Metrics for Linear.Matrix:fromQuaternion from linear-1.19.1.3, B

analyze235.0ms (7.8%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	8
19.5%	19.5%	80.4%	0.1%	0%	0%	0%	9
26.2%	26.1%	73.8%	0.1%	0%	0%	0%	10
27.5%	27.5%	72.4%	0.1%	0%	0%	0%	11
31.3%	31.3%	68.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample905.0ms (30.2%)

Samples

583.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 291.0ms

ival-mult: 233.0ms (80.2% of total)

ival-add: 45.0ms (15.5% of total)

ival-true: 6.0ms (2.1% of total)

ival-assert: 5.0ms (1.7% of total)

...in/eval/compile.rkt:76:19: 3.0ms (1% of total)

Bogosity

preprocess151.0ms (5%)

Algorithm

1×	egg-herbie

Rules

829×	`fma-define`
553×	`fmm-def`
126×	`unsub-neg`
116×	`distribute-lft-neg-in`
103×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	212
1	95	196
2	276	196
3	785	196
4	1512	196
5	2584	196
6	2978	196
7	3096	196
8	3128	196
9	3138	196
10	3139	196

Stop Event

1×

saturated

Calls

Call 1

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

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

explain167.0ms (5.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
9	-	-	`(+.f64 (.f64 x x) (.f64 x y))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
0	-	-	`(*.f64 x x)`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x x) (.f64 x y))`	nan-rescue	9	0
↳	`(*.f64 x x)`	overflow	66
↳	`(*.f64 x y)`	overflow	33

Confusion

	Predicted +	Predicted -
+	9	0
-	0	247

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	9	0	0
-	0	0	247

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	247
1	9

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

30.0ms

512×

valid

Compiler

Compiled 76 to 32 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 11.0ms (79.4% of total)

ival-add: 2.0ms (14.4% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 16 to 8 computations (50% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

20×	`fma-define`
10×	`*-commutative`
10×	`distribute-rgt-in`
10×	`distribute-lft-in`
7×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	60
1	16	60
2	31	60
3	61	60
4	91	60

Stop Event

1×

saturated

Calls

Call 1

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

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

localize68.0ms (2.3%)

Localize:

Found 3 expressions of interest:

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

Samples

62.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-mult: 3.0ms (59.9% of total)

ival-add: 2.0ms (39.9% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series7.0ms (0.2%)

Counts

3 → 42

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+ x y)
1.0ms	x	@	inf	(* 2 x)
1.0ms	x	@	inf	(* (+ x y) (* 2 x))
1.0ms	y	@	0	(* (+ x y) (* 2 x))
1.0ms	x	@	0	(* (+ x y) (* 2 x))

rewrite340.0ms (11.3%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`log1p-expm1-u`
598×	`expm1-log1p-u`
575×	`unpow-prod-down`
455×	`prod-diff`
317×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
1	119	51
2	1609	51

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

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

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

simplify114.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

627×	`fma-define`
551×	`unswap-sqr`
459×	`fmm-def`
358×	`distribute-lft-in`
344×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	309	4701
1	674	4617
2	1806	4524
3	6076	3636

Stop Event

1×	node limit

Counts

158 → 165

Calls

Call 1

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

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

eval21.0ms (0.7%)

Compiler: Compiled 2 095 to 495 computations (76.4% saved)

prune39.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	163	2	165
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	163	3	166

Accuracy

100.0%

Counts

166 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))
▶	56.7%	(.f64 y (.f64 #s(literal 2 binary64) x))
▶	62.7%	(.f64 x (.f64 #s(literal 2 binary64) x))

Compiler

Compiled 23 to 16 computations (30.4% saved)

simplify96.0ms (3.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

6×	`*-commutative`
5×	`associate-r`
4×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	72
1	17	72
2	27	72
3	29	72

Stop Event

1×

saturated

Calls

Call 1

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

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

localize23.0ms (0.8%)

Localize:

Found 4 expressions of interest:

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

Samples

13.0ms

256×

valid

Compiler

Compiled 23 to 8 computations (65.2% saved)

Precisions

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

ival-mult: 5.0ms (90.3% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts

2 → 36

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* y (* 2 x))
1.0ms	y	@	inf	(* y (* 2 x))
1.0ms	x	@	0	(* x (* 2 x))
0.0ms	x	@	inf	(* y (* 2 x))
0.0ms	y	@	0	(* y (* 2 x))

rewrite71.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

539×	`unpow-prod-down`
453×	`log1p-expm1-u`
453×	`expm1-log1p-u`
432×	`add-exp-log`
417×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	109	35
2	1264	35

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 #s(literal 2 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))) (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))))
(sqrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))
(cbrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(exp.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64)))

simplify108.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

683×	`div-sub`
543×	`distribute-lft-in`
530×	`fmm-def`
496×	`distribute-rgt-in`
408×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	1800
1	217	1800
2	383	1794
3	764	1788
4	1552	1788
5	2781	1788
6	6397	1788

