Metrics for Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, B

analyze15.0ms (0.4%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

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

ival-mult: 2.0ms (42.1% of total)

ival-div: 1.0ms (21% of total)

ival-add: 1.0ms (21% of total)

const: 0.0ms (0% of total)

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

sample867.0ms (23.6%)

Results

679.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 353.0ms

ival-mult: 132.0ms (37.4% of total)

ival-div: 126.0ms (35.7% of total)

ival-add: 81.0ms (22.9% of total)

const: 11.0ms (3.1% of total)

backward-pass: 2.0ms (0.6% of total)

Bogosity

preprocess118.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1366×	`fma-define`
243×	`times-frac`
164×	`fmm-def`
152×	`unsub-neg`
119×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	220
1	61	204
2	156	196
3	454	196
4	1263	196
5	2094	196
6	3074	196
7	3432	196
8	3492	196
9	3504	196

Stop Event

1×

saturated

Calls

Call 1

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

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

explain130.0ms (3.5%)

FPErrors

Click to see full error table

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

Results

111.0ms

512×

valid

Compiler

Compiled 47 to 20 computations (57.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-add: 51.0ms (84.6% of total)

ival-mult: 5.0ms (8.3% of total)

ival-div: 4.0ms (6.6% of total)

const: 1.0ms (1.7% of total)

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

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.7%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	100.0%	(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify15.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

3×	`1-exp`
3×	`*-commutative`
1×	`associate-/l*`
1×	`associate-*r/`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	126
1	22	126
2	24	126
3	25	126

Stop Event

1×

saturated

Calls

Call 1

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

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

localize297.0ms (8.1%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	89.7%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))

Results

285.0ms

256×

valid

Compiler

Compiled 37 to 9 computations (75.7% saved)

Precisions

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

ival-div: 4.0ms (40.9% of total)

ival-mult: 4.0ms (40.9% of total)

ival-add: 2.0ms (20.4% of total)

const: 0.0ms (0% of total)

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

series224.0ms (6.1%)

Counts

5 → 72

Calls

Call 1

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

Outputs
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x y)>
#<alt (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (*.f64 x y))))>
#<alt (.f64 y (+.f64 x (.f64 y (-.f64 (*.f64 x y) x))))>
#<alt (.f64 y (+.f64 x (.f64 y (-.f64 (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (.f64 #s(literal -1 binary64) x))) x))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt (-.f64 (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y))>
#<alt (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y)))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))) y)))>
#<alt (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))) y))) y)))>
#<alt y>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) y)))>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 y #s(literal 1 binary64)))))>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 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) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))) y)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 #s(literal 1 binary64) y)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x y)>
#<alt (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (*.f64 x y))))>
#<alt (.f64 y (+.f64 x (.f64 y (-.f64 (*.f64 x y) x))))>
#<alt (.f64 y (+.f64 x (.f64 y (-.f64 (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (.f64 #s(literal -1 binary64) x))) x))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt (-.f64 (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y))>
#<alt (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y)))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))) y)))>
#<alt (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y))) y))) y)))>

Calls

24 calls:

Time	Variable		Point	Expression
216.0ms	x	@	inf	(* x (/ y (+ y 1)))
1.0ms	x	@	0	(* x (/ y (+ y 1)))
1.0ms	y	@	0	(* x y)
1.0ms	y	@	inf	(* x (/ y (+ y 1)))
0.0ms	y	@	0	(* x (/ y (+ y 1)))

rewrite474.0ms (12.9%)

Algorithm

1×	batch-egg-rewrite

Rules

801×	`log1p-expm1-u`
801×	`expm1-log1p-u`
451×	`log-prod`
188×	`pow2`
184×	`pow-unpow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	98
1	174	98
2	2193	98

Stop Event

1×	node limit

Counts

5 → 219

Calls

Call 1

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

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

simplify180.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

335×	`exp-prod`
299×	`cube-prod`
259×	`cancel-sign-sub-inv`
255×	`distribute-lft-neg-in`
242×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	471	7818
1	1050	7628
2	3554	7081

Stop Event

1×	node limit

Counts

291 → 273

Calls

Call 1

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

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

eval92.0ms (2.5%)

