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)

sample1.2s (18.5%)

Results

979.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 545.0ms

ival-add: 309.0ms (56.7% of total)

ival-mult: 226.0ms (41.5% of total)

const: 7.0ms (1.3% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess204.0ms (3.1%)

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)

explain130.0ms (2%)

FPErrors

Click to see full error table

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

96.0ms

512×

valid

Compiler

Compiled 110 to 26 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 60.0ms (88.3% of total)

ival-add: 7.0ms (10.3% 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
▶	99.2%	(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
▶	99.1%	(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
▶	98.0%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Compiler

Compiled 43 to 23 computations (46.5% saved)

simplify13.0ms (0.2%)

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)

localize65.0ms (1%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	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	99.2%	(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
✓	accuracy	100.0%	(*.f64 z #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 z (.f64 z #s(literal 3 binary64)))
✓	accuracy	99.2%	(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.2%	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
✓	accuracy	99.1%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
✓	accuracy	98.3%	(+.f64 (.f64 x y) (.f64 z z))

Results

44.0ms

256×

valid

Compiler

Compiled 97 to 17 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 10.0ms (45.4% of total)

ival-fma: 8.0ms (36.3% of total)

ival-add: 4.0ms (18.1% of total)

const: 1.0ms (4.5% of total)

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

series75.0ms (1.2%)

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
49.0ms	y	@	0	(* x y)
2.0ms	z	@	inf	(* 2 (* z z))
1.0ms	y	@	-inf	(* x y)
1.0ms	y	@	inf	(+ (+ (* x y) (* z z)) (* z z))
1.0ms	x	@	0	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite432.0ms (6.7%)

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)))

simplify618.0ms (9.5%)

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 #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)))

eval96.0ms (1.5%)

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

prune50.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	328	4	332
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	329	6	335

Accuracy

100.0%

Counts

335 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.9%	(fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))
✓	99.1%	(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
✓	98.0%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
▶	59.0%	(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))
▶	91.1%	(.f64 y (+.f64 x (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64))))
▶	47.8%	(*.f64 x y)

Compiler

Compiled 68 to 44 computations (35.3% saved)

simplify201.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 10 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	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	-6144	(.f64 y (+.f64 x (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #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)) y)
✓	cost-diff	0	(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64))
	cost-diff	0	(*.f64 x y)

Rules

725×	`times-frac`
719×	`cube-prod`
701×	`associate-/r/`
560×	`associate-/l/`
539×	`swap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	278
1	33	266
2	63	266
3	122	248
4	197	248
5	349	248
6	703	248
7	2246	248
8	3532	248
9	3667	248
10	3748	248
11	3849	248
12	3984	248
13	4144	248
14	5573	248
15	6254	248
16	7311	248
17	7781	248
18	7933	248

Stop Event

1×	node limit

Calls

Call 1

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

localize71.0ms (1.1%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 z #s(literal 2 binary64))
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	98.2%	(fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x y))
✓	accuracy	100.0%	(pow.f64 z #s(literal 2 binary64))
✓	accuracy	99.7%	(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)))
✓	accuracy	99.7%	(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64))
✓	accuracy	91.9%	(.f64 y (+.f64 x (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64))))
✓	accuracy	88.6%	(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
	accuracy	100.0%	(*.f64 x y)

Results

47.0ms

256×

valid

Compiler

Compiled 79 to 14 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 11.0ms (50.9% of total)

ival-fma: 4.0ms (18.5% of total)

ival-pow: 3.0ms (13.9% of total)

ival-div: 2.0ms (9.3% of total)

ival-add: 1.0ms (4.6% of total)

const: 1.0ms (4.6% of total)

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

series91.0ms (1.4%)

Counts

7 → 144

Calls

Call 1

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

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

Calls

45 calls:

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

rewrite176.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

772×	`log1p-expm1-u`
772×	`expm1-log1p-u`
685×	`log-prod`
408×	`fma-define`
215×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	177
1	252	169
2	3432	169

