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

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 6 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

const: 0.0ms (0% of total)

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

sample790.0ms (15.7%)

Results

493.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-mult: 71.0ms (40.2% of total)

ival-add: 55.0ms (31.2% of total)

ival-sub: 42.0ms (23.8% of total)

const: 7.0ms (4% of total)

backward-pass: 2.0ms (1.1% of total)

Bogosity

preprocess233.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

639×	`fma-neg`
535×	`fma-define`
118×	`cancel-sign-sub-inv`
69×	`distribute-lft-neg-in`
66×	`distribute-rgt-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	241
1	68	217
2	180	191
3	548	174
4	1346	168
5	2190	168
6	2435	168
7	2442	168

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(sort x y)

explain97.0ms (1.9%)

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Results

61.0ms

512×

valid

Compiler

Compiled 54 to 22 computations (59.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-sub: 31.0ms (70.9% of total)

ival-mult: 9.0ms (20.6% of total)

ival-add: 3.0ms (6.9% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify99.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

271×	`fma-define`
192×	`fma-neg`
36×	`sub-neg`
34×	`unsub-neg`
32×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	105
1	23	105
2	34	105
3	61	105
4	128	105
5	217	105
6	339	105
7	520	105
8	847	105
9	955	105
10	1000	105
11	1002	105

Stop Event

1×

saturated

Calls

Call 1

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

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

localize32.0ms (0.6%)

Localize:

Found 5 expressions of interest:

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

Results

22.0ms

256×

valid

Compiler

Compiled 33 to 8 computations (75.8% saved)

Precisions

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

ival-fma: 3.0ms (35% of total)

ival-sub: 2.0ms (23.3% of total)

ival-mult: 2.0ms (23.3% of total)

ival-add: 1.0ms (11.7% of total)

const: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Counts

4 → 69

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite310.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

923×	`prod-diff`
682×	`log1p-expm1-u`
682×	`expm1-log1p-u`
310×	`log-prod`
276×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	77
1	154	77
2	1820	77

Stop Event

1×	node limit

Counts

4 → 189

Calls

Call 1

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

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

simplify171.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

682×	`times-frac`
287×	`fma-neg`
285×	`associate-/l*`
269×	`*-commutative`
267×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	355	8499
1	776	7539
2	2283	7539
3	7803	7539

Stop Event

1×	node limit

Counts

258 → 195

Calls

Call 1

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

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

eval77.0ms (1.5%)

Compiler: Compiled 3134 to 619 computations (80.2% saved)

prune96.0ms (1.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	250	4	254
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	251	5	256

Accuracy

100.0%

Counts

256 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.5%	(+.f64 y (*.f64 y (neg.f64 x)))
✓	100.0%	(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
▶	75.3%	(+.f64 y x)
▶	61.5%	(*.f64 y (-.f64 #s(literal 1 binary64) x))
▶	37.3%	y

Compiler

Compiled 32 to 21 computations (34.4% saved)

simplify79.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 y (neg.f64 x))
✓	cost-diff	64	(+.f64 y (*.f64 y (neg.f64 x)))
✓	cost-diff	0	(+.f64 y x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 y (-.f64 #s(literal 1 binary64) x))

Rules

128×	`fma-define`
90×	`fma-neg`
22×	`sub-neg`
19×	`cancel-sign-sub-inv`
16×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	115
1	30	115
2	52	115
3	80	115
4	137	115
5	220	115
6	383	115
7	477	115
8	534	115
9	559	115
10	568	115
11	570	115

Stop Event

1×

saturated

Calls

Call 1

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

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

localize38.0ms (0.7%)

Localize:

Found 6 expressions of interest:

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

Results

27.0ms

256×

valid

Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions

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

ival-mult: 4.0ms (39.8% of total)

ival-add: 3.0ms (29.8% of total)

ival-sub: 2.0ms (19.9% of total)

ival-neg: 1.0ms (9.9% of total)

const: 0.0ms (0% of total)

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

series18.0ms (0.4%)

Counts

6 → 108

Calls

Call 1

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

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

Calls

30 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	(+ y (* y (neg x)))
1.0ms	x	@	-inf	(* y (- 1 x))
1.0ms	y	@	inf	(+ y (* y (neg x)))
1.0ms	y	@	0	(+ y (* y (neg x)))
1.0ms	y	@	inf	(* y (- 1 x))

rewrite274.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

820×	`log1p-expm1-u`
820×	`expm1-log1p-u`
416×	`fma-define`
391×	`log-prod`
235×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	86
1	203	76
2	3062	76

