Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, A

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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)

sample1.0s (12.7%)

Results

793.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 333.0ms

ival-add: 192.0ms (57.7% of total)

ival-mult: 132.0ms (39.7% of total)

const: 7.0ms (2.1% of total)

backward-pass: 2.0ms (0.6% of total)

Bogosity

preprocess216.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1324×	`fma-neg`
560×	`fma-define`
361×	`unsub-neg`
154×	`associate-+l-`
142×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	721
1	124	545
2	291	383
3	815	375
4	1776	375
5	2657	375
6	3410	375
7	3927	375
8	3994	375
9	3994	375
10	4609	375
11	4609	375

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (+.f64 (+.f64 (.f64 (neg.f64 x) y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (+.f64 (+.f64 (.f64 x (neg.f64 y)) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 (neg.f64 z) (neg.f64 z))) (.f64 (neg.f64 z) (neg.f64 z))) (.f64 (neg.f64 z) (neg.f64 z)))
(neg.f64 (+.f64 (+.f64 (+.f64 (.f64 (neg.f64 x) y) (.f64 z z)) (.f64 z z)) (.f64 z z)))
(neg.f64 (+.f64 (+.f64 (+.f64 (.f64 x (neg.f64 y)) (.f64 z z)) (.f64 z z)) (.f64 z z)))
(neg.f64 (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 (neg.f64 z) (neg.f64 z))) (.f64 (neg.f64 z) (neg.f64 z))) (.f64 (neg.f64 z) (neg.f64 z))))
(+.f64 (+.f64 (+.f64 (.f64 y x) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (+.f64 (+.f64 (.f64 z y) (.f64 x x)) (.f64 x x)) (.f64 x x))
(+.f64 (+.f64 (+.f64 (.f64 x z) (.f64 y y)) (.f64 y y)) (.f64 y y))

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (.f64 z z) (+.f64 (.f64 z z) (fma.f64 x y (*.f64 z z))))
(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (.f64 z z) (+.f64 (.f64 z z) (fma.f64 x y (*.f64 z z))))
(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
(+.f64 (+.f64 (+.f64 (.f64 (neg.f64 x) y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (.f64 z z) (+.f64 (.f64 z z) (fma.f64 x (neg.f64 y) (*.f64 z z))))
(fma.f64 z z (fma.f64 x (neg.f64 y) (.f64 #s(literal 2 binary64) (.f64 z z))))
(-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (.f64 z (.f64 z #s(literal 3 binary64))))
(+.f64 (+.f64 (+.f64 (.f64 x (neg.f64 y)) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (.f64 z z) (+.f64 (.f64 z z) (fma.f64 x (neg.f64 y) (*.f64 z z))))
(fma.f64 z z (fma.f64 x (neg.f64 y) (.f64 #s(literal 2 binary64) (.f64 z z))))
(-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (.f64 z (.f64 z #s(literal 3 binary64))))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 (neg.f64 z) (neg.f64 z))) (.f64 (neg.f64 z) (neg.f64 z))) (.f64 (neg.f64 z) (neg.f64 z)))
(+.f64 (.f64 z z) (+.f64 (.f64 z z) (fma.f64 x y (*.f64 z z))))
(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
(neg.f64 (+.f64 (+.f64 (+.f64 (.f64 (neg.f64 x) y) (.f64 z z)) (.f64 z z)) (.f64 z z)))
(neg.f64 (+.f64 (.f64 z z) (+.f64 (.f64 z z) (fma.f64 x (neg.f64 y) (*.f64 z z)))))
(neg.f64 (fma.f64 z z (fma.f64 x (neg.f64 y) (.f64 #s(literal 2 binary64) (.f64 z z)))))
(-.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(fma.f64 x y (.f64 z (.f64 z #s(literal -3 binary64))))
(neg.f64 (+.f64 (+.f64 (+.f64 (.f64 x (neg.f64 y)) (.f64 z z)) (.f64 z z)) (.f64 z z)))
(neg.f64 (+.f64 (.f64 z z) (+.f64 (.f64 z z) (fma.f64 x (neg.f64 y) (*.f64 z z)))))
(neg.f64 (fma.f64 z z (fma.f64 x (neg.f64 y) (.f64 #s(literal 2 binary64) (.f64 z z)))))
(-.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(fma.f64 x y (.f64 z (.f64 z #s(literal -3 binary64))))
(neg.f64 (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 (neg.f64 z) (neg.f64 z))) (.f64 (neg.f64 z) (neg.f64 z))) (.f64 (neg.f64 z) (neg.f64 z))))
(neg.f64 (+.f64 (.f64 z z) (+.f64 (.f64 z z) (fma.f64 x y (*.f64 z z)))))
(neg.f64 (fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))))
(neg.f64 (fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64))))
(-.f64 (.f64 z (.f64 z #s(literal -3 binary64))) (*.f64 x y))
(+.f64 (+.f64 (+.f64 (.f64 y x) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (.f64 z z) (+.f64 (.f64 z z) (fma.f64 x y (*.f64 z z))))
(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
(+.f64 (+.f64 (+.f64 (.f64 z y) (.f64 x x)) (.f64 x x)) (.f64 x x))
(+.f64 (.f64 x x) (+.f64 (.f64 x x) (fma.f64 z y (*.f64 x x))))
(fma.f64 x x (fma.f64 y z (.f64 #s(literal 2 binary64) (.f64 x x))))
(fma.f64 y z (.f64 #s(literal 3 binary64) (.f64 x x)))
(fma.f64 x (.f64 #s(literal 3 binary64) x) (.f64 y z))
(fma.f64 x (.f64 x #s(literal 3 binary64)) (.f64 y z))
(+.f64 (+.f64 (+.f64 (.f64 x z) (.f64 y y)) (.f64 y y)) (.f64 y y))
(+.f64 (.f64 y y) (+.f64 (.f64 y y) (fma.f64 x z (*.f64 y y))))
(fma.f64 y y (fma.f64 x z (.f64 #s(literal 2 binary64) (.f64 y y))))
(fma.f64 x z (.f64 #s(literal 3 binary64) (.f64 y y)))
(fma.f64 x z (.f64 y (.f64 #s(literal 3 binary64) y)))
(fma.f64 x z (.f64 y (.f64 y #s(literal 3 binary64))))