Stop Event

1×	node limit

Counts

7 → 280

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))) (cbrt.f64 (exp.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))) #s(literal 1 binary64))
(/.f64 #s(literal 3 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))))
(exp.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(*.f64 z (/.f64 z y))
(.f64 z (.f64 z (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y))
(.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 2 binary64)))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
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(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 y x))
(+.f64 (.f64 y x) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 y x)))) (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 y x)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 y x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 y x))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x)))) #s(literal 1 binary64))
(.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 y x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 y x)))
(.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 y x))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 y x))) (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 y x)))))
(/.f64 (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 y x)))
(pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x)) #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 y x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x)))))
(log.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y x)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (exp.f64 y) x)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))
(log.f64 (.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y x))) (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x))))
(exp.f64 (.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))) (/.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (-.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))))
(*.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)) (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)))
(.f64 (fma.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64))) (-.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) (neg.f64 x)))
(pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x))))
(log.f64 (.f64 (exp.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))) (exp.f64 x)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) x)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64) x)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) x)
(fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))
(fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) x)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) y) x)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))
(fma.f64 (/.f64 z (sqrt.f64 y)) (*.f64 (/.f64 z (sqrt.f64 y)) #s(literal 3 binary64)) x)
(fma.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) y) x)
(fma.f64 (.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 #s(literal 3 binary64))) (.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 #s(literal 3 binary64))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (sqrt.f64 y)) x)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 #s(literal 3 binary64) (sqrt.f64 y)) x)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) y) x)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (cbrt.f64 y)) x)
(fma.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) x)
(fma.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 y)) x)
(fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) y) x)
(fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))) x)
(fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))) (sqrt.f64 y)) (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) (sqrt.f64 y)) x)
(fma.f64 (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) y) x)
(fma.f64 (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) (cbrt.f64 y)) x)
(fma.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) x)
(fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 z (sqrt.f64 y))) (/.f64 z (sqrt.f64 y)) x)

simplify224.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

430×	`fma-neg`
419×	`distribute-lft-neg-in`
405×	`distribute-rgt-neg-in`
350×	`associate-r`
326×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	627	14319
1	1350	14124
2	4523	13800

Stop Event

1×	node limit

Counts

424 → 371

Calls

Call 1

Inputs
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
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(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 y x))
(+.f64 (.f64 y x) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 y x)))) (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 y x)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 y x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 y x))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x)))) #s(literal 1 binary64))
(.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 y x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 y x)))
(.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 y x))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 y x))) (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 y x)))))
(/.f64 (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 y x)))
(pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x)) #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 y x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x)))))
(log.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y x)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (exp.f64 y) x)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))
(log.f64 (.f64 (pow.f64 (exp.f64 y) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y x))) (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x))))
(exp.f64 (.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))) (/.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (-.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))))
(*.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)) (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)))
(.f64 (fma.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64))) (-.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) (neg.f64 x)))
(pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x))))
(log.f64 (.f64 (exp.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))) (exp.f64 x)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) x)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64) x)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) x)
(fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))
(fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) x)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) y) x)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))
(fma.f64 (/.f64 z (sqrt.f64 y)) (*.f64 (/.f64 z (sqrt.f64 y)) #s(literal 3 binary64)) x)
(fma.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) y) x)
(fma.f64 (.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 #s(literal 3 binary64))) (.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 #s(literal 3 binary64))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (sqrt.f64 y)) x)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 #s(literal 3 binary64) (sqrt.f64 y)) x)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) y) x)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (cbrt.f64 y)) x)
(fma.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) x)
(fma.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 y)) x)
(fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) y) x)
(fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))) x)
(fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))) (sqrt.f64 y)) (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) (sqrt.f64 y)) x)
(fma.f64 (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) y) x)
(fma.f64 (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) (cbrt.f64 y)) x)
(fma.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) x)
(fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 z (sqrt.f64 y))) (/.f64 z (sqrt.f64 y)) x)

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

eval59.0ms (0.9%)

Compiler: Compiled 7029 to 1288 computations (81.7% saved)

prune330.0ms (5.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	440	3	443
Fresh	0	0	0
Picked	3	1	4
Done	1	1	2
Total	444	5	449

Accuracy

100.0%

Counts

449 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.9%	(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))
✓	99.1%	(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
▶	59.0%	(.f64 (.f64 z z) #s(literal 3 binary64))
▶	91.1%	(.f64 y (+.f64 x (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64))))
✓	47.8%	(*.f64 x y)

Compiler

Compiled 50 to 33 computations (34% saved)

simplify176.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

755×	`times-frac`
721×	`cube-prod`
695×	`associate-/r/`
573×	`associate-/l/`
539×	`swap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	281
1	35	269
2	70	269
3	143	251
4	213	251
5	363	251
6	732	251
7	2321	251
8	3630	251
9	3766	251
10	3847	251
11	3948	251
12	4083	251
13	4243	251
14	5659	251
15	6340	251
16	7399	251
17	7869	251

