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)

sample974.0ms (10.3%)

Results

755.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 426.0ms

ival-mult: 290.0ms (68% of total)

ival-add: 126.0ms (29.5% of total)

const: 8.0ms (1.9% of total)

backward-pass: 2.0ms (0.5% of total)

Bogosity

preprocess205.0ms (2.2%)

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)

explain87.0ms (0.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
6	-	-	`(+.f64 (.f64 x y) (.f64 z z))`
4	-	-	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
4	-	-	`(+.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

46.0ms

512×

valid

Compiler

Compiled 110 to 26 computations (76.4% saved)

Precisions

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

ival-mult: 9.0ms (55.2% of total)

ival-add: 7.0ms (42.9% of total)

const: 1.0ms (6.1% 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
▶	98.4%	(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
▶	98.3%	(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
▶	97.5%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Compiler

Compiled 43 to 23 computations (46.5% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

localize380.0ms (4%)

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	99.9%	(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
✓	accuracy	98.4%	(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	98.4%	(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	98.4%	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
✓	accuracy	98.3%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
✓	accuracy	97.8%	(+.f64 (.f64 x y) (.f64 z z))

Results

145.0ms

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: 9.0ms (40.5% of total)

ival-fma: 9.0ms (40.5% of total)

ival-add: 3.0ms (13.5% of total)

const: 1.0ms (4.5% of total)

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

series30.0ms (0.3%)

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
4.0ms	z	@	inf	(+ (* z z) (+ (* x y) (* 2 (* z z))))
1.0ms	y	@	inf	(+ (+ (* x y) (* z z)) (* z z))
1.0ms	y	@	-inf	(* x y)
0.0ms	x	@	0	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
0.0ms	x	@	0	(* x y)

rewrite383.0ms (4%)

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)))

simplify453.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

unsound

Counts

551 → 290

Calls

Call 1

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

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

eval92.0ms (1%)

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

prune492.0ms (5.2%)

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
▶	98.2%	(fma.f64 x y (.f64 z (pow.f64 (sqrt.f64 (.f64 z #s(literal 3 binary64))) #s(literal 2 binary64))))
✓	98.3%	(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
✓	97.5%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
▶	52.5%	(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))
▶	92.8%	(.f64 y (+.f64 x (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64))))
▶	53.3%	(*.f64 x y)

Compiler

Compiled 71 to 46 computations (35.2% saved)

simplify272.0ms (2.9%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (*.f64 z #s(literal 3 binary64)))
✓	cost-diff	6528	(.f64 z (pow.f64 (sqrt.f64 (.f64 z #s(literal 3 binary64))) #s(literal 2 binary64)))
✓	cost-diff	6528	(fma.f64 x y (.f64 z (pow.f64 (sqrt.f64 (.f64 z #s(literal 3 binary64))) #s(literal 2 binary64))))
✓	cost-diff	12864	(pow.f64 (sqrt.f64 (*.f64 z #s(literal 3 binary64))) #s(literal 2 binary64))
✓	cost-diff	0	(pow.f64 z #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 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

1012×	`cube-prod`
852×	`associate-/l/`
451×	`fabs-mul`
421×	`associate-/r/`
418×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	325
1	41	293
2	74	293
3	151	275
4	275	275
5	515	275
6	1082	275
7	2253	275
8	2809	275
9	3273	275
10	4070	275
11	4279	275
12	4476	275
13	5459	275
14	5819	275
15	6353	275
16	7043	275
17	7659	275

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

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

localize459.0ms (4.9%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 z (pow.f64 (sqrt.f64 (.f64 z #s(literal 3 binary64))) #s(literal 2 binary64)))
✓	accuracy	99.9%	(sqrt.f64 (*.f64 z #s(literal 3 binary64)))
✓	accuracy	99.5%	(pow.f64 (sqrt.f64 (*.f64 z #s(literal 3 binary64))) #s(literal 2 binary64))
✓	accuracy	98.4%	(fma.f64 x y (.f64 z (pow.f64 (sqrt.f64 (.f64 z #s(literal 3 binary64))) #s(literal 2 binary64))))
✓	accuracy	100.0%	(pow.f64 z #s(literal 2 binary64))
✓	accuracy	99.9%	(*.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	99.8%	(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64))
✓	accuracy	95.5%	(.f64 y (+.f64 x (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64))))
✓	accuracy	91.9%	(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
	accuracy	100.0%	(*.f64 x y)

