Metrics for Main:bigenough2 from A

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 11 to 7 computations (36.4% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

sample804.0ms (24.6%)

Results

575.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 271.0ms

ival-mult: 146.0ms (53.9% of total)

ival-add: 115.0ms (42.4% of total)

const: 7.0ms (2.6% of total)

backward-pass: 3.0ms (1.1% of total)

Bogosity

preprocess173.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

994×	`fma-neg`
513×	`fma-define`
210×	`distribute-rgt-in`
181×	`unsub-neg`
147×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	369
1	106	313
2	363	313
3	949	313
4	2595	313
5	3322	313
6	3432	313
7	3432	313
8	4189	313
9	4189	313

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(+.f64 (neg.f64 x) (*.f64 y (+.f64 z (neg.f64 x))))
(+.f64 (neg.f64 x) (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) (neg.f64 x))
(-.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 x (*.f64 (neg.f64 y) (+.f64 z x)))
(+.f64 x (*.f64 (+.f64 x z) (neg.f64 y)))
(-.f64 x (*.f64 y (+.f64 x z)))
(+.f64 x (*.f64 y (+.f64 (neg.f64 z) x)))
(+.f64 x (*.f64 y (+.f64 x (neg.f64 z))))
(fma.f64 y (-.f64 x z) x)
(neg.f64 (+.f64 (neg.f64 x) (*.f64 y (+.f64 z (neg.f64 x)))))
(+.f64 x (*.f64 y (+.f64 x (neg.f64 z))))
(fma.f64 y (-.f64 x z) x)
(neg.f64 (+.f64 x (*.f64 (neg.f64 y) (+.f64 z x))))
(neg.f64 (+.f64 x (*.f64 (+.f64 x z) (neg.f64 y))))
(-.f64 (*.f64 y (+.f64 x z)) x)
(fma.f64 y (+.f64 x z) (neg.f64 x))
(neg.f64 (+.f64 x (*.f64 y (+.f64 (neg.f64 z) x))))
(+.f64 (neg.f64 x) (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) (neg.f64 x))
(-.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 y (*.f64 x (+.f64 z y)))
(+.f64 y (*.f64 x (+.f64 y z)))
(fma.f64 x (+.f64 y z) y)
(+.f64 z (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) z)
(+.f64 x (*.f64 z (+.f64 y x)))
(+.f64 x (*.f64 z (+.f64 x y)))
(fma.f64 z (+.f64 x y) x)

explain61.0ms (1.9%)

FPErrors

Click to see full error table

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

Results

30.0ms

512×

valid

Compiler

Compiled 54 to 20 computations (63% saved)

Precisions

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

ival-add: 6.0ms (57.2% of total)

ival-mult: 4.0ms (38.1% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 16 to 7 computations (56.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

localize34.0ms (1%)

Localize:

Found 3 expressions with local error:

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

Results

25.0ms

256×

valid

Compiler

Compiled 34 to 9 computations (73.5% saved)

Precisions

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

ival-add: 4.0ms (37.9% of total)

ival-mult: 3.0ms (28.4% of total)

ival-fma: 3.0ms (28.4% of total)

const: 0.0ms (0% of total)

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

series12.0ms (0.4%)

Counts

3 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite221.0ms (6.8%)

Algorithm

1×	batch-egg-rewrite

Rules

977×	`log1p-expm1-u`
977×	`expm1-log1p-u`
527×	`fma-define`
407×	`log-prod`
227×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	76
1	203	76
2	2733	76

Stop Event

1×	node limit

Counts

3 → 173

Calls

Call 1

Inputs
(*.f64 y (+.f64 z x))
(+.f64 x (*.f64 y (+.f64 z x)))
(fma.f64 y (+.f64 x z) x)

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

simplify199.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

668×	`times-frac`
344×	`associate-/l*`
337×	`*-commutative`
276×	`cancel-sign-sub-inv`
267×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	10543
1	873	9610
2	2585	9497
3	7261	9497

Stop Event

1×	node limit

Counts

281 → 187

Calls

Call 1

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

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

eval27.0ms (0.8%)

