Metrics for Examples.Basics.BasicTests:f3 from sbv-4.4

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample696.0ms (13.2%)

Samples

485.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-mult: 59.0ms (48.1% of total)

ival-add: 54.0ms (44% of total)

ival-true: 6.0ms (4.9% of total)

ival-assert: 4.0ms (3.3% of total)

Bogosity

preprocess225.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1 098×	`fmm-def`
932×	`fma-define`
285×	`distribute-rgt-in`
223×	`distribute-lft-in`
210×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	257
1	67	217
2	237	217
3	631	217
4	1450	217
5	3051	217
6	3867	217
7	4013	217
8	4013	217
9	4013	217
10	4828	217
11	5116	217
12	5116	217

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

Symmetry

(sort x y)

explain244.0ms (4.6%)

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

75.0ms

512×

valid

Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions

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

ival-add: 56.0ms (93.2% of total)

ival-mult: 3.0ms (5% of total)

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

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

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))

Compiler

Compiled 9 to 4 computations (55.6% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

70×	`fma-define`
25×	`associate-+r+`
17×	`associate-+l+`
10×	`distribute-rgt-in`
8×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	52
1	16	52
2	34	52
3	72	52
4	115	52
5	145	52
6	165	52
7	182	52
8	184	52

Stop Event

1×

saturated

Calls

Call 1

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

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

localize17.0ms (0.3%)

Localize:

Found 2 expressions of interest:

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

Samples

11.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-add: 2.0ms (55.2% of total)

ival-mult: 2.0ms (55.2% of total)

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

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

series5.0ms (0.1%)

Counts

2 → 42

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite398.0ms (7.5%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`prod-diff`
515×	`log1p-expm1-u`
515×	`expm1-log1p-u`
418×	`unpow-prod-down`
405×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	102	32
2	1473	32

Stop Event

1×	node limit

Counts

2 → 135

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))
(+.f64 (.f64 y (+.f64 x y)) (.f64 x (+.f64 x y)))
(+.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 x (+.f64 x y)) #s(literal 1 binary64)) (.f64 (.f64 y (+.f64 x y)) #s(literal 1 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (-.f64 x y)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (.f64 y (+.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y (+.f64 x y)) #s(literal 2 binary64)) (.f64 (.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (.f64 y (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 x y)) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 x y)) (-.f64 x y))
(pow.f64 (+.f64 x y) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (+.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x y) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)) (log.f64 (+.f64 x y))))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)) (.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64))))
(fma.f64 x (+.f64 x y) (*.f64 y (+.f64 x y)))
(fma.f64 y (+.f64 x y) (*.f64 x (+.f64 x y)))
(fma.f64 (+.f64 x y) x (*.f64 y (+.f64 x y)))
(fma.f64 (+.f64 x y) y (*.f64 x (+.f64 x y)))
(fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))
(fma.f64 #s(literal 1 binary64) (.f64 y (+.f64 x y)) (.f64 x (+.f64 x y)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (.f64 (cbrt.f64 (+.f64 x y)) y) (.f64 x (+.f64 x y)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (.f64 (cbrt.f64 (+.f64 x y)) x) (.f64 y (+.f64 x y)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 (cbrt.f64 x) (+.f64 x y)) (.f64 y (+.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (+.f64 x y)) (.f64 x (+.f64 x y)))
(fma.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) y) (.f64 x (+.f64 x y)))
(fma.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) x) (.f64 y (+.f64 x y)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x y)) (.f64 y (+.f64 x y)))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (+.f64 x y)) (.f64 x (+.f64 x y)))
(fma.f64 (.f64 x (+.f64 x y)) #s(literal 1 binary64) (.f64 (*.f64 y (+.f64 x y)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (+.f64 x y))) (*.f64 y (+.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (.f64 y (+.f64 x y))) (*.f64 x (+.f64 x y)))
(fma.f64 (sqrt.f64 (.f64 x (+.f64 x y))) (sqrt.f64 (.f64 x (+.f64 x y))) (*.f64 y (+.f64 x y)))
(fma.f64 (sqrt.f64 (.f64 y (+.f64 x y))) (sqrt.f64 (.f64 y (+.f64 x y))) (*.f64 x (+.f64 x y)))
(fma.f64 (.f64 (+.f64 x y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 x (+.f64 x y)))
(fma.f64 (.f64 (+.f64 x y) (sqrt.f64 y)) (sqrt.f64 y) (.f64 x (+.f64 x y)))
(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 x y)) (.f64 y (+.f64 x y)))
(fma.f64 (.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)) (.f64 y (+.f64 x y)))
(fma.f64 (.f64 (+.f64 x y) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x) (.f64 y (+.f64 x y)))
(fma.f64 (.f64 (+.f64 x y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 y (+.f64 x y)))
(fma.f64 (.f64 y (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 x y)) (.f64 x (+.f64 x y)))
(fma.f64 (.f64 y (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)) (.f64 x (+.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (+.f64 x y) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64)))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 5 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x y))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (+.f64 x y))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (+.f64 x y))
(log.f64 (exp.f64 (+.f64 x y)))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(hypot.f64 (sqrt.f64 (.f64 x (+.f64 x y))) (sqrt.f64 (.f64 y (+.f64 x y))))
(hypot.f64 (sqrt.f64 (.f64 y (+.f64 x y))) (sqrt.f64 (.f64 x (+.f64 x y))))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(exp.f64 (log.f64 (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (+.f64 x y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (+.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x y))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y)
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)

