (.f64 x (+.f64 x (.f64 #s(literal 0 binary64) z))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (.f64 x (+.f64 x (.f64 #s(literal 0 binary64) z))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (.f64 x (+.f64 x (.f64 #s(literal 0 binary64) z))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (.f64 x (+.f64 x (.f64 #s(literal 0 binary64) z))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 (-.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z x) #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 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (pow.f64 (-.f64 x z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (.f64 x (+.f64 x (.f64 #s(literal 0 binary64) z))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (.f64 x (+.f64 x (.f64 #s(literal 0 binary64) z))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (.f64 x (+.f64 x (.f64 #s(literal 0 binary64) z))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 x x (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (.f64 x (+.f64 x (.f64 #s(literal 0 binary64) z))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))

eval198.0ms (1.9%)

Compiler: Compiled 12878 to 2796 computations (78.3% saved)

prune116.0ms (1.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	751	9	760
Fresh	6	0	6
Picked	4	1	5
Done	1	1	2
Total	762	11	773

Accuracy

100.0%

Counts

773 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	35.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
	31.9%	(.f64 (.f64 z z) (/.f64 #s(literal -1/2 binary64) y))
▶	35.4%	(.f64 z (/.f64 (.f64 z #s(literal -1/2 binary64)) y))
	86.3%	(.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) (pow.f64 y #s(literal 2 binary64)))))))
▶	99.9%	(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y))
▶	72.0%	(.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (.f64 z (-.f64 x z)) y)))
	70.3%	(.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (.f64 x (-.f64 x z)) y)))
	99.9%	(.f64 #s(literal 1/2 binary64) (+.f64 y (.f64 (/.f64 (-.f64 x z) y) (+.f64 x z))))
▶	99.9%	(.f64 #s(literal 1/2 binary64) (+.f64 y (.f64 (-.f64 x z) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y)))))
▶	65.9%	(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)))
✓	35.2%	(*.f64 #s(literal 1/2 binary64) y)

Compiler

Compiled 276 to 182 computations (34.1% saved)

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(+.f64 x z)
	cost-diff	0	(-.f64 x z)
✓	cost-diff	128	(*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	128	(.f64 (-.f64 x z) (.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y)))
✓	cost-diff	-6272	(.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (.f64 z (-.f64 x z)) y)))
	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(*.f64 z (-.f64 x z))
✓	cost-diff	0	(/.f64 (*.f64 z (-.f64 x z)) y)
✓	cost-diff	0	(/.f64 (+.f64 z x) y)
	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)))
✓	cost-diff	0	(*.f64 z #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 z #s(literal -1/2 binary64)) y)
✓	cost-diff	0	(.f64 z (/.f64 (.f64 z #s(literal -1/2 binary64)) y))
✓	cost-diff	0	(/.f64 (-.f64 x z) y)
	cost-diff	0	(+.f64 x z)
✓	cost-diff	0	(fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y))

Rules

821×	`unsub-neg`
592×	`distribute-lft-in`
511×	`distribute-rgt-in`
277×	`associate-+l-`
274×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	743
1	84	735
2	205	735
3	682	735
4	2496	735
5	4883	735

Stop Event

1×	node limit

Calls

Call 1

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

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

localize201.0ms (2%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 y (.f64 (-.f64 x z) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y)))))
✓	accuracy	100.0%	(+.f64 y (.f64 (-.f64 x z) (.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y))))
✓	accuracy	99.8%	(.f64 (-.f64 x z) (.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y)))
✓	accuracy	99.7%	(*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(*.f64 z (-.f64 x z))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (.f64 z (-.f64 x z)) y)))
✓	accuracy	100.0%	(+.f64 y (/.f64 (*.f64 z (-.f64 x z)) y))
✓	accuracy	88.3%	(/.f64 (*.f64 z (-.f64 x z)) y)
✓	accuracy	100.0%	(+.f64 z x)
✓	accuracy	100.0%	(/.f64 (+.f64 z x) y)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)))
✓	accuracy	99.8%	(*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))
✓	accuracy	100.0%	(/.f64 (*.f64 z #s(literal -1/2 binary64)) y)
✓	accuracy	100.0%	(*.f64 z #s(literal -1/2 binary64))
✓	accuracy	99.8%	(.f64 z (/.f64 (.f64 z #s(literal -1/2 binary64)) y))
	accuracy	100.0%	(+.f64 x z)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y))
✓	accuracy	100.0%	(/.f64 (-.f64 x z) y)
✓	accuracy	99.9%	(fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)

