Metrics for Physics.ForceLayout:coulombForce from force-layout-0.4.0.2

analyze109.0ms (2.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

Precisions

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

ival-mult: 3.0ms (75.9% of total)

ival-div: 1.0ms (25.3% of total)

const: 0.0ms (0% of total)

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

sample763.0ms (17.2%)

Results

471.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 276.0ms

ival-mult: 153.0ms (55.4% of total)

ival-div: 113.0ms (40.9% of total)

const: 8.0ms (2.9% of total)

backward-pass: 3.0ms (1.1% of total)

Bogosity

preprocess102.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

499×	`fma-define`
444×	`times-frac`
134×	`fma-neg`
99×	`associate-r`
99×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	162
1	47	162
2	112	162
3	334	162
4	870	162
5	1566	162
6	1997	162
7	2143	162
8	2173	162
9	2217	162

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (neg.f64 x) (*.f64 y y))
(/.f64 x (*.f64 (neg.f64 y) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y)))
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) (neg.f64 y))))
(/.f64 y (*.f64 x x))

Outputs
(/.f64 x (*.f64 y y))
(/.f64 x (*.f64 y y))
(/.f64 (neg.f64 x) (*.f64 y y))
(neg.f64 (/.f64 x (*.f64 y y)))
(/.f64 x (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 x (*.f64 y y))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y)))
(/.f64 x (*.f64 y y))
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) (neg.f64 y))))
(neg.f64 (/.f64 x (*.f64 y y)))
(/.f64 (neg.f64 x) (*.f64 y y))
(/.f64 y (*.f64 x x))

Symmetry

(abs y)

(negabs x)

explain41.0ms (0.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
34	-	2	(2.5130313627727983e-217 5.873987824158949e-156)	`(/.f64 x (*.f64 y y))`
0	-	0	-	`x`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`y`

Results

27.0ms

512×

valid

Compiler

Compiled 33 to 14 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 6.0ms (56% of total)

ival-div: 4.0ms (37.3% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.1%	(/.f64 x (*.f64 y y))

Compiler

Compiled 7 to 4 computations (42.9% saved)

localize24.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(/.f64 x (*.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	88.1%	(/.f64 x (*.f64 y y))

Rules

1×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
1	11	43

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y

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

Results

14.0ms

256×

valid

Compiler

Compiled 13 to 5 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (43.8% of total)

ival-mult: 2.0ms (43.8% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (/.f64 x (*.f64 y y))>
#<alt (*.f64 y 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 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 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 (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))>

Calls

9 calls:

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

rewrite269.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

436×	`log1p-expm1-u`
436×	`expm1-log1p-u`
419×	`add-exp-log`
408×	`unpow-prod-down`
405×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	93	29
2	1214	29

Stop Event

1×	node limit

Counts

2 → 95

Calls

Call 1

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

simplify117.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

360×	`prod-exp`
301×	`associate-r`
293×	`associate-/r/`
275×	`associate-/l/`
243×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	4294970525
1	457	4294970489
2	937	4294970447
3	3365	4294970447
4	7666	4294970447

Stop Event

1×	node limit

Counts

131 → 115

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 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 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)))
(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 #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 (+.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(.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 (E.f64)))
(.f64 #s(literal 1 binary64) (.f64 x (pow.f64 y #s(literal -2 binary64))))
(.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal -2 binary64)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) (cbrt.f64 (.f64 x (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (cbrt.f64 (.f64 x (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (pow.f64 y #s(literal -2 binary64))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (pow.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (pow.f64 y #s(literal -2 binary64))) (cbrt.f64 (.f64 x (pow.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))))
(.f64 (pow.f64 (pow.f64 (.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 (sqrt.f64 x) y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (.f64 x (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (pow.f64 (/.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (pow.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) x)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (pow.f64 y #s(literal -2 binary64))) (cbrt.f64 (.f64 x (pow.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 5/2 binary64))) (cbrt.f64 (/.f64 (sqrt.f64 x) y)))
(pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal -2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal -2 binary64)))))) (sqrt.f64 (log.f64 (.f64 x (pow.f64 y #s(literal -2 binary64))))))
(neg.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #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 (cbrt.f64 (.f64 x (pow.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal -1 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 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 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))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 y))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 y)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 y))))
(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 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 6 binary64))) #s(literal 1/3 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 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 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 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 x (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))
(pow.f64 y #s(literal 2 binary64))
(+.f64 #s(literal 0 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 (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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal -2 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal -2 binary64))) x))))
(+.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 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal -2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal -2 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -2 binary64)))) #s(literal 1 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 (.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(.f64 (.f64 x (pow.f64 y #s(literal -2 binary64))) (log.f64 (E.f64)))
(/.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 (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 (cbrt.f64 (.f64 x (pow.f64 y #s(literal -2 binary64)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 4 binary64))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #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)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #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 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.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 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
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eval17.0ms (0.4%)