simplify177.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

505×	`div-sub`
351×	`associate-/l*`
318×	`exp-prod`
265×	`associate-/r*`
205×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	361	5395
1	852	5259
2	2561	5115
3	6599	5095

Stop Event

1×	node limit

Counts

177 → 212

Calls

Call 1

Inputs
(pow.f64 y #s(literal 2 binary64))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x y))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(pow.f64 y #s(literal 2 binary64))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x y))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
y
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
x
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))
(+.f64 (.f64 y (+.f64 x y)) (.f64 x (+.f64 x y)))
(+.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 x (+.f64 x y)) #s(literal 1 binary64)) (.f64 (.f64 y (+.f64 x y)) #s(literal 1 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (-.f64 x y)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (.f64 y (+.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y (+.f64 x y)) #s(literal 2 binary64)) (.f64 (.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (.f64 y (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 x y)) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 x y)) (-.f64 x y))
(pow.f64 (+.f64 x y) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (+.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x y) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)) (log.f64 (+.f64 x y))))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)) (.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64))))
(fma.f64 x (+.f64 x y) (*.f64 y (+.f64 x y)))
(fma.f64 y (+.f64 x y) (*.f64 x (+.f64 x y)))
(fma.f64 (+.f64 x y) x (*.f64 y (+.f64 x y)))
(fma.f64 (+.f64 x y) y (*.f64 x (+.f64 x y)))
(fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))
(fma.f64 #s(literal 1 binary64) (.f64 y (+.f64 x y)) (.f64 x (+.f64 x y)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (.f64 (cbrt.f64 (+.f64 x y)) y) (.f64 x (+.f64 x y)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (.f64 (cbrt.f64 (+.f64 x y)) x) (.f64 y (+.f64 x y)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 (cbrt.f64 x) (+.f64 x y)) (.f64 y (+.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (+.f64 x y)) (.f64 x (+.f64 x y)))
(fma.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) y) (.f64 x (+.f64 x y)))
(fma.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) x) (.f64 y (+.f64 x y)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x y)) (.f64 y (+.f64 x y)))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (+.f64 x y)) (.f64 x (+.f64 x y)))
(fma.f64 (.f64 x (+.f64 x y)) #s(literal 1 binary64) (.f64 (*.f64 y (+.f64 x y)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (+.f64 x y))) (*.f64 y (+.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (.f64 y (+.f64 x y))) (*.f64 x (+.f64 x y)))
(fma.f64 (sqrt.f64 (.f64 x (+.f64 x y))) (sqrt.f64 (.f64 x (+.f64 x y))) (*.f64 y (+.f64 x y)))
(fma.f64 (sqrt.f64 (.f64 y (+.f64 x y))) (sqrt.f64 (.f64 y (+.f64 x y))) (*.f64 x (+.f64 x y)))
(fma.f64 (.f64 (+.f64 x y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 x (+.f64 x y)))
(fma.f64 (.f64 (+.f64 x y) (sqrt.f64 y)) (sqrt.f64 y) (.f64 x (+.f64 x y)))
(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 x y)) (.f64 y (+.f64 x y)))
(fma.f64 (.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)) (.f64 y (+.f64 x y)))
(fma.f64 (.f64 (+.f64 x y) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x) (.f64 y (+.f64 x y)))
(fma.f64 (.f64 (+.f64 x y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 y (+.f64 x y)))
(fma.f64 (.f64 y (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 x y)) (.f64 x (+.f64 x y)))
(fma.f64 (.f64 y (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)) (.f64 x (+.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (+.f64 x y) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64)))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 5 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x y))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (+.f64 x y))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (+.f64 x y))
(log.f64 (exp.f64 (+.f64 x y)))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(hypot.f64 (sqrt.f64 (.f64 x (+.f64 x y))) (sqrt.f64 (.f64 y (+.f64 x y))))
(hypot.f64 (sqrt.f64 (.f64 y (+.f64 x y))) (sqrt.f64 (.f64 x (+.f64 x y))))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(exp.f64 (log.f64 (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (+.f64 x y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (+.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x y))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y)
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)

