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

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 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

sample1.2s (26.6%)

Results

976.0ms	7236×	256	valid
110.0ms	1017×	256	infinite
0.0ms	1×	256	valid
0.0ms	1×	512	valid
0.0ms	1×	1024	valid

Precisions

Click to see histograms. Total time spent on operations: 435.0ms

Operation ival-add, time spent: 197.0ms, 45.0% of total-time

Operation ival-div, time spent: 146.0ms, 34.0% of total-time

Operation ival-mult, time spent: 78.0ms, 18.0% of total-time

Operation const, time spent: 14.0ms, 3.0% of total-time

Bogosity

preprocess320.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

1010×	`fmm-def`
531×	`fma-define`
206×	`distribute-rgt-in`
150×	`sub-neg`
128×	`associate-+l-`

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	1688	297
5	2817	292
6	3293	292
7	3479	292
8	3529	292
9	3537	292
10	3537	276
11	4075	276
12	4075	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 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
(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 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
(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)
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 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)
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 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 (+.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 #s(literal 1/2 binary64) y)))
(+.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)

Compiler

Compiled 72 to 38 computations (47.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

Operation ival-add, time spent: 13.0ms, 44.0% of total-time

Operation ival-div, time spent: 10.0ms, 34.0% of total-time

Operation ival-mult, time spent: 4.0ms, 14.0% of total-time

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

eval1.0ms (0%)

Compiler: Compiled 33 to 19 computations (42.4% saved)

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

Compiler

Compiled 31 to 21 computations (32.3% saved)

localize85.0ms (1.9%)

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

Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

Operation ival-mult, time spent: 10.0ms, 30.0% of total-time

Operation ival-add, time spent: 7.0ms, 21.0% of total-time

Operation composed, time spent: 5.0ms, 15.0% of total-time

Operation ival-div, time spent: 5.0ms, 15.0% of total-time

Operation ival-sub, time spent: 5.0ms, 15.0% of total-time

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

series93.0ms (2.1%)

Counts

4 → 132

Calls

Call 1

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

Outputs
#<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 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal -1/2 binary64) x))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal -1/2 binary64) x))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal -1/2 binary64) x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))>
#<alt (.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 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (-.f64 z (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y))))>
#<alt (-.f64 z (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y))))>
#<alt (-.f64 z (.f64 #s(literal -1 binary64) (.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 #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 (/.f64 z x) (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y))))>
#<alt (.f64 x (-.f64 (/.f64 z x) (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y))))>
#<alt (.f64 x (-.f64 (/.f64 z x) (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y))))>
#<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 z x)) (+.f64 #s(literal 1/2 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (+.f64 #s(literal 1/2 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (+.f64 #s(literal 1/2 binary64) y))))>
#<alt (-.f64 z (*.f64 #s(literal -1/2 binary64) x))>
#<alt (-.f64 (+.f64 z (.f64 x y)) (.f64 #s(literal -1/2 binary64) x))>
#<alt (-.f64 (+.f64 z (.f64 x y)) (.f64 #s(literal -1/2 binary64) x))>
#<alt (-.f64 (+.f64 z (.f64 x y)) (.f64 #s(literal -1/2 binary64) x))>
#<alt (*.f64 x y)>
#<alt (.f64 y (-.f64 (/.f64 z y) (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (.f64 y (-.f64 (/.f64 z y) (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (.f64 y (-.f64 (/.f64 z y) (+.f64 (.f64 #s(literal -1 binary64) 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) (/.f64 (-.f64 z (.f64 #s(literal -1/2 binary64) x)) y)) x)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (.f64 #s(literal -1/2 binary64) x)) y)) x)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (.f64 #s(literal -1/2 binary64) x)) y)) x)))>
#<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
82.0ms	x	@	-inf	(+ (* x y) z)
1.0ms	y	@	inf	(* x (- -1/2 y))
1.0ms	x	@	0	(* x (- -1/2 y))
1.0ms	x	@	inf	(* x (- -1/2 y))
1.0ms	z	@	inf	(+ (* x y) z)

rewrite295.0ms (6.6%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`log1p-expm1-u`
902×	`expm1-log1p-u`
587×	`fma-define`
273×	`fmm-def`
234×	`log1p-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	89
1	259	89
2	3798	89

Stop Event

1×	node limit

Counts

4 → 176

Calls

Call 1

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

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

simplify218.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

689×	`times-frac`
259×	`distribute-lft-neg-in`
253×	`cancel-sign-sub-inv`
231×	`fmm-def`
210×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	438	11178
1	1066	10175
2	3221	9799

Stop Event

1×	node limit

Counts

308 → 248

Calls

Call 1

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

eval72.0ms (1.6%)

Compiler: Compiled 3827 to 2280 computations (40.4% saved)

prune39.0ms (0.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	244	4	248
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	247	4	251