Symmetry

(abs z)

(sort x y)

explain162.0ms (2.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
2	-	-	`(+.f64 (.f64 x y) (.f64 z z))`
0	-	-	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
0	-	-	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`
0	-	-	`(*.f64 x y)`
0	-	-	`x`
0	-	-	`z`
0	-	-	`y`
0	-	-	`(*.f64 z z)`

Results

105.0ms

512×

valid

Compiler

Compiled 110 to 26 computations (76.4% saved)

Precisions

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

ival-add: 10.0ms (54.4% of total)

ival-mult: 8.0ms (43.5% of total)

const: 0.0ms (0% of total)

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

eval1.0ms (0%)

Compiler: Compiled 44 to 17 computations (61.4% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
▶	99.9%	(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
▶	99.1%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Compiler

Compiled 43 to 23 computations (46.5% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (.f64 z z))
✓	cost-diff	0	(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
✓	cost-diff	6528	(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
✓	cost-diff	-6528	(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
✓	cost-diff	0	(*.f64 z #s(literal 3 binary64))
✓	cost-diff	0	(.f64 z (.f64 z #s(literal 3 binary64)))
✓	cost-diff	-6144	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
✓	cost-diff	-5888	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(*.f64 x y)

Rules

38×	`fma-define`
6×	`*-commutative`
5×	`+-commutative`
5×	`distribute-lft-out`
4×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	431
1	40	359
2	63	317
3	97	317
4	107	317

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
(+.f64 (.f64 x y) (.f64 z z))
(*.f64 x y)
x
y
(*.f64 z z)
z
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
x
y
(.f64 z (.f64 z #s(literal 3 binary64)))
z
(*.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
z
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
x
y
(.f64 #s(literal 2 binary64) (.f64 z z))
#s(literal 2 binary64)
(*.f64 z z)

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (fma.f64 x y (.f64 z z)) (+.f64 (.f64 z z) (*.f64 z z)))
(fma.f64 z z (fma.f64 x y (.f64 z (.f64 z #s(literal 2 binary64)))))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
(+.f64 (.f64 z z) (fma.f64 x y (.f64 z z)))
(fma.f64 x y (.f64 z (.f64 z #s(literal 2 binary64))))
(+.f64 (.f64 x y) (.f64 z z))
(fma.f64 x y (*.f64 z z))
(*.f64 x y)
x
y
(*.f64 z z)
z
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
(+.f64 (fma.f64 x y (.f64 z z)) (+.f64 (.f64 z z) (*.f64 z z)))
(fma.f64 z z (fma.f64 x y (.f64 z (.f64 z #s(literal 2 binary64)))))
x
y
(.f64 z (.f64 z #s(literal 3 binary64)))
z
(*.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
(+.f64 (fma.f64 x y (.f64 z z)) (+.f64 (.f64 z z) (*.f64 z z)))
(fma.f64 z z (fma.f64 x y (.f64 z (.f64 z #s(literal 2 binary64)))))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
z
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(+.f64 (.f64 z z) (fma.f64 x y (.f64 z z)))
(fma.f64 x y (.f64 z (.f64 z #s(literal 2 binary64))))
x
y
(.f64 #s(literal 2 binary64) (.f64 z z))
(.f64 (.f64 z z) #s(literal 2 binary64))
(.f64 z (.f64 z #s(literal 2 binary64)))
#s(literal 2 binary64)
(*.f64 z z)

localize310.0ms (3.9%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (.f64 z z))
✓	accuracy	100.0%	(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
✓	accuracy	100.0%	(*.f64 z #s(literal 3 binary64))
✓	accuracy	100.0%	(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
✓	accuracy	99.8%	(.f64 z (.f64 z #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
✓	accuracy	99.9%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
✓	accuracy	99.4%	(+.f64 (.f64 x y) (.f64 z z))

Results

199.0ms

256×

valid

Compiler

Compiled 97 to 17 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-mult: 164.0ms (93.2% of total)

ival-fma: 8.0ms (4.5% of total)

ival-add: 3.0ms (1.7% of total)

const: 1.0ms (0.6% of total)