Outputs
(pow.f64 y #s(literal 2 binary64))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (pow.f64 y #s(literal 2 binary64)))
(.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(+.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x (+.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 x (+.f64 x (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x (+.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (+.f64 #s(literal 2 binary64) (/.f64 y x)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (+.f64 #s(literal 2 binary64) (/.f64 y x)))))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y #s(literal -2 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 #s(literal -2 binary64) (/.f64 y x))) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y #s(literal -2 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 #s(literal -2 binary64) (/.f64 y x))) x)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (fma.f64 y #s(literal 2 binary64) x))
(+.f64 (.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x (+.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x (+.f64 x (*.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x y))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x y) (+.f64 #s(literal 2 binary64) (/.f64 x y)))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x y) (+.f64 #s(literal 2 binary64) (/.f64 x y)))))
(pow.f64 y #s(literal 2 binary64))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x y))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 y))) y)))
(.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 #s(literal -2 binary64) (/.f64 x y))) y)))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 y))) y)))
(.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 #s(literal -2 binary64) (/.f64 x y))) y)))
y
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))))
x
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(neg.f64 (*.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))))
(neg.f64 (*.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))))
(neg.f64 (*.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 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))
(pow.f64 (+.f64 y x) #s(literal 2 binary64))
(+.f64 (.f64 y (+.f64 x y)) (.f64 x (+.f64 x y)))
(pow.f64 (+.f64 y x) #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(pow.f64 (+.f64 y x) #s(literal 2 binary64))
(+.f64 (.f64 (.f64 x (+.f64 x y)) #s(literal 1 binary64)) (.f64 (.f64 y (+.f64 x y)) #s(literal 1 binary64)))
(pow.f64 (+.f64 y x) #s(literal 2 binary64))
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(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x y))
(+.f64 y x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (+.f64 x y))
(+.f64 y x)
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 y x))) (sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 5 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x y)))
(+.f64 y x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(+.f64 y x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 y x))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(+.f64 y x)
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 y x)
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(+.f64 y x)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 y x)
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(+.f64 y x)
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(+.f64 y x)
(fabs.f64 (+.f64 x y))
(+.f64 y x)
(log.f64 (exp.f64 (+.f64 x y)))
(+.f64 y x)
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(+.f64 y x)
(expm1.f64 (log1p.f64 (+.f64 x y)))
(expm1.f64 (log1p.f64 (+.f64 y x)))
(+.f64 (+.f64 y x) #s(literal 0 binary64))
(hypot.f64 (sqrt.f64 (.f64 x (+.f64 x y))) (sqrt.f64 (.f64 y (+.f64 x y))))
(+.f64 y x)
(hypot.f64 (sqrt.f64 (.f64 y (+.f64 x y))) (sqrt.f64 (.f64 x (+.f64 x y))))
(+.f64 y x)
(log1p.f64 (expm1.f64 (+.f64 x y)))
(+.f64 y x)
(exp.f64 (log.f64 (+.f64 x y)))
(+.f64 y x)
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(+.f64 y x)
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (+.f64 x y))) #s(literal 1/2 binary64)))
(+.f64 y x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(+.f64 y x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (+.f64 x y))) #s(literal 1/3 binary64)))
(+.f64 y x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(+.f64 y x)
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 y x)
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 y x)
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x y))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(+.f64 y x)
(fma.f64 x #s(literal 1 binary64) y)
(+.f64 y x)
(fma.f64 y #s(literal 1 binary64) x)
(+.f64 y x)
(fma.f64 #s(literal 1 binary64) x y)
(+.f64 y x)
(fma.f64 #s(literal 1 binary64) y x)
(+.f64 y x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y)
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(+.f64 y x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(+.f64 y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(+.f64 y x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(+.f64 y x)

eval34.0ms (0.6%)