Compiler: Compiled 1280 to 325 computations (74.6% saved)

prune19.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	109	6	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	109	7	116

Accuracy

100.0%

Counts

116 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
▶	99.2%	(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
✓	88.1%	(/.f64 x (*.f64 y y))
▶	87.8%	(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
	98.9%	(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) y))
▶	99.8%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
▶	87.9%	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))

Compiler

Compiled 121 to 80 computations (33.9% saved)

localize268.0ms (6%)

Algorithm

5×	egg-herbie

Localize:

Found 30 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	12928	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
✓	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	(/.f64 x y)
✓	cost-diff	0	(/.f64 y (/.f64 x y))
✓	cost-diff	6464	(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
✓	cost-diff	0	(pow.f64 y #s(literal -2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	128	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(pow.f64 y #s(literal 2 binary64))
✓	accuracy	94.2%	(/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
✓	accuracy	93.8%	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(/.f64 (sqrt.f64 x) y)
✓	accuracy	99.6%	(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.8%	(/.f64 y (/.f64 x y))
✓	accuracy	99.3%	(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
✓	accuracy	100.0%	(pow.f64 y #s(literal -2 binary64))
✓	accuracy	87.8%	(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.8%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))

Rules

11×	`associate-/r*`
9×	`associate-r`
9×	`associate-*r/`
9×	`associate-r`
8×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	60
1	22	54
2	31	54
3	50	54
4	62	54
5	62	54
0	10	38
1	11	38
0	11	72
1	15	72
2	28	72
3	36	66
4	47	66
5	76	66
6	93	66
7	93	66
0	12	57
1	13	57
2	17	57
3	21	56
4	26	56
5	27	56
0	13	86
1	17	69
2	23	69
3	28	69
4	28	69

Stop Event

1×	saturated
1×	saturated
1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(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 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(/.f64 (/.f64 x y) y)
(/.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#s(literal 2 binary64)

Call 3

Inputs
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
(/.f64 y (/.f64 x y))
y
(/.f64 x y)
x
#s(literal -1 binary64)

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

Call 4

Inputs
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(pow.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
x

Outputs
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(pow.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
x

Call 5

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

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

Results

60.0ms

256×

valid

Compiler

Compiled 86 to 20 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-pow: 14.0ms (42.8% of total)

ival-div: 11.0ms (33.6% of total)

ival-mult: 5.0ms (15.3% of total)

ival-sqrt: 2.0ms (6.1% of total)

const: 1.0ms (3.1% of total)

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

series48.0ms (1.1%)

Counts

13 → 208

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
20.0ms	y	@	inf	(/ y (/ x y))
2.0ms	x	@	-inf	(/ (sqrt x) y)
2.0ms	x	@	0	(/ y (/ x y))
1.0ms	y	@	0	(/ (sqrt x) (pow y 2))
1.0ms	x	@	inf	(/ x y)

rewrite486.0ms (11%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`log1p-expm1-u`
768×	`expm1-log1p-u`
196×	`expm1-undefine`
196×	`log1p-undefine`
143×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	223
1	355	205
2	4536	205

Stop Event

1×	node limit

Counts

13 → 646

Calls

Call 1

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

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

simplify747.0ms (16.9%)