Compiler: Compiled 2509 to 815 computations (67.5% saved)

prune31.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	181	6	187
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	182	7	189

Accuracy

100.0%

Counts

189 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(+.f64 x (fma.f64 z y (*.f64 y x)))
✓	100.0%	(+.f64 x (*.f64 y (+.f64 z x)))
▶	79.4%	(+.f64 x (*.f64 y z))
▶	61.9%	(+.f64 x (*.f64 y x))
	88.6%	(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
▶	61.9%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
▶	38.8%	x

Compiler

Compiled 112 to 70 computations (37.5% saved)

localize56.0ms (1.7%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 x (*.f64 y z))
✓	100.0%	(+.f64 x (*.f64 y x))
✓	100.0%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	100.0%	(+.f64 x (fma.f64 z y (*.f64 y x)))
✓	98.0%	(fma.f64 z y (*.f64 y x))

Results

40.0ms

256×

valid

Compiler

Compiled 57 to 16 computations (71.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-add: 6.0ms (38.4% of total)

ival-mult: 6.0ms (38.4% of total)

ival-fma: 3.0ms (19.2% of total)

const: 1.0ms (6.4% of total)

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

series17.0ms (0.5%)

Counts

5 → 147

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite207.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`log1p-expm1-u`
878×	`expm1-log1p-u`
796×	`fma-define`
387×	`fma-neg`
120×	`add-cube-cbrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	123
1	277	107
2	3795	103

Stop Event

1×	node limit

Counts

5 → 257

Calls

Call 1

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

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

simplify208.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

702×	`distribute-lft-in`
642×	`distribute-rgt-in`
472×	`cancel-sign-sub-inv`
353×	`distribute-lft-neg-in`
312×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	481	12341
1	1172	12049
2	3354	11950

Stop Event

1×	node limit

Counts

404 → 284

Calls

Call 1

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

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

eval46.0ms (1.4%)

Compiler: Compiled 3488 to 1329 computations (61.9% saved)

prune45.0ms (1.4%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	283	1	284
Fresh	1	0	1
Picked	0	5	5
Done	0	1	1
Total	284	7	291

Accuracy

100.0%

Counts

291 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.0%	(+.f64 x (fma.f64 z y (*.f64 y x)))
✓	100.0%	(+.f64 x (*.f64 y (+.f64 z x)))
✓	79.4%	(+.f64 x (*.f64 y z))
✓	61.9%	(+.f64 x (*.f64 y x))
▶	74.9%	(*.f64 z (+.f64 y (/.f64 x z)))
✓	61.9%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	38.8%	x

Compiler

Compiled 59 to 37 computations (37.3% saved)

localize24.0ms (0.7%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 y (/.f64 x z))
✓	89.3%	(*.f64 z (+.f64 y (/.f64 x z)))

Results

18.0ms

256×

valid

Compiler

Compiled 22 to 7 computations (68.2% saved)

Precisions

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

ival-mult: 3.0ms (44.3% of total)

ival-div: 2.0ms (29.6% of total)

ival-add: 1.0ms (14.8% of total)

const: 0.0ms (0% of total)

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

series83.0ms (2.5%)

Counts

2 → 57

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
77.0ms	y	@	-inf	(* z (+ y (/ x z)))
1.0ms	z	@	-inf	(* z (+ y (/ x z)))
1.0ms	x	@	inf	(* z (+ y (/ x z)))
0.0ms	x	@	0	(* z (+ y (/ x z)))
0.0ms	z	@	inf	(* z (+ y (/ x z)))

rewrite98.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

983×	`prod-diff`
827×	`log1p-expm1-u`
827×	`expm1-log1p-u`
252×	`fma-define`
132×	`expm1-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	53
1	148	53
2	2235	53

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

Inputs
(*.f64 z (+.f64 y (/.f64 x z)))
(+.f64 y (/.f64 x z))

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

simplify143.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

596×	`associate-/l*`
528×	`fma-define`
362×	`associate-/r*`
345×	`*-commutative`
300×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	315	5375
1	771	4832
2	2234	4573
3	7918	4573