Stop Event

1×	node limit

Counts

78 → 58

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 #s(literal 2 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))) (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))))
(sqrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))
(cbrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(exp.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64)))

Outputs
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 #s(literal 2 binary64) y)))
(.f64 #s(literal 2 binary64) (.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x y)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 #s(literal 2 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))))
(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (pow.f64 (exp.f64 y) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(pow.f64 (cbrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(pow.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(pow.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (.f64 #s(literal 8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))))
(pow.f64 (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(pow.f64 (E.f64) (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(pow.f64 (E.f64) (log.f64 (.f64 #s(literal 2 binary64) (.f64 x y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))) (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x y))))) (sqrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x y)))))
(sqrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(cbrt.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64)))
(cbrt.f64 (.f64 #s(literal 8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(.f64 #s(literal 2 binary64) (.f64 x y))
(log1p.f64 (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(.f64 #s(literal 2 binary64) (.f64 x y))
(exp.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(.f64 #s(literal 2 binary64) (.f64 x y))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 3 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x y))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (.f64 #s(literal 8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x y))

eval73.0ms (2.4%)

Compiler: Compiled 1 050 to 278 computations (73.5% saved)

prune15.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	110	3	113

Accuracy

100.0%

Counts

113 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))
✓	56.7%	(.f64 y (.f64 #s(literal 2 binary64) x))
✓	62.7%	(.f64 x (.f64 #s(literal 2 binary64) x))

Compiler

Compiled 51 to 28 computations (45.1% saved)

regimes9.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	x
2.0ms	y
2.0ms	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
2.0ms	(+.f64 (.f64 x x) (.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
100.0%	1	`(+.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes3.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
87.2%	3	`x`
87.8%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 x (.f64 #s(literal 2 binary64) x))

Outputs
(.f64 x (.f64 #s(literal 2 binary64) x))

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
62.7%	1	`x`
62.7%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch22.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.3597622789716753e-26	9.581685554235171e-25
12.0ms	-5.385319177606784e-26	-1.4104085045374742e-26

Samples

11.0ms

192×

valid

Compiler

Compiled 206 to 156 computations (24.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 6.0ms (86% of total)

ival-add: 1.0ms (14.3% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`
2×	`if-if-or-not`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	116
1	32	116

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y #s(literal -3223154579475129/174224571863520493293247799005065324265472 binary64)) (*.f64 y (*.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 2450033041830757/2722258935367507707706996859454145691648 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 y (*.f64 #s(literal 2 binary64) x))))

(*.f64 x (*.f64 #s(literal 2 binary64) x))

Outputs
(.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))
(.f64 (+.f64 x y) (.f64 x #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -3223154579475129/174224571863520493293247799005065324265472 binary64)) (.f64 y (.f64 #s(literal 2 binary64) x)) (if (<=.f64 y #s(literal 2450033041830757/2722258935367507707706996859454145691648 binary64)) (.f64 x (.f64 #s(literal 2 binary64) x)) (.f64 y (.f64 #s(literal 2 binary64) x))))
(if (or (<=.f64 y #s(literal -3223154579475129/174224571863520493293247799005065324265472 binary64)) (not (<=.f64 y #s(literal 2450033041830757/2722258935367507707706996859454145691648 binary64)))) (.f64 y (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x #s(literal 2 binary64))))
(.f64 x (.f64 #s(literal 2 binary64) x))
(.f64 x (.f64 x #s(literal 2 binary64)))

soundness472.0ms (15.7%)

Rules

829×	`fma-define`
627×	`fma-define`
553×	`fmm-def`
551×	`unswap-sqr`
459×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	212
1	95	196
2	276	196
3	785	196
4	1512	196
5	2584	196
6	2978	196
7	3096	196
8	3128	196
9	3138	196
10	3139	196
0	309	4701
1	674	4617
2	1806	4524
3	6076	3636

Stop Event

1×	done
1×	node limit
1×	saturated

Compiler

Compiled 103 to 41 computations (60.2% saved)

preprocess37.0ms (1.2%)

Compiler: Compiled 106 to 56 computations (47.2% saved)

Linear.Matrix:fromQuaternion from linear-1.19.1.3, B

analyze235.0ms (7.8%)

sample905.0ms (30.2%)

preprocess151.0ms (5%)

explain167.0ms (5.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.3%)

localize68.0ms (2.3%)

series7.0ms (0.2%)

rewrite340.0ms (11.3%)

simplify114.0ms (3.8%)

eval21.0ms (0.7%)

prune39.0ms (1.3%)

simplify96.0ms (3.2%)

localize23.0ms (0.8%)

series4.0ms (0.1%)

rewrite71.0ms (2.4%)

simplify108.0ms (3.6%)

eval73.0ms (2.4%)

prune15.0ms (0.5%)

regimes9.0ms (0.3%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch22.0ms (0.7%)

simplify3.0ms (0.1%)

soundness472.0ms (15.7%)

preprocess37.0ms (1.2%)

end0.0ms (0%)

Profiling