Metrics for Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1

analyze1.0ms (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

Results

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

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

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 ival-mult, time spent: 0.0ms, 0.0% of total-time

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

sample2.1s (29.8%)

Results

1.7s	7265×	256	valid
233.0ms	988×	256	infinite
1.0ms	3×	1024	valid

Precisions

Click to see histograms. Total time spent on operations: 601.0ms

Operation ival-div, time spent: 296.0ms, 49.0% of total-time

Operation ival-add, time spent: 170.0ms, 28.0% of total-time

Operation ival-mult, time spent: 113.0ms, 19.0% of total-time

Operation const, time spent: 23.0ms, 4.0% of total-time

Bogosity

preprocess459.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

1010×	`fma-neg`
531×	`fma-define`
206×	`distribute-rgt-in`
150×	`sub-neg`
138×	`unsub-neg`

FPErrors

Click to see full error table

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

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	40	435
1	99	371
2	275	371
3	801	323
4	1690	297
5	2822	292
6	3298	292
7	3484	292
8	3535	292
9	3543	292
10	3543	276
11	4081	276
12	4081	276

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

Compiler

Compiled 72 to 38 computations (47.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

Operation ival-div, time spent: 17.0ms, 46.0% of total-time

Operation ival-add, time spent: 12.0ms, 32.0% of total-time

Operation ival-mult, time spent: 6.0ms, 16.0% of total-time

Operation const, time spent: 3.0ms, 8.0% of total-time

eval1.0ms (0%)

Results

Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
▶	100.0%	(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))
▶	100.0%	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)

Results

Compiler

Compiled 31 to 21 computations (32.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

localize110.0ms (1.6%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
✓	100.0%	(+.f64 (*.f64 x y) z)
✓	100.0%	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
✓	100.0%	(*.f64 x (-.f64 y #s(literal -1/2 binary64)))

Results

Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

Operation ival-add, time spent: 10.0ms, 27.0% of total-time

Operation ival-mult, time spent: 9.0ms, 24.0% of total-time

Operation ival-sub, time spent: 7.0ms, 19.0% of total-time

Operation composed, time spent: 5.0ms, 13.0% of total-time

Operation ival-div, time spent: 4.0ms, 11.0% of total-time

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

series27.0ms (0.4%)

Counts

4 → 132

Calls

Call 1

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

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

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(* x (- y -1/2))
1.0ms	y	@	inf	(+ (* x y) z)
1.0ms	y	@	-inf	(* x (- y -1/2))
1.0ms	x	@	inf	(+ (* x (- y -1/2)) z)
1.0ms	x	@	0	(* x (- y -1/2))

Results

Precisions

Click to see histograms. Total time spent on operations: 0ms

rewrite465.0ms (6.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1137×	`log1p-expm1-u`
1137×	`expm1-log1p-u`
554×	`fma-define`
297×	`fma-neg`
100×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	85
1	258	85
2	3113	85

Stop Event

1×	node limit

Counts

4 → 184

Calls

Call 1

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

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

Results

Precisions

Click to see histograms. Total time spent on operations: 0ms

simplify311.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

628×	`times-frac`
506×	`distribute-lft-in`
505×	`distribute-rgt-in`
286×	`*-commutative`
244×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	364	9947
1	862	9725
2	2291	9533
3	7970	9533

Stop Event

1×	node limit

Counts

316 → 218

Calls

Call 1

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

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

Results

Precisions

Click to see histograms. Total time spent on operations: 0ms

eval97.0ms (1.4%)

Results

Compiler

Compiled 2867 to 1585 computations (44.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

prune76.0ms (1.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	213	5	218
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	214	7	221

Accuracy

100.0%

Counts

221 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))
✓	100.0%	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
▶	74.1%	(+.f64 (*.f64 x y) z)
▶	64.5%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
▶	85.0%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) y) z))))
▶	86.4%	(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))
▶	38.9%	z

Results

Compiler

Compiled 114 to 79 computations (30.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

localize227.0ms (3.3%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 #s(literal 1/2 binary64) y) z)
✓	95.0%	(*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) y) z))
✓	90.0%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) y) z))))
	100.0%	(+.f64 (*.f64 x y) z)
✓	86.4%	(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))

Results

Compiler

Compiled 93 to 47 computations (49.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

Operation ival-add, time spent: 34.0ms, 39.0% of total-time

Operation ival-mult, time spent: 28.0ms, 32.0% of total-time

Operation ival-div, time spent: 21.0ms, 24.0% of total-time

Operation const, time spent: 5.0ms, 6.0% of total-time

series38.0ms (0.5%)