Compiler: Compiled 3908 to 832 computations (78.7% saved)

prune42.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	317	4	321
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	319	4	323

Accuracy

100.0%

Counts

323 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
▶	52.4%	(-.f64 x (/.f64 x y))
▶	49.7%	(*.f64 x y)
▶	53.0%	x

Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify60.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

373×	`fma-define`
215×	`fmm-def`
95×	`associate-l`
56×	`div-sub`
42×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	129
1	26	129
2	39	129
3	58	129
4	83	129
5	126	129
6	187	129
7	345	129
8	801	129
9	1275	129
10	1456	129
11	1473	129
12	1485	129

Stop Event

1×

saturated

Calls

Call 1

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

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

localize44.0ms (1.2%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
✓	accuracy	99.8%	(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(-.f64 x (/.f64 x y))
	accuracy	100.0%	(*.f64 x y)

Results

31.0ms

256×

valid

Compiler

Compiled 38 to 11 computations (71.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 6.0ms (46.9% of total)

ival-sub: 3.0ms (23.5% of total)

ival-mult: 3.0ms (23.5% of total)

const: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Counts

5 → 60

Calls

Call 1

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

Outputs
#<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 (*.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 (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (/.f64 (-.f64 (*.f64 x y) x) y)>
#<alt (/.f64 (-.f64 (*.f64 x y) x) y)>
#<alt (/.f64 (-.f64 (*.f64 x y) x) 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 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 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 (/.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 (/.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 (*.f64 x y)>
#<alt (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (*.f64 x y))))>
#<alt (.f64 y (+.f64 x (.f64 y (-.f64 (*.f64 x y) x))))>
#<alt (.f64 y (+.f64 x (.f64 y (-.f64 (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (.f64 #s(literal -1 binary64) x))) x))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt (-.f64 (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y))>
#<alt (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y)))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) x)) y)))>
#<alt (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -1 binary64) x)) y)) (*.f64 #s(literal -1 binary64) x)) y)))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) y) y)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) y) y)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) y) y)>
#<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 #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))>

Calls

24 calls:

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

rewrite149.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1038×	`log1p-expm1-u`
1038×	`expm1-log1p-u`
777×	`prod-diff`
86×	`add-cube-cbrt`
85×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	86
1	190	86
2	2815	86

Stop Event

1×	node limit

Counts

5 → 240

Calls

Call 1

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

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

simplify154.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

647×	`fmm-def`
342×	`distribute-lft-neg-in`
296×	`distribute-rgt-neg-in`
219×	`sub-neg`
193×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	571	11268
1	1440	9240
2	4364	7892

Stop Event

1×	node limit

Counts

300 → 300

Calls

Call 1

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

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

eval42.0ms (1.1%)

Compiler: Compiled 5576 to 828 computations (85.2% saved)

prune41.0ms (1.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	322	1	323
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	322	5	327

Accuracy

100.0%

Counts

327 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.5%	(/.f64 x (/.f64 #s(literal 1 binary64) y))
✓	99.8%	(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
✓	52.4%	(-.f64 x (/.f64 x y))
✓	49.7%	(*.f64 x y)
✓	53.0%	x

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) y))

Rules

3×	`1-exp`
2×	`associate-/l/`
2×	`/-rgt-identity`
2×	`associate-/r/`
1×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	18	32
2	21	32
3	28	32
4	28	32

Stop Event

1×

saturated

Calls

Call 1

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

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

localize20.0ms (0.5%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 x (/.f64 #s(literal 1 binary64) y))

Results

14.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-div: 4.0ms (86.5% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

2 → 24

Calls

Call 1

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

Outputs
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>

Calls

9 calls:

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

rewrite80.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

454×	`unpow-prod-down`
444×	`log1p-expm1-u`
444×	`expm1-log1p-u`
430×	`add-exp-log`
412×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	104	23
2	1312	23

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

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

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

simplify101.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

812×	`fmm-def`
601×	`cube-prod`
595×	`exp-prod`
397×	`times-frac`
269×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	306	4294970173
1	574	4294970101
2	1407	4294970077
3	5671	4294970077