Results

165.0ms

256×

valid

Compiler

Compiled 195 to 29 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-div: 96.0ms (76.7% of total)

ival-mult: 21.0ms (16.8% of total)

ival-add: 7.0ms (5.6% of total)

ival-sub: 1.0ms (0.8% of total)

const: 1.0ms (0.8% of total)

backward-pass: 0.0ms (0% of total)

series69.0ms (0.7%)

Counts

18 → 552

Calls

Call 1

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

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

Calls

144 calls:

Time	Variable		Point	Expression
14.0ms	z	@	0	(* (- x z) (/ (+ z x) y))
2.0ms	z	@	-inf	(/ (- x z) y)
2.0ms	z	@	inf	(* 1/2 (+ y (/ (* z (- x z)) y)))
1.0ms	x	@	-inf	(/ (* z (- x z)) y)
1.0ms	y	@	0	(/ (* z (- x z)) y)

rewrite166.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

268×	`associate-r`
247×	`add-cube-cbrt`
246×	`log1p-expm1-u`
246×	`expm1-log1p-u`
244×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	601
1	595	582

Stop Event

1×	node limit

Counts

18 → 552

Calls

Call 1

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

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

simplify503.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

699×	`fma-define`
560×	`times-frac`
472×	`distribute-lft-in`
363×	`*-commutative`
183×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1381	52363
1	3772	47256

