Metrics for Numeric.Integration.TanhSinh:everywhere from integration-0.2.1

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 10 to 7 computations (30% 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)

sample649.0ms (13.6%)

Results

474.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 215.0ms

ival-mult: 159.0ms (74.1% of total)

ival-add: 44.0ms (20.5% of total)

const: 10.0ms (4.7% of total)

backward-pass: 2.0ms (0.9% of total)

Bogosity

preprocess72.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

252×	`fma-define`
80×	`fmm-def`
77×	`associate-r`
60×	`distribute-lft-in`
49×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	204
1	74	176
2	217	176
3	547	176
4	824	176
5	1046	176
6	1128	176
7	1134	176

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (neg.f64 y))))
(neg.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (.f64 y y))))
(neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (neg.f64 y)))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 x x)))

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

Symmetry

(abs y)

(negabs x)

explain58.0ms (1.2%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
13	-	-	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
0	-	-	`x`
0	-	-	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
0	-	-	`(*.f64 y y)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`y`

Results

33.0ms

512×

valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 8.0ms (69.1% of total)

ival-add: 3.0ms (25.9% of total)

const: 1.0ms (8.6% of total)

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

eval0.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

13×	`fma-define`
7×	`associate-r`
7×	`associate-l`
5×	`*-commutative`
4×	`*-rgt-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	25	61
2	38	61
3	65	61
4	69	61
5	71	61

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
x
(+.f64 #s(literal 1 binary64) (*.f64 y y))
(fma.f64 y y #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 y y)
y

localize23.0ms (0.5%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	95.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Results

17.0ms

256×

valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

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

ival-mult: 4.0ms (64.7% of total)

ival-add: 1.0ms (16.2% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

3 → 48

Calls

Call 1

Inputs
#<alt (*.f64 y y)>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 y y))>

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

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* x (+ 1 (* y y)))
1.0ms	x	@	-inf	(* x (+ 1 (* y y)))
0.0ms	y	@	0	(* y y)
0.0ms	x	@	inf	(* x (+ 1 (* y y)))
0.0ms	y	@	inf	(* y y)

rewrite208.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

535×	`log1p-expm1-u`
535×	`expm1-log1p-u`
477×	`unpow-prod-down`
446×	`pow1`
282×	`prod-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	51
1	127	49
2	1578	49

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 6 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 y)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (log.f64 y)))
(exp.f64 (+.f64 (.f64 (log.f64 y) #s(literal 1 binary64)) (.f64 (log.f64 y) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(+.f64 x (.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)) (.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))) (-.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) x) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(pow.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log1p.f64 (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(fma.f64 y (*.f64 y x) x)
(fma.f64 (pow.f64 y #s(literal 2 binary64)) x x)
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) x) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1 binary64)) (.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) x)) x)
(fma.f64 (.f64 y (sqrt.f64 x)) (.f64 y (sqrt.f64 x)) x)
(fma.f64 (pow.f64 (*.f64 y (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 x) x)
(fma.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 (*.f64 x y) y x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) y))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)))
(log.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y y #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 y y #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64)) (cbrt.f64 y) #s(literal 1 binary64))

simplify176.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

436×	`associate-r`
433×	`fma-define`
407×	`exp-prod`
389×	`distribute-lft-neg-in`
230×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	4364
1	646	4318
2	1381	4287
3	4856	4287

Stop Event

1×	node limit

Counts

186 → 171

Calls

Call 1

Inputs
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 6 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 y)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (log.f64 y)))
(exp.f64 (+.f64 (.f64 (log.f64 y) #s(literal 1 binary64)) (.f64 (log.f64 y) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(+.f64 x (.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)) (.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))) (-.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) x) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(pow.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log1p.f64 (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(fma.f64 y (*.f64 y x) x)
(fma.f64 (pow.f64 y #s(literal 2 binary64)) x x)
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) x) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1 binary64)) (.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) x)) x)
(fma.f64 (.f64 y (sqrt.f64 x)) (.f64 y (sqrt.f64 x)) x)
(fma.f64 (pow.f64 (*.f64 y (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 x) x)
(fma.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 (*.f64 x y) y x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) y))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)))
(log.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y y #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 y y #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64)) (cbrt.f64 y) #s(literal 1 binary64))