Stop Event

1×	node limit

Counts

174 → 154

Calls

Call 1

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

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

eval66.0ms (2%)

Compiler: Compiled 2040 to 710 computations (65.2% saved)

prune32.0ms (1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	153	8	161

Accuracy

100.0%

Counts

161 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.0%	(+.f64 x (fma.f64 z y (*.f64 y x)))
✓	100.0%	(+.f64 x (*.f64 y (+.f64 z x)))
✓	79.4%	(+.f64 x (*.f64 y z))
✓	61.9%	(+.f64 x (*.f64 y x))
✓	74.9%	(*.f64 z (+.f64 y (/.f64 x z)))
▶	42.8%	(*.f64 z y)
✓	61.9%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	38.8%	x

Compiler

Compiled 65 to 41 computations (36.9% saved)

localize15.0ms (0.5%)

Results

11.0ms

256×

valid

Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions

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

ival-mult: 2.0ms (77.7% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	7	7
Total	8	8

Accuracy

100.0%

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.0%	(+.f64 x (fma.f64 z y (*.f64 y x)))
✓	100.0%	(+.f64 x (*.f64 y (+.f64 z x)))
✓	79.4%	(+.f64 x (*.f64 y z))
✓	61.9%	(+.f64 x (*.f64 y x))
✓	74.9%	(*.f64 z (+.f64 y (/.f64 x z)))
✓	42.8%	(*.f64 z y)
✓	61.9%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	38.8%	x

Compiler

Compiled 124 to 66 computations (46.8% saved)

regimes16.0ms (0.5%)

Counts

10 → 1

Calls

Call 1

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

Outputs
(fma.f64 y (+.f64 x z) x)

Calls

4 calls:

5.0ms	z
3.0ms	y
3.0ms	x
3.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

Results

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes13.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
3.0ms	z
3.0ms	x
3.0ms	y

Results

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes18.0ms (0.5%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
6.0ms	z
4.0ms	y

Results

Accuracy	Segments	Branch
90.3%	5	`x`
81.2%	2	`y`
88.9%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes83.0ms (2.5%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

72.0ms	z
6.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
69.9%	4	`y`
77.5%	5	`x`
77.9%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.3%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 z y)

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

Calls

3 calls:

4.0ms	x
3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
67.2%	3	`y`
56.4%	3	`x`
61.4%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

0.0ms	y
0.0ms	x
0.0ms	z

Results

Accuracy	Segments	Branch
38.8%	1	`x`
38.8%	1	`z`
38.8%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch16.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.8104047119112112e-121	8.72101335107002e-120
6.0ms	-2.034993372290744e-73	-1.2550243132540354e-73

Results

9.0ms

176×

valid

Compiler

Compiled 214 to 154 computations (28% saved)

Precisions

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

ival-add: 2.0ms (56.9% of total)

ival-mult: 1.0ms (28.5% of total)

const: 0.0ms (0% of total)

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

bsearch27.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.1657189376791883e+134	2.9656854789181825e+136
16.0ms	-1.1287235748291231e+77	-3.8435895170378033e+71

Results

14.0ms

256×

valid

Compiler

Compiled 272 to 203 computations (25.4% saved)

Precisions

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

ival-add: 4.0ms (59.4% of total)

ival-mult: 2.0ms (29.7% of total)

const: 0.0ms (0% of total)

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

bsearch19.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.5315369303129573e-26	3.014512647189919e-25
9.0ms	-1.5942699477013466e-33	-1.2372897079362903e-35

Results

10.0ms

208×

valid

Compiler

Compiled 172 to 128 computations (25.6% saved)

Precisions

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

ival-add: 2.0ms (48.7% of total)

ival-mult: 2.0ms (48.7% of total)

const: 0.0ms (0% of total)

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`if-if-or-not`
4×	`+-commutative`
3×	`1-exp`
3×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	245
1	67	245