Compiler: Compiled 4 248 to 713 computations (83.2% saved)

prune41.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	300	5	305
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	300	6	306

Accuracy

100.0%

Counts

306 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.9%	(+.f64 (.f64 y (+.f64 x y)) (.f64 x (+.f64 x y)))
▶	77.5%	(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 #s(literal -2 binary64) (/.f64 y x))) x)))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
▶	54.6%	(*.f64 (+.f64 x y) y)
▶	57.2%	(*.f64 (+.f64 x y) x)
▶	55.1%	(.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x)))

Compiler

Compiled 115 to 68 computations (40.9% saved)

simplify75.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y (-.f64 #s(literal -2 binary64) (/.f64 y x)))
✓	cost-diff	0	(/.f64 (*.f64 y (-.f64 #s(literal -2 binary64) (/.f64 y x))) x)
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	6592	(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 #s(literal -2 binary64) (/.f64 y x))) x)))
✓	cost-diff	-6272	(+.f64 y (*.f64 #s(literal 2 binary64) x))
✓	cost-diff	-6272	(.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x)))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) x)
	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(*.f64 (+.f64 x y) y)
	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(*.f64 (+.f64 x y) x)
✓	cost-diff	0	(*.f64 x (+.f64 x y))
	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(*.f64 y (+.f64 x y))
✓	cost-diff	256	(+.f64 (.f64 y (+.f64 x y)) (.f64 x (+.f64 x y)))

Rules

504×	`associate-/r*`
390×	`unsub-neg`
270×	`associate-r`
256×	`div-sub`
250×	`distribute-lft-neg-in`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	26	467
1	61	459
2	138	459
3	293	459
4	784	451
5	3046	443
6	5248	443

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 (.f64 y (+.f64 x y)) (.f64 x (+.f64 x y)))
(*.f64 y (+.f64 x y))
y
(+.f64 x y)
x
(*.f64 x (+.f64 x y))
(*.f64 (+.f64 x y) x)
(+.f64 x y)
x
y
(*.f64 (+.f64 x y) y)
(+.f64 x y)
x
y
(.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x)))
y
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 #s(literal -2 binary64) (/.f64 y x))) x)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal -2 binary64) (/.f64 y x))) x))
#s(literal 1 binary64)
(/.f64 (*.f64 y (-.f64 #s(literal -2 binary64) (/.f64 y x))) x)
(*.f64 y (-.f64 #s(literal -2 binary64) (/.f64 y x)))
y
(-.f64 #s(literal -2 binary64) (/.f64 y x))
#s(literal -2 binary64)
(/.f64 y x)

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

localize218.0ms (4.1%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal -2 binary64) (/.f64 y x))
✓	accuracy	99.9%	(*.f64 y (-.f64 #s(literal -2 binary64) (/.f64 y x)))
✓	accuracy	97.7%	(/.f64 (*.f64 y (-.f64 #s(literal -2 binary64) (/.f64 y x))) x)
✓	accuracy	79.1%	(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 #s(literal -2 binary64) (/.f64 y x))) x)))
✓	accuracy	100.0%	(+.f64 y (*.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x)))
	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 (+.f64 x y) y)
	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 (+.f64 x y) x)
	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 y (+.f64 x y))
✓	accuracy	100.0%	(*.f64 x (+.f64 x y))
✓	accuracy	95.9%	(+.f64 (.f64 y (+.f64 x y)) (.f64 x (+.f64 x y)))

Samples

171.0ms

256×

valid

Compiler

Compiled 124 to 23 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 12.0ms (45.7% of total)

ival-div: 4.0ms (15.2% of total)

ival-add: 4.0ms (15.2% of total)

ival-sub: 3.0ms (11.4% of total)

ival-pow: 3.0ms (11.4% of total)

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

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

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

series29.0ms (0.5%)

Counts

13 → 249

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* 2 x)
2.0ms	x	@	0	(* y (- -2 (/ y x)))
1.0ms	x	@	-inf	(* y (+ y (* 2 x)))
1.0ms	x	@	-inf	(* (pow x 2) (- 1 (/ (* y (- -2 (/ y x))) x)))
1.0ms	y	@	-inf	(* y (+ x y))

rewrite298.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1 117×	`log1p-expm1-u`
192×	`expm1-log1p-u`
188×	`add-cube-cbrt`
186×	`add-exp-log`
185×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	328
1	454	308
2	6407	308