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

series29.0ms (0.4%)

Counts

11 → 264

Calls

Call 1

Inputs
#<alt (*.f64 x y)>
#<alt (*.f64 z z)>
#<alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))>
#<alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))>
#<alt (.f64 z (.f64 z #s(literal 3 binary64)))>
#<alt (*.f64 z #s(literal 3 binary64))>
#<alt (fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))>
#<alt (fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))>
#<alt (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))>
#<alt (.f64 #s(literal 2 binary64) (.f64 z z))>
#<alt (+.f64 (.f64 x y) (.f64 z z))>

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

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
1.0ms	y	@	inf	(+ (+ (* x y) (* z z)) (* z z))
1.0ms	y	@	-inf	(* x y)
1.0ms	x	@	0	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
0.0ms	x	@	0	(* x y)

rewrite307.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

937×	`log1p-expm1-u`
937×	`expm1-log1p-u`
444×	`fma-neg`
147×	`add-cube-cbrt`
146×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	305
1	322	267
2	4625	267

Stop Event

1×	node limit

Counts

11 → 287

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 z z)
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
(.f64 z (.f64 z #s(literal 3 binary64)))
(*.f64 z #s(literal 3 binary64))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(.f64 #s(literal 2 binary64) (.f64 z z))
(+.f64 (.f64 x y) (.f64 z z))

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

simplify496.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

234×	`fma-define`
198×	`associate-r`
161×	`associate-l`
156×	`distribute-rgt-in`
143×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	526	21261
1	1198	21261
2	3943	21261

Stop Event

1×

unsound

Counts

551 → 290

Calls

Call 1

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

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

eval47.0ms (0.6%)

Compiler: Compiled 5991 to 1033 computations (82.8% saved)

prune304.0ms (3.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	326	6	332
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	327	8	335

Accuracy

100.0%

Counts

335 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))
▶	99.8%	(fma.f64 z z (fma.f64 x y (pow.f64 (*.f64 z (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	99.9%	(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
	33.9%	(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))) (-.f64 (.f64 x y) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
✓	99.1%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
▶	52.0%	(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))
▶	92.6%	(.f64 x (+.f64 y (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64))))
▶	54.2%	(*.f64 x y)

Compiler

Compiled 185 to 123 computations (33.5% saved)

simplify145.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(pow.f64 z #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))
✓	cost-diff	-6144	(.f64 x (+.f64 y (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #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)) x)
✓	cost-diff	0	(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #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 3 binary64))
	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(*.f64 z (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	6400	(pow.f64 (*.f64 z (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
✓	cost-diff	6400	(fma.f64 x y (pow.f64 (*.f64 z (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
✓	cost-diff	12928	(fma.f64 z z (fma.f64 x y (pow.f64 (*.f64 z (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))

Rules

1067×	`associate-/r*`
925×	`fma-define`
792×	`times-frac`
358×	`distribute-rgt-in`
356×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	422
1	44	418
2	90	398
3	181	356
4	282	356
5	454	356
6	1010	356
7	3450	356
8	5504	356
9	6034	356
10	6411	356
11	6502	356
12	6552	356

Stop Event

1×	node limit

Calls

Call 1

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

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

localize168.0ms (2.1%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 z #s(literal 2 binary64))
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.3%	(fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))
✓	accuracy	100.0%	(+.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)))
✓	accuracy	99.9%	(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64))
✓	accuracy	92.6%	(.f64 x (+.f64 y (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64))))
✓	accuracy	89.2%	(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
✓	accuracy	100.0%	(pow.f64 z #s(literal 2 binary64))
✓	accuracy	99.8%	(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 z z (fma.f64 x y (pow.f64 (*.f64 z (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))
✓	accuracy	99.6%	(pow.f64 (*.f64 z (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
✓	accuracy	99.4%	(*.f64 z (sqrt.f64 #s(literal 2 binary64)))

Results

139.0ms

256×

valid

Compiler

Compiled 116 to 19 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 11.0ms (31.6% of total)

ival-fma: 9.0ms (25.8% of total)

ival-div: 5.0ms (14.3% of total)

ival-pow: 5.0ms (14.3% of total)

ival-sqrt: 2.0ms (5.7% of total)

ival-add: 1.0ms (2.9% of total)

const: 1.0ms (2.9% of total)

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

series91.0ms (1.2%)

Counts

12 → 228

Calls

Call 1

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

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

Calls

69 calls:

Time	Variable		Point	Expression
62.0ms	z	@	inf	(* z (sqrt 2))
2.0ms	y	@	-inf	(+ y (* (/ (pow z 2) x) 3))
1.0ms	z	@	0	(pow (* z (sqrt 2)) 2)
1.0ms	x	@	inf	(* (/ (pow z 2) x) 3)
1.0ms	z	@	0	(* (/ (pow z 2) x) 3)

rewrite191.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1027×	`log1p-expm1-u`
1027×	`expm1-log1p-u`
155×	`add-exp-log`
154×	`add-log-exp`
154×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	298
1	357	278
2	4659	278

