Metrics for Examples.Basics.BasicTests:f1 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 7 computations (22.2% saved)

sample1.4s (27.9%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 186.0ms

ival-mult: 77.0ms (41.3% of total)

ival-add: 54.0ms (29% of total)

ival-sub: 44.0ms (23.6% of total)

ival-true: 6.0ms (3.2% of total)

ival-assert: 5.0ms (2.7% of total)

Bogosity

preprocess217.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

969×	`distribute-lft-in`
884×	`distribute-rgt-in`
825×	`fma-define`
459×	`distribute-lft-out`
443×	`distribute-lft-neg-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	241
1	55	217
2	175	217
3	614	217
4	1422	217
5	3177	217
6	3726	217
7	4419	217
8	5383	217
9	5981	217
10	6185	217
11	6251	217
12	6315	217
13	6347	217
14	7619	217

Stop Event

1×	node limit

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

Symmetry

(abs x)

(abs y)

explain66.0ms (1.4%)

FPErrors

Click to see full error table

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

Results

29.0ms

512×

valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

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

ival-sub: 5.0ms (43.8% of total)

ival-add: 3.0ms (26.3% of total)

ival-mult: 3.0ms (26.3% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify176.0ms (3.6%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

2341×	`fmm-def`
1530×	`associate-+r+`
900×	`distribute-lft-in`
842×	`distribute-rgt-in`
587×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	65
1	21	65
2	49	65
3	111	65
4	240	65
5	561	65
6	1190	65
7	2349	65
8	2976	65
9	3236	65
10	3293	65
11	3331	65
12	3333	65
13	3333	65
14	3335	65

Stop Event

1×	node limit

Calls

Call 1

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

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

localize33.0ms (0.7%)

Localize:

Found 3 expressions of interest:

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

Results

13.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-sub: 2.0ms (43.3% of total)

ival-mult: 2.0ms (43.3% of total)

ival-add: 1.0ms (21.7% of total)

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

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

series5.0ms (0.1%)

Counts

3 → 63

Calls

Call 1

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

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

18 calls:

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

rewrite336.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`prod-diff`
712×	`log1p-expm1-u`
712×	`expm1-log1p-u`
344×	`fma-define`
322×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	127	51
2	1979	51

Stop Event

1×	node limit

Counts

3 → 319

Calls

Call 1

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

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

simplify645.0ms (13.2%)

Algorithm

1×	egg-herbie

Rules

522×	`fmm-def`
442×	`prod-exp`
364×	`associate-r`
333×	`associate-l`
296×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	734	14344
1	1873	11043
2	7007	11013

Stop Event

1×	node limit

Counts

382 → 417

Calls

Call 1

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

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

eval135.0ms (2.8%)

Compiler: Compiled 7533 to 1099 computations (85.4% saved)

prune51.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	415	2	417
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	415	3	418

Accuracy

100.0%

Counts

418 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (-.f64 x y) (+.f64 x y))
▶	63.7%	(*.f64 (-.f64 x y) y)
▶	51.8%	(*.f64 x (+.f64 x y))

Compiler

Compiled 23 to 13 computations (43.5% saved)

simplify31.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

264×	`fma-define`
119×	`fmm-def`
70×	`distribute-lft-in`
57×	`distribute-rgt-in`
45×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	86
1	22	86
2	37	86
3	55	86
4	75	86
5	126	86
6	209	86
7	363	86
8	700	86
9	1032	86
10	1081	86

Stop Event

1×

saturated

Calls

Call 1

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

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

localize26.0ms (0.5%)

Localize:

Found 4 expressions of interest:

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

Results

18.0ms

256×

valid

Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions

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

ival-add: 3.0ms (37.7% of total)

ival-mult: 3.0ms (37.7% of total)

ival-sub: 1.0ms (12.6% of total)

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

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

series5.0ms (0.1%)

Counts

2 → 45

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite94.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`log1p-expm1-u`
761×	`expm1-log1p-u`
606×	`prod-diff`
370×	`log-prod`
325×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	144	44
2	2059	44