Stop Event

1×	node limit

Counts

1104 → 917

Calls

Call 1

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

Outputs
(.f64 #s(literal 1/2 binary64) (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)))) (.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x (*.f64 #s(literal 0 binary64) (/.f64 z y))) (+.f64 y (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 0 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) y)) (.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 x y)))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 0 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) y)) (.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 x y)))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 0 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (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 (.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)) x)) (.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 #s(literal 0 binary64) (/.f64 z y)) x) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) x) (/.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 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)) x)) (.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 (neg.f64 (pow.f64 z #s(literal 2 binary64))) y)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (/.f64 z y)) x) (/.f64 #s(literal 1/2 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 (/.f64 #s(literal 0 binary64) x) (/.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 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)) x)) (.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 (neg.f64 (pow.f64 z #s(literal 2 binary64))) y)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (/.f64 z y)) x) (/.f64 #s(literal 1/2 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 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1/2 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (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 (.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y)) x)) (.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 #s(literal 0 binary64) (/.f64 z y)) x) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) x))) x)) (*.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 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 (+.f64 y (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) y)) x))) x) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) x) #s(literal 0 binary64)) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 z y))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) x))) x)) (*.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 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 (+.f64 y (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) y)) x))) x) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) x) #s(literal 0 binary64)) x)))
(*.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 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x 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 (.f64 z (*.f64 #s(literal 0 binary64) (/.f64 x y))) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 z #s(literal 0 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) (.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (/.f64 x y))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 z (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) (.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (/.f64 x y))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 z (/.f64 (.f64 z #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 (.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) z)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 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 (.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 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) z))) (*.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 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) z))) (/.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)) (-.f64 (+.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 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) z))) (*.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 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) z))) (/.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 #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 (.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) z)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 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 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) z)) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)))) z)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
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(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y)
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(exp.f64 (log.f64 (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) y) y)))
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y)
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) y) y)) #s(literal 1 binary64)))
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y)
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) y) y)
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y)
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 x z) y)
(fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) y)
(fma.f64 #s(literal 1 binary64) y (/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) y))
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y)
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) y) y)
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y)
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (-.f64 x z) (+.f64 x z)) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (.f64 (-.f64 x z) (+.f64 x z)) y)) y)
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y)
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 y) (/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) y))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 y) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(fma.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 x z) (+.f64 x z)) y)) (sqrt.f64 (/.f64 (.f64 (-.f64 x z) (+.f64 x z)) y)) y)
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y)
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) y))
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y)
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(fma.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (/.f64 #s(literal 1 binary64) y) y)
(fma.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (/.f64 #s(literal 1 binary64) y) y)
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y) y)
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 x z) (+.f64 x z)) y)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 x z) (+.f64 x z)) y)) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(+.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.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) y) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) y)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(+.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) y)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) y) y)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 x z) (+.f64 x z)) y)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y)) (-.f64 (.f64 (pow.f64 (/.f64 (.f64 (-.f64 x z) (+.f64 x z)) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 x z) (+.f64 x z)) y))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))))))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y) #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))))))
(/.f64 (+.f64 (pow.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 x z) (+.f64 x z)) y)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 (pow.f64 (/.f64 (.f64 (-.f64 x z) (+.f64 x z)) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 x z) (+.f64 x z)) y))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))))))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y) #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y)) (.f64 (pow.f64 (/.f64 (.f64 (-.f64 x z) (+.f64 x z)) y) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 x z) (+.f64 x z)) y))))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(/.f64 (-.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64))) (.f64 (pow.f64 (/.f64 (.f64 (-.f64 x z) (+.f64 x z)) y) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 x z) (+.f64 x z)) y))))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) y) y)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) y) y))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) y) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) y) y))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) y) y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #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) (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) y) y)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) y) y)) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) y) y))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) y) y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) y) y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) y) y))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(fma.f64 #s(literal 1/2 binary64) y (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 x z) (+.f64 x z)) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(fma.f64 y #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 x z) (+.f64 x z)) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))

eval170.0ms (1.7%)

Compiler: Compiled 24088 to 4443 computations (81.6% saved)

prune511.0ms (5%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	1290	11	1301
Fresh	2	2	4
Picked	4	1	5
Done	0	2	2
Total	1296	16	1312

Accuracy

100.0%

Counts

1312 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.9%	(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) (/.f64 y (+.f64 x z)))
	35.4%	(/.f64 z (*.f64 (/.f64 y z) #s(literal -2 binary64)))
✓	35.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
	31.9%	(.f64 (.f64 z z) (/.f64 #s(literal -1/2 binary64) y))
✓	35.4%	(.f64 z (/.f64 (.f64 z #s(literal -1/2 binary64)) y))
	11.7%	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x z) y))
	99.9%	(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)) y))
	63.0%	(.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (.f64 z (neg.f64 z)) y)))
	43.0%	(.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (.f64 z x) y)))
	70.3%	(.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (.f64 x (-.f64 x z)) y)))
	78.7%	(.f64 #s(literal 1/2 binary64) (+.f64 y (.f64 (-.f64 x z) (/.f64 z y))))
	99.9%	(.f64 #s(literal 1/2 binary64) (+.f64 y (.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 x z))))))
	78.7%	(.f64 #s(literal 1/2 binary64) (+.f64 y (.f64 (-.f64 x z) (*.f64 z (/.f64 #s(literal 1 binary64) y)))))
	42.7%	(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x z) (/.f64 x y)))
	10.9%	(.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 z y)))
✓	35.2%	(*.f64 #s(literal 1/2 binary64) y)

Compiler

Compiled 643 to 281 computations (56.3% saved)

regimes127.0ms (1.2%)

Counts

40 → 1

Calls

Call 1

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

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

Calls

6 calls:

