Metrics for Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, C

analyze13.0ms (0.8%)

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 6 computations (25% saved)

Precisions

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

ival-mult: 3.0ms (72.6% of total)

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

const: 0.0ms (0% of total)

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

sample1.0s (64.6%)

Results

741.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 303.0ms

ival-div: 168.0ms (55.4% of total)

ival-mult: 121.0ms (39.9% of total)

const: 11.0ms (3.6% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess109.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

564×	`fma-define`
258×	`times-frac`
165×	`associate-l`
159×	`fma-neg`
151×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	141
1	48	133
2	110	133
3	337	133
4	1010	133
5	1741	133
6	2336	133
7	2535	133
8	2589	133
9	2669	133

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(negabs x)

(negabs y)

explain47.0ms (2.9%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 x (*.f64 y #s(literal 2 binary64)))`
-	-	`x`
-	-	`(*.f64 y #s(literal 2 binary64))`
-	-	`y`
-	-	`#s(literal 2 binary64)`

Results

29.0ms

512×

valid

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

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

ival-div: 5.0ms (47.4% of total)

ival-mult: 4.0ms (37.9% of total)

const: 1.0ms (9.5% of total)

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

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 x (*.f64 y #s(literal 2 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 x (*.f64 y #s(literal 2 binary64)))

Rules

2×	`associate-/r*`
1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	13	38
2	15	38

Stop Event

1×

saturated

Calls

Call 1

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

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

localize21.0ms (1.3%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x (*.f64 y #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))

Results

16.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-div: 2.0ms (44.6% of total)

ival-mult: 2.0ms (44.6% of total)

const: 0.0ms (0% of total)

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

series8.0ms (0.5%)

Counts

2 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite198.0ms (12.4%)

Algorithm

1×	batch-egg-rewrite

Rules

495×	`unpow-prod-down`
487×	`log1p-expm1-u`
487×	`expm1-log1p-u`
470×	`add-exp-log`
433×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	94	29
2	1291	29

Stop Event

1×	node limit

Counts

2 → 103

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 x y))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 x y))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))
(.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) (log.f64 (E.f64)))
(.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (.f64 y #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (sqrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (.f64 y #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal -2 binary64)) (/.f64 x (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (*.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) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (.f64 y #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 2 binary64)) (/.f64 (sqrt.f64 x) y))
(.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (.f64 y #s(literal 2 binary64))))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))))
(.f64 (pow.f64 (pow.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 y (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(*.f64 (pow.f64 (/.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (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 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.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 (.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) (cbrt.f64 x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) (sqrt.f64 x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (cbrt.f64 x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64))) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (sqrt.f64 x)) #s(literal -1 binary64)))
(pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
(pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))))) (sqrt.f64 (log.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)))))
(neg.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y (/.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(+.f64 y y)
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (.f64 y #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))

simplify104.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

816×	`fma-neg`
549×	`exp-prod`
513×	`associate-*r/`
405×	`associate-*l/`
384×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	293	3122
1	566	3098
2	1489	3062
3	6417	3062

Stop Event

1×	node limit

Counts

139 → 140

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 x y))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 x y))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))
(.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) (log.f64 (E.f64)))
(.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (.f64 y #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (sqrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (.f64 y #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal -2 binary64)) (/.f64 x (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (*.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) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (.f64 y #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 2 binary64)) (/.f64 (sqrt.f64 x) y))
(.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (.f64 y #s(literal 2 binary64))))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))))
(.f64 (pow.f64 (pow.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 y (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(*.f64 (pow.f64 (/.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (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 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.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 (.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) (cbrt.f64 x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) (sqrt.f64 x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (cbrt.f64 x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64))) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (sqrt.f64 x)) #s(literal -1 binary64)))
(pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
(pow.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))))) (sqrt.f64 (log.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)))))
(neg.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y (/.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(+.f64 y y)
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (.f64 y #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))

Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
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(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(pow.f64 (E.f64) (log.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y))))) (sqrt.f64 (log.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
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(neg.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
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(log.f64 (sqrt.f64 (exp.f64 (/.f64 x y))))
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(/.f64 (/.f64 x #s(literal 2 binary64)) y)
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(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
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(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
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(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (.f64 y #s(literal 2 binary64)))))
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(exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))
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(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 y #s(literal 2 binary64))
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(*.f64 y #s(literal 2 binary64))
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(*.f64 y #s(literal 2 binary64))

eval17.0ms (1%)

Compiler: Compiled 1700 to 418 computations (75.4% saved)

prune19.0ms (1.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	140	1	141

Accuracy

100.0%

Counts

141 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (*.f64 y #s(literal 2 binary64)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	11	19

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness0.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 7 to 5 computations (28.6% saved)

preprocess22.0ms (1.4%)

Remove

(negabs y)

(negabs x)

Compiler

Compiled 84 to 60 computations (28.6% saved)

Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, C

analyze13.0ms (0.8%)

sample1.0s (64.6%)

preprocess109.0ms (6.8%)

explain47.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.4%)

localize21.0ms (1.3%)

series8.0ms (0.5%)

rewrite198.0ms (12.4%)

simplify104.0ms (6.5%)

eval17.0ms (1%)

prune19.0ms (1.2%)

simplify2.0ms (0.2%)

soundness0.0ms (0%)

preprocess22.0ms (1.4%)

end0.0ms (0%)

Profiling