Outputs
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 y y #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 y y #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 6 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(pow.f64 y #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 y)) #s(literal 1/3 binary64)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (log.f64 y)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (+.f64 (.f64 (log.f64 y) #s(literal 1 binary64)) (.f64 (log.f64 y) #s(literal 1 binary64))))
(pow.f64 y #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 y #s(literal 2 binary64))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(pow.f64 y #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(pow.f64 y #s(literal 2 binary64))
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(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64))
(fma.f64 y y #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(fma.f64 y y #s(literal 1 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(fma.f64 y y #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)))
(log.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 y y #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 y y #s(literal 1 binary64))
(log1p.f64 (expm1.f64 (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 y y #s(literal 1 binary64))
(exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(fma.f64 y y #s(literal 1 binary64))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64)) (cbrt.f64 y) #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))

eval23.0ms (0.5%)

Compiler: Compiled 2099 to 482 computations (77% saved)

prune24.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	165	6	171
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	165	7	172

Accuracy

100.0%

Counts

172 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 x y) y x)
▶	99.4%	(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 2 binary64))
	93.8%	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64))
▶	69.1%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
▶	95.0%	(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 4 binary64))))
✓	95.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
▶	51.0%	x

Compiler

Compiled 123 to 88 computations (28.5% saved)

simplify69.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(hypot.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
✓	cost-diff	12800	(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 2 binary64))
✓	cost-diff	0	(pow.f64 y #s(literal 4 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))
✓	cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x)
✓	cost-diff	64	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
✓	cost-diff	-6272	(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 4 binary64))))
✓	cost-diff	0	(sqrt.f64 y)
✓	cost-diff	0	(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(fma.f64 (*.f64 x y) y x)

Rules

850×	`fmm-def`
709×	`associate-*r/`
548×	`fma-define`
378×	`associate-/l*`
347×	`div-sub`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	28	345
1	58	345
2	99	338
3	196	338
4	401	338
5	875	337
6	2211	337
7	7463	337

Stop Event

1×	node limit

Calls

Call 1

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

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

localize220.0ms (4.6%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(hypot.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.8%	(*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
✓	accuracy	99.4%	(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
✓	accuracy	95.7%	(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x)
✓	accuracy	77.5%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
✓	accuracy	100.0%	(sqrt.f64 y)
✓	accuracy	99.3%	(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
✓	accuracy	95.2%	(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 4 binary64))))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(fma.f64 (*.f64 x y) y x)

Results

192.0ms

256×

valid

Compiler

Compiled 119 to 26 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-mult: 132.0ms (80.2% of total)

ival-pow: 18.0ms (10.9% of total)

ival-sqrt: 6.0ms (3.6% of total)

ival-add: 4.0ms (2.4% of total)

ival-sub: 3.0ms (1.8% of total)

ival-div: 2.0ms (1.2% of total)

const: 1.0ms (0.6% of total)

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

series37.0ms (0.8%)

Counts

15 → 212

Calls

Call 1

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

Outputs
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
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#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #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 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #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 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #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 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/8 binary64))))))>
#<alt y>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)))))>
#<alt (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))>

Calls

66 calls:

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

rewrite303.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`log1p-expm1-u`
680×	`expm1-log1p-u`
170×	`add-exp-log`
170×	`pow1`
166×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	263
1	435	250
2	5359	250

Stop Event

1×	node limit

Counts

15 → 603

Calls

Call 1

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

Outputs
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) x)
(+.f64 (.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (hypot.f64 #s(literal 1 binary64) y) (.f64 (sqrt.f64 x) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(.f64 (hypot.f64 #s(literal 1 binary64) y) (.f64 (hypot.f64 #s(literal 1 binary64) y) x))
(.f64 (sqrt.f64 x) (.f64 (hypot.f64 #s(literal 1 binary64) y) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64))))
(.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))
(.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 4 binary64))))
(.f64 (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64)))) (.f64 (cbrt.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (fma.f64 y y #s(literal 1 binary64))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) (.f64 (sqrt.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (.f64 (sqrt.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(.f64 (.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 (/.f64 (sqrt.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (/.f64 (sqrt.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 (.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))
(.f64 (.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64))))) (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(.f64 (.f64 x (hypot.f64 #s(literal 1 binary64) y)) (hypot.f64 #s(literal 1 binary64) y))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(.f64 (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 x)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) x) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) x) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 x))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
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(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))

simplify647.0ms (13.5%)