Counts

4 → 120

Calls

Call 1

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

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

Calls

33 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(* x (+ (+ 1/2 y) (/ z x)))
4.0ms	z	@	inf	(* x (+ (+ 1/2 y) (/ z x)))
1.0ms	x	@	-inf	(* x (+ (+ 1/2 y) (/ z x)))
1.0ms	y	@	-inf	(* z (+ 1 (* x (/ (+ 1/2 y) z))))
1.0ms	y	@	0	(* x (+ (+ 1/2 y) (/ z x)))

Results

Precisions

Click to see histograms. Total time spent on operations: 0ms

rewrite351.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1055×	`log1p-expm1-u`
956×	`expm1-log1p-u`
131×	`add-exp-log`
131×	`add-log-exp`
131×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	127
1	291	123
2	4599	123

Stop Event

1×	node limit

Counts

4 → 114

Calls

Call 1

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

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

Results

Precisions

Click to see histograms. Total time spent on operations: 0ms

simplify145.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

720×	`associate-/r*`
344×	`cancel-sign-sub-inv`
296×	`fma-neg`
288×	`distribute-lft-neg-in`
275×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	347	7923
1	903	7296
2	3391	6847

Stop Event

1×	node limit

Counts

234 → 178

Calls

Call 1

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

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

Results

Precisions

Click to see histograms. Total time spent on operations: 0ms

eval73.0ms (1.1%)

Results

Compiler

Compiled 3582 to 2035 computations (43.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

prune40.0ms (0.6%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	239	4	243
Fresh	0	0	0
Picked	2	3	5
Done	0	2	2
Total	241	9	250

Accuracy

100.0%

Counts

250 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))
✓	100.0%	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
✓	74.1%	(+.f64 (*.f64 x y) z)
✓	64.5%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
▶	64.7%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 y z))))
▶	60.5%	(*.f64 x (+.f64 y (/.f64 z x)))
▶	62.3%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
▶	37.3%	(*.f64 x y)
✓	38.9%	z

Results

Compiler

Compiled 78 to 53 computations (32.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

localize84.0ms (1.2%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	93.6%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 y z))))
✓	91.3%	(*.f64 x (/.f64 y z))
✓	100.0%	(+.f64 y (/.f64 z x))
✓	86.4%	(*.f64 x (+.f64 y (/.f64 z x)))
✓	100.0%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))

Results

Compiler

Compiled 66 to 22 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

Operation ival-mult, time spent: 10.0ms, 43.0% of total-time

Operation ival-add, time spent: 7.0ms, 30.0% of total-time

Operation ival-div, time spent: 5.0ms, 21.0% of total-time

Operation const, time spent: 1.0ms, 4.0% of total-time

series20.0ms (0.3%)

Counts

5 → 141

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(* x (+ y (/ z x)))
2.0ms	x	@	inf	(* x (/ y z))
1.0ms	z	@	inf	(* x (/ y z))
1.0ms	y	@	0	(* x (/ y z))
1.0ms	z	@	-inf	(* z (+ 1 (* x (/ y z))))

Results

Precisions

Click to see histograms. Total time spent on operations: 0ms

rewrite197.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1066×	`log1p-expm1-u`
929×	`expm1-log1p-u`
143×	`add-cube-cbrt`
142×	`add-exp-log`
142×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	131
1	312	127
2	4764	127

Stop Event

1×	node limit

Counts

5 → 138

Calls

Call 1

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

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

Results

Precisions

Click to see histograms. Total time spent on operations: 0ms

simplify169.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

531×	`distribute-lft-in`
489×	`distribute-rgt-in`
460×	`cancel-sign-sub-inv`
430×	`fma-neg`
289×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	379	8780
1	933	8531
2	3270	8271

Stop Event

1×	node limit

Counts

279 → 200

Calls

Call 1

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

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

Results

Precisions

Click to see histograms. Total time spent on operations: 0ms

eval54.0ms (0.8%)

Results

Compiler

Compiled 2758 to 1171 computations (57.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

prune37.0ms (0.5%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	198	2	200
Fresh	0	0	0
Picked	0	4	4
Done	1	4	5
Total	199	10	209

Accuracy

100.0%

Counts

209 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
▶	62.3%	(+.f64 (.f64 x y) (.f64 x #s(literal 1/2 binary64)))
✓	74.1%	(+.f64 (*.f64 x y) z)
✓	64.5%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
✓	64.7%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 y z))))
✓	60.5%	(*.f64 x (+.f64 y (/.f64 z x)))
✓	62.3%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
✓	37.3%	(*.f64 x y)
▶	27.4%	(*.f64 #s(literal 1/2 binary64) x)
✓	38.9%	z

