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

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

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

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

const: 0.0ms (0% of total)

sample994.0ms (26.9%)

Results

666.0ms	8253×	0	valid
0.0ms	2×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 401.0ms

ival-add: 250.0ms (62.3% of total)

ival-div: 74.0ms (18.4% of total)

ival-mult: 62.0ms (15.4% of total)

const: 11.0ms (2.7% of total)

backward-pass: 4.0ms (1% of total)

Bogosity

preprocess208.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 10 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

explain99.0ms (2.7%)

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`

Results

56.0ms	510×	256	valid
0.0ms	2×	512	valid

Compiler

Compiled 72 to 38 computations (47.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 12.0ms (47.2% of total)

ival-add: 8.0ms (31.4% of total)

ival-mult: 4.0ms (15.7% of total)

const: 1.0ms (3.9% of total)

eval1.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 7 computations (30% saved)

localize33.0ms (0.9%)

Localize:

Found 2 expressions with local error:

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

Results

24.0ms	255×	256	valid
0.0ms	1×	512	valid

Compiler

Compiled 23 to 14 computations (39.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sub: 4.0ms (39.3% of total)

ival-mult: 4.0ms (39.3% of total)

ival-add: 1.0ms (9.8% of total)

const: 1.0ms (9.8% of total)

series7.0ms (0.2%)

Counts

2 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite200.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`prod-diff`
772×	`log1p-expm1-u`
772×	`expm1-log1p-u`
354×	`log-prod`
296×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	154	43
2	2049	43

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

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

simplify107.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

657×	`fma-define`
534×	`distribute-lft-in`
532×	`distribute-rgt-in`
368×	`times-frac`
288×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	236	4424
1	563	4336
2	1642	4248
3	6929	4248

Stop Event

1×	node limit

Counts

139 → 128

Calls

Call 1

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

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

eval44.0ms (1.2%)

Compiler: Compiled 1626 to 1031 computations (36.6% saved)

prune22.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	124	4	128
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	124	5	129

Accuracy

100.0%

Counts

129 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
▶	76.1%	(+.f64 (*.f64 x y) z)
▶	64.0%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
▶	86.5%	(*.f64 x (+.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))
▶	40.5%	z

Compiler

Compiled 42 to 29 computations (31% saved)

localize63.0ms (1.7%)

Localize:

Found 2 expressions with local error:

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

Results

43.0ms	255×	256	valid
0.0ms	1×	512	valid

Compiler

Compiled 53 to 23 computations (56.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-add: 11.0ms (46.8% of total)

ival-mult: 9.0ms (38.3% of total)

ival-div: 3.0ms (12.8% of total)

const: 1.0ms (4.3% of total)

series8.0ms (0.2%)

Counts

2 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite121.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1142×	`log1p-expm1-u`
1142×	`expm1-log1p-u`
456×	`fma-define`
237×	`fma-neg`
164×	`log1p-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	65
1	184	65
2	2935	65

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

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

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

simplify118.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

581×	`associate-/r*`
325×	`associate-*r/`
283×	`associate-*l/`
250×	`associate-+r+`
240×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	403	8395
1	1039	7866
2	3377	7812

Stop Event

1×	node limit

Counts

211 → 210

Calls

Call 1

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

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

eval129.0ms (3.5%)

Compiler: Compiled 3572 to 1911 computations (46.5% saved)

prune32.0ms (0.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	207	3	210
Fresh	0	0	0
Picked	1	3	4
Done	1	0	1
Total	209	6	215

Accuracy

100.0%

Counts

215 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.1%	(+.f64 (*.f64 x y) z)
✓	64.0%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
▶	50.5%	(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))
▶	60.6%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
▶	38.2%	(*.f64 x y)
✓	40.5%	z

Compiler

Compiled 44 to 31 computations (29.5% saved)

localize48.0ms (1.3%)

Localize:

Found 2 expressions with local error:

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

Results

34.0ms	255×	256	valid
1.0ms	1×	8192	exit

Compiler

Compiled 38 to 18 computations (52.6% saved)

Precisions

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

ival-mult: 7.0ms (45.8% of total)

ival-add: 5.0ms (32.7% of total)

ival-div: 2.0ms (13.1% of total)

const: 1.0ms (6.5% of total)

series5.0ms (0.1%)