Stop Event

1×	node limit

Calls

Call 1

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

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

localize60.0ms (0.9%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 z z)
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	98.2%	(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))
	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.7%	(.f64 (.f64 z z) #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 x (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)))
✓	accuracy	99.7%	(.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))
✓	accuracy	91.9%	(.f64 y (+.f64 x (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64))))
✓	accuracy	88.6%	(/.f64 (*.f64 z z) y)

Results

42.0ms

256×

valid

Compiler

Compiled 71 to 13 computations (81.7% saved)

Precisions

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

ival-mult: 12.0ms (58.6% of total)

ival-div: 4.0ms (19.5% of total)

ival-fma: 3.0ms (14.7% of total)

ival-add: 1.0ms (4.9% of total)

const: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Counts

6 → 168

Calls

Call 1

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

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

Calls

42 calls:

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

rewrite181.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

797×	`log1p-expm1-u`
797×	`expm1-log1p-u`
727×	`log-prod`
422×	`fma-define`
228×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	167
1	253	159
2	3532	159

Stop Event

1×	node limit

Counts

6 → 267

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))) #s(literal 1 binary64))
(/.f64 #s(literal 3 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))))
(exp.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(*.f64 z (/.f64 z y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) (/.f64 z y)))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y))
(.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 z y)))
(*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 2 binary64)))
(*.f64 (/.f64 z y) z)
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) y))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
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(pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x)) #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 y x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x)))))
(log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y x)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (exp.f64 x) y)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (pow.f64 (exp.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y x))) (pow.f64 (exp.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 y x))))
(exp.f64 (.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64) (.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))) (/.f64 (.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 9 binary64)) (-.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))))
(*.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)) (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)))
(.f64 (fma.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) x) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 9 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 9 binary64))) (-.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 9 binary64)))) (neg.f64 (-.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))))
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 9 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) x))
(pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))) (exp.f64 x)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)) #s(literal 1 binary64)))
(fma.f64 z (/.f64 (*.f64 z #s(literal 3 binary64)) y) x)
(fma.f64 z (*.f64 (/.f64 z y) #s(literal 3 binary64)) x)
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y) x)
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) x)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64) x)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) x)
(fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))
(fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) x)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))) x)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) y) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))
(fma.f64 (/.f64 z (sqrt.f64 y)) (/.f64 (*.f64 z #s(literal 3 binary64)) (sqrt.f64 y)) x)
(fma.f64 (/.f64 z (sqrt.f64 y)) (*.f64 (/.f64 z (sqrt.f64 y)) #s(literal 3 binary64)) x)
(fma.f64 (.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 #s(literal 3 binary64))) (.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 #s(literal 3 binary64))) x)
(fma.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y)))
(fma.f64 (*.f64 z #s(literal 3 binary64)) (/.f64 z y) x)
(fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 (*.f64 z #s(literal 3 binary64)) y) x)
(fma.f64 (/.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 z #s(literal 3 binary64)) (cbrt.f64 y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (sqrt.f64 y)) x)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 #s(literal 3 binary64) (sqrt.f64 y)) x)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) y) x)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (cbrt.f64 y)) x)
(fma.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) x)
(fma.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 y)) x)
(fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) y) x)
(fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) y))) x)
(fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))) (sqrt.f64 y)) (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) (sqrt.f64 y)) x)
(fma.f64 (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) y) x)
(fma.f64 (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) (cbrt.f64 y)) x)
(fma.f64 (*.f64 #s(literal 3 binary64) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) x)
(fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 z (sqrt.f64 y))) (/.f64 z (sqrt.f64 y)) x)

simplify200.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

441×	`distribute-lft-neg-in`
422×	`distribute-rgt-neg-in`
385×	`fma-neg`
310×	`associate-r`
276×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	602	14851
1	1327	14635
2	4247	14298

Stop Event

1×	node limit

Counts

435 → 352

Calls

Call 1

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

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

eval63.0ms (1%)

Compiler: Compiled 6605 to 1231 computations (81.4% saved)

prune57.0ms (0.9%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	407	0	407
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	407	5	412

Accuracy

100.0%

Counts

412 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.9%	(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))
✓	99.1%	(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
✓	59.0%	(.f64 (.f64 z z) #s(literal 3 binary64))
✓	91.1%	(.f64 y (+.f64 x (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64))))
✓	47.8%	(*.f64 x y)

Compiler

Compiled 138 to 62 computations (55.1% saved)

regimes172.0ms (2.6%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

6 calls:

150.0ms	(*.f64 z z)
4.0ms	x
4.0ms	y
4.0ms	z
4.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`z`
99.2%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.2%	1	`(*.f64 x y)`
99.2%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes22.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