Results

Compiler

Compiled 82 to 57 computations (30.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

localize49.0ms (0.7%)

Results

Compiler

Compiled 25 to 14 computations (44% saved)

Precisions

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

Operation ival-mult, time spent: 12.0ms, 80.0% of total-time

Operation ival-add, time spent: 2.0ms, 13.0% of total-time

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

eval0.0ms (0%)

Results

Compiler

Compiled 3 to 3 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

prune20.0ms (0.3%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	8	8
Total	10	10

Accuracy

100.0%

Counts

10 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
✓	62.3%	(+.f64 (.f64 x y) (.f64 x #s(literal 1/2 binary64)))
✓	74.1%	(+.f64 (*.f64 x y) z)
✓	64.5%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
✓	64.7%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 y z))))
✓	60.5%	(*.f64 x (+.f64 y (/.f64 z x)))
✓	62.3%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
✓	37.3%	(*.f64 x y)
✓	27.4%	(*.f64 #s(literal 1/2 binary64) x)
✓	38.9%	z

Results

Compiler

Compiled 181 to 107 computations (40.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

regimes31.0ms (0.4%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
7.0ms	y
5.0ms	z
5.0ms	x
4.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))

Results

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

Results

Compiler

Compiled 34 to 24 computations (29.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

regimes13.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	y
4.0ms	z
4.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`

Results

Compiler

Compiled 12 to 9 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

regimes26.0ms (0.4%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	z
8.0ms	x
7.0ms	y

Results

Accuracy	Segments	Branch
91.6%	3	`x`
99.1%	3	`y`
89.5%	5	`z`

Results

Compiler

Compiled 12 to 9 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

regimes14.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	y
6.0ms	x

Results

Accuracy	Segments	Branch
83.0%	3	`x`
88.9%	3	`y`

Results

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

regimes17.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	y
5.0ms	z
4.0ms	x

Results

Accuracy	Segments	Branch
83.1%	5	`x`
80.0%	3	`z`
71.5%	7	`y`

Results

Compiler

Compiled 12 to 9 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

regimes19.0ms (0.3%)

Counts

3 → 6

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	z
6.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
68.2%	6	`y`
63.9%	7	`x`
63.6%	7	`z`

Results

Compiler

Compiled 12 to 9 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

regimes11.0ms (0.2%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 #s(literal 1/2 binary64) x)

Outputs
(*.f64 #s(literal 1/2 binary64) x)
z
(*.f64 #s(literal 1/2 binary64) x)

Calls

3 calls:

4.0ms	y
4.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
52.2%	3	`z`
56.2%	3	`x`
44.9%	5	`y`

Results

Compiler

Compiled 12 to 9 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

2 calls:

1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
38.9%	1	`z`
38.9%	1	`x`

Results

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

bsearch143.0ms (2.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
120.0ms	2.074628295820187e-10	0.007251027464369675
20.0ms	-21.242937379372083	-1.706369629395531e-10

Results

137.0ms

304×

256

valid

Compiler

Compiled 360 to 260 computations (27.8% saved)

Precisions

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

Operation ival-div, time spent: 3.0ms, 34.0% of total-time

Operation ival-add, time spent: 3.0ms, 34.0% of total-time

Operation ival-mult, time spent: 2.0ms, 23.0% of total-time

Operation const, time spent: 1.0ms, 11.0% of total-time

bsearch49.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	1558380.6953700073	1656041.6781962742
43.0ms	-1.706369629395531e-10	-1.3000916794562558e-19

Results

43.0ms

160×

256

valid

Compiler

Compiled 198 to 153 computations (22.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

Operation ival-add, time spent: 19.0ms, 81.0% of total-time

Operation ival-div, time spent: 2.0ms, 9.0% of total-time

Operation ival-mult, time spent: 2.0ms, 9.0% of total-time

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

bsearch60.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	1.6518871973542602e+141	9.307380638707092e+145
28.0ms	-1.1894631938567231e+94	-6.560929065704247e+92

Results

46.0ms	212×	256	valid
5.0ms	28×	256	infinite

Compiler

Compiled 228 to 178 computations (21.9% saved)

Precisions

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

Operation ival-add, time spent: 5.0ms, 39.0% of total-time

Operation ival-div, time spent: 4.0ms, 31.0% of total-time

Operation ival-mult, time spent: 3.0ms, 23.0% of total-time

Operation const, time spent: 1.0ms, 8.0% of total-time

bsearch301.0ms (4.3%)

