Metrics for Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, A

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample703.0ms (17.6%)

Samples

543.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 261.0ms

ival-add: 150.0ms (57.5% of total)

ival-mult: 62.0ms (23.8% of total)

ival-sub: 38.0ms (14.6% of total)

ival-true: 7.0ms (2.7% of total)

ival-assert: 5.0ms (1.9% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess102.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

636×	`fmm-def`
531×	`fma-define`
118×	`cancel-sign-sub-inv`
66×	`distribute-lft-neg-in`
66×	`distribute-rgt-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	241
1	68	217
2	180	191
3	548	174
4	1341	168
5	2183	168
6	2428	168
7	2435	168

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
(-.f64 (+.f64 x y) (*.f64 x y))
(-.f64 (+.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y))
(-.f64 (+.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))
(neg.f64 (-.f64 (+.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y)))
(neg.f64 (-.f64 (+.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))))
(-.f64 (+.f64 y x) (*.f64 y x))

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

Symmetry

(sort x y)

explain71.0ms (1.8%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (+.f64 x y) (*.f64 x y))`
-	-	`y`
-	-	`(+.f64 x y)`
-	-	`(*.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

29.0ms

512×

valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 4.0ms (40.4% of total)

ival-add: 3.0ms (30.3% of total)

ival-sub: 2.0ms (20.2% of total)

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

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

eval0.0ms (0%)

Compiler: Compiled 22 to 10 computations (54.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
▶	100.0%	(-.f64 (+.f64 x y) (*.f64 x y))

Compiler

Compiled 17 to 10 computations (41.2% saved)

simplify36.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

234×	`fmm-def`
210×	`fma-define`
39×	`distribute-rgt-in`
39×	`sub-neg`
35×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	115
1	33	115
2	60	101
3	99	101
4	195	101
5	364	101
6	618	101
7	866	101
8	973	101
9	986	101

Stop Event

1×

saturated

Calls

Call 1

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

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

localize38.0ms (1%)

Localize:

Found 5 expressions of interest:

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

Samples

23.0ms

256×

valid

Compiler

Compiled 29 to 10 computations (65.5% saved)

Precisions

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

ival-mult: 4.0ms (36.4% of total)

ival-fma: 3.0ms (27.3% of total)

ival-sub: 2.0ms (18.2% of total)

ival-add: 2.0ms (18.2% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Counts

5 → 78

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite268.0ms (6.7%)

Algorithm

1×	batch-egg-rewrite

Rules

983×	`log1p-expm1-u`
983×	`expm1-log1p-u`
558×	`fma-define`
248×	`fmm-def`
151×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	98
1	189	84
2	2840	84

Stop Event

1×	node limit

Counts

5 → 311

Calls

Call 1

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

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

simplify174.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

595×	`fmm-def`
384×	`distribute-lft-neg-in`
332×	`distribute-rgt-neg-in`
227×	`associate-+l+`
224×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	529	13296
1	1227	12866
2	3725	12158

Stop Event

1×	node limit

Counts

389 → 308

Calls

Call 1

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

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

eval37.0ms (0.9%)

Compiler: Compiled 4 430 to 729 computations (83.5% saved)

prune42.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	305	3	308
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	306	4	310

Accuracy

100.0%

Counts

310 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 x y) (*.f64 x y))
▶	62.1%	(-.f64 y (*.f64 x y))
▶	60.5%	(-.f64 x (*.f64 x y))
▶	87.2%	(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y))

Compiler

Compiled 34 to 20 computations (41.2% saved)

simplify197.0ms (4.9%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(-.f64 y (*.f64 x y))
	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(-.f64 x (*.f64 x y))
✓	cost-diff	-6400	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y)
✓	cost-diff	-6144	(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 y x))

Rules

2 111×	`fmm-def`
674×	`fma-define`
465×	`distribute-lft-in`
430×	`distribute-rgt-in`
395×	`times-frac`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	192
1	35	192
2	68	188
3	146	185
4	314	185
5	656	173
6	1306	173
7	2138	172
8	4319	172
9	5461	172
10	6009	172
11	6202	172
12	6233	172
13	6265	172

Stop Event

1×	node limit

Calls

Call 1

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

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

localize66.0ms (1.7%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 y (*.f64 x y))
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 x (*.f64 x y))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 y x))
✓	accuracy	100.0%	(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y)
✓	accuracy	87.2%	(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y))