Stop Event

1×	node limit

Counts

6 → 461

Calls

Call 1

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

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

simplify381.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

381×	`fma-neg`
330×	`cancel-sign-sub-inv`
297×	`distribute-rgt-neg-in`
294×	`distribute-lft-neg-in`
242×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	592	13328
1	1201	12526
2	3872	11864

Stop Event

1×	node limit

Counts

569 → 411

Calls

Call 1

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

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

eval109.0ms (2.2%)

Compiler: Compiled 5010 to 860 computations (82.8% saved)

prune106.0ms (2.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	407	4	411
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	408	8	416

Accuracy

100.0%

Counts

416 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.5%	(-.f64 y (*.f64 y x))
▶	36.4%	(-.f64 y x)
✓	100.0%	(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
✓	75.3%	(+.f64 y x)
✓	61.5%	(*.f64 y (-.f64 #s(literal 1 binary64) x))
▶	26.3%	(*.f64 y (neg.f64 x))
✓	37.3%	y
▶	39.8%	x

Compiler

Compiled 45 to 29 computations (35.6% saved)

simplify26.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 y x)
✓	cost-diff	(-.f64 y (*.f64 y x))
✓	cost-diff	(-.f64 y x)
	cost-diff	(neg.f64 x)
	cost-diff	(*.f64 y (neg.f64 x))

Rules

123×	`fma-neg`
112×	`fma-define`
29×	`sub-neg`
26×	`cancel-sign-sub-inv`
18×	`associate--r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	101
1	25	101
2	41	100
3	78	98
4	144	98
5	255	98
6	348	98
7	482	98
8	561	98
9	575	98
10	576	98

Stop Event

1×

saturated

Calls

Call 1

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

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

localize32.0ms (0.6%)

Localize:

Found 5 expressions of interest:

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

Results

23.0ms

256×

valid

Compiler

Compiled 27 to 8 computations (70.4% saved)

Precisions

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

ival-mult: 4.0ms (46.5% of total)

ival-sub: 3.0ms (34.9% of total)

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

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

3 → 69

Calls

Call 1

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

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

18 calls:

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

rewrite113.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

722×	`log1p-expm1-u`
722×	`expm1-log1p-u`
611×	`unpow-prod-down`
368×	`fma-define`
339×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	48
1	129	45
2	1948	45

Stop Event

1×	node limit

Counts

3 → 255

Calls

Call 1

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

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

simplify145.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

607×	`distribute-lft-in`
601×	`times-frac`
535×	`distribute-rgt-in`
271×	`unswap-sqr`
253×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	545	8527
1	1132	8242
2	3084	8169

Stop Event

1×	node limit

Counts

324 → 306

Calls

Call 1

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

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

eval71.0ms (1.4%)

Compiler: Compiled 4569 to 773 computations (83.1% saved)

prune50.0ms (1%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	372	1	373
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	372	9	381

Accuracy

100.0%

Counts

381 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.5%	(-.f64 y (*.f64 y x))
✓	36.4%	(-.f64 y x)
✓	100.0%	(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
✓	75.3%	(+.f64 y x)
✓	61.5%	(*.f64 y (-.f64 #s(literal 1 binary64) x))
✓	26.3%	(*.f64 y (neg.f64 x))
▶	3.0%	(neg.f64 x)
✓	37.3%	y
✓	39.8%	x

Compiler

Compiled 49 to 32 computations (34.7% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(neg.f64 x)

Rules

3×	`sub-neg`
2×	`fma-define`
2×	`+-commutative`
1×	`*-commutative`
1×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	11	12
2	13	12
3	15	12
4	20	12
5	24	12
6	29	12

Stop Event

1×

saturated

Calls

Call 1

Inputs
(neg.f64 x)
x

Outputs
(neg.f64 x)
x

localize15.0ms (0.3%)

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(neg.f64 x)

Results

11.0ms

256×

valid

Compiler

Compiled 6 to 4 computations (33.3% saved)

Precisions

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

ival-neg: 1.0ms (60.8% of total)

const: 0.0ms (0% of total)

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

eval5.0ms (0.1%)