69.0ms	y
12.0ms	(*.f64 z z)
11.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
11.0ms	x
11.0ms	z

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
99.9%	1	`(*.f64 x x)`
99.9%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes52.0ms (0.5%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

6 calls:

9.0ms	y
8.0ms	z
8.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
8.0ms	x
8.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
99.9%	1	`(*.f64 x x)`
99.9%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes27.0ms (0.3%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	x
6.0ms	(*.f64 z z)
6.0ms	z
6.0ms	y

Results

Accuracy	Segments	Branch
91.0%	3	`x`
87.9%	2	`y`
91.0%	2	`z`
91.0%	2	`(*.f64 z z)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes22.0ms (0.2%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	x
5.0ms	y
5.0ms	z
4.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
87.9%	2	`y`
87.5%	2	`x`
78.7%	1	`z`
78.7%	1	`(*.f64 z z)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes11.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
83.1%	2	`x`
83.2%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes9.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
73.7%	3	`y`
80.7%	2	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes18.0ms (0.2%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
65.3%	3	`y`
62.8%	2	`z`
62.8%	2	`(*.f64 z z)`
63.3%	3	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes15.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
45.6%	3	`x`
57.2%	2	`z`
57.2%	2	`(*.f64 z z)`
55.5%	2	`y`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes3.0ms (0%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
57.2%	2	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes89.0ms (0.9%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
41.4%	2	`x`
41.1%	2	`y`
35.2%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
41.1%	2	`y`
40.5%	2	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Accuracy

Total -0.1b remaining (-0.1%)

Threshold costs -0.1b (-0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
35.2%	1	`x`
35.2%	1	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.382999246367879e-106	1.853177227683184e-89

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.4210686529883905e+33	6.472522204065495e+38

Results

12.0ms

144×

valid

Compiler

Compiled 294 to 196 computations (33.3% saved)

Precisions

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

ival-mult: 4.0ms (58.1% of total)

ival-sub: 1.0ms (14.5% of total)

ival-div: 1.0ms (14.5% of total)

ival-add: 1.0ms (14.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch99.0ms (1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
98.0ms	9.97542732105853e+26	9.351387725018804e+30

Results

10.0ms

128×

valid

Compiler

Compiled 256 to 176 computations (31.3% saved)

Precisions

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

ival-mult: 4.0ms (64.2% of total)

ival-sub: 1.0ms (16% of total)

ival-div: 1.0ms (16% of total)

ival-add: 1.0ms (16% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.0964642425892404e+48	2.3239391639987353e+48

Results

10.0ms

80×

valid

Compiler

Compiled 159 to 111 computations (30.2% saved)

Precisions

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

ival-sub: 4.0ms (57.4% of total)

ival-mult: 2.0ms (28.7% of total)

ival-div: 1.0ms (14.4% of total)

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.5050658310031512e+82	1.1478341769894997e+86
13.0ms	6.1008994216974316e-120	2.939688999107647e-118

Results

21.0ms

240×

valid

Compiler

Compiled 336 to 247 computations (26.5% saved)

Precisions

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

ival-mult: 7.0ms (55.5% of total)

ival-div: 3.0ms (23.8% of total)

ival-sub: 1.0ms (7.9% of total)

ival-add: 1.0ms (7.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0631483162684406e+176	8.432666602177818e+179

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.031090838029531e+88	9.182955190012536e+89

Results

9.0ms

112×

valid

Compiler

Compiled 150 to 114 computations (24% saved)

Precisions

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

ival-mult: 3.0ms (53.6% of total)

ival-sub: 1.0ms (17.9% of total)

ival-div: 1.0ms (17.9% of total)

ival-add: 1.0ms (17.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.9325624463076048e+202	7.666312821976573e+204

Results

11.0ms

128×

valid

Compiler

Compiled 168 to 128 computations (23.8% saved)