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

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

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

simplify112.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

705×	`fma-define`
561×	`fmm-def`
371×	`cancel-sign-sub-inv`
341×	`distribute-lft-in`
313×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	271	4721
1	586	4704
2	1511	4683
3	4765	3915

Stop Event

1×	node limit

Counts

156 → 138

Calls

Call 1

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

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

eval156.0ms (3.2%)

Compiler: Compiled 4527 to 883 computations (80.5% saved)

prune50.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	356	2	358
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	357	4	361

Accuracy

100.0%

Counts

361 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (-.f64 x y) (+.f64 x y))
▶	55.9%	(*.f64 (neg.f64 y) y)
✓	51.8%	(*.f64 x (+.f64 x y))
▶	16.3%	(*.f64 x y)

Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

20×	`fma-define`
7×	`distribute-lft-in`
6×	`sub-neg`
3×	`mul0-rgt`
3×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	19	50
2	24	50
3	32	50
4	42	50
5	52	50
6	69	50
7	88	50

Stop Event

1×

saturated

Calls

Call 1

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

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

localize21.0ms (0.4%)

Localize:

Found 3 expressions of interest:

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

Results

15.0ms

256×

valid

Compiler

Compiled 14 to 7 computations (50% saved)

Precisions

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

ival-mult: 4.0ms (63.2% of total)

ival-neg: 2.0ms (31.6% of total)

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

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

series55.0ms (1.1%)

Counts

3 → 24

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
51.0ms	y	@	inf	(* (neg y) y)
1.0ms	y	@	inf	(neg y)
1.0ms	y	@	0	(* (neg y) y)
0.0ms	x	@	0	(* x y)
0.0ms	x	@	inf	(* x y)

rewrite72.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

359×	`unpow-prod-down`
330×	`log1p-expm1-u`
330×	`expm1-log1p-u`
316×	`add-exp-log`
305×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	109	27
2	1301	27

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

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

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

simplify89.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

637×	`prod-exp`
606×	`fmm-def`
445×	`associate-r`
375×	`associate-l`
325×	`div-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	255	1992
1	406	1992
2	889	1992
3	4534	1992

Stop Event

1×	node limit

Counts

133 → 111

Calls

Call 1

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

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

eval14.0ms (0.3%)

Compiler: Compiled 851 to 312 computations (63.3% saved)

prune17.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	111	4	115

Accuracy

100.0%

Counts

115 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (-.f64 x y) (+.f64 x y))
✓	55.9%	(*.f64 (neg.f64 y) y)
✓	51.8%	(*.f64 x (+.f64 x y))
✓	16.3%	(*.f64 x y)

Compiler

Compiled 60 to 27 computations (55% saved)

regimes14.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	y
3.0ms	x
2.0ms	(*.f64 (+.f64 x y) (-.f64 x y))

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes5.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
81.0%	2	`x`
86.6%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
81.0%	2	`x`
79.2%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
55.9%	1	`y`
62.3%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes74.0ms (1.5%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x y)

Outputs
(*.f64 x y)

Calls

2 calls:

72.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
16.3%	1	`y`
16.3%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch11.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.289191444200209e-16	2.6424531903481066e-12

Results

6.0ms

128×

valid

Compiler

Compiled 140 to 90 computations (35.7% saved)

Precisions

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

ival-sub: 1.0ms (42.8% of total)

ival-add: 1.0ms (42.8% of total)

ival-mult: 1.0ms (42.8% 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
6.0ms	73780302847.89941	253086696155.17508

Results

3.0ms

80×

valid

Compiler

Compiled 87 to 60 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

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

bsearch13.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.2359306296744435e+177	4.0387746820279806e+192

Results

7.0ms

160×

valid

Compiler

Compiled 142 to 100 computations (29.6% saved)

Precisions

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

ival-sub: 1.0ms (34.4% of total)

ival-add: 1.0ms (34.4% of total)

ival-mult: 1.0ms (34.4% of total)