Samples

54.0ms

256×

valid

Compiler

Compiled 49 to 12 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-add: 30.0ms (75.5% of total)

ival-sub: 3.0ms (7.6% of total)

ival-mult: 3.0ms (7.6% of total)

ival-div: 2.0ms (5% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Counts

6 → 102

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite153.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`log1p-expm1-u`
932×	`expm1-log1p-u`
351×	`fmm-def`
216×	`expm1-undefine`
213×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	141
1	242	135
2	3835	135

Stop Event

1×	node limit

Counts

6 → 229

Calls

Call 1

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

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

simplify224.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

382×	`distribute-lft-neg-in`
347×	`distribute-rgt-neg-in`
253×	`fma-define`
250×	`sub-neg`
224×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	527	11654
1	1272	10468
2	4457	9742

Stop Event

1×	node limit

Counts

331 → 309

Calls

Call 1

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

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

eval39.0ms (1%)

Compiler: Compiled 4 751 to 977 computations (79.4% saved)

prune46.0ms (1.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	335	4	339
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	336	7	343

Accuracy

100.0%

Counts

343 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 x y) (*.f64 x y))
✓	62.1%	(-.f64 y (*.f64 x y))
✓	60.5%	(-.f64 x (*.f64 x y))
▶	23.5%	(*.f64 y (neg.f64 x))
▶	49.3%	(*.f64 x (-.f64 (/.f64 y x) y))
▶	40.6%	y
▶	39.2%	x

Compiler

Compiled 44 to 26 computations (40.9% saved)

simplify188.0ms (4.7%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 y (neg.f64 x))
	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(-.f64 (/.f64 y x) y)
✓	cost-diff	128	(*.f64 x (-.f64 (/.f64 y x) y))

Rules

1 253×	`fma-define`
1 010×	`fmm-def`
479×	`associate-/l/`
466×	`times-frac`
369×	`div-sub`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	115
1	23	115
2	41	115
3	68	115
4	105	103
5	170	103
6	341	103
7	751	103
8	2642	103
9	5296	103
10	6084	103
11	6308	103
12	6374	103
13	6390	103
14	7564	103

Stop Event

1×	node limit

Calls

Call 1

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

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

localize59.0ms (1.5%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(-.f64 (/.f64 y x) y)
✓	accuracy	87.2%	(*.f64 x (-.f64 (/.f64 y x) y))

Samples

36.0ms

256×

valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 3.0ms (34.8% of total)

ival-div: 2.0ms (23.2% of total)

ival-sub: 1.0ms (11.6% of total)

ival-neg: 1.0ms (11.6% of total)

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

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

series6.0ms (0.2%)

Counts

4 → 78

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite182.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`log1p-expm1-u`
768×	`expm1-log1p-u`
619×	`prod-diff`
408×	`log-prod`
237×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	78
1	166	70
2	2413	70

Stop Event

1×	node limit

Counts

4 → 202

Calls

Call 1

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

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

simplify146.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

462×	`associate-/l*`
332×	`*-commutative`
299×	`fmm-def`
286×	`associate-*r/`
260×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	414	7487
1	824	6871
2	2617	6651

Stop Event

1×	node limit

Counts

280 → 250

Calls

Call 1

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

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

eval35.0ms (0.9%)

Compiler: Compiled 3 834 to 821 computations (78.6% saved)

prune114.0ms (2.9%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	300	1	301
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	300	8	308

Accuracy

100.0%

Counts

308 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 x y) (*.f64 x y))
✓	62.1%	(-.f64 y (*.f64 x y))
✓	60.5%	(-.f64 x (*.f64 x y))
✓	23.5%	(*.f64 y (neg.f64 x))
▶	27.9%	(*.f64 x (/.f64 y x))
✓	49.3%	(*.f64 x (-.f64 (/.f64 y x) y))
✓	40.6%	y
✓	39.2%	x

Compiler

Compiled 51 to 30 computations (41.2% saved)

simplify377.0ms (9.5%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(/.f64 y x)
✓	cost-diff	256	(*.f64 x (/.f64 y x))

Rules

1 107×	`cube-prod`
981×	`cube-div`
847×	`swap-sqr`
646×	`associate-/r/`
467×	`pow-sqr`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	61
1	12	61
2	14	61
3	16	37
4	18	25
5	24	25
6	49	25
7	119	25
8	576	25
9	1666	25
10	2435	25
11	3112	25
12	3790	25
13	4796	25
14	5162	25
15	5274	25
16	5356	25
17	5448	25
18	5549	25
19	6781	25
20	7366	25
21	7490	25
22	7584	25
23	7672	25
24	7759	25
25	7848	25
26	7949	25