Stop Event

1×	node limit

Counts

12 → 284

Calls

Call 1

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

Outputs
(+.f64 (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y)) (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z z (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))))) #s(literal 1 binary64))
(.f64 (fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))))
(.f64 (cbrt.f64 (fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 (cbrt.f64 (fma.f64 z z (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z z (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(.f64 (hypot.f64 z (sqrt.f64 (fma.f64 x y (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))))) (hypot.f64 z (sqrt.f64 (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x y (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 x y (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x y (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 x y (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x y (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))))
(pow.f64 (fma.f64 z z (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z z (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z z (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 z (sqrt.f64 (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z z (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z z (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z z (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (fma.f64 z z (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z z (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (fma.f64 z z (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (fma.f64 z z (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(exp.f64 (.f64 (log.f64 (fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 x y) (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64))
(.f64 (fma.f64 x y (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x y (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (fma.f64 x y (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (fma.f64 x y (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 x y) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64))) (-.f64 (.f64 x y) (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (log.f64 (fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (fma.f64 x y (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 z (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 z (sqrt.f64 #s(literal 2 binary64)))))
(.f64 z (.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 z (*.f64 z (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 z (sqrt.f64 #s(literal 2 binary64))) (*.f64 z (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64))))
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(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x y)))))
(/.f64 (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x y)))
(pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(exp.f64 (.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))) (/.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 y (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))))
(*.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)))
(.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y)))))
(.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y))) (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 y (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (+.f64 y (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))))
(/.f64 (-.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y))
(pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)))
(exp.f64 (log.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(fma.f64 (.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 #s(literal 3 binary64))) (.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 #s(literal 3 binary64))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))

simplify322.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

518×	`fma-neg`
477×	`associate-r`
417×	`associate-l`
282×	`cube-prod`
281×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	655	20565
1	1430	16018
2	5410	15886

Stop Event

1×	node limit

Counts

512 → 392

Calls

Call 1

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

Outputs
(*.f64 x y)
(+.f64 (.f64 x y) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(+.f64 (.f64 x y) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(+.f64 (.f64 x y) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))
(+.f64 (.f64 x y) (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(+.f64 (.f64 x y) (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(+.f64 (.f64 x y) (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 x y)
(.f64 x (+.f64 y (+.f64 (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(.f64 x (+.f64 y (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) x)) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(.f64 x (+.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
(.f64 x (+.f64 y (+.f64 (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(.f64 x (+.f64 y (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) x)) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(.f64 x (+.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
(.f64 x (+.f64 y (+.f64 (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(.f64 x (+.f64 y (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) x)) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(.f64 x (+.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) x)))))
(.f64 (neg.f64 x) (.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) x))))
(*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) x)))))
(.f64 (neg.f64 x) (.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) x))))
(*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) x)))))
(.f64 (neg.f64 x) (.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) x))))
(*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))
(+.f64 (.f64 x y) (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(+.f64 (.f64 x y) (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(+.f64 (.f64 x y) (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 x y)
(.f64 y (+.f64 x (+.f64 (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(.f64 y (+.f64 x (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 y (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) y) x)))
(.f64 y (+.f64 x (+.f64 (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(.f64 y (+.f64 x (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 y (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) y) x)))
(.f64 y (+.f64 x (+.f64 (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(.f64 y (+.f64 x (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 y (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) y) x)))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)))))
(.f64 (neg.f64 y) (.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) y))))
(.f64 (neg.f64 y) (-.f64 (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -3 binary64)) x))
(*.f64 y (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)))))
(.f64 (neg.f64 y) (.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) y))))
(.f64 (neg.f64 y) (-.f64 (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -3 binary64)) x))
(*.f64 y (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)))))
(.f64 (neg.f64 y) (.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) y))))
(.f64 (neg.f64 y) (-.f64 (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -3 binary64)) x))
(*.f64 y (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64) x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (.f64 x y) (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (.f64 x y) (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (.f64 x y) (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 x y (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x y)
(.f64 x (+.f64 y (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) x)))
(.f64 x (+.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) x))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x) y))
(.f64 x (+.f64 y (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) x)))
(.f64 x (+.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) x))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x) y))
(.f64 x (+.f64 y (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) x)))
(.f64 x (+.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) x))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x) y))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) x)))))
(.f64 x (+.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) x))))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x) y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) x)))))
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(/.f64 (+.f64 (.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (.f64 (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)) (-.f64 (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 y (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 z #s(literal 2 binary64))) x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 2 binary64))))) (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal -3 binary64) y))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y))))
(.f64 (+.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) y)))))
(/.f64 (+.f64 (.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (.f64 (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)) (-.f64 (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)) y))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (+.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))) (.f64 y (/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (+.f64 (.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 y (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal -3 binary64) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 y (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 y (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 z #s(literal 2 binary64))) x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 2 binary64))))) (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal -3 binary64) y))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y)))))
(.f64 (+.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) y)))))
(/.f64 (+.f64 (.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (.f64 (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)) (-.f64 (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (+.f64 y (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 y (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 z #s(literal 2 binary64))) x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 2 binary64))))) (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal -3 binary64) y))
(/.f64 (-.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 y (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 z #s(literal 2 binary64))) x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 2 binary64))))) (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal -3 binary64) y))
(pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) #s(literal 3 binary64))
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)
(pow.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) #s(literal 2 binary64))
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y) #s(literal 2 binary64)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)
(log.f64 (exp.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y))))
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y) #s(literal 3 binary64)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)
(exp.f64 (log.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) y)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)
(fma.f64 (.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 #s(literal 3 binary64))) (.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 #s(literal 3 binary64))) y)
(+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 z (sqrt.f64 x))) #s(literal 2 binary64)) y)
(+.f64 y (pow.f64 (/.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 x)) #s(literal 2 binary64)))
(+.f64 y (*.f64 #s(literal 3 binary64) (pow.f64 (/.f64 z (sqrt.f64 x)) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)

eval215.0ms (2.7%)