Algorithm

1×	egg-herbie

Rules

595×	`times-frac`
513×	`fmm-def`
312×	`*-commutative`
296×	`associate-/r*`
278×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	879	26420
1	1925	25317
2	6539	25317

Stop Event

1×	node limit

Counts

815 → 578

Calls

Call 1

Inputs
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
x
(+.f64 x (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 y #s(literal 4 binary64)))))
(+.f64 x (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 y #s(literal 4 binary64)))))
(+.f64 x (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 y #s(literal 4 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (pow.f64 y #s(literal 4 binary64))))
(.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 x (pow.f64 y #s(literal 4 binary64)))))
(.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 x (pow.f64 y #s(literal 4 binary64)))))
(.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 x (pow.f64 y #s(literal 4 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (pow.f64 y #s(literal 4 binary64))))
(.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 x (pow.f64 y #s(literal 4 binary64)))))
(.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 x (pow.f64 y #s(literal 4 binary64)))))
(.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 x (pow.f64 y #s(literal 4 binary64)))))
(*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(+.f64 (sqrt.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))))))
(*.f64 (sqrt.f64 x) y)
(.f64 y (+.f64 (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
(.f64 y (+.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))))
(.f64 y (+.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) y))
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(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))

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

eval69.0ms (1.4%)

Compiler: Compiled 9271 to 1828 computations (80.3% saved)

prune75.0ms (1.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	577	1	578
Fresh	0	1	1
Picked	2	3	5
Done	0	1	1
Total	579	6	585

Accuracy

100.0%

Counts

585 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) y x)
▶	52.8%	(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
▶	93.8%	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64))
✓	95.0%	(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 4 binary64))))
✓	95.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
✓	51.0%	x

Compiler

Compiled 49 to 34 computations (30.6% saved)

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) y)
✓	cost-diff	12736	(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 y y #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
✓	cost-diff	0	(cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64))

Rules

30×	`fma-define`
22×	`associate-r`
21×	`associate-l`
10×	`*-rgt-identity`
10×	`*-lft-identity`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	158
1	32	158
2	50	157
3	66	157
4	106	157
5	141	157
6	150	157
7	153	157

Stop Event

1×

saturated

Calls

Call 1

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

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

localize54.0ms (1.1%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.6%	(*.f64 (sqrt.f64 x) y)
✓	accuracy	99.6%	(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 y y #s(literal 1 binary64))
✓	accuracy	99.2%	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64))
✓	accuracy	95.2%	(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
✓	accuracy	74.1%	(cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))

Results

40.0ms

256×

valid

Compiler

Compiled 52 to 14 computations (73.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-pow: 7.0ms (37.1% of total)

ival-mult: 6.0ms (31.8% of total)

ival-sqrt: 2.0ms (10.6% of total)

ival-cbrt: 2.0ms (10.6% of total)

ival-add: 1.0ms (5.3% of total)

const: 1.0ms (5.3% of total)

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

series23.0ms (0.5%)

Counts

6 → 112

Calls

Call 1

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

Outputs
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (cbrt.f64 x)>
#<alt (+.f64 (cbrt.f64 x) (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 (cbrt.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))))>
#<alt (+.f64 (cbrt.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2/9 binary64) x) (.f64 #s(literal 1/27 binary64) x))))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))))))>
#<alt (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 y (+.f64 (cbrt.f64 (/.f64 x y)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 7 binary64)))))))>
#<alt (.f64 y (+.f64 (cbrt.f64 (/.f64 x y)) (+.f64 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 13 binary64))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 7 binary64))))))))>
#<alt (.f64 y (+.f64 (cbrt.f64 (/.f64 x y)) (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 25 binary64))))) (+.f64 (.f64 #s(literal -2/9 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/27 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))))) (+.f64 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 13 binary64))))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 7 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 7 binary64))))) (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/9 binary64) (.f64 (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (cbrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 5 binary64)))) (cbrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 7 binary64))))) (+.f64 (.f64 #s(literal -2/9 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/27 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))))) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>

Calls

33 calls:

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

rewrite114.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`log1p-expm1-u`
638×	`expm1-log1p-u`
404×	`log-prod`
394×	`pow1`
330×	`pow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	131
1	197	127
2	1977	127