Precisions

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

ival-mult: 4.0ms (66% of total)

ival-sub: 1.0ms (16.5% of total)

ival-div: 1.0ms (16.5% of total)

ival-add: 1.0ms (16.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	1.2365676901355085e-101	1.2988614669812366e-101

Results

1.0ms

16×

valid

Compiler

Compiled 42 to 30 computations (28.6% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify34.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative`
10×	`+-commutative`
5×	`sub-neg`
4×	`neg-sub0`
4×	`neg-mul-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	87	830
1	120	830
2	127	822
3	135	822
4	140	822
5	143	822
6	144	822

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y))
(.f64 #s(literal 1/2 binary64) (+.f64 y (.f64 (/.f64 (-.f64 x z) y) (+.f64 x z))))
(if (<=.f64 (.f64 z z) #s(literal 5164499756173817/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (.f64 x (-.f64 x z)) y))) (.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (/.f64 z y)))))
(if (<=.f64 y #s(literal 2449999999999999904705725570280849408 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))) (.f64 #s(literal 1/2 binary64) (+.f64 y (.f64 (-.f64 x z) (/.f64 z y)))))
(if (<=.f64 x #s(literal 1050000000000000006805107245056 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (.f64 z (neg.f64 z)) y))) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))))
(if (<=.f64 x #s(literal 1499999999999999984639126153007614336162066333696 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (.f64 z (neg.f64 z)) y))) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x z) (/.f64 x y))))
(if (<=.f64 y #s(literal 6586975938928937/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x z) (/.f64 x y))) (if (<=.f64 y #s(literal 2100000000000000186013752787204918582319097175748848304635034526890269856084206288896 binary64)) (.f64 z (/.f64 (.f64 z #s(literal -1/2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) y)))
(if (<=.f64 (.f64 z z) #s(literal 200000000000000001489796100414863978288398987716630774471928508262527970493563232052743975274781411681693120520556929256745086766561954636618113848223247767419307779472087842816 binary64)) (.f64 #s(literal 1/2 binary64) y) (.f64 z (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))
(if (<=.f64 z #s(literal 819999999999999970255408183764066098990031794997567212184153781792735133062995031508385792 binary64)) (.f64 #s(literal 1/2 binary64) y) (.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y))))
(if (<=.f64 x #s(literal 19499999999999999171846062362040392146817297335867015672749424693607333851582070815387491171255914367120563906292187089933096858363381849629412539735798932929384649770592912782344044260446428000489046016 binary64)) (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) y)))
(if (<=.f64 y #s(literal 8069530869021589/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 z y))) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)

Outputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y))
(.f64 #s(literal 1/2 binary64) (+.f64 y (.f64 (/.f64 (-.f64 x z) y) (+.f64 x z))))
(.f64 #s(literal 1/2 binary64) (+.f64 y (.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))))
(if (<=.f64 (.f64 z z) #s(literal 5164499756173817/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (.f64 x (-.f64 x z)) y))) (.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (-.f64 x z) (/.f64 z y)))))
(if (<=.f64 y #s(literal 2449999999999999904705725570280849408 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))) (.f64 #s(literal 1/2 binary64) (+.f64 y (.f64 (-.f64 x z) (/.f64 z y)))))
(if (<=.f64 y #s(literal 2449999999999999904705725570280849408 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))) (.f64 #s(literal 1/2 binary64) (+.f64 y (.f64 (-.f64 x z) (/.f64 z y)))))
(if (<=.f64 x #s(literal 1050000000000000006805107245056 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (.f64 z (neg.f64 z)) y))) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))))
(if (<=.f64 x #s(literal 1050000000000000006805107245056 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (.f64 z (neg.f64 z)) y))) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))))
(if (<=.f64 x #s(literal 1050000000000000006805107245056 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (.f64 z z) y))) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))))
(if (<=.f64 x #s(literal 1499999999999999984639126153007614336162066333696 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (.f64 z (neg.f64 z)) y))) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x z) (/.f64 x y))))
(if (<=.f64 x #s(literal 1499999999999999984639126153007614336162066333696 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (.f64 z z) y))) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x z) (/.f64 x y))))
(if (<=.f64 y #s(literal 6586975938928937/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x z) (/.f64 x y))) (if (<=.f64 y #s(literal 2100000000000000186013752787204918582319097175748848304635034526890269856084206288896 binary64)) (.f64 z (/.f64 (.f64 z #s(literal -1/2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) y)))
(if (<=.f64 (.f64 z z) #s(literal 200000000000000001489796100414863978288398987716630774471928508262527970493563232052743975274781411681693120520556929256745086766561954636618113848223247767419307779472087842816 binary64)) (.f64 #s(literal 1/2 binary64) y) (.f64 z (/.f64 (.f64 z #s(literal -1/2 binary64)) y)))
(if (<=.f64 z #s(literal 819999999999999970255408183764066098990031794997567212184153781792735133062995031508385792 binary64)) (.f64 #s(literal 1/2 binary64) y) (.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y))))
(if (<=.f64 x #s(literal 19499999999999999171846062362040392146817297335867015672749424693607333851582070815387491171255914367120563906292187089933096858363381849629412539735798932929384649770592912782344044260446428000489046016 binary64)) (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) y)))
(if (<=.f64 y #s(literal 8069530869021589/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 z y))) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)