Compiler: Compiled 7032 to 1455 computations (79.3% saved)

prune144.0ms (1.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	451	5	456
Fresh	1	0	1
Picked	4	1	5
Done	1	1	2
Total	457	7	464

Accuracy

100.0%

Counts

464 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))
✓	99.9%	(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
▶	98.9%	(+.f64 (.f64 x y) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
▶	52.0%	(.f64 (.f64 z z) #s(literal 3 binary64))
▶	92.6%	(.f64 x (+.f64 y (.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64))))
▶	92.6%	(.f64 x (+.f64 y (.f64 (*.f64 z (/.f64 z x)) #s(literal 3 binary64))))
✓	54.2%	(*.f64 x y)

Compiler

Compiled 145 to 97 computations (33.1% saved)

simplify144.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	6720	(+.f64 (.f64 x y) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
✓	cost-diff	12864	(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))
✓	cost-diff	12992	(+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
✓	cost-diff	12992	(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
✓	cost-diff	-12480	(.f64 x (+.f64 y (.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64))))
	cost-diff	-6336	(*.f64 z z)
✓	cost-diff	-6336	(/.f64 (*.f64 z z) x)
✓	cost-diff	-6336	(.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))
✓	cost-diff	-12480	(.f64 x (+.f64 y (.f64 (*.f64 z (/.f64 z x)) #s(literal 3 binary64))))
✓	cost-diff	-6336	(*.f64 z (/.f64 z x))
✓	cost-diff	-6336	(.f64 (.f64 z (/.f64 z x)) #s(literal 3 binary64))
✓	cost-diff	0	(/.f64 z x)
	cost-diff	-6336	(*.f64 z z)
✓	cost-diff	-6336	(.f64 (.f64 z z) #s(literal 3 binary64))
	cost-diff	-6336	(*.f64 z z)
✓	cost-diff	-6336	(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))
	cost-diff	0	(*.f64 x y)

Rules

1954×	`fma-define`
712×	`distribute-lft-in`
698×	`distribute-rgt-in`
600×	`associate-/l/`
466×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	452
1	74	444
2	157	444
3	317	444
4	532	444
5	1031	444
6	2610	444
7	4471	444
8	4711	444
9	4775	444
10	4791	444
11	4797	444
12	4798	444
13	7631	444

Stop Event

1×	node limit

Calls

Call 1

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

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

localize177.0ms (2.2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.8%	(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
✓	accuracy	99.4%	(+.f64 (.f64 x y) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
✓	accuracy	98.4%	(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 y (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64)))
✓	accuracy	99.9%	(.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))
✓	accuracy	92.6%	(.f64 x (+.f64 y (.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64))))
✓	accuracy	89.2%	(/.f64 (*.f64 z z) x)
✓	accuracy	100.0%	(+.f64 y (.f64 (.f64 z (/.f64 z x)) #s(literal 3 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 z (/.f64 z x)) #s(literal 3 binary64))
✓	accuracy	99.8%	(*.f64 z (/.f64 z x))
✓	accuracy	92.6%	(.f64 x (+.f64 y (.f64 (*.f64 z (/.f64 z x)) #s(literal 3 binary64))))
	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.8%	(.f64 (.f64 z z) #s(literal 3 binary64))
	accuracy	100.0%	(*.f64 z z)
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.3%	(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))

Results

131.0ms

256×

valid

Compiler

Compiled 157 to 26 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 15.0ms (43.5% of total)

ival-add: 5.0ms (14.5% of total)

ival-pow: 5.0ms (14.5% of total)

ival-div: 4.0ms (11.6% of total)

ival-fma: 3.0ms (8.7% of total)

ival-sqrt: 2.0ms (5.8% of total)

const: 1.0ms (2.9% of total)

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

series32.0ms (0.4%)

Counts

15 → 315

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(* (/ (* z z) x) 3)
0.0ms	z	@	inf	(* (pow z 2) (+ 1 (pow (sqrt 2) 2)))
0.0ms	z	@	0	(* (pow z 2) (+ 1 (pow (sqrt 2) 2)))
0.0ms	z	@	-inf	(/ z x)
0.0ms	z	@	inf	(/ z x)

rewrite363.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1107×	`log1p-expm1-u`
645×	`expm1-log1p-u`
161×	`add-cube-cbrt`
160×	`add-exp-log`
160×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	349
1	566	333
2	5180	333