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

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

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative`
4×	`+-commutative`
3×	`sub-neg`
2×	`neg-sub0`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	193
1	41	193
2	46	193
3	49	193
4	50	193

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 y #s(literal 7098843361278085/20282409603651670423947251286016 binary64)) (.f64 x (+.f64 x y)) (.f64 (-.f64 x y) y))
(if (<=.f64 x #s(literal 90000000000 binary64)) (.f64 (neg.f64 y) y) (.f64 x (+.f64 x y)))
(if (<=.f64 x #s(literal 16499999999999999059847240812989683964618902997679864712408534696167430963768750276296962878077717420016665409536485133326637906096935090351768223080714483257141615877311257243742633984 binary64)) (.f64 (neg.f64 y) y) (.f64 x y))
(*.f64 x y)

Outputs
(*.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 y #s(literal 7098843361278085/20282409603651670423947251286016 binary64)) (.f64 x (+.f64 x y)) (.f64 (-.f64 x y) y))
(if (<=.f64 y #s(literal 7098843361278085/20282409603651670423947251286016 binary64)) (.f64 x (+.f64 x y)) (.f64 y (-.f64 x y)))
(if (<=.f64 x #s(literal 90000000000 binary64)) (.f64 (neg.f64 y) y) (.f64 x (+.f64 x y)))
(if (<=.f64 x #s(literal 90000000000 binary64)) (.f64 y (neg.f64 y)) (.f64 x (+.f64 x y)))
(if (<=.f64 x #s(literal 16499999999999999059847240812989683964618902997679864712408534696167430963768750276296962878077717420016665409536485133326637906096935090351768223080714483257141615877311257243742633984 binary64)) (.f64 (neg.f64 y) y) (.f64 x y))
(if (<=.f64 x #s(literal 16499999999999999059847240812989683964618902997679864712408534696167430963768750276296962878077717420016665409536485133326637906096935090351768223080714483257141615877311257243742633984 binary64)) (.f64 y (neg.f64 y)) (.f64 x y))
(*.f64 x y)

soundness918.0ms (18.8%)

Rules

969×	`distribute-lft-in`
884×	`distribute-rgt-in`
825×	`fma-define`
522×	`fmm-def`
459×	`distribute-lft-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	734	14344
1	1873	11043
2	7007	11013
0	24	241
1	55	217
2	175	217
3	614	217
4	1422	217
5	3177	217
6	3726	217
7	4419	217
8	5383	217
9	5981	217
10	6185	217
11	6251	217
12	6315	217
13	6347	217
14	7619	217

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 91 to 35 computations (61.5% saved)

preprocess40.0ms (0.8%)

Remove

(abs y)

(abs x)

Compiler

Compiled 226 to 108 computations (52.2% saved)

analyze0.0ms (0%)

sample1.4s (27.9%)

preprocess217.0ms (4.5%)

explain66.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify176.0ms (3.6%)

localize33.0ms (0.7%)

series5.0ms (0.1%)

rewrite336.0ms (6.9%)

simplify645.0ms (13.2%)

eval135.0ms (2.8%)

prune51.0ms (1.1%)

simplify31.0ms (0.6%)

localize26.0ms (0.5%)

series5.0ms (0.1%)

rewrite94.0ms (1.9%)

simplify112.0ms (2.3%)

eval156.0ms (3.2%)

prune50.0ms (1%)

simplify9.0ms (0.2%)

localize21.0ms (0.4%)

series55.0ms (1.1%)

rewrite72.0ms (1.5%)

simplify89.0ms (1.8%)

eval14.0ms (0.3%)

prune17.0ms (0.3%)

regimes14.0ms (0.3%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes74.0ms (1.5%)

bsearch11.0ms (0.2%)

bsearch9.0ms (0.2%)

bsearch13.0ms (0.3%)

simplify5.0ms (0.1%)

soundness918.0ms (18.8%)

preprocess40.0ms (0.8%)

end0.0ms (0%)

Profiling