Results

155.0ms	167×	0	valid
138.0ms	89×	5	exit

Compiler

Compiled 97 to 18 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-sqrt: 99.0ms (51.8% of total)

ival-mult: 29.0ms (15.2% of total)

ival-pow: 22.0ms (11.5% of total)

backward-pass: 21.0ms (11% of total)

ival-fma: 9.0ms (4.7% of total)

ival-div: 6.0ms (3.1% of total)

ival-add: 4.0ms (2.1% of total)

const: 1.0ms (0.5% of total)

series28.0ms (0.3%)

Counts

10 → 180

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

54 calls:

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

rewrite171.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

838×	`log1p-expm1-u`
838×	`expm1-log1p-u`
376×	`fma-define`
232×	`expm1-undefine`
232×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	220
1	319	209
2	4070	209

Stop Event

1×	node limit

Counts

10 → 303

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

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

simplify260.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

496×	`distribute-lft-neg-in`
461×	`associate-r`
408×	`associate-l`
388×	`fma-neg`
331×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	655	14343
1	1442	14103
2	4759	13903

Stop Event

1×	node limit

Counts

483 → 394

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

eval64.0ms (0.7%)

Compiler: Compiled 6552 to 1401 computations (78.6% saved)

prune129.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	421	5	426
Fresh	0	0	0
Picked	3	1	4
Done	1	1	2
Total	425	7	432

Accuracy

100.0%

Counts

432 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.3%	(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
▶	52.3%	(.f64 (.f64 (*.f64 z (sqrt.f64 z)) (sqrt.f64 z)) #s(literal 3 binary64))
▶	52.5%	(.f64 (.f64 z z) #s(literal 3 binary64))
▶	92.8%	(.f64 y (+.f64 x (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64))))
▶	94.4%	(.f64 y (+.f64 x (.f64 (*.f64 z (/.f64 z y)) #s(literal 3 binary64))))
▶	94.4%	(.f64 y (+.f64 x (.f64 (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))))
✓	53.3%	(*.f64 x y)

Compiler

Compiled 145 to 97 computations (33.1% saved)

simplify228.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6336	(*.f64 z (sqrt.f64 z))
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	12928	(.f64 (.f64 z (sqrt.f64 z)) (sqrt.f64 z))
✓	cost-diff	12928	(.f64 (.f64 (*.f64 z (sqrt.f64 z)) (sqrt.f64 z)) #s(literal 3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(*.f64 z (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	128	(.f64 z (.f64 z (/.f64 #s(literal 1 binary64) y)))
✓	cost-diff	128	(.f64 (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y))) #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))
	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 z (/.f64 z y)) #s(literal 3 binary64))))
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(*.f64 z (/.f64 z y))
✓	cost-diff	0	(.f64 (.f64 z (/.f64 z y)) #s(literal 3 binary64))

Rules

2164×	`unswap-sqr`
736×	`associate-/l/`
483×	`associate-/r*`
402×	`*-commutative`
393×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	587
1	81	563
2	163	560
3	386	533
4	891	533
5	1597	533
6	2709	533
7	3201	533
8	3304	533
9	3506	533
10	4757	533
11	4837	533
12	5618	533
13	5639	533
14	5658	533
15	5658	533
16	5755	533
17	5755	533
18	5755	533
19	5755	533

Stop Event

1×	node limit

Calls

Call 1

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

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

localize148.0ms (1.6%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.8%	(.f64 (.f64 (*.f64 z (sqrt.f64 z)) (sqrt.f64 z)) #s(literal 3 binary64))
✓	accuracy	99.7%	(*.f64 z (sqrt.f64 z))
✓	accuracy	99.7%	(.f64 (.f64 z (sqrt.f64 z)) (sqrt.f64 z))
✓	accuracy	99.8%	(.f64 z (.f64 z (/.f64 #s(literal 1 binary64) y)))
✓	accuracy	99.8%	(.f64 (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
✓	accuracy	99.7%	(*.f64 z (/.f64 #s(literal 1 binary64) y))
✓	accuracy	94.4%	(.f64 y (+.f64 x (.f64 (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))))
✓	accuracy	100.0%	(+.f64 x (.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64)))
✓	accuracy	99.8%	(.f64 (/.f64 (.f64 z z) y) #s(literal 3 binary64))
✓	accuracy	94.4%	(.f64 y (+.f64 x (.f64 (/.f64 (*.f64 z z) y) #s(literal 3 binary64))))
✓	accuracy	88.1%	(/.f64 (*.f64 z z) y)
	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.8%	(.f64 (.f64 z z) #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 x (.f64 (.f64 z (/.f64 z y)) #s(literal 3 binary64)))
✓	accuracy	99.8%	(*.f64 z (/.f64 z y))
✓	accuracy	99.8%	(.f64 (.f64 z (/.f64 z y)) #s(literal 3 binary64))
✓	accuracy	94.4%	(.f64 y (+.f64 x (.f64 (*.f64 z (/.f64 z y)) #s(literal 3 binary64))))