Accuracy

100.0%

Counts

251 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.8%	(-.f64 z (*.f64 x (neg.f64 y)))
▶	69.2%	(-.f64 z (*.f64 x #s(literal -1/2 binary64)))
▶	55.5%	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x y))
▶	55.5%	(*.f64 x (+.f64 y #s(literal 1/2 binary64)))

Compiler

Compiled 35 to 25 computations (28.6% saved)

localize83.0ms (1.8%)

Localize:

Found 3 expressions with local error:

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

Compiler

Compiled 57 to 26 computations (54.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

Operation ival-mult, time spent: 9.0ms, 40.0% of total-time

Operation ival-add, time spent: 5.0ms, 22.0% of total-time

Operation ival-div, time spent: 3.0ms, 13.0% of total-time

Operation ival-sub, time spent: 3.0ms, 13.0% of total-time

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

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

series6.0ms (0.1%)

Counts

3 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite124.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1115×	`log1p-expm1-u`
1115×	`expm1-log1p-u`
272×	`fmm-def`
117×	`add-cube-cbrt`
116×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	64
1	280	60
2	3965	60

Stop Event

1×	node limit

Counts

3 → 164

Calls

Call 1

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

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

simplify232.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

386×	`distribute-rgt-in`
386×	`distribute-lft-in`
326×	`*-commutative`
285×	`cancel-sign-sub-inv`
268×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	301	7498
1	738	6787
2	2348	6669
3	7770	6669

Stop Event

1×	node limit

Counts

248 → 170

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

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

eval81.0ms (1.8%)

Compiler: Compiled 2127 to 1090 computations (48.8% saved)

prune68.0ms (1.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	166	4	170
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	167	7	174

Accuracy

100.0%

Counts

174 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.2%	(-.f64 z (*.f64 x #s(literal -1/2 binary64)))
✓	55.5%	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x y))
▶	76.8%	(+.f64 (*.f64 x y) z)
✓	55.5%	(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
▶	32.9%	(*.f64 x y)
▶	25.2%	(*.f64 x #s(literal 1/2 binary64))
▶	46.0%	z

Compiler

Compiled 50 to 36 computations (28% saved)

localize51.0ms (1.1%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
	100.0%	(+.f64 (*.f64 x y) z)

Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions

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

Operation ival-mult, time spent: 4.0ms, 67.0% of total-time

Operation ival-add, time spent: 1.0ms, 17.0% of total-time

Operation const, time spent: 1.0ms, 17.0% of total-time

eval15.0ms (0.3%)

Compiler: Compiled 715 to 293 computations (59% saved)

prune15.0ms (0.3%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	67	7	74

Accuracy

100.0%

Counts

74 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.2%	(-.f64 z (*.f64 x #s(literal -1/2 binary64)))
✓	55.5%	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x y))
✓	76.8%	(+.f64 (*.f64 x y) z)
✓	55.5%	(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
✓	32.9%	(*.f64 x y)
✓	25.2%	(*.f64 x #s(literal 1/2 binary64))
✓	46.0%	z

Compiler

Compiled 119 to 70 computations (41.2% saved)

regimes23.0ms (0.5%)

Counts

12 → 1

Calls

Call 1

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

6.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
4.0ms	y
4.0ms	z
4.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
4.0ms	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))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes11.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	z
3.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

regimes120.0ms (2.7%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

105.0ms	z
8.0ms	y
7.0ms	x

Results

Accuracy	Segments	Branch
88.0%	3	`x`
99.5%	3	`y`
89.2%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes13.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	z
6.0ms	y

Results

Accuracy	Segments	Branch
89.2%	3	`z`
82.1%	5	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes18.0ms (0.4%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	y
5.0ms	z
4.0ms	x

Results

Accuracy	Segments	Branch
69.8%	7	`y`
76.0%	3	`x`
78.5%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes22.0ms (0.5%)

Counts

3 → 7

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	y
7.0ms	x
7.0ms	z

Results

Accuracy	Segments	Branch
69.1%	7	`y`
63.7%	6	`x`
64.1%	8	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
57.6%	3	`x`
51.4%	5	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

2 calls:

2.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
46.0%	1	`z`
46.0%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch33.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	6.169107509067427e-9	4530918690.887246
13.0ms	-14673146.359798072	-1350708.6099700066

Results

28.0ms	253×	256	valid
0.0ms	2×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 306 to 221 computations (27.8% saved)

Precisions

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

Operation ival-add, time spent: 3.0ms, 43.0% of total-time

Operation ival-div, time spent: 2.0ms, 29.0% of total-time

Operation ival-mult, time spent: 2.0ms, 29.0% of total-time

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

bsearch33.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	7.029107936122484e-134	4.1635953896471823e-113
10.0ms	-1340634.1703823153	-769050.629285343