Counts

2 → 33

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* x (+ 1/2 (/ z x)))
0.0ms	x	@	0	(* x (+ 1/2 (/ z x)))
0.0ms	x	@	inf	(* x (+ 1/2 (/ z x)))
0.0ms	z	@	-inf	(* x (+ 1/2 (/ z x)))
0.0ms	z	@	inf	(* x (+ 1/2 (/ z x)))

rewrite112.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

697×	`log1p-expm1-u`
697×	`expm1-log1p-u`
549×	`log-prod`
445×	`prod-diff`
250×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	47
1	205	47
2	3049	47

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

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

simplify112.0ms (3%)

Algorithm

1×	egg-herbie

Rules

855×	`times-frac`
813×	`fma-neg`
745×	`fma-define`
369×	`distribute-lft-in`
338×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	298	3540
1	698	3152
2	1997	3126
3	7415	3120

Stop Event

1×	node limit

Counts

141 → 148

Calls

Call 1

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

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

eval39.0ms (1%)

Compiler: Compiled 1848 to 989 computations (46.5% saved)

prune80.0ms (2.2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	147	7	154

Accuracy

100.0%

Counts

154 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.1%	(+.f64 (*.f64 x y) z)
✓	64.0%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
✓	50.5%	(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))
✓	60.6%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
✓	38.2%	(*.f64 x y)
▶	24.9%	(*.f64 #s(literal 1/2 binary64) x)
✓	40.5%	z

Compiler

Compiled 50 to 36 computations (28% saved)

localize16.0ms (0.4%)

Results

12.0ms

256×

256

valid

Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions

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

ival-mult: 2.0ms (76.5% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune4.0ms (0.1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	6	6
Total	7	7

Accuracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.1%	(+.f64 (*.f64 x y) z)
✓	64.0%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
✓	50.5%	(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))
✓	60.6%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
✓	38.2%	(*.f64 x y)
✓	24.9%	(*.f64 #s(literal 1/2 binary64) x)
✓	40.5%	z

Compiler

Compiled 107 to 66 computations (38.3% saved)

regimes64.0ms (1.7%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

46.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
7.0ms	x
3.0ms	z
3.0ms	y
3.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))

Results

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes26.0ms (0.7%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	x
8.0ms	z
8.0ms	y

Results

Accuracy	Segments	Branch
87.5%	3	`x`
99.2%	3	`y`
88.5%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes21.0ms (0.6%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	z
8.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
80.9%	3	`x`
79.4%	3	`z`
84.8%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes22.0ms (0.6%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	y
6.0ms	z
5.0ms	x

Results

Accuracy	Segments	Branch
76.8%	3	`z`
79.8%	5	`x`
73.8%	9	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes19.0ms (0.5%)

Counts

3 → 9

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	y
6.0ms	z
6.0ms	x

Results

Accuracy	Segments	Branch
72.7%	9	`y`
60.2%	4	`x`
60.9%	5	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.3%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
4.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
52.9%	3	`z`
51.6%	3	`x`
51.8%	7	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

3 calls:

0.0ms	z
0.0ms	x
0.0ms	y

Results

Accuracy	Segments	Branch
40.5%	1	`y`
40.5%	1	`x`
40.5%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch30.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.767522461693296e-8	66409845903.76157
14.0ms	-34961.19534136823	-0.31598358491896517

Results

17.0ms

304×

valid

Compiler

Compiled 360 to 260 computations (27.8% saved)

Precisions

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

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

ival-div: 2.0ms (25.1% of total)

ival-mult: 2.0ms (25.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch86.0ms (2.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.6787535684771078e+78	2.4074615475923225e+83
68.0ms	-4.8236342501496655e+30	-1.5771455004249762e+29

Results

73.0ms

256×

valid

Compiler

Compiled 274 to 205 computations (25.2% saved)

Precisions

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

ival-add: 3.0ms (44.2% of total)

ival-div: 2.0ms (29.5% of total)

ival-mult: 2.0ms (29.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch23.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.8867011257513586e+155	2.0476176353556062e+157
9.0ms	-1.9158944413089647e+26	-3.3373255879985366e+25

Results

12.0ms

208×

valid

Compiler

Compiled 200 to 156 computations (22% saved)

Precisions

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

ival-div: 2.0ms (36.2% of total)

ival-add: 2.0ms (36.2% of total)

ival-mult: 2.0ms (36.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch128.0ms (3.5%)

