Metrics for Graphics.Rendering.Chart.Axis.Types:hBufferRect from Chart-1.5.3

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

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

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-div, time spent: 0.0ms, 0.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.1s (42.1%)

Results

947.0ms	7718×	256	valid
41.0ms	209×	1024	valid
43.0ms	178×	2048	valid
22.0ms	149×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 221.0ms

Operation ival-div, time spent: 79.0ms, 36.0% of total-time

Operation ival-sub, time spent: 72.0ms, 33.0% of total-time

Operation ival-add, time spent: 55.0ms, 25.0% of total-time

Operation const, time spent: 16.0ms, 7.0% of total-time

Bogosity

preprocess173.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

539×	`fmm-def`
168×	`fma-define`
66×	`sub-neg`
58×	`distribute-rgt-in`
54×	`cancel-sign-sub-inv`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(-.f64 x y)`
-	-	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
-	-	`y`
-	-	`#s(literal 2 binary64)`
-	-	`(/.f64 (-.f64 x y) #s(literal 2 binary64))`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	220
1	57	196
2	163	196
3	468	178
4	898	147
5	1370	147
6	1612	147
7	1638	147

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+.f64 (neg.f64 x) (/.f64 (-.f64 (neg.f64 x) y) #s(literal 2 binary64)))
(-.f64 (/.f64 (+.f64 x y) #s(literal -2 binary64)) x)
(+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal -3/2 binary64)))
(fma.f64 x #s(literal -3/2 binary64) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 x (/.f64 (-.f64 x (neg.f64 y)) #s(literal 2 binary64)))
(+.f64 x (/.f64 (+.f64 x y) #s(literal 2 binary64)))
(+.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (-.f64 (neg.f64 x) y) #s(literal 2 binary64))))
(+.f64 x (/.f64 (-.f64 x (neg.f64 y)) #s(literal 2 binary64)))
(+.f64 x (/.f64 (+.f64 x y) #s(literal 2 binary64)))
(+.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(neg.f64 (+.f64 x (/.f64 (-.f64 x (neg.f64 y)) #s(literal 2 binary64))))
(+.f64 (neg.f64 x) (/.f64 (-.f64 (neg.f64 x) y) #s(literal 2 binary64)))
(-.f64 (/.f64 (+.f64 x y) #s(literal -2 binary64)) x)
(+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal -3/2 binary64)))
(fma.f64 x #s(literal -3/2 binary64) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 y (/.f64 (-.f64 y x) #s(literal 2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) (*.f64 y #s(literal 3/2 binary64)))

Compiler

Compiled 51 to 26 computations (49% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

Operation ival-div, time spent: 9.0ms, 49.0% of total-time

Operation ival-sub, time spent: 4.0ms, 22.0% of total-time

Operation ival-add, time spent: 3.0ms, 16.0% of total-time

Operation const, time spent: 2.0ms, 11.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize45.0ms (1.7%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.8%	(+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))

Compiler

Compiled 20 to 14 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

Operation ival-mult, time spent: 11.0ms, 75.0% of total-time

Operation ival-add, time spent: 3.0ms, 21.0% of total-time

Operation const, time spent: 1.0ms, 7.0% of total-time

series3.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(+ (* y -1/2) (* x 3/2))
1.0ms	y	@	0	(+ (* y -1/2) (* x 3/2))
0.0ms	x	@	inf	(+ (* y -1/2) (* x 3/2))
0.0ms	x	@	0	(+ (* y -1/2) (* x 3/2))
0.0ms	y	@	-inf	(+ (* y -1/2) (* x 3/2))

rewrite204.0ms (7.7%)

Algorithm

1×	batch-egg-rewrite

Rules

581×	`log1p-expm1-u`
581×	`expm1-log1p-u`
561×	`unpow-prod-down`
502×	`pow1`
300×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	120	21
2	1598	21