Stop Event

1×	node limit

Counts

15 → 408

Calls

Call 1

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

Outputs
(+.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x y)))
(+.f64 (.f64 x y) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x y))
(+.f64 (+.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (+.f64 (.f64 x y) (.f64 #s(literal -3 binary64) (pow.f64 z #s(literal 2 binary64))))) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (+.f64 (.f64 x y) (.f64 #s(literal -3 binary64) (pow.f64 z #s(literal 2 binary64))))))
(.f64 (fma.f64 x y (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64))
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(/.f64 (-.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y))
(pow.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)))
(exp.f64 (log.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)) #s(literal 1 binary64)))
(fma.f64 z (/.f64 #s(literal 3 binary64) (/.f64 x z)) y)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(fma.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 z (sqrt.f64 x))) (.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 z (sqrt.f64 x))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))

simplify593.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

588×	`fma-neg`
449×	`cube-prod`
431×	`associate-r`
403×	`exp-prod`
393×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	570	25083
1	1315	24361
2	5522	24357

Stop Event

1×	node limit

Counts

723 → 330

Calls

Call 1

Inputs
(*.f64 x y)
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(*.f64 x y)
(.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(*.f64 x y)
(.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(*.f64 x y)
(.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(*.f64 x y)
(.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))
(*.f64 x y)
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(*.f64 x y)
(.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))
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(pow.f64 (fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))))
(exp.f64 (log.f64 (fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x y (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))
(fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 y x (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x y) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x y))
(fma.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) (.f64 z (sqrt.f64 #s(literal 3 binary64))) (*.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))) (/.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 y (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))))
(*.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y))
(*.f64 (cbrt.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)) (sqrt.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)))
(.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y)))))
(.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y))) (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 y (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (+.f64 y (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))))
(/.f64 (-.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y))
(pow.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)))
(exp.f64 (log.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)) #s(literal 1 binary64)))
(fma.f64 z (/.f64 #s(literal 3 binary64) (/.f64 x z)) y)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(fma.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 z (sqrt.f64 x))) (.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 z (sqrt.f64 x))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))) (/.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 y (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))))
(*.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y))
(*.f64 (cbrt.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)) (sqrt.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)))
(.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y)))))
(.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y))) (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 y (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (+.f64 y (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))))
(/.f64 (-.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y))
(pow.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)))
(exp.f64 (log.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)) #s(literal 1 binary64)))
(fma.f64 z (/.f64 #s(literal 3 binary64) (/.f64 x z)) y)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(fma.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 z (sqrt.f64 x))) (.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 z (sqrt.f64 x))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))

Outputs
(*.f64 x y)
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
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(/.f64 (fma.f64 y y (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64)) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal -3 binary64) y))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 3 binary64) x) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y)))) (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (/.f64 #s(literal 27 binary64) (pow.f64 (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 3 binary64) x) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y)))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))))
(/.f64 (+.f64 (/.f64 #s(literal 27 binary64) (pow.f64 (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 y (-.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 y (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 y (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -3 binary64)) x)))
(/.f64 (fma.f64 y y (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -9 binary64)) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal -3 binary64) y))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 3 binary64) x) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y))))))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27 binary64) (pow.f64 (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 3 binary64) x) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 3 binary64) x) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (+.f64 y (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 2 binary64)))))) (+.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))
(/.f64 (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y))
(/.f64 (-.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 2 binary64)))))) (+.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))
(/.f64 (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y))
(pow.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)) #s(literal 3 binary64))
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(pow.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)) #s(literal 2 binary64))
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y) #s(literal 2 binary64)))
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(log.f64 (exp.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)))
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y))))
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)))
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(exp.f64 (log.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)))
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(fma.f64 z (/.f64 #s(literal 3 binary64) (/.f64 x z)) y)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) y)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(fma.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 z (sqrt.f64 x))) (.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 z (sqrt.f64 x))) y)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)

eval51.0ms (0.7%)

Compiler: Compiled 6700 to 1432 computations (78.6% saved)

prune544.0ms (6.9%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	417	1	418
Fresh	0	0	0
Picked	1	4	5
Done	0	2	2
Total	418	7	425

Accuracy

100.0%

Counts

425 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))
▶	99.1%	(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))
✓	99.9%	(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
✓	52.0%	(.f64 (.f64 z z) #s(literal 3 binary64))
✓	92.6%	(.f64 x (+.f64 y (.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64))))
✓	92.6%	(.f64 x (+.f64 y (.f64 (*.f64 z (/.f64 z x)) #s(literal 3 binary64))))
✓	54.2%	(*.f64 x y)

Compiler

Compiled 75 to 49 computations (34.7% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
	cost-diff	(*.f64 x y)
	cost-diff	(*.f64 z #s(literal 3 binary64))
✓	cost-diff	(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))

Rules

5×	`fma-define`
2×	`*-commutative`
2×	`associate-r`
1×	`fma-undefine`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	69
1	18	69
2	22	69
3	27	69
4	28	69

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))
z
(*.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 x y)
x
y

Outputs
(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
z
(*.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 x y)
x
y

localize82.0ms (1%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 z #s(literal 3 binary64))
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.1%	(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))

Results

19.0ms

256×

valid

Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions

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

ival-mult: 4.0ms (52.6% of total)

ival-fma: 3.0ms (39.4% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0%)