Results

109.0ms

256×

valid

Compiler

Compiled 169 to 27 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 25.0ms (65.1% of total)

ival-div: 6.0ms (15.6% of total)

ival-add: 4.0ms (10.4% of total)

ival-sqrt: 3.0ms (7.8% of total)

const: 1.0ms (2.6% of total)

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

series73.0ms (0.8%)

Counts

19 → 400

Calls

Call 1

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

Calls

111 calls:

Time	Variable		Point	Expression
39.0ms	y	@	0	(/ z y)
1.0ms	z	@	-inf	(* (* (* z (sqrt z)) (sqrt z)) 3)
1.0ms	z	@	-inf	(* z (sqrt z))
0.0ms	z	@	inf	(/ z y)
0.0ms	z	@	0	(* z (sqrt z))

rewrite435.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`log1p-expm1-u`
930×	`expm1-log1p-u`
383×	`fma-define`
195×	`fma-neg`
158×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	432
1	579	405
2	4645	405

Stop Event

1×	node limit

Counts

19 → 697

Calls

Call 1

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

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

simplify771.0ms (8.2%)

Algorithm

1×	egg-herbie

Rules

632×	`associate-l`
522×	`cube-prod`
481×	`exp-prod`
276×	`*-commutative`
276×	`prod-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	767	33030
1	1669	31753
2	5784	31420

Stop Event

1×	node limit

Counts

1097 → 492

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

eval119.0ms (1.3%)

Compiler: Compiled 8465 to 1987 computations (76.5% saved)

prune189.0ms (2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	545	2	547
Fresh	0	0	0
Picked	3	2	5
Done	0	2	2
Total	548	6	554

Accuracy

100.0%

Counts

554 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.3%	(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
▶	52.4%	(.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 z)) #s(literal 3 binary64))
✓	52.5%	(.f64 (.f64 z z) #s(literal 3 binary64))
▶	94.4%	(.f64 y (+.f64 x (.f64 (/.f64 z (/.f64 y z)) #s(literal 3 binary64))))
✓	94.4%	(.f64 y (+.f64 x (.f64 (*.f64 z (/.f64 z y)) #s(literal 3 binary64))))
✓	53.3%	(*.f64 x y)

Compiler

Compiled 64 to 44 computations (31.3% saved)

simplify299.0ms (3.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

1504×	`associate-/r/`
1429×	`associate-/l/`
1290×	`*-commutative`
461×	`associate-*r/`
365×	`swap-sqr`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	235
1	38	227
2	77	227
3	158	227
4	239	218
5	281	218
6	472	218
7	1221	218
8	2487	218
9	2677	218
10	2688	218
11	2688	218
12	3640	218
13	3860	218
14	3894	218
15	3908	218
16	3915	218
17	3918	218
18	4517	218
19	4541	218
20	4541	218
21	6766	218
22	6885	218
23	6972	218
24	7096	218
25	7258	218
26	7469	218

Stop Event

1×	node limit

Calls

Call 1

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

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

localize295.0ms (3.1%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 z #s(literal 3/2 binary64))
	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	99.8%	(.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 z)) #s(literal 3 binary64))
✓	accuracy	99.7%	(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 z))
✓	accuracy	100.0%	(+.f64 x (*.f64 (/.f64 z (/.f64 y z)) #s(literal 3 binary64)))
✓	accuracy	99.8%	(*.f64 (/.f64 z (/.f64 y z)) #s(literal 3 binary64))
✓	accuracy	99.8%	(/.f64 z (/.f64 y z))
✓	accuracy	94.4%	(.f64 y (+.f64 x (.f64 (/.f64 z (/.f64 y z)) #s(literal 3 binary64))))

Results

277.0ms

256×

valid

Compiler

Compiled 65 to 15 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 256.0ms

ival-pow: 240.0ms (93.6% of total)

ival-mult: 8.0ms (3.1% of total)

ival-div: 4.0ms (1.6% of total)

ival-sqrt: 2.0ms (0.8% of total)

ival-add: 1.0ms (0.4% of total)

const: 1.0ms (0.4% of total)

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

series14.0ms (0.1%)