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

Inputs
(+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 y #s(literal -1/2 binary64) (.f64 #s(literal -3/2 binary64) x))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9/4 binary64)) (fma.f64 y #s(literal -1/2 binary64) (.f64 #s(literal -3/2 binary64) x))))
(.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64))
(.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))))
(.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))))
(.f64 (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27/8 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 3/2 binary64)) (-.f64 (.f64 x #s(literal 3/2 binary64)) (.f64 y #s(literal -1/2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(.f64 (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) (.f64 #s(literal -3/2 binary64) x))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64))))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))) (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64))))))
(.f64 (pow.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x #s(literal 3/2 binary64)) (-.f64 (.f64 x #s(literal 3/2 binary64)) (.f64 y #s(literal -1/2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 #s(literal -3/2 binary64) x)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27/8 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 (.f64 x #s(literal 3/2 binary64)) (-.f64 (.f64 x #s(literal 3/2 binary64)) (.f64 y #s(literal -1/2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27/8 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9/4 binary64) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9/4 binary64))) (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27/8 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 (.f64 x #s(literal 3/2 binary64)) (-.f64 (.f64 x #s(literal 3/2 binary64)) (.f64 y #s(literal -1/2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9/4 binary64)))) (neg.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9/4 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (.f64 x #s(literal 3/2 binary64)) (.f64 y #s(literal -1/2 binary64))))
(pow.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x #s(literal 3/2 binary64)) (-.f64 (.f64 x #s(literal 3/2 binary64)) (.f64 y #s(literal -1/2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 #s(literal -3/2 binary64) x)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9/4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))))
(exp.f64 (log.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64) (.f64 x #s(literal 3/2 binary64)))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64) (.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 3/2 binary64)) (.f64 y #s(literal -1/2 binary64)))
(fma.f64 (cbrt.f64 (.f64 x #s(literal 3/2 binary64))) (pow.f64 (cbrt.f64 (.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 3/2 binary64))) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (cbrt.f64 (.f64 y #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 (.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 y #s(literal -1/2 binary64))) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) (.f64 y #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (.f64 x #s(literal 3/2 binary64))) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 y #s(literal -1/2 binary64))) (sqrt.f64 (.f64 y #s(literal -1/2 binary64))) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (.f64 y #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))
(fma.f64 (.f64 #s(literal 3/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 y #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (.f64 y #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 x #s(literal 3/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y) (.f64 x #s(literal 3/2 binary64)))

simplify79.0ms (3%)

Algorithm

1×	egg-herbie

Rules

568×	`distribute-lft-in`
557×	`distribute-rgt-in`
538×	`fmm-def`
463×	`distribute-lft-neg-in`
398×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	190	2728
1	413	2620
2	1032	2602
3	3827	2578

Stop Event

1×	node limit

Counts

88 → 84

Calls

Call 1

Inputs
(*.f64 #s(literal 3/2 binary64) x)
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) y)
(.f64 y (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))
(.f64 y (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))
(.f64 y (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1/2 binary64) y)
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
(.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 #s(literal 3/2 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 3/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 3/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 3/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 y #s(literal -1/2 binary64) (.f64 #s(literal -3/2 binary64) x))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9/4 binary64)) (fma.f64 y #s(literal -1/2 binary64) (.f64 #s(literal -3/2 binary64) x))))
(.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64))
(.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))))
(.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))))
(.f64 (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27/8 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal 3/2 binary64)) (-.f64 (.f64 x #s(literal 3/2 binary64)) (.f64 y #s(literal -1/2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(.f64 (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) (.f64 #s(literal -3/2 binary64) x))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64))))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))) (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64))))))
(.f64 (pow.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x #s(literal 3/2 binary64)) (-.f64 (.f64 x #s(literal 3/2 binary64)) (.f64 y #s(literal -1/2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 #s(literal -3/2 binary64) x)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27/8 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 (.f64 x #s(literal 3/2 binary64)) (-.f64 (.f64 x #s(literal 3/2 binary64)) (.f64 y #s(literal -1/2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27/8 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9/4 binary64) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9/4 binary64))) (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27/8 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 (.f64 x #s(literal 3/2 binary64)) (-.f64 (.f64 x #s(literal 3/2 binary64)) (.f64 y #s(literal -1/2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9/4 binary64)))) (neg.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9/4 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (.f64 x #s(literal 3/2 binary64)) (.f64 y #s(literal -1/2 binary64))))
(pow.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x #s(literal 3/2 binary64)) (-.f64 (.f64 x #s(literal 3/2 binary64)) (.f64 y #s(literal -1/2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 #s(literal -3/2 binary64) x)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9/4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))))
(exp.f64 (log.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64) (.f64 x #s(literal 3/2 binary64)))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64) (.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 3/2 binary64)) (.f64 y #s(literal -1/2 binary64)))
(fma.f64 (cbrt.f64 (.f64 x #s(literal 3/2 binary64))) (pow.f64 (cbrt.f64 (.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 3/2 binary64))) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (cbrt.f64 (.f64 y #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 (.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 y #s(literal -1/2 binary64))) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) (.f64 y #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (.f64 x #s(literal 3/2 binary64))) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 y #s(literal -1/2 binary64))) (sqrt.f64 (.f64 y #s(literal -1/2 binary64))) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (.f64 y #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))
(fma.f64 (.f64 #s(literal 3/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 y #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (.f64 y #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 x #s(literal 3/2 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y) (.f64 x #s(literal 3/2 binary64)))