Stop Event

1×	node limit

Calls

Call 1

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

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

localize17.0ms (0.4%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(/.f64 y x)
✓	accuracy	75.9%	(*.f64 x (/.f64 y x))

Samples

12.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-div: 2.0ms (45.7% of total)

ival-mult: 2.0ms (45.7% of total)

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

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

series1.0ms (0%)

Counts

1 → 24

Calls

Call 1

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

Outputs
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>

Calls

6 calls:

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

rewrite76.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

468×	`unpow-prod-down`
464×	`log1p-expm1-u`
464×	`expm1-log1p-u`
446×	`add-exp-log`
431×	`add-log-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	93	22
2	1243	4

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

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

simplify58.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

484×	`fmm-def`
478×	`distribute-rgt-neg-in`
459×	`distribute-lft-neg-in`
359×	`times-frac`
305×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	341
1	167	341
2	482	341
3	2543	341

Stop Event

1×	node limit

Counts

55 → 33

Calls

Call 1

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

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

eval10.0ms (0.2%)

Compiler: Compiled 782 to 241 computations (69.2% saved)

prune46.0ms (1.2%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	84	8	92

Accuracy

100.0%

Counts

92 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 x y) (*.f64 x y))
✓	62.1%	(-.f64 y (*.f64 x y))
✓	60.5%	(-.f64 x (*.f64 x y))
✓	23.5%	(*.f64 y (neg.f64 x))
✓	27.9%	(*.f64 x (/.f64 y x))
✓	49.3%	(*.f64 x (-.f64 (/.f64 y x) y))
✓	40.6%	y
✓	39.2%	x

Compiler

Compiled 103 to 49 computations (52.4% saved)

regimes14.0ms (0.4%)

Counts

10 → 1

Calls

Call 1

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

Outputs
(-.f64 (+.f64 x y) (*.f64 x y))

Calls

3 calls:

6.0ms	y
4.0ms	(-.f64 (+.f64 x y) (*.f64 x y))
4.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes6.0ms (0.2%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
91.4%	2	`x`
90.4%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
73.3%	2	`y`
90.8%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0.1%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
78.8%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.2%)

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

2 calls:

5.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
68.8%	2	`y`
69.5%	2	`x`

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
x

Outputs
x

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
39.2%	1	`y`
39.2%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch10.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-8.572183196518284e-65	-7.766147221460601e-69

Samples

6.0ms

128×

valid

Compiler

Compiled 140 to 90 computations (35.7% saved)

Precisions

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

ival-sub: 1.0ms (40.7% of total)

ival-add: 1.0ms (40.7% of total)

ival-mult: 1.0ms (40.7% of total)

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

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

bsearch88.0ms (2.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.1819537643444866	5364933985339388.0
74.0ms	-8.572183196518284e-65	-7.766147221460601e-69

Samples

75.0ms

288×

valid

Compiler

Compiled 218 to 154 computations (29.4% saved)

Precisions

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

ival-add: 2.0ms (36.4% of total)

ival-mult: 2.0ms (36.4% of total)

ival-sub: 1.0ms (18.2% of total)

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

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

bsearch34.0ms (0.9%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.1819537643444866	5364933985339388.0
9.0ms	-8.572183196518284e-65	-7.766147221460601e-69
10.0ms	-1.5405144570356356e+250	-2.6476814401086274e+248

Samples

19.0ms

400×

valid

Compiler

Compiled 263 to 194 computations (26.2% saved)

Precisions

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

ival-mult: 3.0ms (40.3% of total)

ival-sub: 2.0ms (26.9% of total)

ival-add: 2.0ms (26.9% of total)

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

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

bsearch63.0ms (1.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-8.572183196518284e-65	-7.766147221460601e-69

Samples

6.0ms

128×

valid

Compiler

Compiled 76 to 58 computations (23.7% saved)

Precisions

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

ival-sub: 1.0ms (39.2% of total)

ival-add: 1.0ms (39.2% of total)

ival-mult: 1.0ms (39.2% of total)

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

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative`
6×	`sub-neg`
6×	`cancel-sign-sub-inv`
5×	`*-commutative`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	256
1	57	256
2	70	256
3	75	256
4	78	256
5	79	256