Compiler: Compiled 311 to 96 computations (69.1% saved)

prune9.0ms (0.2%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	44	9	53

Accuracy

100.0%

Counts

53 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.5%	(-.f64 y (*.f64 y x))
✓	36.4%	(-.f64 y x)
✓	100.0%	(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
✓	75.3%	(+.f64 y x)
✓	61.5%	(*.f64 y (-.f64 #s(literal 1 binary64) x))
✓	26.3%	(*.f64 y (neg.f64 x))
✓	3.0%	(neg.f64 x)
✓	37.3%	y
✓	39.8%	x

Compiler

Compiled 101 to 51 computations (49.5% saved)

regimes52.0ms (1%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

43.0ms	y
4.0ms	x
4.0ms	(-.f64 (+.f64 x y) (*.f64 x y))

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes12.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes10.0ms (0.2%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
83.1%	3	`x`
99.3%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.3%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
83.3%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(+.f64 y x)

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
75.3%	1	`x`
75.3%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

Inputs
x
y
(neg.f64 x)

Outputs
x
y

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
63.5%	2	`x`
64.1%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
39.8%	1	`x`
39.8%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch68.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
53.0ms	2.4296438244542867e-11	0.002594140803887592
13.0ms	-500.78885542000233	-3.867550817082626e-18

Results

15.0ms

320×

valid

Compiler

Compiled 283 to 189 computations (33.2% saved)

Precisions

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

ival-mult: 3.0ms (47.1% of total)

ival-sub: 2.0ms (31.4% of total)

ival-add: 2.0ms (31.4% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.4296438244542867e-11	0.002594140803887592
15.0ms	-500.78885542000233	-3.867550817082626e-18

Results

15.0ms

320×

valid

Compiler

Compiled 283 to 198 computations (30% saved)

Precisions

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

ival-mult: 3.0ms (44.5% of total)

ival-sub: 2.0ms (29.7% of total)

ival-add: 2.0ms (29.7% of total)

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	9.245075142283373e+132	2.2315763985673363e+135
14.0ms	-500.78885542000233	-3.867550817082626e-18

Results

18.0ms

288×

valid

Compiler

Compiled 248 to 171 computations (31% saved)

Precisions

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

ival-add: 2.0ms (34% of total)

ival-mult: 2.0ms (34% of total)

ival-sub: 1.0ms (17% of total)

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.2153813248866994e-94	5.526620017624884e-89

Results

6.0ms

144×

valid

Compiler

Compiled 86 to 63 computations (26.7% saved)

Precisions

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

ival-sub: 1.0ms (34.8% of total)

ival-add: 1.0ms (34.8% of total)

ival-mult: 1.0ms (34.8% of total)

const: 0.0ms (0% of total)

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
7×	`*-commutative`
6×	`sub-neg`
3×	`1-exp`
3×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	299
1	66	299
2	76	299
3	81	299
4	83	299

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(if (<=.f64 y #s(literal -500 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 y #s(literal 5764607523034235/2305843009213693952 binary64)) (+.f64 y x) (-.f64 y (.f64 y x))))
(if (<=.f64 y #s(literal -500 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 y #s(literal 5764607523034235/2305843009213693952 binary64)) (+.f64 y x) (.f64 y (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -500 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 y #s(literal 1199999999999999986473752486264285206838072053569790610855807358511414395250028785569525327408028405313009663498361378258363163319730176 binary64)) (+.f64 y x) (.f64 y (neg.f64 x))))
(+.f64 y x)
(if (<=.f64 y #s(literal 7883901492465871/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) x y)
x