Counts

8 → 156

Calls

Call 1

Inputs
#<alt (*.f64 (/.f64 z (/.f64 y z)) #s(literal 3 binary64))>
#<alt (/.f64 z (/.f64 y z))>
#<alt (/.f64 y z)>
#<alt (.f64 y (+.f64 x (.f64 (/.f64 z (/.f64 y z)) #s(literal 3 binary64))))>
#<alt (.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 z)) #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 z))>
#<alt (pow.f64 z #s(literal 3/2 binary64))>
#<alt (+.f64 x (*.f64 (/.f64 z (/.f64 y z)) #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) (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<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
1.0ms	z	@	-inf	(pow z 3/2)
0.0ms	z	@	0	(pow z 3/2)
0.0ms	z	@	-inf	(* (* (pow z 3/2) (sqrt z)) 3)
0.0ms	y	@	-inf	(/ y z)
0.0ms	y	@	0	(/ y z)

rewrite227.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`log1p-expm1-u`
872×	`expm1-log1p-u`
325×	`fma-define`
228×	`log1p-undefine`
164×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	208
1	285	162
2	4080	162

Stop Event

1×	node limit

Counts

8 → 265

Calls

Call 1

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

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

simplify171.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

499×	`cancel-sign-sub-inv`
440×	`distribute-lft-neg-in`
433×	`distribute-rgt-neg-in`
339×	`associate-r`
307×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	592	11775
1	1311	11428
2	4149	11278

Stop Event

1×	node limit

Counts

421 → 343

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

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

eval273.0ms (2.9%)

Compiler: Compiled 5707 to 1316 computations (76.9% saved)

prune235.0ms (2.5%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	370	0	370
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	370	6	376

Accuracy

100.0%

Counts

376 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.3%	(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
✓	52.4%	(.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 z)) #s(literal 3 binary64))
✓	52.5%	(.f64 (.f64 z z) #s(literal 3 binary64))
✓	94.4%	(.f64 y (+.f64 x (.f64 (/.f64 z (/.f64 y z)) #s(literal 3 binary64))))
✓	94.4%	(.f64 y (+.f64 x (.f64 (*.f64 z (/.f64 z y)) #s(literal 3 binary64))))
✓	53.3%	(*.f64 x y)

Compiler

Compiled 199 to 100 computations (49.7% saved)

regimes99.0ms (1.1%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

6 calls:

75.0ms	y
5.0ms	x
5.0ms	z
5.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
5.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`y`
98.4%	1	`z`
98.4%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
98.4%	1	`(*.f64 x y)`
98.4%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes36.0ms (0.4%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

6 calls:

15.0ms	z
4.0ms	y
4.0ms	x
4.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
4.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
98.3%	1	`x`
99.9%	2	`y`
98.3%	1	`z`
98.3%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
98.3%	1	`(*.f64 x y)`
98.3%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes19.0ms (0.2%)

Counts

8 → 2

Calls

Call 1

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
99.1%	2	`x`
99.9%	2	`z`
99.9%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.9%	2	`(*.f64 x y)`
99.9%	2	`(*.f64 z z)`
99.9%	2	`y`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes90.0ms (1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

79.0ms	(*.f64 x y)
3.0ms	y
3.0ms	x
3.0ms	z
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
94.4%	1	`x`
94.4%	1	`z`
94.4%	1	`(*.f64 z z)`
94.4%	1	`(*.f64 x y)`
94.4%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes10.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
94.4%	1	`x`
94.4%	1	`y`
94.4%	1	`z`
94.4%	1	`(*.f64 x y)`
94.4%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes16.0ms (0.2%)

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:

9.0ms	z
2.0ms	x
2.0ms	y
1.0ms	(*.f64 x y)
1.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
73.3%	3	`y`
71.7%	3	`x`
84.4%	2	`z`
78.0%	3	`(*.f64 x y)`
84.4%	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
53.3%	1	`x`
53.3%	1	`y`
53.3%	1	`(*.f64 x y)`
53.3%	1	`z`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	1.0665066185325946e+65	7.976723674301957e+68

Results

1.0ms

16×

valid

Compiler

Compiled 51 to 31 computations (39.2% 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)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
11.0ms	1.5413027758735153e-140	1.4261297860831655e-134

Results

8.0ms

112×

valid

Compiler

Compiled 262 to 146 computations (44.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (57.5% of total)

ival-add: 1.0ms (28.7% of total)

const: 0.0ms (0% of total)

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

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2791930360.3255267	38840530212.658455