Outputs
(*.f64 #s(literal 3/2 binary64) x)
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) y)
(.f64 y (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(.f64 y (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(.f64 y (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y)))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y)))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y)))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) y)
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
(.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
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(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(pow.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(pow.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(pow.f64 (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(pow.f64 (/.f64 (fma.f64 (.f64 x #s(literal 3/2 binary64)) (-.f64 (.f64 x #s(literal 3/2 binary64)) (.f64 y #s(literal -1/2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)))) #s(literal -1 binary64))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27/8 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 3/2 binary64) x) (-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal -1/2 binary64) y)) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27/8 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 (.f64 #s(literal 3/2 binary64) x) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27/8 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9/4 binary64) (.f64 y (+.f64 (.f64 y #s(literal 1/4 binary64)) (.f64 x #s(literal 3/4 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27/8 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9/4 binary64) (.f64 y (fma.f64 y #s(literal 1/4 binary64) (*.f64 x #s(literal 3/4 binary64))))))
(pow.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 #s(literal -3/2 binary64) x)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9/4 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 9/4 binary64))) (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal -3/2 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -9/4 binary64))) (fma.f64 #s(literal -1/2 binary64) y (.f64 x #s(literal -3/2 binary64))))
(sqrt.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(log.f64 (exp.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(cbrt.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(expm1.f64 (log1p.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(log1p.f64 (expm1.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(exp.f64 (log.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(exp.f64 (.f64 (log.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))))) #s(literal 3 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal 3/2 binary64))))) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64) (.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 (.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64) (.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 #s(literal 1 binary64) (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 3/2 binary64)) (.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 (cbrt.f64 (.f64 x #s(literal 3/2 binary64))) (pow.f64 (cbrt.f64 (.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 3/2 binary64))) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 (cbrt.f64 (.f64 y #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 (.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 y #s(literal -1/2 binary64))) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 3/2 binary64)) (.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (.f64 x #s(literal 3/2 binary64))) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 (sqrt.f64 (.f64 y #s(literal -1/2 binary64))) (sqrt.f64 (.f64 y #s(literal -1/2 binary64))) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 (.f64 #s(literal 3/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 (.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y) (.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))

eval29.0ms (1.1%)

Compiler: Compiled 1221 to 931 computations (23.8% saved)

prune13.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	5	85

Accuracy

100.0%

Counts

85 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64)))
✓	99.8%	(+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))
▶	87.0%	(.f64 y (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))
▶	53.9%	(*.f64 #s(literal 3/2 binary64) x)
▶	48.6%	(*.f64 #s(literal -1/2 binary64) y)

Compiler

Compiled 38 to 29 computations (23.7% saved)

localize117.0ms (4.4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.6%	(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
✓	87.0%	(.f64 y (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))

Compiler

Compiled 54 to 31 computations (42.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

Operation ival-mult, time spent: 23.0ms, 55.0% of total-time

Operation composed, time spent: 6.0ms, 14.0% of total-time

Operation ival-div, time spent: 4.0ms, 10.0% of total-time

Operation ival-sub, time spent: 4.0ms, 10.0% of total-time

Operation const, time spent: 3.0ms, 7.0% of total-time

Operation ival-add, time spent: 2.0ms, 5.0% of total-time

series7.0ms (0.3%)

Counts

2 → 21

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(* 3/2 (/ x y))
1.0ms	x	@	0	(* y (- (* 3/2 (/ x y)) 1/2))
1.0ms	y	@	0	(* y (- (* 3/2 (/ x y)) 1/2))
1.0ms	y	@	-inf	(* y (- (* 3/2 (/ x y)) 1/2))
1.0ms	x	@	inf	(* y (- (* 3/2 (/ x y)) 1/2))

rewrite93.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`log1p-expm1-u`
766×	`expm1-log1p-u`
734×	`unpow-prod-down`
401×	`log-prod`
147×	`pow-unpow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	153	49
2	2030	49