Algorithm

8×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	1.6787535684771078e+78	2.4074615475923225e+83
6.0ms	1.8951709502563447e+28	3.4568815030111476e+28
4.0ms	1.1536300288831223e-144	1.456700338339315e-144
13.0ms	2.6372400647865518e-191	2.3043651573010407e-187
16.0ms	-3.5243273174727936e-305	-1.9490898737608217e-306
9.0ms	-3.919409751150507e-222	-7.607204888715535e-223
51.0ms	-5.72445220142169e-161	-4.412025814578867e-165
10.0ms	-4.8236342501496655e+30	-1.5771455004249762e+29

Results

51.0ms	830×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 642 to 517 computations (19.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-add: 8.0ms (32.2% of total)

ival-mult: 8.0ms (32.2% of total)

ival-div: 7.0ms (28.1% of total)

const: 1.0ms (4% of total)

backward-pass: 0.0ms (0% of total)

bsearch98.0ms (2.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.157113113024574e-103	1.8247696731970908e-103
90.0ms	-5.4193141651273764e-20	-2.5964537076057104e-20

Results

91.0ms

144×

valid

Compiler

Compiled 126 to 103 computations (18.3% saved)

Precisions

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

ival-add: 84.0ms (96.6% of total)

ival-div: 1.0ms (1.2% of total)

ival-mult: 1.0ms (1.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	428
1	96	428
2	101	428
3	103	428
4	104	428

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(if (<=.f64 y #s(literal -1/2 binary64)) (+.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 1/2 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (+.f64 (*.f64 x y) z)))
(if (<=.f64 y #s(literal -164999999999999992021964029952 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 39999999999999998536271862523546296844108572901094271174721455373708346006171549696 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (*.f64 x y)))
(if (<=.f64 z #s(literal -145999999999999992181817344 binary64)) z (if (<=.f64 z #s(literal 300000000000000014061395121132273785984305712004547226270198369939771084693400443760393917403640143767473896334192544556313398599753466940889114044253863936 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z))
(if (<=.f64 y #s(literal -1299999999999999941407519277056 binary64)) (.f64 x y) (if (<=.f64 y #s(literal -1069796982602131/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) z (if (<=.f64 y #s(literal -7683844756638895/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224 binary64)) (.f64 #s(literal 1/2 binary64) x) (if (<=.f64 y #s(literal -3399725348521233/1581267603963364205878869896241541461324661326282360299663291859589299527874963647593440497667477535118649045814975093057732880760826511538023542187037019608761854877160674698159897716735103252665935684988068320848140683464255411707953932466009059033912578566502802887127604801681488301032705683661296923932091466727292928 binary64)) z (if (<=.f64 y #s(literal 8668436849475469/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264 binary64)) (.f64 #s(literal 1/2 binary64) x) (if (<=.f64 y #s(literal 5096425782880965/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) z (if (<=.f64 y #s(literal 18999999999999999427829825536 binary64)) (.f64 #s(literal 1/2 binary64) x) (if (<=.f64 y #s(literal 3600000000000000053614100963779815304305500284358445286980298888600186948142759936 binary64)) z (*.f64 x y)))))))))
(if (<=.f64 z #s(literal -4486144485774091/166153499473114484112975882535043072 binary64)) z (if (<=.f64 z #s(literal 3631288891059715/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 binary64)) (*.f64 #s(literal 1/2 binary64) x) z))
z