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
(if (<=.f64 x #s(literal -8299976956530825/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) (-.f64 x (.f64 x y)) (-.f64 y (.f64 x y)))
(if (<=.f64 x #s(literal -6450267806218241/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (-.f64 x (.f64 x y)) (if (<=.f64 x #s(literal 1 binary64)) y (.f64 y (neg.f64 x))))
(if (<=.f64 x #s(literal -14000000000000000485134189680931786798311594956855727905064406302903107469684357342568839349237427404574000354099392674914002933862576804517691726027430145112049674426071641549045664109860820109068427156025620984014006094142238361929031751914764632064 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 x #s(literal -533569947205553/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) x (if (<=.f64 x #s(literal 1 binary64)) y (.f64 y (neg.f64 x)))))
(if (<=.f64 x #s(literal -2727135285717271/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) x y)
x

Outputs
(-.f64 (+.f64 x y) (*.f64 x y))
(if (<=.f64 x #s(literal -8299976956530825/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) (-.f64 x (.f64 x y)) (-.f64 y (.f64 x y)))
(if (<=.f64 x #s(literal -6450267806218241/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (-.f64 x (.f64 x y)) (if (<=.f64 x #s(literal 1 binary64)) y (.f64 y (neg.f64 x))))
(if (<=.f64 x #s(literal -6450267806218241/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (-.f64 x (.f64 x y)) (if (<=.f64 x #s(literal 1 binary64)) y (.f64 x (neg.f64 y))))
(if (<=.f64 x #s(literal -14000000000000000485134189680931786798311594956855727905064406302903107469684357342568839349237427404574000354099392674914002933862576804517691726027430145112049674426071641549045664109860820109068427156025620984014006094142238361929031751914764632064 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 x #s(literal -533569947205553/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) x (if (<=.f64 x #s(literal 1 binary64)) y (.f64 y (neg.f64 x)))))
(if (<=.f64 x #s(literal -14000000000000000485134189680931786798311594956855727905064406302903107469684357342568839349237427404574000354099392674914002933862576804517691726027430145112049674426071641549045664109860820109068427156025620984014006094142238361929031751914764632064 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 x #s(literal -533569947205553/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) x (if (<=.f64 x #s(literal 1 binary64)) y (.f64 x (neg.f64 y)))))
(if (<=.f64 x #s(literal -2727135285717271/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) x y)
x

soundness177.0ms (4.4%)

Rules

382×	`distribute-lft-neg-in`
347×	`distribute-rgt-neg-in`
253×	`fma-define`
250×	`sub-neg`
224×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	527	11654
1	1272	10468
2	4457	9742

Stop Event

1×	done
1×	node limit

Compiler

Compiled 90 to 37 computations (58.9% saved)

preprocess44.0ms (1.1%)

Remove: (sort x y)
Compiler: Compiled 212 to 94 computations (55.7% saved)

Iter	Nodes	Cost
0	14	115
1	33	115
2	60	101
3	99	101
4	195	101
5	364	101
6	618	101
7	866	101
8	973	101
9	986	101

Iter	Nodes	Cost
0	14	115
1	33	115
2	60	101
3	99	101
4	195	101
5	364	101
6	618	101
7	866	101
8	973	101
9	986	101

analyze0.0ms (0%)

sample703.0ms (17.6%)

preprocess102.0ms (2.6%)

explain71.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify36.0ms (0.9%)

localize38.0ms (1%)

series8.0ms (0.2%)

rewrite268.0ms (6.7%)

simplify174.0ms (4.4%)

eval37.0ms (0.9%)

prune42.0ms (1%)

simplify197.0ms (4.9%)

localize66.0ms (1.7%)

series9.0ms (0.2%)

rewrite153.0ms (3.8%)

simplify224.0ms (5.6%)

eval39.0ms (1%)

prune46.0ms (1.1%)

simplify188.0ms (4.7%)

localize59.0ms (1.5%)

series6.0ms (0.2%)

rewrite182.0ms (4.6%)

simplify146.0ms (3.6%)

eval35.0ms (0.9%)

prune114.0ms (2.9%)

simplify377.0ms (9.5%)

localize17.0ms (0.4%)

series1.0ms (0%)

rewrite76.0ms (1.9%)

simplify58.0ms (1.5%)

eval10.0ms (0.2%)

prune46.0ms (1.2%)

regimes14.0ms (0.4%)

regimes6.0ms (0.2%)

regimes5.0ms (0.1%)

regimes2.0ms (0.1%)

regimes7.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch10.0ms (0.3%)

bsearch88.0ms (2.2%)

bsearch34.0ms (0.9%)

bsearch63.0ms (1.6%)

simplify7.0ms (0.2%)

soundness177.0ms (4.4%)

preprocess44.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	115
1	33	115
2	60	101
3	99	101
4	195	101
5	364	101
6	618	101
7	866	101
8	973	101
9	986	101