Algorithm

1×	egg-herbie

Rules

644×	`cube-prod`
623×	`exp-prod`
531×	`associate-r`
485×	`fma-define`
479×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	726	18854
1	1498	18093
2	5484	18047

Stop Event

1×	node limit

Counts

854 → 460

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

eval106.0ms (2.4%)

Compiler: Compiled 6447 to 1346 computations (79.1% saved)

prune94.0ms (2.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	560	4	564
Fresh	1	0	1
Picked	3	2	5
Done	0	1	1
Total	564	7	571

Accuracy

100.0%

Counts

571 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(pow.f64 (/.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y) #s(literal 2 binary64))
✓	99.6%	(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
▶	99.9%	(/.f64 (/.f64 x y) y)
▶	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	88.1%	(/.f64 x (*.f64 y y))
▶	99.3%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
✓	87.8%	(*.f64 (pow.f64 y #s(literal -2 binary64)) x)

Compiler

Compiled 59 to 40 computations (32.2% saved)

localize234.0ms (5.3%)

Algorithm

4×	egg-herbie

Localize:

Found 26 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 x #s(literal 1/4 binary64))
✓	cost-diff	6528	(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	cost-diff	6528	(/.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y)
✓	cost-diff	19264	(pow.f64 (/.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y) #s(literal 2 binary64))
	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(/.f64 (/.f64 x y) y)
✓	cost-diff	0	(/.f64 y x)
	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(*.f64 (/.f64 y x) (neg.f64 y))
✓	cost-diff	192	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
✓	accuracy	100.0%	(pow.f64 x #s(literal 1/4 binary64))
✓	accuracy	99.7%	(/.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y)
✓	accuracy	99.6%	(pow.f64 (/.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y) #s(literal 2 binary64))
✓	accuracy	99.2%	(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.9%	(/.f64 (/.f64 x y) y)
✓	accuracy	100.0%	(/.f64 y x)
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	99.8%	(*.f64 (/.f64 y x) (neg.f64 y))
✓	accuracy	99.3%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))

Rules

293×	`fma-define`
204×	`times-frac`
154×	`fma-neg`
147×	`div-sub`
143×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	88
1	23	88
2	54	84
3	117	84
4	209	78
5	304	78
6	715	78
7	1716	78
8	2469	78
9	2511	78
10	2539	78
11	2539	78
0	11	60
1	21	60
2	30	60
3	39	54
4	46	54
5	74	54
6	80	54
0	9	43
1	11	43
0	13	92
1	15	74
2	24	68
3	44	67
4	79	67
5	95	67
6	97	67
7	132	67
8	244	67
9	281	67

Stop Event

1×	saturated
1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(pow.f64 (/.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y) #s(literal 2 binary64))
(/.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y)
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
#s(literal 2 binary64)
y

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

Call 2

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

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

Call 3

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

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

Call 4

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

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

Results

85.0ms

256×

valid

Compiler

Compiled 79 to 19 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-pow: 14.0ms (45.3% of total)

ival-div: 13.0ms (42.1% of total)

ival-mult: 2.0ms (6.5% of total)

const: 1.0ms (3.2% of total)

ival-neg: 1.0ms (3.2% of total)

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

series72.0ms (1.6%)

Counts

10 → 180

Calls

Call 1

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

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

Calls

51 calls:

Time	Variable		Point	Expression
31.0ms	x	@	0	(pow x 1/4)
20.0ms	x	@	-inf	(pow x 1/4)
6.0ms	x	@	inf	(pow x 1/4)
1.0ms	x	@	-inf	(pow (pow x 1/4) 2)
0.0ms	y	@	inf	(* (/ y x) (neg y))

rewrite174.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`log1p-expm1-u`
757×	`expm1-log1p-u`
176×	`log1p-undefine`
143×	`pow1`
141×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	214
1	344	147
2	4992	147

Stop Event

1×	node limit

Counts

10 → 526

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
(*.f64 (/.f64 y x) (neg.f64 y))
(neg.f64 y)
(/.f64 y x)
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 (/.f64 x y) y)
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y) #s(literal 2 binary64))
(/.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y)
(pow.f64 x #s(literal 1/4 binary64))