Stop Event

1×	node limit

Counts

13 → 359

Calls

Call 1

Inputs
(+.f64 (.f64 y (+.f64 x y)) (.f64 x (+.f64 x y)))
(*.f64 y (+.f64 x y))
(*.f64 x (+.f64 x y))
(*.f64 (+.f64 x y) x)
(*.f64 (+.f64 x y) y)
(*.f64 #s(literal 2 binary64) x)
(.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x)))
(+.f64 y (*.f64 #s(literal 2 binary64) x))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 #s(literal -2 binary64) (/.f64 y x))) x)))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 y (-.f64 #s(literal -2 binary64) (/.f64 y x))) x)
(*.f64 y (-.f64 #s(literal -2 binary64) (/.f64 y x)))
(-.f64 #s(literal -2 binary64) (/.f64 y x))

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

simplify444.0ms (8.4%)

Algorithm

1×	egg-herbie

Rules

690×	`fmm-def`
502×	`associate-r`
460×	`associate-l`
345×	`fma-define`
318×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	778	22193
1	1910	20713
2	7151	20709

Stop Event

1×	node limit

Counts

608 → 502

Calls

Call 1

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

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

eval230.0ms (4.4%)

Compiler: Compiled 14 370 to 2 451 computations (82.9% saved)

prune115.0ms (2.2%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	871	3	874
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	872	8	880

Accuracy

100.0%

Counts

880 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.9%	(+.f64 (.f64 y (+.f64 x y)) (.f64 x (+.f64 x y)))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
✓	54.6%	(*.f64 (+.f64 x y) y)
✓	57.2%	(*.f64 (+.f64 x y) x)
✓	55.1%	(.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x)))
▶	56.3%	(*.f64 y y)
▶	48.5%	(.f64 x (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))
▶	56.1%	(*.f64 x x)

Compiler

Compiled 66 to 37 computations (43.9% saved)

simplify141.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	-6144	(.f64 x (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (/.f64 y x))
✓	cost-diff	0	(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
✓	cost-diff	0	(*.f64 x x)

Rules

1 870×	`fma-define`
818×	`associate-/r*`
682×	`times-frac`
501×	`associate-/l/`
272×	`*-commutative`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	14	140
1	25	140
2	63	140
3	105	140
4	133	133
5	138	127
6	165	127
7	280	127
8	680	127
9	2821	127
10	3548	127
11	4282	127
12	4477	127
13	4638	127
14	5093	127
15	6922	127
16	7089	127

Stop Event

1×	node limit

Calls

Call 1

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

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

localize40.0ms (0.8%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (/.f64 y x))
✓	accuracy	99.9%	(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
✓	accuracy	93.5%	(.f64 x (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))
✓	accuracy	100.0%	(*.f64 x x)

Samples

26.0ms

256×

valid

Compiler

Compiled 37 to 11 computations (70.3% saved)

Precisions

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

ival-mult: 10.0ms (73.2% of total)

ival-div: 2.0ms (14.6% of total)

ival-add: 1.0ms (7.3% of total)

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

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

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

series9.0ms (0.2%)

Counts

6 → 84

Calls

Call 1

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

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

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(* y (+ 2 (/ y x)))
0.0ms	x	@	-inf	(* x (* y (+ 2 (/ y x))))
0.0ms	y	@	-inf	(* x (* y (+ 2 (/ y x))))
0.0ms	y	@	-inf	(/ y x)
0.0ms	x	@	0	(* x (* y (+ 2 (/ y x))))

rewrite186.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

954×	`log1p-expm1-u`
954×	`expm1-log1p-u`
511×	`log-prod`
247×	`prod-diff`
176×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	117
1	192	117
2	2664	117

Stop Event

1×	node limit

Counts

6 → 206

Calls

Call 1

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

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

simplify134.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

726×	`times-frac`
395×	`associate-*r/`
278×	`associate-*l/`
228×	`cancel-sign-sub-inv`
190×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	454	8723
1	948	8445
2	2825	7109