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	1558380.6953700073	1656041.6781962742
33.0ms	2.9137515312959755e-149	9.986061468207691e-143
87.0ms	6.89131532035839e-276	4.9233377456591945e-263
28.0ms	-3.446063103328259e-136	-1.0264863072194602e-138
142.0ms	-21.242937379372083	-1.706369629395531e-10

Results

282.0ms

608×

256

valid

Compiler

Compiled 494 to 402 computations (18.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

Operation ival-add, time spent: 13.0ms, 40.0% of total-time

Operation ival-div, time spent: 9.0ms, 28.0% of total-time

Operation ival-mult, time spent: 9.0ms, 28.0% of total-time

Operation const, time spent: 2.0ms, 6.0% of total-time

bsearch61.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	2.1161546322945696e-57	2.1220898068404896e-50
25.0ms	-1.6133118771186852e+28	-1.3442686013889816e+26

Results

51.0ms	250×	256	valid
1.0ms	6×	256	infinite

Compiler

Compiled 210 to 173 computations (17.6% saved)

Precisions

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

Operation ival-add, time spent: 6.0ms, 44.0% of total-time

Operation ival-div, time spent: 4.0ms, 29.0% of total-time

Operation ival-mult, time spent: 4.0ms, 29.0% of total-time

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

simplify22.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
8×	`if-if-or-not`
5×	`*-commutative`
2×	`sub-neg`
1×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	420
1	92	420
2	97	420
3	99	420
4	100	420

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(if (<=.f64 y #s(literal -1/2 binary64)) (+.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 4150517416584649/576460752303423488 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (+.f64 (*.f64 x y) z)))
(if (<=.f64 y #s(literal -6576556458703583/38685626227668133590597632 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 1650000 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 z #s(literal -5300000000000000403587807821455979323795032135277140132401378081942265167501685899858710364160 binary64)) z (if (<=.f64 z #s(literal 3399999999999999820796686195587365129713107191203422240243805144996003338210409264111056329157281040042175722791970948027271577146041418383360 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z))
(if (<=.f64 y #s(literal -1/2 binary64)) (.f64 x y) (if (<=.f64 y #s(literal -8275131456761447/209496998905353079680844140596966345741865090946756146526930647558152562969899171512529285908857866057656747784163844544589904418936665155413025765720064 binary64)) (.f64 #s(literal 1/2 binary64) x) (if (<=.f64 y #s(literal 6899758455336913/4758454107128905800953799994079681792420032645310062268978469949811010102913293995344538606387700321887355916128617513761454672785743698264930657859527662802505506689431871596616596511469752757984765426503524599059416795862009216282102716609115705865638544337453260521036049116206989312 binary64)) z (if (<=.f64 y #s(literal 8753086678663243/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664 binary64)) (.f64 #s(literal 1/2 binary64) x) (if (<=.f64 y #s(literal 1650000 binary64)) z (.f64 x y))))))
(if (<=.f64 x #s(literal -309999999999999995872804864 binary64)) (.f64 #s(literal 1/2 binary64) x) (if (<=.f64 x #s(literal 5054990000090745/421249166674228746791672110734681729275580381602196445017243910144 binary64)) z (.f64 #s(literal 1/2 binary64) x)))
z