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(.f64 y (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))
(+.f64 (.f64 y (.f64 #s(literal 3/2 binary64) (/.f64 x y))) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x y)) y) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) y)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 y (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 27/8 binary64) #s(literal -1/8 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 9/4 binary64) (fma.f64 (/.f64 x y) #s(literal 3/4 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 y (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 9/4 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 27/8 binary64) #s(literal -1/8 binary64)) y) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 9/4 binary64) (fma.f64 (/.f64 x y) #s(literal 3/4 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 9/4 binary64) #s(literal -1/4 binary64)) y) (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(fma.f64 y (.f64 #s(literal 3/2 binary64) (/.f64 x y)) (.f64 y #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x y)) y (.f64 #s(literal -1/2 binary64) y))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (/.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (/.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) #s(literal 1 binary64))
(/.f64 #s(literal 3/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3/2 binary64) x)))
(/.f64 (*.f64 #s(literal 3/2 binary64) x) y)
(/.f64 (neg.f64 (*.f64 #s(literal 3/2 binary64) x)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 3/2 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 3/2 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 #s(literal 3/2 binary64) x)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x y)))) #s(literal 2 binary64)))

simplify91.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

698×	`associate-r`
615×	`associate-l`
583×	`fmm-def`
420×	`fma-define`
416×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	2431
1	348	2323
2	954	2227
3	5725	2227

Stop Event

1×	node limit

Counts

77 → 87

Calls

Call 1

Inputs
(*.f64 #s(literal 3/2 binary64) x)
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1/2 binary64) y)
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
(.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 #s(literal 3/2 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 3/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 3/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 3/2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))
(+.f64 (.f64 y (.f64 #s(literal 3/2 binary64) (/.f64 x y))) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x y)) y) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) y)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 y (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 27/8 binary64) #s(literal -1/8 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 9/4 binary64) (fma.f64 (/.f64 x y) #s(literal 3/4 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 y (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 9/4 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 27/8 binary64) #s(literal -1/8 binary64)) y) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 9/4 binary64) (fma.f64 (/.f64 x y) #s(literal 3/4 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 9/4 binary64) #s(literal -1/4 binary64)) y) (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(fma.f64 y (.f64 #s(literal 3/2 binary64) (/.f64 x y)) (.f64 y #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x y)) y (.f64 #s(literal -1/2 binary64) y))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (/.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (/.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) #s(literal 1 binary64))
(/.f64 #s(literal 3/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3/2 binary64) x)))
(/.f64 (*.f64 #s(literal 3/2 binary64) x) y)
(/.f64 (neg.f64 (*.f64 #s(literal 3/2 binary64) x)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 3/2 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 3/2 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) x) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 #s(literal 3/2 binary64) x)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x y)))) #s(literal 2 binary64)))

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

eval26.0ms (1%)

Compiler: Compiled 1175 to 756 computations (35.7% saved)

prune14.0ms (0.5%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	86	6	92

Accuracy

100.0%

Counts

92 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64)))
✓	99.8%	(+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))
▶	87.0%	(.f64 y (-.f64 (.f64 x (/.f64 #s(literal 3/2 binary64) y)) #s(literal 1/2 binary64)))
✓	87.0%	(.f64 y (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))
✓	53.9%	(*.f64 #s(literal 3/2 binary64) x)
✓	48.6%	(*.f64 #s(literal -1/2 binary64) y)

Compiler

Compiled 49 to 37 computations (24.5% saved)

localize75.0ms (2.8%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.7%	(*.f64 x (/.f64 #s(literal 3/2 binary64) y))
✓	87.0%	(.f64 y (-.f64 (.f64 x (/.f64 #s(literal 3/2 binary64) y)) #s(literal 1/2 binary64)))

Compiler

Compiled 31 to 21 computations (32.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

Operation ival-div, time spent: 12.0ms, 44.0% of total-time

Operation ival-mult, time spent: 10.0ms, 37.0% of total-time

Operation ival-sub, time spent: 4.0ms, 15.0% of total-time

Operation const, time spent: 2.0ms, 7.0% of total-time

series2.0ms (0.1%)

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(* y (- (* x (/ 3/2 y)) 1/2))
0.0ms	y	@	-inf	(* y (- (* x (/ 3/2 y)) 1/2))
0.0ms	x	@	-inf	(* y (- (* x (/ 3/2 y)) 1/2))
0.0ms	y	@	inf	(* y (- (* x (/ 3/2 y)) 1/2))
0.0ms	x	@	inf	(* y (- (* x (/ 3/2 y)) 1/2))

rewrite88.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

727×	`log1p-expm1-u`
727×	`expm1-log1p-u`
673×	`unpow-prod-down`
378×	`log-prod`
134×	`pow-unpow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	154	49
2	1961	49

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(.f64 y (-.f64 (.f64 x (/.f64 #s(literal 3/2 binary64) y)) #s(literal 1/2 binary64)))
(*.f64 x (/.f64 #s(literal 3/2 binary64) y))

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

simplify79.0ms (3%)

Algorithm

1×	egg-herbie

Rules

459×	`fma-define`
442×	`fmm-def`
375×	`distribute-lft-neg-out`
273×	`distribute-rgt-neg-out`
260×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	176	2578
1	363	2554
2	986	2534
3	4113	2478