Stop Event

1×	node limit

Counts

290 → 259

Calls

Call 1

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

Outputs
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) x)
(/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (pow.f64 y #s(literal 2 binary64))) x)
(/.f64 (.f64 y (+.f64 y (.f64 x #s(literal 2 binary64)))) x)
(*.f64 y (/.f64 (fma.f64 x #s(literal 2 binary64) y) x))
(/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (pow.f64 y #s(literal 2 binary64))) x)
(/.f64 (.f64 y (+.f64 y (.f64 x #s(literal 2 binary64)))) x)
(*.f64 y (/.f64 (fma.f64 x #s(literal 2 binary64) y) x))
(/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (pow.f64 y #s(literal 2 binary64))) x)
(/.f64 (.f64 y (+.f64 y (.f64 x #s(literal 2 binary64)))) x)
(*.f64 y (/.f64 (fma.f64 x #s(literal 2 binary64) y) x))
(*.f64 #s(literal 2 binary64) y)
(+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(*.f64 #s(literal 2 binary64) y)
(+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x)))
(+.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))
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(pow.f64 (sqrt.f64 (.f64 x (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))) #s(literal 2 binary64))
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(log1p.f64 (expm1.f64 (.f64 x (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))))
(.f64 y (+.f64 y (.f64 x #s(literal 2 binary64))))
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(fma.f64 x (.f64 y #s(literal 2 binary64)) (.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
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(fma.f64 #s(literal 2 binary64) (.f64 x y) (.f64 (/.f64 y x) (*.f64 x y)))
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(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
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(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
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(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
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eval32.0ms (0.6%)

Compiler: Compiled 3 550 to 825 computations (76.8% saved)

prune35.0ms (0.7%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	258	1	259
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	259	8	267

Accuracy

100.0%

Counts

267 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.9%	(+.f64 (.f64 y (+.f64 x y)) (.f64 x (+.f64 x y)))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
✓	54.6%	(*.f64 (+.f64 x y) y)
✓	57.2%	(*.f64 (+.f64 x y) x)
✓	55.1%	(.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x)))
✓	56.3%	(*.f64 y y)
▶	49.8%	(.f64 x (.f64 y (/.f64 y x)))
✓	56.1%	(*.f64 x x)

Compiler

Compiled 64 to 35 computations (45.3% saved)

simplify206.0ms (3.9%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

1 364×	`cube-prod`
917×	`cube-div`
599×	`swap-sqr`
520×	`associate-/l/`
426×	`pow-sqr`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	74
1	16	74
2	29	74
3	35	62
4	39	56
5	48	56
6	109	56
7	293	56
8	1471	56
9	1993	56
10	2445	56
11	2785	56
12	3112	56
13	3603	56
14	4942	56
15	5646	56
16	6096	56
17	6503	56
18	7050	56
19	7361	56
20	7502	56

Stop Event

1×	node limit

Calls

Call 1

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

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

localize20.0ms (0.4%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(/.f64 y x)
✓	accuracy	99.8%	(*.f64 y (/.f64 y x))
✓	accuracy	87.7%	(.f64 x (.f64 y (/.f64 y x)))

Samples

14.0ms

256×

valid

Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions

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

ival-mult: 3.0ms (51.3% of total)

ival-div: 2.0ms (34.2% of total)

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

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

series62.0ms (1.2%)

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
59.0ms	y	@	-inf	(* x (* y (/ y x)))
1.0ms	y	@	inf	(* y (/ y x))
0.0ms	x	@	inf	(* y (/ y x))
0.0ms	x	@	-inf	(* y (/ y x))
0.0ms	x	@	0	(* y (/ y x))

rewrite86.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

632×	`unpow-prod-down`
562×	`log1p-expm1-u`
562×	`expm1-log1p-u`
460×	`pow1`
344×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	53
1	114	47
2	1530	47

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

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

simplify88.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

867×	`cube-prod`
804×	`times-frac`
641×	`fmm-def`
630×	`exp-prod`
571×	`prod-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	1949
1	336	1949
2	794	1895
3	4872	1895

Stop Event

1×	node limit

Counts

118 → 75

Calls

Call 1

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

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

eval13.0ms (0.2%)