Outputs
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(if (<=.f64 y #s(literal -1/2 binary64)) (+.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 1/2 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (+.f64 (*.f64 x y) z)))
(if (or (<=.f64 y #s(literal -1/2 binary64)) (not (<=.f64 y #s(literal 1/2 binary64)))) (+.f64 z (.f64 x y)) (+.f64 z (.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal -164999999999999992021964029952 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 39999999999999998536271862523546296844108572901094271174721455373708346006171549696 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (*.f64 x y)))
(if (or (<=.f64 y #s(literal -164999999999999992021964029952 binary64)) (not (<=.f64 y #s(literal 39999999999999998536271862523546296844108572901094271174721455373708346006171549696 binary64)))) (.f64 x y) (+.f64 z (.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 z #s(literal -145999999999999992181817344 binary64)) z (if (<=.f64 z #s(literal 300000000000000014061395121132273785984305712004547226270198369939771084693400443760393917403640143767473896334192544556313398599753466940889114044253863936 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z))
(if (<=.f64 z #s(literal -145999999999999992181817344 binary64)) z (if (<=.f64 z #s(literal 300000000000000014061395121132273785984305712004547226270198369939771084693400443760393917403640143767473896334192544556313398599753466940889114044253863936 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z))
(if (<=.f64 y #s(literal -1299999999999999941407519277056 binary64)) (.f64 x y) (if (<=.f64 y #s(literal -1069796982602131/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) z (if (<=.f64 y #s(literal -7683844756638895/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224 binary64)) (.f64 #s(literal 1/2 binary64) x) (if (<=.f64 y #s(literal -3399725348521233/1581267603963364205878869896241541461324661326282360299663291859589299527874963647593440497667477535118649045814975093057732880760826511538023542187037019608761854877160674698159897716735103252665935684988068320848140683464255411707953932466009059033912578566502802887127604801681488301032705683661296923932091466727292928 binary64)) z (if (<=.f64 y #s(literal 8668436849475469/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264 binary64)) (.f64 #s(literal 1/2 binary64) x) (if (<=.f64 y #s(literal 5096425782880965/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) z (if (<=.f64 y #s(literal 18999999999999999427829825536 binary64)) (.f64 #s(literal 1/2 binary64) x) (if (<=.f64 y #s(literal 3600000000000000053614100963779815304305500284358445286980298888600186948142759936 binary64)) z (*.f64 x y)))))))))
(if (<=.f64 y #s(literal -1299999999999999941407519277056 binary64)) (.f64 x y) (if (<=.f64 y #s(literal -1069796982602131/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) z (if (<=.f64 y #s(literal -7683844756638895/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 y #s(literal -3399725348521233/1581267603963364205878869896241541461324661326282360299663291859589299527874963647593440497667477535118649045814975093057732880760826511538023542187037019608761854877160674698159897716735103252665935684988068320848140683464255411707953932466009059033912578566502802887127604801681488301032705683661296923932091466727292928 binary64)) z (if (<=.f64 y #s(literal 8668436849475469/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 y #s(literal 5096425782880965/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) z (if (<=.f64 y #s(literal 18999999999999999427829825536 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 y #s(literal 3600000000000000053614100963779815304305500284358445286980298888600186948142759936 binary64)) z (*.f64 x y)))))))))
(if (<=.f64 z #s(literal -4486144485774091/166153499473114484112975882535043072 binary64)) z (if (<=.f64 z #s(literal 3631288891059715/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 binary64)) (*.f64 #s(literal 1/2 binary64) x) z))
(if (<=.f64 z #s(literal -4486144485774091/166153499473114484112975882535043072 binary64)) z (if (<=.f64 z #s(literal 3631288891059715/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 binary64)) (*.f64 x #s(literal 1/2 binary64)) z))
z

soundness408.0ms (11%)

Rules

1010×	`fma-neg`
657×	`fma-define`
534×	`distribute-lft-in`
532×	`distribute-rgt-in`
531×	`fma-define`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	236	4424
1	563	4336
2	1642	4248
3	6929	4248
0	40	435
1	99	371
2	275	371
3	801	323
4	1690	297
5	2822	292
6	3298	292
7	3484	292
8	3535	292
9	3543	292
10	3543	276
11	4081	276
12	4081	276

Stop Event

1×	done
1×	saturated
1×	node limit

Compiler

Compiled 300 to 170 computations (43.3% saved)

preprocess142.0ms (3.8%)

Compiler: Compiled 276 to 168 computations (39.1% saved)

analyze0.0ms (0%)

sample994.0ms (26.9%)

preprocess208.0ms (5.6%)

explain99.0ms (2.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize33.0ms (0.9%)

series7.0ms (0.2%)

rewrite200.0ms (5.4%)

simplify107.0ms (2.9%)

eval44.0ms (1.2%)

prune22.0ms (0.6%)

localize63.0ms (1.7%)

series8.0ms (0.2%)

rewrite121.0ms (3.3%)

simplify118.0ms (3.2%)

eval129.0ms (3.5%)

prune32.0ms (0.9%)

localize48.0ms (1.3%)

series5.0ms (0.1%)

rewrite112.0ms (3%)

simplify112.0ms (3%)

eval39.0ms (1%)

prune80.0ms (2.2%)

localize16.0ms (0.4%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes64.0ms (1.7%)

regimes26.0ms (0.7%)

regimes21.0ms (0.6%)

regimes22.0ms (0.6%)

regimes19.0ms (0.5%)

regimes12.0ms (0.3%)

regimes2.0ms (0%)

bsearch30.0ms (0.8%)

bsearch86.0ms (2.3%)

bsearch23.0ms (0.6%)

bsearch128.0ms (3.5%)

bsearch98.0ms (2.6%)

simplify12.0ms (0.3%)

soundness408.0ms (11%)

preprocess142.0ms (3.8%)

end0.0ms (0%)

Profiling