Stop Event

1×	node limit

Counts

6 → 230

Calls

Call 1

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

Outputs
(+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) x)
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64)) (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64))))
(.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))) (.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) x))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64))))) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (fma.f64 y y #s(literal 1 binary64))))
(.f64 (hypot.f64 #s(literal 1 binary64) y) (.f64 (hypot.f64 #s(literal 1 binary64) y) x))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) (pow.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 5/6 binary64)))
(.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 x (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)))) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))))
(.f64 (.f64 x (hypot.f64 #s(literal 1 binary64) y)) (hypot.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64)) #s(literal 1 binary64)) (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64)) (cbrt.f64 x)) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))))
(.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64)))) (cbrt.f64 (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))))
(.f64 (pow.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 5/6 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) (exp.f64 x)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 y (.f64 (sqrt.f64 x) (.f64 y (sqrt.f64 x))) x)
(fma.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))) x)
(fma.f64 (sqrt.f64 x) (.f64 y (.f64 y (sqrt.f64 x))) x)
(fma.f64 (.f64 y (sqrt.f64 x)) (.f64 y (sqrt.f64 x)) x)
(fma.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64) x)
(fma.f64 (pow.f64 y #s(literal 2 binary64)) x x)
(fma.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) #s(literal 4 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) #s(literal 4 binary64)) (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) x)
(fma.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)) x)
(fma.f64 (.f64 (.f64 y (sqrt.f64 x)) y) (sqrt.f64 x) x)
(fma.f64 (.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y x)
(fma.f64 (pow.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 5/6 binary64)) (cbrt.f64 (.f64 y (sqrt.f64 x))) x)
(fma.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (.f64 y (sqrt.f64 x))) x)
(+.f64 #s(literal 0 binary64) (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64)))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(.f64 (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64)))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (cbrt.f64 x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64))))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) (cbrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))))
(pow.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 4 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 6 binary64)) #s(literal 1/9 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2/3 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64)))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64)))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) x)
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 9 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 6 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) (exp.f64 x)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 y (.f64 (sqrt.f64 x) (.f64 y (sqrt.f64 x))) x)
(fma.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))) x)
(fma.f64 (sqrt.f64 x) (.f64 y (.f64 y (sqrt.f64 x))) x)
(fma.f64 (.f64 y (sqrt.f64 x)) (.f64 y (sqrt.f64 x)) x)
(fma.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64) x)
(fma.f64 (pow.f64 y #s(literal 2 binary64)) x x)
(fma.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) #s(literal 4 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) #s(literal 4 binary64)) (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) x)
(fma.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)) x)
(fma.f64 (.f64 (.f64 y (sqrt.f64 x)) y) (sqrt.f64 x) x)
(fma.f64 (.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y x)
(fma.f64 (pow.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 5/6 binary64)) (cbrt.f64 (.f64 y (sqrt.f64 x))) x)
(fma.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (.f64 y (sqrt.f64 x))) x)
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) y))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)))
(log.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y y #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y y #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 y y #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 y (.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))
(.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (.f64 y (*.f64 y (sqrt.f64 x))))
(.f64 (.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))
(.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) x)
(.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) #s(literal 4 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)))
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y)
(.f64 (pow.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 5/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y (sqrt.f64 x)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))

simplify405.0ms (8.5%)

Algorithm

1×	egg-herbie

Rules

600×	`fmm-def`
535×	`exp-prod`
510×	`distribute-lft-in`
463×	`distribute-rgt-in`
287×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	511	8589945101
1	1073	8589944715
2	3077	8589944547
3	6730	8589944547