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

simplify259.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

797×	`fma-define`
532×	`times-frac`
303×	`associate-r`
291×	`associate-/r*`
286×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	606	17044
1	1209	16335
2	4778	16152

Stop Event

1×	node limit

Counts

706 → 387

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

eval63.0ms (1.4%)

Compiler: Compiled 5878 to 1414 computations (75.9% saved)

prune112.0ms (2.5%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	527	0	527
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	527	7	534

Accuracy

100.0%

Counts

534 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(pow.f64 (/.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) y) #s(literal 2 binary64))
✓	99.6%	(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
✓	99.9%	(/.f64 (/.f64 x y) y)
✓	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	88.1%	(/.f64 x (*.f64 y y))
✓	99.3%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))
✓	87.8%	(*.f64 (pow.f64 y #s(literal -2 binary64)) x)

Compiler

Compiled 140 to 77 computations (45% saved)

regimes15.0ms (0.3%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	x
4.0ms	y
3.0ms	(*.f64 y y)
3.0ms	(/.f64 x (*.f64 y y))

Results

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

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 x (*.f64 y y))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
88.1%	1	`x`
88.1%	1	`y`
88.1%	1	`(/.f64 x (*.f64 y y))`
88.1%	1	`(*.f64 y y)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))

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

soundness242.0ms (5.5%)

Rules

768×	`log1p-expm1-u`
768×	`expm1-log1p-u`
436×	`log1p-expm1-u`
436×	`expm1-log1p-u`
419×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	223
1	355	205
2	4536	205
0	9	29
1	93	29
2	1214	29

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 45 to 22 computations (51.1% saved)

preprocess34.0ms (0.8%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 108 to 60 computations (44.4% saved)

Physics.ForceLayout:coulombForce from force-layout-0.4.0.2

analyze109.0ms (2.5%)

sample763.0ms (17.2%)

preprocess102.0ms (2.3%)

explain41.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize24.0ms (0.6%)

series6.0ms (0.1%)

rewrite269.0ms (6.1%)

simplify117.0ms (2.6%)

eval17.0ms (0.4%)

prune19.0ms (0.4%)

localize268.0ms (6%)

series48.0ms (1.1%)

rewrite486.0ms (11%)

simplify747.0ms (16.9%)

eval106.0ms (2.4%)

prune94.0ms (2.1%)

localize234.0ms (5.3%)

series72.0ms (1.6%)

rewrite174.0ms (3.9%)

simplify259.0ms (5.8%)

eval63.0ms (1.4%)

prune112.0ms (2.5%)

regimes15.0ms (0.3%)

regimes5.0ms (0.1%)

simplify2.0ms (0%)

soundness242.0ms (5.5%)

preprocess34.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	60
1	22	54
2	31	54
3	50	54
4	62	54
5	62	54
0	10	38
1	11	38
0	11	72
1	15	72
2	28	72
3	36	66
4	47	66
5	76	66
6	93	66
7	93	66
0	12	57
1	13	57
2	17	57
3	21	56
4	26	56
5	27	56
0	13	86
1	17	69
2	23	69
3	28	69
4	28	69

Iter	Nodes	Cost
0	11	60
1	22	54
2	31	54
3	50	54
4	62	54
5	62	54
0	10	38
1	11	38
0	11	72
1	15	72
2	28	72
3	36	66
4	47	66
5	76	66
6	93	66
7	93	66
0	12	57
1	13	57
2	17	57
3	21	56
4	26	56
5	27	56
0	13	86
1	17	69
2	23	69
3	28	69
4	28	69

Iter	Nodes	Cost
0	11	60
1	22	54
2	31	54
3	50	54
4	62	54
5	62	54
0	10	38
1	11	38
0	11	72
1	15	72
2	28	72
3	36	66
4	47	66
5	76	66
6	93	66
7	93	66
0	12	57
1	13	57
2	17	57
3	21	56
4	26	56
5	27	56
0	13	86
1	17	69
2	23	69
3	28	69
4	28	69