Compiler: Compiled 1 357 to 388 computations (71.4% saved)

prune69.0ms (1.3%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	119	8	127

Accuracy

100.0%

Counts

127 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.9%	(+.f64 (.f64 y (+.f64 x y)) (.f64 x (+.f64 x y)))
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 x y))
✓	54.6%	(*.f64 (+.f64 x y) y)
✓	57.2%	(*.f64 (+.f64 x y) x)
✓	55.1%	(.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x)))
✓	56.3%	(*.f64 y y)
✓	49.8%	(.f64 x (.f64 y (/.f64 y x)))
✓	56.1%	(*.f64 x x)

Compiler

Compiled 138 to 64 computations (53.6% saved)

regimes15.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(*.f64 y y)
(*.f64 (+.f64 x y) x)
(*.f64 (+.f64 x y) y)
(.f64 x (.f64 y (/.f64 y x)))
(.f64 y (+.f64 y (.f64 #s(literal 2 binary64) x)))
(*.f64 (+.f64 x y) (+.f64 x y))
(.f64 x (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 y x))))
(+.f64 (.f64 y (+.f64 x y)) (.f64 x (+.f64 x y)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 #s(literal -2 binary64) (/.f64 y x))) x)))

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

Calls

4 calls:

4.0ms	x
4.0ms	(+.f64 x y)
3.0ms	y
3.0ms	(*.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))`
100.0%	1	`(+.f64 x y)`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes188.0ms (3.6%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

185.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
92.3%	2	`x`
89.9%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
91.9%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x x)

Outputs
(*.f64 x x)

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
56.1%	1	`y`
56.1%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch10.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

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

Samples

5.0ms

128×

valid

Compiler

Compiled 140 to 97 computations (30.7% saved)

Precisions

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

ival-add: 1.0ms (54.8% of total)

ival-mult: 1.0ms (54.8% of total)

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

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

bsearch9.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

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

Samples

5.0ms

128×

valid

Compiler

Compiled 108 to 73 computations (32.4% saved)

Precisions

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

ival-add: 1.0ms (54.8% of total)

ival-mult: 1.0ms (54.8% of total)

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

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	135
1	28	135

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (+.f64 x y))
(if (<=.f64 x #s(literal -8299976956530825/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) (.f64 x x) (.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal -6450267806218241/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (.f64 x x) (.f64 y y))
(*.f64 x x)

Outputs
(*.f64 (+.f64 x y) (+.f64 x y))
(if (<=.f64 x #s(literal -8299976956530825/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) (.f64 x x) (.f64 y (+.f64 y (*.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal -8299976956530825/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) (.f64 x x) (.f64 y (+.f64 y (*.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -6450267806218241/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (.f64 x x) (.f64 y y))
(*.f64 x x)

soundness623.0ms (11.8%)

Rules

505×	`div-sub`
351×	`associate-/l*`
318×	`exp-prod`
265×	`associate-/r*`
205×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	361	5395
1	852	5259
2	2561	5115
3	6599	5095

Stop Event

1×	done
1×	node limit

Compiler

Compiled 81 to 31 computations (61.7% saved)

preprocess49.0ms (0.9%)

Remove: (sort x y)
Compiler: Compiled 174 to 82 computations (52.9% saved)

analyze0.0ms (0%)

sample696.0ms (13.2%)

preprocess225.0ms (4.3%)

explain244.0ms (4.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.2%)

localize17.0ms (0.3%)

series5.0ms (0.1%)

rewrite398.0ms (7.5%)

simplify177.0ms (3.3%)

eval34.0ms (0.6%)

prune41.0ms (0.8%)

simplify75.0ms (1.4%)

localize218.0ms (4.1%)

series29.0ms (0.5%)

rewrite298.0ms (5.6%)

simplify444.0ms (8.4%)

eval230.0ms (4.4%)

prune115.0ms (2.2%)

simplify141.0ms (2.7%)

localize40.0ms (0.8%)

series9.0ms (0.2%)

rewrite186.0ms (3.5%)

simplify134.0ms (2.5%)

eval32.0ms (0.6%)

prune35.0ms (0.7%)

simplify206.0ms (3.9%)

localize20.0ms (0.4%)

series62.0ms (1.2%)

rewrite86.0ms (1.6%)

simplify88.0ms (1.7%)

eval13.0ms (0.2%)

prune69.0ms (1.3%)

regimes15.0ms (0.3%)

regimes188.0ms (3.6%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch10.0ms (0.2%)

bsearch9.0ms (0.2%)

simplify3.0ms (0.1%)

soundness623.0ms (11.8%)

preprocess49.0ms (0.9%)

end0.0ms (0%)

Profiling