soundness1.9s (18.8%)

Rules

1236×	`log1p-expm1-u`
709×	`fmm-def`
699×	`fma-define`
684×	`div-sub`
604×	`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
0	1151	27211
1	2885	24708
0	31	321
1	447	297
2	5904	297
0	37	430
1	607	430
0	669	28109
1	1590	26137
2	7114	26095
0	1381	52363
1	3772	47256
0	34	601
1	595	582

Stop Event

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

Compiler

Compiled 898 to 319 computations (64.5% saved)

preprocess457.0ms (4.5%)

Remove

(negabs y)

(abs z)

Compiler

Compiled 864 to 406 computations (53% saved)

analyze57.0ms (0.6%)

sample1.4s (13.7%)

preprocess117.0ms (1.1%)

explain102.0ms (1%)

eval58.0ms (0.6%)

prune1.0ms (0%)

simplify59.0ms (0.6%)

localize61.0ms (0.6%)

series24.0ms (0.2%)

rewrite367.0ms (3.6%)

simplify426.0ms (4.2%)

eval52.0ms (0.5%)

prune142.0ms (1.4%)

simplify53.0ms (0.5%)

localize203.0ms (2%)

series107.0ms (1.1%)

rewrite243.0ms (2.4%)

simplify484.0ms (4.7%)

eval149.0ms (1.5%)

prune244.0ms (2.4%)

simplify60.0ms (0.6%)

localize111.0ms (1.1%)

series196.0ms (1.9%)

rewrite246.0ms (2.4%)

simplify253.0ms (2.5%)

eval198.0ms (1.9%)

prune116.0ms (1.1%)

simplify61.0ms (0.6%)

localize201.0ms (2%)

series69.0ms (0.7%)

rewrite166.0ms (1.6%)

simplify503.0ms (4.9%)

eval170.0ms (1.7%)

prune511.0ms (5%)

regimes127.0ms (1.2%)

regimes52.0ms (0.5%)

regimes27.0ms (0.3%)

regimes22.0ms (0.2%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes18.0ms (0.2%)

regimes15.0ms (0.1%)

regimes3.0ms (0%)

regimes89.0ms (0.9%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch19.0ms (0.2%)

bsearch99.0ms (1%)

bsearch13.0ms (0.1%)

bsearch32.0ms (0.3%)

bsearch0.0ms (0%)

bsearch15.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch2.0ms (0%)

simplify34.0ms (0.3%)

soundness1.9s (18.8%)

preprocess457.0ms (4.5%)

end0.0ms (0%)

Profiling