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

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

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)

regimes15.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`y`
98.0%	1	`z`
98.0%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
98.0%	1	`(*.f64 x y)`
98.0%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes98.0ms (1.5%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

5 calls:

91.0ms	z
2.0ms	x
2.0ms	y
2.0ms	(*.f64 x y)
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
91.1%	1	`x`
91.1%	1	`y`
95.1%	2	`z`
91.1%	1	`(*.f64 x y)`
95.1%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (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
65.6%	3	`x`
75.5%	5	`(*.f64 x y)`
72.3%	3	`y`
86.1%	2	`z`
86.1%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (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	y
1.0ms	z
1.0ms	x
1.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
47.8%	1	`x`
47.8%	1	`y`
47.8%	1	`(*.f64 x y)`
47.8%	1	`z`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch17.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	5.2977231501888516e+135	9.86440219438609e+137

Results

9.0ms	96×	0	valid
2.0ms	7×	3	valid
1.0ms	6×	2	valid
0.0ms	1×	4	valid
0.0ms	2×	1	valid

Compiler

Compiled 160 to 118 computations (26.3% saved)

Precisions

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

ival-add: 2.0ms (48.4% of total)

ival-mult: 1.0ms (24.2% of total)

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

const: 0.0ms (0% of total)

bsearch54.0ms (0.8%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.3898256337845408e-46	2.9081234650051698e-39

Results

7.0ms	136×	0	valid
1.0ms	3×	3	valid
1.0ms	4×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 146 to 112 computations (23.3% saved)

Precisions

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

ival-add: 2.0ms (49.1% of total)

ival-mult: 1.0ms (24.5% of total)

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

const: 0.0ms (0% of total)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative`
4×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	299
1	48	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 19500000000000000950280453909925089298957045684373852982054806951552388174205488697985740296761627902894457736910827266092026204096823296 binary64)) (.f64 y (+.f64 x (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)))) (.f64 (.f64 z z) #s(literal 3 binary64)))
(if (<=.f64 (.f64 z z) #s(literal 1632046451200537/25108406941546723055343157692830665664409421777856138051584 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 19500000000000000950280453909925089298957045684373852982054806951552388174205488697985740296761627902894457736910827266092026204096823296 binary64)) (.f64 y (+.f64 x (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)))) (.f64 (.f64 z z) #s(literal 3 binary64)))
(if (<=.f64 (.f64 z z) #s(literal 19500000000000000950280453909925089298957045684373852982054806951552388174205488697985740296761627902894457736910827266092026204096823296 binary64)) (.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (.f64 z z) y)))) (.f64 (.f64 z z) #s(literal 3 binary64)))
(if (<=.f64 (.f64 z z) #s(literal 1632046451200537/25108406941546723055343157692830665664409421777856138051584 binary64)) (.f64 x y) (.f64 (.f64 z z) #s(literal 3 binary64)))
(*.f64 x y)

soundness822.0ms (12.7%)

Rules

1324×	`fma-neg`
772×	`log1p-expm1-u`
772×	`expm1-log1p-u`
685×	`log-prod`
560×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
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
0	20	177
1	252	169
2	3432	169

Stop Event

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

Compiler

Compiled 348 to 109 computations (68.7% saved)

preprocess487.0ms (7.5%)

Remove

(sort x y)

(abs z)

Compiler

Compiled 492 to 246 computations (50% saved)

analyze0.0ms (0%)

sample1.2s (18.5%)

preprocess204.0ms (3.1%)

explain130.0ms (2%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify13.0ms (0.2%)

localize65.0ms (1%)

series75.0ms (1.2%)

rewrite432.0ms (6.7%)

simplify618.0ms (9.5%)

eval96.0ms (1.5%)

prune50.0ms (0.8%)

simplify201.0ms (3.1%)

localize71.0ms (1.1%)

series91.0ms (1.4%)

rewrite176.0ms (2.7%)

simplify224.0ms (3.4%)

eval59.0ms (0.9%)

prune330.0ms (5.1%)

simplify176.0ms (2.7%)

localize60.0ms (0.9%)

series10.0ms (0.2%)

rewrite181.0ms (2.8%)

simplify200.0ms (3.1%)

eval63.0ms (1%)

prune57.0ms (0.9%)

regimes172.0ms (2.6%)

regimes22.0ms (0.3%)

regimes15.0ms (0.2%)

regimes98.0ms (1.5%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch17.0ms (0.3%)

bsearch54.0ms (0.8%)

simplify4.0ms (0.1%)

soundness822.0ms (12.7%)

preprocess487.0ms (7.5%)

end0.0ms (0%)

Profiling