Stop Event

1×	node limit

Counts

142 → 142

Calls

Call 1

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

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

eval17.0ms (0.5%)

Compiler: Compiled 1443 to 406 computations (71.9% saved)

prune22.0ms (0.6%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	142	5	147

Accuracy

100.0%

Counts

147 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.5%	(/.f64 x (/.f64 #s(literal 1 binary64) y))
✓	99.8%	(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
✓	52.4%	(-.f64 x (/.f64 x y))
✓	49.7%	(*.f64 x y)
✓	53.0%	x

Compiler

Compiled 68 to 37 computations (45.6% saved)

regimes9.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	y
3.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
3.0ms	x

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
61.5%	3	`x`
99.5%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 x y)

Outputs
x
(*.f64 x y)
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.9%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
53.0%	1	`x`
53.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch32.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.7409574802670912e-8	222429405.41586027
14.0ms	-3969662.5360718616	-9.746381168391163e-11

Results

20.0ms

320×

valid

Compiler

Compiled 294 to 190 computations (35.4% saved)

Precisions

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

ival-mult: 5.0ms (45.1% of total)

ival-div: 4.0ms (36.1% of total)

ival-add: 2.0ms (18.1% of total)

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.7409574802670912e-8	222429405.41586027
15.0ms	-3969662.5360718616	-9.746381168391163e-11

Results

20.0ms

320×

valid

Compiler

Compiled 214 to 150 computations (29.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (39.9% of total)

ival-div: 2.0ms (26.6% of total)

ival-add: 2.0ms (26.6% of total)

const: 0.0ms (0% of total)

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative`
5×	`+-commutative`
4×	`sub-neg`
4×	`if-if-or-not`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	143
1	45	143
2	52	143
3	58	143
4	63	143
5	65	143

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 x y)) (if (<=.f64 y #s(literal 3039929748475085/2251799813685248 binary64)) (*.f64 x y) (-.f64 x (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 1 binary64)) (*.f64 x y) x))
x

Outputs
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 x y)) (if (<=.f64 y #s(literal 3039929748475085/2251799813685248 binary64)) (*.f64 x y) (-.f64 x (/.f64 x y))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 3039929748475085/2251799813685248 binary64)))) (-.f64 x (/.f64 x y)) (*.f64 x y))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 1 binary64)) (*.f64 x y) x))
x

soundness334.0ms (9.1%)

Rules

1366×	`fma-define`
335×	`exp-prod`
299×	`cube-prod`
259×	`cancel-sign-sub-inv`
255×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	471	7818
1	1050	7628
2	3554	7081
0	24	220
1	61	204
2	156	196
3	454	196
4	1263	196
5	2094	196
6	3074	196
7	3432	196
8	3492	196
9	3504	196

Stop Event

1×	done
1×	saturated
1×	node limit

Compiler

Compiled 76 to 36 computations (52.6% saved)

preprocess42.0ms (1.1%)

Compiler: Compiled 176 to 84 computations (52.3% saved)

Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, B

analyze15.0ms (0.4%)

sample867.0ms (23.6%)

preprocess118.0ms (3.2%)

explain130.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.4%)

localize297.0ms (8.1%)

series224.0ms (6.1%)

rewrite474.0ms (12.9%)

simplify180.0ms (4.9%)

eval92.0ms (2.5%)

prune42.0ms (1.1%)

simplify60.0ms (1.6%)

localize44.0ms (1.2%)

series9.0ms (0.2%)

rewrite149.0ms (4.1%)

simplify154.0ms (4.2%)

eval42.0ms (1.1%)

prune41.0ms (1.1%)

simplify7.0ms (0.2%)

localize20.0ms (0.5%)

series1.0ms (0%)

rewrite80.0ms (2.2%)

simplify101.0ms (2.8%)

eval17.0ms (0.5%)

prune22.0ms (0.6%)

regimes9.0ms (0.2%)

regimes6.0ms (0.2%)

regimes2.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch32.0ms (0.9%)

bsearch32.0ms (0.9%)

simplify7.0ms (0.2%)

soundness334.0ms (9.1%)

preprocess42.0ms (1.1%)

end0.0ms (0%)

Profiling