Stop Event

1×	node limit

Counts

342 → 269

Calls

Call 1

Inputs
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 #s(literal -1 binary64))))
(cbrt.f64 x)
(+.f64 (cbrt.f64 x) (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (cbrt.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))))
(+.f64 (cbrt.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2/9 binary64) x) (.f64 #s(literal 1/27 binary64) x))))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))))))
(cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(.f64 y (+.f64 (cbrt.f64 (/.f64 x y)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 7 binary64)))))))
(.f64 y (+.f64 (cbrt.f64 (/.f64 x y)) (+.f64 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 13 binary64))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 7 binary64))))))))
(.f64 y (+.f64 (cbrt.f64 (/.f64 x y)) (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 25 binary64))))) (+.f64 (.f64 #s(literal -2/9 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/27 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))))) (+.f64 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 13 binary64))))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 7 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
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(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 9 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 6 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) (exp.f64 x)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(fma.f64 y (.f64 (sqrt.f64 x) (.f64 y (sqrt.f64 x))) x)
(fma.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))) x)
(fma.f64 (sqrt.f64 x) (.f64 y (.f64 y (sqrt.f64 x))) x)
(fma.f64 (.f64 y (sqrt.f64 x)) (.f64 y (sqrt.f64 x)) x)
(fma.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64) x)
(fma.f64 (pow.f64 y #s(literal 2 binary64)) x x)
(fma.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) #s(literal 4 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) #s(literal 4 binary64)) (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) x)
(fma.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)) x)
(fma.f64 (.f64 (.f64 y (sqrt.f64 x)) y) (sqrt.f64 x) x)
(fma.f64 (.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y x)
(fma.f64 (pow.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 5/6 binary64)) (cbrt.f64 (.f64 y (sqrt.f64 x))) x)
(fma.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (.f64 y (sqrt.f64 x))) x)
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (hypot.f64 #s(literal 1 binary64) y))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)))
(log.f64 (exp.f64 (fma.f64 y y #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y y #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y y #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 y y #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 y (.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))
(.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (.f64 y (*.f64 y (sqrt.f64 x))))
(.f64 (.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))
(.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) x)
(.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) #s(literal 4 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)))
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y)
(.f64 (pow.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 5/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y (sqrt.f64 x)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))

Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 #s(literal -1 binary64))))
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(.f64 (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) #s(literal 4 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64)))
(.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)))
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x)) y)
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 5/6 binary64)) (cbrt.f64 (*.f64 y (sqrt.f64 x))))
(.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 5/6 binary64)))
(.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 y (sqrt.f64 x))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3/2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 x)))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(fabs.f64 (*.f64 y (sqrt.f64 x)))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 x))))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 3 binary64)))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(neg.f64 (.f64 (sqrt.f64 x) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))

eval155.0ms (3.3%)

Compiler: Compiled 4155 to 1001 computations (75.9% saved)

prune41.0ms (0.9%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	292	2	294
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	293	7	300

Accuracy

100.0%

Counts

300 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) y x)
✓	52.8%	(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
▶	98.4%	(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) #s(literal 3 binary64))
▶	47.8%	(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
✓	95.0%	(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 4 binary64))))
✓	95.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
✓	51.0%	x

Compiler

Compiled 61 to 45 computations (26.2% saved)

simplify19.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))
✓	cost-diff	12800	(pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
✓	cost-diff	12800	(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
✓	cost-diff	25664	(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) #s(literal 3 binary64))
✓	cost-diff	0	(pow.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 x (pow.f64 y #s(literal 2 binary64)))
✓	cost-diff	0	(cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))

Rules

44×	`fma-define`
37×	`associate-r`
32×	`associate-l`
10×	`*-rgt-identity`
10×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	224
1	40	224
2	57	209
3	71	209
4	95	209
5	159	209
6	205	209
7	229	209
8	235	209
9	236	209

Stop Event

1×

saturated

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
x
(pow.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(literal 3 binary64)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) #s(literal 3 binary64))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))
(sqrt.f64 x)
x
(hypot.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(literal 2 binary64)
#s(literal 3 binary64)

Outputs
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
x
(pow.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(literal 3 binary64)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))
(sqrt.f64 x)
x
(hypot.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(literal 2 binary64)
#s(literal 3 binary64)

localize204.0ms (4.3%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))
✓	accuracy	99.4%	(pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
✓	accuracy	99.2%	(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) #s(literal 3 binary64))
✓	accuracy	74.1%	(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(pow.f64 y #s(literal 2 binary64))
✓	accuracy	99.4%	(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
✓	accuracy	87.9%	(*.f64 x (pow.f64 y #s(literal 2 binary64)))
✓	accuracy	53.7%	(cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))

Results

53.0ms

256×

valid

Compiler

Compiled 98 to 19 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-pow: 14.0ms (46.8% of total)

ival-mult: 7.0ms (23.4% of total)

ival-sqrt: 4.0ms (13.4% of total)

ival-cbrt: 3.0ms (10% of total)

ival-add: 1.0ms (3.3% of total)

const: 1.0ms (3.3% of total)

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

series17.0ms (0.4%)