Counts

1 → 36

Calls

Call 1

Inputs
#<alt (fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))>

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

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	inf	(+ (* z (* z 3)) (* x y))
0.0ms	y	@	-inf	(+ (* z (* z 3)) (* x y))
0.0ms	x	@	-inf	(+ (* z (* z 3)) (* x y))
0.0ms	z	@	0	(+ (* z (* z 3)) (* x y))
0.0ms	z	@	-inf	(+ (* z (* z 3)) (* x y))

rewrite89.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

529×	`log1p-expm1-u`
529×	`expm1-log1p-u`
502×	`unpow-prod-down`
457×	`pow1`
314×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	33
1	128	33
2	1446	30

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

Inputs
(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))

Outputs
(+.f64 (.f64 x y) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x y))
(+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)))
(+.f64 (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)))) #s(literal 1 binary64))
(.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)) #s(literal 1 binary64))
(.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))
(.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y))) (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)))) #s(literal 3 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)) (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)))))
(.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)))))
(/.f64 (+.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 27 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (neg.f64 (*.f64 x y))))
(pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y))))) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(exp.f64 (.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64)))

simplify133.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

456×	`associate-r`
427×	`times-frac`
396×	`prod-exp`
393×	`fma-neg`
389×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	2642
1	307	2607
2	912	2587
3	3842	2587
4	7785	2587

Stop Event

1×	node limit

Counts

76 → 62

Calls

Call 1

Inputs
(*.f64 x y)
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(*.f64 x y)
(.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(*.f64 x y)
(.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))
(+.f64 (.f64 x y) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x y))
(+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)))
(+.f64 (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)))) #s(literal 1 binary64))
(.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)) #s(literal 1 binary64))
(.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))
(.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y))) (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)))) #s(literal 3 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)) (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)))))
(.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)))))
(/.f64 (+.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 27 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (neg.f64 (*.f64 x y))))
(pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y))))) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(exp.f64 (.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64)))

Outputs
(*.f64 x y)
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x y)
(.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
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(.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
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(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x y)
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(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
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(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
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(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
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(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
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(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
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(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
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(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y))) (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)))) #s(literal 3 binary64)))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)) (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)))))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))) (cbrt.f64 (pow.f64 (.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 4 binary64)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 8 binary64))))
(.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (+.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 27 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x y)))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 27 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (.f64 (.f64 x y) (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 27 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 27 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (.f64 x y) (fma.f64 x y (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -3 binary64))) (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (neg.f64 (*.f64 x y))))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)) #s(literal 1 binary64))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))) #s(literal 3 binary64))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))) #s(literal 2 binary64))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y))))) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))))) (sqrt.f64 (log.f64 (fma.f64 x y (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)) #s(literal 2 binary64)))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)) #s(literal 3 binary64)))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))) #s(literal 3 binary64)))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y)))) #s(literal 1/3 binary64)))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 x y)))) #s(literal 2 binary64)))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))

eval11.0ms (0.1%)

Compiler: Compiled 1359 to 279 computations (79.5% saved)

prune35.0ms (0.4%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	90	7	97

Accuracy

100.0%

Counts

97 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))
✓	99.1%	(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))
✓	99.9%	(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
✓	52.0%	(.f64 (.f64 z z) #s(literal 3 binary64))
✓	92.6%	(.f64 x (+.f64 y (.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64))))
✓	92.6%	(.f64 x (+.f64 y (.f64 (*.f64 z (/.f64 z x)) #s(literal 3 binary64))))
✓	54.2%	(*.f64 x y)

Compiler

Compiled 229 to 102 computations (55.5% saved)

regimes125.0ms (1.6%)

Counts

15 → 1

Calls

Call 1

Inputs
(*.f64 x y)
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 x (+.f64 y (.f64 (*.f64 z (/.f64 z x)) #s(literal 3 binary64))))
(.f64 x (+.f64 y (.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64))))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))
(.f64 x (+.f64 y (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))
(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
(+.f64 (.f64 x y) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))) (-.f64 (.f64 x y) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(fma.f64 z z (fma.f64 x y (pow.f64 (*.f64 z (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))

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

Calls

6 calls:

99.0ms	x
6.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
5.0ms	y
5.0ms	z
5.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
100.0%	1	`(*.f64 x y)`
100.0%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes25.0ms (0.3%)

Counts

11 → 1

Calls

Call 1

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

Outputs
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.9%	1	`(*.f64 x y)`
99.9%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes19.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`y`
99.1%	1	`z`
99.1%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.1%	1	`(*.f64 x y)`
99.1%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes12.0ms (0.2%)

Counts

4 → 2

Calls

Call 1

Inputs
(*.f64 x y)
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 x (+.f64 y (.f64 (*.f64 z (/.f64 z x)) #s(literal 3 binary64))))
(.f64 x (+.f64 y (.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64))))

Outputs
(.f64 x (+.f64 y (.f64 (*.f64 z (/.f64 z x)) #s(literal 3 binary64))))
(.f64 (.f64 z z) #s(literal 3 binary64))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
92.6%	1	`x`
92.6%	1	`y`
97.6%	2	`z`
92.6%	1	`(*.f64 x y)`
97.6%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

Inputs
(*.f64 x y)
(.f64 (.f64 z z) #s(literal 3 binary64))