Results

25.0ms	218×	256	valid
2.0ms	21×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 288 to 208 computations (27.8% saved)

Precisions

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

Operation ival-add, time spent: 3.0ms, 44.0% of total-time

Operation ival-div, time spent: 2.0ms, 29.0% of total-time

Operation ival-mult, time spent: 2.0ms, 29.0% of total-time

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

bsearch22.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.003178563432519e+52	9.640898014444455e+52
11.0ms	-8.566503776705243e+40	-2.7472196565967336e+40

Results

16.0ms	146×	256	valid
2.0ms	13×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 158 to 123 computations (22.2% saved)

Precisions

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

Operation ival-add, time spent: 2.0ms, 45.0% of total-time

Operation ival-div, time spent: 1.0ms, 22.0% of total-time

Operation ival-mult, time spent: 1.0ms, 22.0% of total-time

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

bsearch153.0ms (3.4%)

Algorithm

6×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	5.700409678704565e+31	7.190443618175743e+34
69.0ms	5.635048322602784e-184	1.549297742292885e-183
15.0ms	1.947030279242423e-250	1.6456371494595557e-248
19.0ms	-7.146006948621528e-85	-1.7165745416452332e-91
18.0ms	-4.3332269575437664e-64	-2.9067772249862746e-67
15.0ms	-5.2812077893601645e+32	-2.0739106179036048e+30

Results

140.0ms	693×	256	valid
1.0ms	10×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 546 to 438 computations (19.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

Operation ival-div, time spent: 7.0ms, 33.0% of total-time

Operation ival-add, time spent: 7.0ms, 33.0% of total-time

Operation ival-mult, time spent: 5.0ms, 24.0% of total-time

Operation const, time spent: 1.0ms, 5.0% of total-time

bsearch82.0ms (1.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.258605435540953e+81	2.579664116145061e+90
62.0ms	-7.51469133574058e+79	-1.2918816582950498e+77

Results

27.0ms	237×	256	valid
4.0ms	34×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 222 to 183 computations (17.6% saved)

Precisions

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

Operation ival-add, time spent: 3.0ms, 39.0% of total-time

Operation ival-div, time spent: 2.0ms, 26.0% of total-time

Operation ival-mult, time spent: 2.0ms, 26.0% of total-time

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

simplify42.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

119×	`unsub-neg`
72×	`neg-mul-1`
71×	`distribute-lft-neg-in`
37×	`cancel-sign-sub`
36×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	439
1	106	439
2	129	439
3	144	439
4	165	439
5	192	439
6	216	439
7	276	439
8	397	439
9	488	439
10	515	439
11	561	439
12	606	439
13	644	439
14	682	439
15	690	439
16	700	439

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
(if (<=.f64 y #s(literal -1400000 binary64)) (+.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 1/2 binary64)) (-.f64 z (.f64 x #s(literal -1/2 binary64))) (+.f64 (*.f64 x y) z)))
(if (<=.f64 z #s(literal -800000 binary64)) (+.f64 (.f64 x y) z) (if (<=.f64 z #s(literal 4990805449417467/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))) (+.f64 (*.f64 x y) z)))
(if (<=.f64 z #s(literal -74999999999999995629303205322067040796672 binary64)) z (if (<=.f64 z #s(literal 69999999999999999525466407205313958352319590936084480 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z))
(if (<=.f64 y #s(literal -124999999999999993196903873380352 binary64)) (.f64 x y) (if (<=.f64 y #s(literal -8499176403487565/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) z (if (<=.f64 y #s(literal -2436842279489451/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 y #s(literal 2821397184715009/2015283703367863641175612582841936517787350944656835640441744648081489191271686017892521880674961806849191265080479159083871259916315786503793865121700056369432017074581165634798933096605020298206421786911816362015335190936094519572595203013485093980749277423468544 binary64)) z (if (<=.f64 y #s(literal 4592703103741259/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 y #s(literal 1249999999999999931969038733803520 binary64)) z (.f64 x y)))))))
(if (<=.f64 x #s(literal -229999999999999994754450491468355250086249908969306482356380381474731386208256 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 x #s(literal 860000000000000040189383285542645956373260418671705160784041165647571093906084360880128 binary64)) z (.f64 x #s(literal 1/2 binary64))))
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 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
(+.f64 z (*.f64 x (-.f64 y #s(literal -1/2 binary64))))
(if (<=.f64 y #s(literal -1400000 binary64)) (+.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 1/2 binary64)) (-.f64 z (.f64 x #s(literal -1/2 binary64))) (+.f64 (*.f64 x y) z)))
(if (or (<=.f64 y #s(literal -1400000 binary64)) (not (<=.f64 y #s(literal 1/2 binary64)))) (+.f64 z (.f64 x y)) (-.f64 z (.f64 x #s(literal -1/2 binary64))))
(if (<=.f64 z #s(literal -800000 binary64)) (+.f64 (.f64 x y) z) (if (<=.f64 z #s(literal 4990805449417467/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (.f64 x (+.f64 y #s(literal 1/2 binary64))) (+.f64 (*.f64 x y) z)))
(if (or (<=.f64 z #s(literal -800000 binary64)) (not (<=.f64 z #s(literal 4990805449417467/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)))) (+.f64 z (.f64 x y)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))
(if (<=.f64 z #s(literal -74999999999999995629303205322067040796672 binary64)) z (if (<=.f64 z #s(literal 69999999999999999525466407205313958352319590936084480 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z))
(if (<=.f64 y #s(literal -124999999999999993196903873380352 binary64)) (.f64 x y) (if (<=.f64 y #s(literal -8499176403487565/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) z (if (<=.f64 y #s(literal -2436842279489451/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 y #s(literal 2821397184715009/2015283703367863641175612582841936517787350944656835640441744648081489191271686017892521880674961806849191265080479159083871259916315786503793865121700056369432017074581165634798933096605020298206421786911816362015335190936094519572595203013485093980749277423468544 binary64)) z (if (<=.f64 y #s(literal 4592703103741259/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 y #s(literal 1249999999999999931969038733803520 binary64)) z (.f64 x y)))))))
(if (<=.f64 x #s(literal -229999999999999994754450491468355250086249908969306482356380381474731386208256 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 x #s(literal 860000000000000040189383285542645956373260418671705160784041165647571093906084360880128 binary64)) z (.f64 x #s(literal 1/2 binary64))))
(if (or (<=.f64 x #s(literal -229999999999999994754450491468355250086249908969306482356380381474731386208256 binary64)) (not (<=.f64 x #s(literal 860000000000000040189383285542645956373260418671705160784041165647571093906084360880128 binary64)))) (*.f64 x #s(literal 1/2 binary64)) z)
z