Outputs
(fma.f64 x (-.f64 #s(literal 1 binary64) y) y)
(+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(if (<=.f64 y #s(literal -500 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 y #s(literal 5764607523034235/2305843009213693952 binary64)) (+.f64 y x) (-.f64 y (.f64 y x))))
(if (<=.f64 y #s(literal -500 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 y #s(literal 5764607523034235/2305843009213693952 binary64)) (+.f64 x y) (-.f64 y (.f64 x y))))
(if (<=.f64 y #s(literal -500 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 y #s(literal 5764607523034235/2305843009213693952 binary64)) (+.f64 x y) (-.f64 y (.f64 x y))))
(if (<=.f64 y #s(literal -500 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 y #s(literal 5764607523034235/2305843009213693952 binary64)) (+.f64 y x) (.f64 y (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -500 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 y #s(literal 5764607523034235/2305843009213693952 binary64)) (+.f64 x y) (.f64 y (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -500 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 y #s(literal 5764607523034235/2305843009213693952 binary64)) (+.f64 x y) (.f64 y (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -500 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 y #s(literal 1199999999999999986473752486264285206838072053569790610855807358511414395250028785569525327408028405313009663498361378258363163319730176 binary64)) (+.f64 y x) (.f64 y (neg.f64 x))))
(if (or (<=.f64 y #s(literal -500 binary64)) (not (<=.f64 y #s(literal 1199999999999999986473752486264285206838072053569790610855807358511414395250028785569525327408028405313009663498361378258363163319730176 binary64)))) (*.f64 y (neg.f64 x)) (+.f64 x y))
(if (or (<=.f64 y #s(literal -500 binary64)) (not (<=.f64 y #s(literal 1199999999999999986473752486264285206838072053569790610855807358511414395250028785569525327408028405313009663498361378258363163319730176 binary64)))) (*.f64 x (neg.f64 y)) (+.f64 x y))
(+.f64 y x)
(+.f64 x y)
(if (<=.f64 y #s(literal 7883901492465871/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) x y)
x

soundness1.3s (26.6%)

Rules

820×	`log1p-expm1-u`
820×	`expm1-log1p-u`
682×	`times-frac`
639×	`fma-neg`
535×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	86
1	203	76
2	3062	76
0	592	13328
1	1201	12526
2	3872	11864
0	24	241
1	68	217
2	180	191
3	548	174
4	1346	168
5	2190	168
6	2435	168
7	2442	168
0	355	8499
1	776	7539
2	2283	7539
3	7803	7539

Stop Event

1×	done
1×	node limit
1×	saturated
1×	node limit
1×	node limit

Compiler

Compiled 386 to 145 computations (62.4% saved)

preprocess53.0ms (1.1%)

Compiler: Compiled 260 to 120 computations (53.8% saved)

Iter	Nodes	Cost
0	15	115
1	30	115
2	52	115
3	80	115
4	137	115
5	220	115
6	383	115
7	477	115
8	534	115
9	559	115
10	568	115
11	570	115

Iter	Nodes	Cost
0	13	101
1	25	101
2	41	100
3	78	98
4	144	98
5	255	98
6	348	98
7	482	98
8	561	98
9	575	98
10	576	98

Iter	Nodes	Cost
0	15	115
1	30	115
2	52	115
3	80	115
4	137	115
5	220	115
6	383	115
7	477	115
8	534	115
9	559	115
10	568	115
11	570	115

Iter	Nodes	Cost
0	13	101
1	25	101
2	41	100
3	78	98
4	144	98
5	255	98
6	348	98
7	482	98
8	561	98
9	575	98
10	576	98

analyze0.0ms (0%)

sample790.0ms (15.7%)

preprocess233.0ms (4.6%)

explain97.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify99.0ms (2%)

localize32.0ms (0.6%)

series8.0ms (0.2%)

rewrite310.0ms (6.2%)

simplify171.0ms (3.4%)

eval77.0ms (1.5%)

prune96.0ms (1.9%)

simplify79.0ms (1.6%)

localize38.0ms (0.7%)

series18.0ms (0.4%)

rewrite274.0ms (5.4%)

simplify381.0ms (7.6%)

eval109.0ms (2.2%)

prune106.0ms (2.1%)

simplify26.0ms (0.5%)

localize32.0ms (0.6%)

series4.0ms (0.1%)

rewrite113.0ms (2.3%)

simplify145.0ms (2.9%)

eval71.0ms (1.4%)

prune50.0ms (1%)

simplify7.0ms (0.1%)

localize15.0ms (0.3%)

eval5.0ms (0.1%)

prune9.0ms (0.2%)

regimes52.0ms (1%)

regimes12.0ms (0.2%)

regimes10.0ms (0.2%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes5.0ms (0.1%)

regimes8.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch68.0ms (1.4%)

bsearch28.0ms (0.6%)

bsearch32.0ms (0.6%)

bsearch14.0ms (0.3%)

simplify7.0ms (0.1%)

soundness1.3s (26.6%)

preprocess53.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	115
1	30	115
2	52	115
3	80	115
4	137	115
5	220	115
6	383	115
7	477	115
8	534	115
9	559	115
10	568	115
11	570	115

Iter	Nodes	Cost
0	13	101
1	25	101
2	41	100
3	78	98
4	144	98
5	255	98
6	348	98
7	482	98
8	561	98
9	575	98
10	576	98