Results

8.0ms

96×

valid

Compiler

Compiled 104 to 79 computations (24% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-add: 1.0ms (41.7% of total)

ival-mult: 1.0ms (41.7% of total)

const: 0.0ms (0% of total)

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

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative`
5×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	421
1	61	421

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
(if (<=.f64 y #s(literal 199999999999999998418077252567267701645512243388460910731136598016 binary64)) (fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64)))) (.f64 y (+.f64 x (.f64 (/.f64 z (/.f64 y z)) #s(literal 3 binary64)))))
(if (<=.f64 y #s(literal 1636695303948071/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336 binary64)) (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (.f64 y (+.f64 x (.f64 (/.f64 z (/.f64 y z)) #s(literal 3 binary64)))))
(.f64 y (+.f64 x (.f64 (/.f64 z (/.f64 y z)) #s(literal 3 binary64))))
(.f64 y (+.f64 x (.f64 (*.f64 z (/.f64 z y)) #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 16000000000 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))))
(if (<=.f64 y #s(literal 199999999999999998418077252567267701645512243388460910731136598016 binary64)) (fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64)))) (.f64 y (+.f64 x (.f64 (/.f64 z (/.f64 y z)) #s(literal 3 binary64)))))
(if (<=.f64 y #s(literal 199999999999999998418077252567267701645512243388460910731136598016 binary64)) (fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64)))) (.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 z (/.f64 y z))))))
(if (<=.f64 y #s(literal 1636695303948071/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336 binary64)) (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (.f64 y (+.f64 x (.f64 (/.f64 z (/.f64 y z)) #s(literal 3 binary64)))))
(if (<=.f64 y #s(literal 1636695303948071/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336 binary64)) (+.f64 (.f64 z z) (+.f64 (.f64 z z) (+.f64 (.f64 z z) (.f64 x y)))) (.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 z (/.f64 y z))))))
(.f64 y (+.f64 x (.f64 (/.f64 z (/.f64 y z)) #s(literal 3 binary64))))
(.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 z (/.f64 y z)))))
(.f64 y (+.f64 x (.f64 (*.f64 z (/.f64 z y)) #s(literal 3 binary64))))
(.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (*.f64 z (/.f64 z y)))))
(if (<=.f64 (.f64 z z) #s(literal 16000000000 binary64)) (.f64 x y) (.f64 (.f64 z z) #s(literal 3 binary64)))
(*.f64 x y)

soundness1.0s (11%)

Rules

1324×	`fma-neg`
930×	`log1p-expm1-u`
930×	`expm1-log1p-u`
838×	`log1p-expm1-u`
838×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (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
0	526	21261
1	1198	21261
2	3943	21261
0	24	220
1	319	209
2	4070	209
0	33	432
1	579	405
2	4645	405

Stop Event

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

Compiler

Compiled 440 to 152 computations (65.5% saved)

preprocess138.0ms (1.5%)

Remove: (abs z)
Compiler: Compiled 1052 to 554 computations (47.3% saved)

analyze0.0ms (0%)

sample974.0ms (10.3%)

preprocess205.0ms (2.2%)

explain87.0ms (0.9%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify11.0ms (0.1%)

localize380.0ms (4%)

series30.0ms (0.3%)

rewrite383.0ms (4%)

simplify453.0ms (4.8%)

eval92.0ms (1%)

prune492.0ms (5.2%)

simplify272.0ms (2.9%)

localize459.0ms (4.9%)

series28.0ms (0.3%)

rewrite171.0ms (1.8%)

simplify260.0ms (2.8%)

eval64.0ms (0.7%)

prune129.0ms (1.4%)

simplify228.0ms (2.4%)

localize148.0ms (1.6%)

series73.0ms (0.8%)

rewrite435.0ms (4.6%)

simplify771.0ms (8.2%)

eval119.0ms (1.3%)

prune189.0ms (2%)

simplify299.0ms (3.2%)

localize295.0ms (3.1%)

series14.0ms (0.1%)

rewrite227.0ms (2.4%)

simplify171.0ms (1.8%)

eval273.0ms (2.9%)

prune235.0ms (2.5%)

regimes99.0ms (1.1%)

regimes36.0ms (0.4%)

regimes19.0ms (0.2%)

regimes90.0ms (1%)

regimes10.0ms (0.1%)

regimes16.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch2.0ms (0%)

bsearch12.0ms (0.1%)

bsearch12.0ms (0.1%)

simplify5.0ms (0.1%)

soundness1.0s (11%)

preprocess138.0ms (1.5%)

end0.0ms (0%)

Profiling