Counts

8 → 128

Calls

Call 1

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

Outputs
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (cbrt.f64 (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (cbrt.f64 (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (cbrt.f64 (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (cbrt.f64 (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (cbrt.f64 x)>
#<alt (+.f64 (cbrt.f64 x) (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 (cbrt.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 x)))))>
#<alt (+.f64 (cbrt.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (cbrt.f64 x)) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2/9 binary64) x) (.f64 #s(literal 1/27 binary64) x))))) (*.f64 #s(literal -1/9 binary64) (cbrt.f64 x)))))))>
#<alt (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 y (+.f64 (cbrt.f64 (/.f64 x y)) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 7 binary64)))))))>
#<alt (.f64 y (+.f64 (cbrt.f64 (/.f64 x y)) (+.f64 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 13 binary64))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 7 binary64))))))))>
#<alt (.f64 y (+.f64 (cbrt.f64 (/.f64 x y)) (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 25 binary64))))) (+.f64 (.f64 #s(literal -2/9 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/27 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))))) (+.f64 (.f64 #s(literal -1/9 binary64) (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 13 binary64))))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 7 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/3 binary64) (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 7 binary64))))) (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/9 binary64) (.f64 (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (cbrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 5 binary64)))) (cbrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 7 binary64))))) (+.f64 (.f64 #s(literal -2/9 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/27 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))))))) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/3 binary64) (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #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 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #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 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #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 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 x)>
#<alt (+.f64 (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))>
#<alt (+.f64 (sqrt.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (.f64 y (+.f64 (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 y (+.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (.f64 y (+.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))))))>

Calls

45 calls:

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

rewrite132.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

752×	`log1p-expm1-u`
752×	`expm1-log1p-u`
484×	`log-prod`
237×	`pow-unpow`
212×	`pow2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	185
1	251	173
2	2488	170

Stop Event

1×	node limit

Counts

8 → 257

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) #s(literal 3 binary64))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y #s(literal 2 binary64)) x)
(.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) #s(literal 4 binary64)) (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) #s(literal 4 binary64))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) (.f64 (cbrt.f64 (.f64 y (sqrt.f64 x))) (pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 4 binary64))))
(.f64 (.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))
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(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 6 binary64)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 2/9 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2/3 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64)))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 2/3 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64)))) #s(literal 3/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(.f64 (sqrt.f64 x) (.f64 (hypot.f64 #s(literal 1 binary64) y) (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64))))
(.f64 (hypot.f64 #s(literal 1 binary64) y) (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))))
(.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64)) (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64))))) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) (.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))))
(.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) (sqrt.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))))
(.f64 (.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) (hypot.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))
(.f64 (.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64))))) (cbrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64)) #s(literal 1 binary64)) (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64)) (cbrt.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)))) (cbrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 y y #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 9/2 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(fabs.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)))

simplify180.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

677×	`times-frac`
391×	`associate-r`
352×	`associate-l`
282×	`associate-/r*`
250×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	585	21474849070
1	1236	21474848830
2	4022	21474848577

Stop Event

1×	node limit

Counts

385 → 319

Calls

Call 1

Inputs
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (cbrt.f64 (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (cbrt.f64 (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (cbrt.f64 (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (cbrt.f64 (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
(cbrt.f64 x)
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(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2/3 binary64) (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 9/2 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(fabs.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 y y #s(literal 1 binary64))))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)))

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

eval49.0ms (1%)

Compiler: Compiled 5248 to 1270 computations (75.8% saved)

prune48.0ms (1%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	316	3	319
Fresh	0	0	0
Picked	2	0	2
Done	0	5	5
Total	318	8	326

Accuracy

100.0%

Counts

326 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) y x)
✓	52.8%	(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
	52.5%	(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))) #s(literal 3 binary64))
	47.8%	(pow.f64 (cbrt.f64 (.f64 x (.f64 y y))) #s(literal 3 binary64))
	52.9%	(.f64 (.f64 x y) y)
✓	95.0%	(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 4 binary64))))
✓	95.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
✓	51.0%	x

Compiler

Compiled 167 to 90 computations (46.1% saved)

regimes22.0ms (0.5%)

Counts

13 → 1

Calls

Call 1

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

Outputs
(fma.f64 (*.f64 x y) y x)

Calls

5 calls:

5.0ms	(*.f64 y y)
4.0ms	x
4.0ms	y
4.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
4.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Results

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

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes137.0ms (2.9%)