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 y (+.f64 z x)))
(if (<=.f64 z #s(literal -6206593990394137/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (+.f64 x (.f64 y z)) (if (<=.f64 z #s(literal 8140593712110797/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (+.f64 x (*.f64 y z))))
(if (<=.f64 z #s(literal -11999999999999999921946396247269524853086684752974915908253253928760765317120 binary64)) (.f64 z y) (if (<=.f64 z #s(literal 120000000000000002682140683137223192021180911611685114725746037146803178322908123151714442142117207140121830850051499444435022539390976 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 z y)))
(if (<=.f64 y #s(literal -4530655075725799/2923003274661805836407369665432566039311865085952 binary64)) (.f64 z y) (if (<=.f64 y #s(literal 3266710722441009/21778071482940061661655974875633165533184 binary64)) x (.f64 z y)))
x

Outputs
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 x z)))
(if (<=.f64 z #s(literal -6206593990394137/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (+.f64 x (.f64 y z)) (if (<=.f64 z #s(literal 8140593712110797/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (+.f64 x (*.f64 y z))))
(if (or (<=.f64 z #s(literal -6206593990394137/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (not (<=.f64 z #s(literal 8140593712110797/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312 binary64)))) (+.f64 x (.f64 y z)) (.f64 x (+.f64 y #s(literal 1 binary64))))
(if (<=.f64 z #s(literal -11999999999999999921946396247269524853086684752974915908253253928760765317120 binary64)) (.f64 z y) (if (<=.f64 z #s(literal 120000000000000002682140683137223192021180911611685114725746037146803178322908123151714442142117207140121830850051499444435022539390976 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 z y)))
(if (or (<=.f64 z #s(literal -11999999999999999921946396247269524853086684752974915908253253928760765317120 binary64)) (not (<=.f64 z #s(literal 120000000000000002682140683137223192021180911611685114725746037146803178322908123151714442142117207140121830850051499444435022539390976 binary64)))) (.f64 y z) (.f64 x (+.f64 y #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -4530655075725799/2923003274661805836407369665432566039311865085952 binary64)) (.f64 z y) (if (<=.f64 y #s(literal 3266710722441009/21778071482940061661655974875633165533184 binary64)) x (.f64 z y)))
(if (or (<=.f64 y #s(literal -4530655075725799/2923003274661805836407369665432566039311865085952 binary64)) (not (<=.f64 y #s(literal 3266710722441009/21778071482940061661655974875633165533184 binary64)))) (*.f64 y z) x)
x

soundness413.0ms (12.6%)

Rules

994×	`fma-neg`
668×	`times-frac`
513×	`fma-define`
344×	`associate-/l*`
337×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	369
1	106	313
2	363	313
3	949	313
4	2595	313
5	3322	313
6	3432	313
7	3432	313
8	4189	313
9	4189	313
0	356	10543
1	873	9610
2	2585	9497
3	7261	9497

Stop Event

1×	done
1×	node limit
1×	saturated

Compiler

Compiled 108 to 55 computations (49.1% saved)

preprocess38.0ms (1.2%)

Compiler: Compiled 152 to 84 computations (44.7% saved)

analyze0.0ms (0%)

sample804.0ms (24.6%)

preprocess173.0ms (5.3%)

explain61.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize34.0ms (1%)

series12.0ms (0.4%)

rewrite221.0ms (6.8%)

simplify199.0ms (6.1%)

eval27.0ms (0.8%)

prune31.0ms (1%)

localize56.0ms (1.7%)

series17.0ms (0.5%)

rewrite207.0ms (6.3%)

simplify208.0ms (6.4%)

eval46.0ms (1.4%)

prune45.0ms (1.4%)

localize24.0ms (0.7%)

series83.0ms (2.5%)

rewrite98.0ms (3%)

simplify143.0ms (4.4%)

eval66.0ms (2%)

prune32.0ms (1%)

localize15.0ms (0.5%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes16.0ms (0.5%)

regimes13.0ms (0.4%)

regimes18.0ms (0.5%)

regimes83.0ms (2.5%)

regimes10.0ms (0.3%)

regimes2.0ms (0.1%)

bsearch16.0ms (0.5%)

bsearch27.0ms (0.8%)

bsearch19.0ms (0.6%)

simplify4.0ms (0.1%)

soundness413.0ms (12.6%)

preprocess38.0ms (1.2%)

end0.0ms (0%)

Profiling