Outputs
(*.f64 x y)
(.f64 (.f64 z z) #s(literal 3 binary64))

Calls

5 calls:

2.0ms	y
2.0ms	x
2.0ms	z
1.0ms	(*.f64 x y)
1.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
67.9%	3	`y`
66.3%	3	`x`
70.3%	3	`(*.f64 x y)`
89.2%	2	`z`
89.2%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x y)

Outputs
(*.f64 x y)

Calls

4 calls:

1.0ms	x
1.0ms	z
1.0ms	y
1.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
54.2%	1	`x`
54.2%	1	`y`
54.2%	1	`(*.f64 x y)`
54.2%	1	`z`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.4977434044193863e+198	2.87873224907285e+199

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch43.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
41.0ms	12459347386767258000.0	7.928940279089618e+23

Results

6.0ms	110×	0	valid
2.0ms	7×	3	valid
1.0ms	6×	2	valid
1.0ms	5×	1	valid

Compiler

Compiled 132 to 101 computations (23.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-add: 2.0ms (46.9% of total)

ival-mult: 1.0ms (23.4% of total)

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

const: 0.0ms (0% of total)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`
4×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	299
1	50	299

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(if (<=.f64 (.f64 z z) #s(literal 4000000000000000070142166264077602166149767460708800344583192419745366289222052773513135086095057460819601312121498137127444044423471504910343963196864201302268135998643045972226530032988244005617664 binary64)) (.f64 x (+.f64 y (.f64 (.f64 z (/.f64 z x)) #s(literal 3 binary64)))) (.f64 (.f64 z z) #s(literal 3 binary64)))
(if (<=.f64 (.f64 z z) #s(literal 20999999999999997902848 binary64)) (.f64 x y) (.f64 (.f64 z z) #s(literal 3 binary64)))
(*.f64 x y)

Outputs
(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (.f64 z z) (+.f64 (.f64 z z) (+.f64 (.f64 z z) (.f64 x y))))
(if (<=.f64 (.f64 z z) #s(literal 4000000000000000070142166264077602166149767460708800344583192419745366289222052773513135086095057460819601312121498137127444044423471504910343963196864201302268135998643045972226530032988244005617664 binary64)) (.f64 x (+.f64 y (.f64 (.f64 z (/.f64 z x)) #s(literal 3 binary64)))) (.f64 (.f64 z z) #s(literal 3 binary64)))
(if (<=.f64 (.f64 z z) #s(literal 4000000000000000070142166264077602166149767460708800344583192419745366289222052773513135086095057460819601312121498137127444044423471504910343963196864201302268135998643045972226530032988244005617664 binary64)) (.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (.f64 z (/.f64 z x))))) (.f64 (.f64 z z) #s(literal 3 binary64)))
(if (<=.f64 (.f64 z z) #s(literal 20999999999999997902848 binary64)) (.f64 x y) (.f64 (.f64 z z) #s(literal 3 binary64)))
(*.f64 x y)

soundness831.0ms (10.5%)

Rules

1324×	`fma-neg`
1027×	`log1p-expm1-u`
1027×	`expm1-log1p-u`
560×	`fma-define`
361×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	298
1	357	278
2	4659	278
0	526	21261
1	1198	21261
2	3943	21261
0	47	721
1	124	545
2	291	383
3	815	375
4	1776	375
5	2657	375
6	3410	375
7	3927	375
8	3994	375
9	3994	375
10	4609	375
11	4609	375

Stop Event

1×	done
1×	saturated
1×	unsound
1×	node limit

Compiler

Compiled 372 to 124 computations (66.7% saved)

preprocess386.0ms (4.9%)

Remove

(sort x y)

(abs z)

Compiler

Compiled 492 to 248 computations (49.6% saved)

analyze0.0ms (0%)

sample1.0s (12.7%)

preprocess216.0ms (2.7%)

explain162.0ms (2.1%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify12.0ms (0.1%)

localize310.0ms (3.9%)

series29.0ms (0.4%)

rewrite307.0ms (3.9%)

simplify496.0ms (6.3%)

eval47.0ms (0.6%)

prune304.0ms (3.9%)

simplify145.0ms (1.8%)

localize168.0ms (2.1%)

series91.0ms (1.2%)

rewrite191.0ms (2.4%)

simplify322.0ms (4.1%)

eval215.0ms (2.7%)

prune144.0ms (1.8%)

simplify144.0ms (1.8%)

localize177.0ms (2.2%)

series32.0ms (0.4%)

rewrite363.0ms (4.6%)

simplify593.0ms (7.5%)

eval51.0ms (0.7%)

prune544.0ms (6.9%)

simplify7.0ms (0.1%)

localize82.0ms (1%)

series2.0ms (0%)

rewrite89.0ms (1.1%)

simplify133.0ms (1.7%)

eval11.0ms (0.1%)

prune35.0ms (0.4%)

regimes125.0ms (1.6%)

regimes25.0ms (0.3%)

regimes19.0ms (0.2%)

regimes12.0ms (0.2%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch43.0ms (0.5%)

simplify5.0ms (0.1%)

soundness831.0ms (10.5%)

preprocess386.0ms (4.9%)

end0.0ms (0%)

Profiling