Counts

3 → 2

Calls

Call 1

Inputs
x
(.f64 (.f64 x y) y)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (.f64 x y) y)

Calls

5 calls:

129.0ms	(*.f64 y y)
2.0ms	x
2.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
2.0ms	y
2.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Results

Accuracy	Segments	Branch
95.2%	1	`x`
99.9%	2	`y`
99.9%	2	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
99.9%	2	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
99.9%	2	`(*.f64 y y)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes2.0ms (0%)

Counts

2 → 2

Calls

Call 1

Inputs
x
(.f64 (.f64 x y) y)

Outputs
x
(.f64 (.f64 x y) y)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.9%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
51.0%	1	`x`
51.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2289692765886817e+26	1.9591250090871557e+28

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch14.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.1563330601355798	16147.657926136133

Results

9.0ms

144×

valid

Compiler

Compiled 122 to 82 computations (32.8% saved)

Precisions

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

ival-mult: 2.0ms (64.3% of total)

ival-add: 1.0ms (32.1% of total)

const: 0.0ms (0% of total)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`1-exp`
3×	`*-commutative`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	140
1	33	140

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 x y) y x)
(if (<=.f64 (.f64 y y) #s(literal 200000000000000009529458688 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 (*.f64 x y) y))
(if (<=.f64 y #s(literal 1 binary64)) x (.f64 (.f64 x y) y))
x

Outputs
(fma.f64 (*.f64 x y) y x)
(if (<=.f64 (.f64 y y) #s(literal 200000000000000009529458688 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 (*.f64 x y) y))
(if (<=.f64 (.f64 y y) #s(literal 200000000000000009529458688 binary64)) (.f64 x (+.f64 (.f64 y y) #s(literal 1 binary64))) (.f64 y (*.f64 x y)))
(if (<=.f64 y #s(literal 1 binary64)) x (.f64 (.f64 x y) y))
(if (<=.f64 y #s(literal 1 binary64)) x (.f64 y (.f64 x y)))
x

soundness438.0ms (9.2%)

Rules

752×	`log1p-expm1-u`
752×	`expm1-log1p-u`
535×	`log1p-expm1-u`
535×	`expm1-log1p-u`
484×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	185
1	251	173
2	2488	170
0	11	51
1	127	49
2	1578	49

Stop Event

1×	fuel
1×	node limit
1×	node limit

Compiler

Compiled 173 to 61 computations (64.7% saved)

preprocess38.0ms (0.8%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 174 to 82 computations (52.9% saved)

Iter	Nodes	Cost
0	21	224
1	40	224
2	57	209
3	71	209
4	95	209
5	159	209
6	205	209
7	229	209
8	235	209
9	236	209

Iter	Nodes	Cost
0	21	224
1	40	224
2	57	209
3	71	209
4	95	209
5	159	209
6	205	209
7	229	209
8	235	209
9	236	209

analyze0.0ms (0%)

sample649.0ms (13.6%)

preprocess72.0ms (1.5%)

explain58.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.2%)

localize23.0ms (0.5%)

series4.0ms (0.1%)

rewrite208.0ms (4.4%)

simplify176.0ms (3.7%)

eval23.0ms (0.5%)

prune24.0ms (0.5%)

simplify69.0ms (1.4%)

localize220.0ms (4.6%)

series37.0ms (0.8%)

rewrite303.0ms (6.3%)

simplify647.0ms (13.5%)

eval69.0ms (1.4%)

prune75.0ms (1.6%)

simplify14.0ms (0.3%)

localize54.0ms (1.1%)

series23.0ms (0.5%)

rewrite114.0ms (2.4%)

simplify405.0ms (8.5%)

eval155.0ms (3.3%)

prune41.0ms (0.9%)

simplify19.0ms (0.4%)

localize204.0ms (4.3%)

series17.0ms (0.4%)

rewrite132.0ms (2.8%)

simplify180.0ms (3.8%)

eval49.0ms (1%)

prune48.0ms (1%)

regimes22.0ms (0.5%)

regimes137.0ms (2.9%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch14.0ms (0.3%)

simplify3.0ms (0.1%)

soundness438.0ms (9.2%)

preprocess38.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	21	224
1	40	224
2	57	209
3	71	209
4	95	209
5	159	209
6	205	209
7	229	209
8	235	209
9	236	209