Compiler

Compiled 146 to 98 computations (32.9% saved)

soundness829.0ms (18.5%)

Rules

1115×	`log1p-expm1-u`
1115×	`expm1-log1p-u`
1010×	`fmm-def`
689×	`times-frac`
531×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	438	11178
1	1066	10175
2	3221	9799
0	40	435
1	99	371
2	275	371
3	801	323
4	1688	297
5	2817	292
6	3293	292
7	3479	292
8	3529	292
9	3537	292
10	3537	276
11	4075	276
12	4075	276
0	20	64
1	280	60
2	3965	60
0	301	7498
1	738	6787
2	2348	6669
3	7770	6669

Stop Event

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

Compiler

Compiled 239 to 130 computations (45.6% saved)

end0.0ms (0%)

preprocess80.0ms (1.8%)

Compiler: Compiled 274 to 162 computations (40.9% saved)

Iter	Nodes	Cost
0	70	439
1	106	439
2	129	439
3	144	439
4	165	439
5	192	439
6	216	439
7	276	439
8	397	439
9	488	439
10	515	439
11	561	439
12	606	439
13	644	439
14	682	439
15	690	439
16	700	439

Iter	Nodes	Cost
0	70	439
1	106	439
2	129	439
3	144	439
4	165	439
5	192	439
6	216	439
7	276	439
8	397	439
9	488	439
10	515	439
11	561	439
12	606	439
13	644	439
14	682	439
15	690	439
16	700	439

analyze0.0ms (0%)

sample1.2s (26.6%)

preprocess320.0ms (7.1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize85.0ms (1.9%)

series93.0ms (2.1%)

rewrite295.0ms (6.6%)

simplify218.0ms (4.9%)

eval72.0ms (1.6%)

prune39.0ms (0.9%)

localize83.0ms (1.8%)

series6.0ms (0.1%)

rewrite124.0ms (2.8%)

simplify232.0ms (5.2%)

eval81.0ms (1.8%)

prune68.0ms (1.5%)

localize51.0ms (1.1%)

eval15.0ms (0.3%)

prune15.0ms (0.3%)

regimes23.0ms (0.5%)

regimes11.0ms (0.2%)

regimes120.0ms (2.7%)

regimes13.0ms (0.3%)

regimes18.0ms (0.4%)

regimes22.0ms (0.5%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch33.0ms (0.7%)

bsearch33.0ms (0.7%)

bsearch22.0ms (0.5%)

bsearch153.0ms (3.4%)

bsearch82.0ms (1.8%)

simplify42.0ms (0.9%)

soundness829.0ms (18.5%)

end0.0ms (0%)

preprocess80.0ms (1.8%)

Profiling

Iter	Nodes	Cost
0	70	439
1	106	439
2	129	439
3	144	439
4	165	439
5	192	439
6	216	439
7	276	439
8	397	439
9	488	439
10	515	439
11	561	439
12	606	439
13	644	439
14	682	439
15	690	439
16	700	439