Outputs
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x y)) z)
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(+.f64 z (*.f64 x (-.f64 y #s(literal -1/2 binary64))))
(if (<=.f64 y #s(literal -1/2 binary64)) (+.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 4150517416584649/576460752303423488 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (+.f64 (*.f64 x y) z)))
(if (or (<=.f64 y #s(literal -1/2 binary64)) (not (<=.f64 y #s(literal 4150517416584649/576460752303423488 binary64)))) (+.f64 z (.f64 x y)) (+.f64 z (.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal -6576556458703583/38685626227668133590597632 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 1650000 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))
(if (or (<=.f64 y #s(literal -6576556458703583/38685626227668133590597632 binary64)) (not (<=.f64 y #s(literal 1650000 binary64)))) (.f64 x (+.f64 y #s(literal 1/2 binary64))) (+.f64 z (.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 z #s(literal -5300000000000000403587807821455979323795032135277140132401378081942265167501685899858710364160 binary64)) z (if (<=.f64 z #s(literal 3399999999999999820796686195587365129713107191203422240243805144996003338210409264111056329157281040042175722791970948027271577146041418383360 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z))
(if (<=.f64 z #s(literal -5300000000000000403587807821455979323795032135277140132401378081942265167501685899858710364160 binary64)) z (if (<=.f64 z #s(literal 3399999999999999820796686195587365129713107191203422240243805144996003338210409264111056329157281040042175722791970948027271577146041418383360 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z))
(if (<=.f64 y #s(literal -1/2 binary64)) (.f64 x y) (if (<=.f64 y #s(literal -8275131456761447/209496998905353079680844140596966345741865090946756146526930647558152562969899171512529285908857866057656747784163844544589904418936665155413025765720064 binary64)) (.f64 #s(literal 1/2 binary64) x) (if (<=.f64 y #s(literal 6899758455336913/4758454107128905800953799994079681792420032645310062268978469949811010102913293995344538606387700321887355916128617513761454672785743698264930657859527662802505506689431871596616596511469752757984765426503524599059416795862009216282102716609115705865638544337453260521036049116206989312 binary64)) z (if (<=.f64 y #s(literal 8753086678663243/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664 binary64)) (.f64 #s(literal 1/2 binary64) x) (if (<=.f64 y #s(literal 1650000 binary64)) z (.f64 x y))))))
(if (<=.f64 y #s(literal -1/2 binary64)) (.f64 x y) (if (<=.f64 y #s(literal -8275131456761447/209496998905353079680844140596966345741865090946756146526930647558152562969899171512529285908857866057656747784163844544589904418936665155413025765720064 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 y #s(literal 6899758455336913/4758454107128905800953799994079681792420032645310062268978469949811010102913293995344538606387700321887355916128617513761454672785743698264930657859527662802505506689431871596616596511469752757984765426503524599059416795862009216282102716609115705865638544337453260521036049116206989312 binary64)) z (if (<=.f64 y #s(literal 8753086678663243/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 y #s(literal 1650000 binary64)) z (.f64 x y))))))
(if (<=.f64 x #s(literal -309999999999999995872804864 binary64)) (.f64 #s(literal 1/2 binary64) x) (if (<=.f64 x #s(literal 5054990000090745/421249166674228746791672110734681729275580381602196445017243910144 binary64)) z (.f64 #s(literal 1/2 binary64) x)))
(if (or (<=.f64 x #s(literal -309999999999999995872804864 binary64)) (not (<=.f64 x #s(literal 5054990000090745/421249166674228746791672110734681729275580381602196445017243910144 binary64)))) (*.f64 x #s(literal 1/2 binary64)) z)
z

Results

Compiler

Compiled 141 to 96 computations (31.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

soundness711.0ms (10.2%)

Rules

1010×	`fma-neg`
628×	`times-frac`
531×	`fma-define`
506×	`distribute-lft-in`
505×	`distribute-rgt-in`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	40	435
1	99	371
2	275	371
3	801	323
4	1690	297
5	2822	292
6	3298	292
7	3484	292
8	3535	292
9	3543	292
10	3543	276
11	4081	276
12	4081	276
0	364	9947
1	862	9725
2	2291	9533
3	7970	9533

Stop Event

1×	node limit
1×	saturated

Results

Compiler

Compiled 147 to 83 computations (43.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 0ms

end52.0ms (0.7%)

preprocess287.0ms (4.1%)

Compiler: Compiled 264 to 162 computations (38.6% saved)

analyze1.0ms (0%)

sample2.1s (29.8%)

preprocess459.0ms (6.6%)

eval1.0ms (0%)

prune2.0ms (0%)

localize110.0ms (1.6%)

series27.0ms (0.4%)

rewrite465.0ms (6.7%)

simplify311.0ms (4.5%)

eval97.0ms (1.4%)

prune76.0ms (1.1%)

localize227.0ms (3.3%)

series38.0ms (0.5%)

rewrite351.0ms (5.1%)

simplify145.0ms (2.1%)

eval73.0ms (1.1%)

prune40.0ms (0.6%)

localize84.0ms (1.2%)

series20.0ms (0.3%)

rewrite197.0ms (2.8%)

simplify169.0ms (2.4%)

eval54.0ms (0.8%)

prune37.0ms (0.5%)

localize49.0ms (0.7%)

eval0.0ms (0%)

prune20.0ms (0.3%)

regimes31.0ms (0.4%)

regimes13.0ms (0.2%)

regimes26.0ms (0.4%)

regimes14.0ms (0.2%)

regimes17.0ms (0.2%)

regimes19.0ms (0.3%)

regimes11.0ms (0.2%)

regimes2.0ms (0%)

bsearch143.0ms (2.1%)

bsearch49.0ms (0.7%)

bsearch60.0ms (0.9%)

bsearch301.0ms (4.3%)

bsearch61.0ms (0.9%)

simplify22.0ms (0.3%)

soundness711.0ms (10.2%)

end52.0ms (0.7%)

preprocess287.0ms (4.1%)

Profiling