Stop Event

1×	node limit

Counts

104 → 89

Calls

Call 1

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

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

eval29.0ms (1.1%)

Compiler: Compiled 1250 to 873 computations (30.2% saved)

prune15.0ms (0.6%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	89	6	95

Accuracy

100.0%

Counts

95 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64)))
✓	99.8%	(+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))
✓	87.0%	(.f64 y (-.f64 (.f64 x (/.f64 #s(literal 3/2 binary64) y)) #s(literal 1/2 binary64)))
✓	87.0%	(.f64 y (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))
✓	53.9%	(*.f64 #s(literal 3/2 binary64) x)
✓	48.6%	(*.f64 #s(literal -1/2 binary64) y)

Compiler

Compiled 95 to 68 computations (28.4% saved)

regimes18.0ms (0.7%)

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))
(.f64 y (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))
(.f64 y (-.f64 (.f64 x (/.f64 #s(literal 3/2 binary64) y)) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64)))

Outputs
(fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64)))

Calls

3 calls:

11.0ms	y
3.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))
(.f64 y (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))
(.f64 y (-.f64 (.f64 x (/.f64 #s(literal 3/2 binary64) y)) #s(literal 1/2 binary64)))

Outputs
(+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))

Calls

3 calls:

3.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.3%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

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

Calls

3 calls:

3.0ms	y
2.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
2.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes10.0ms (0.4%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)

Outputs
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) y)

Calls

2 calls:

5.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
78.6%	5	`x`
83.1%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
(*.f64 #s(literal -1/2 binary64) y)

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
48.6%	1	`x`
48.6%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch29.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	123535111180356.16	1344924147564938800.0
13.0ms	-2172530625702488.3	-222218805450102.22

Results

23.0ms	212×	256	valid
2.0ms	8×	1024	valid
0.0ms	3×	512	valid
0.0ms	1×	256	valid

Compiler

Compiled 182 to 150 computations (17.6% saved)

Precisions

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

Operation ival-div, time spent: 2.0ms, 38.0% of total-time

Operation ival-sub, time spent: 2.0ms, 38.0% of total-time

Operation ival-add, time spent: 1.0ms, 19.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
3×	`*-commutative`
2×	`sub-neg`
2×	`if-if-or-not`
1×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	135
1	44	135
2	49	135
3	51	135
4	52	135

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -1200000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y) (if (<=.f64 y #s(literal 13500000000000000 binary64)) (.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)))
(*.f64 #s(literal -1/2 binary64) y)

Outputs
(fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -1200000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y) (if (<=.f64 y #s(literal 13500000000000000 binary64)) (.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y)))
(if (or (<=.f64 y #s(literal -1200000000000000 binary64)) (not (<=.f64 y #s(literal 13500000000000000 binary64)))) (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 3/2 binary64)))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))

Compiler

Compiled 48 to 36 computations (25% saved)

soundness212.0ms (8%)

Rules

581×	`log1p-expm1-u`
581×	`expm1-log1p-u`
561×	`unpow-prod-down`
539×	`fmm-def`
502×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	120	21
2	1598	21
0	25	220
1	57	196
2	163	196
3	468	178
4	898	147
5	1370	147
6	1612	147
7	1638	147

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 262 to 176 computations (32.8% saved)

end0.0ms (0%)

preprocess57.0ms (2.2%)

Compiler: Compiled 116 to 82 computations (29.3% saved)

analyze0.0ms (0%)

sample1.1s (42.1%)

preprocess173.0ms (6.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize45.0ms (1.7%)

series3.0ms (0.1%)

rewrite204.0ms (7.7%)

simplify79.0ms (3%)

eval29.0ms (1.1%)

prune13.0ms (0.5%)

localize117.0ms (4.4%)

series7.0ms (0.3%)

rewrite93.0ms (3.5%)

simplify91.0ms (3.4%)

eval26.0ms (1%)

prune14.0ms (0.5%)

localize75.0ms (2.8%)

series2.0ms (0.1%)

rewrite88.0ms (3.3%)

simplify79.0ms (3%)

eval29.0ms (1.1%)

prune15.0ms (0.6%)

regimes18.0ms (0.7%)

regimes9.0ms (0.3%)

regimes7.0ms (0.3%)

regimes10.0ms (0.4%)

regimes2.0ms (0.1%)

bsearch29.0ms (1.1%)

simplify7.0ms (0.3%)

soundness212.0ms (8%)

end0.0ms (0%)

preprocess57.0ms (2.2%)

Profiling