Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, G

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 8 computations (27.3% 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)

sample1.0s (35.5%)

Results

506.0ms	8255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

ival-add: 113.0ms (59.8% of total)

ival-mult: 63.0ms (33.3% of total)

const: 11.0ms (5.8% of total)

backward-pass: 2.0ms (1.1% of total)

Bogosity

preprocess245.0ms (8.3%)

Algorithm

1×	egg-herbie

Rules

2564×	`fma-neg`
818×	`unsub-neg`
747×	`fma-define`
332×	`distribute-lft-in`
320×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	328
1	120	312
2	449	308
3	1443	308
4	3917	308
5	5374	308
6	6275	308
7	6394	308
8	6404	308
9	6409	308
10	6484	308
11	6520	308
12	6520	308

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(sort x y)

explain61.0ms (2.1%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`z`
-	-	`(+.f64 x y)`
-	-	`#s(literal 1 binary64)`
-	-	`y`
-	-	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
-	-	`(+.f64 z #s(literal 1 binary64))`

Results

38.0ms

512×

valid

Compiler

Compiled 52 to 29 computations (44.2% saved)

Precisions

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

ival-add: 10.0ms (66.8% of total)

ival-mult: 4.0ms (26.7% of total)

const: 1.0ms (6.7% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 7 computations (30% saved)

localize130.0ms (4.4%)

Localize:

Found 1 expressions with local error:

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

Results

30.0ms

256×

valid

Compiler

Compiled 21 to 11 computations (47.6% saved)

Precisions

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

ival-add: 4.0ms (61.3% of total)

ival-mult: 2.0ms (30.7% of total)

const: 1.0ms (15.3% of total)

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

series5.0ms (0.2%)

Counts

1 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite246.0ms (8.4%)

Algorithm

1×	batch-egg-rewrite

Rules

815×	`log1p-expm1-u`
815×	`expm1-log1p-u`
676×	`prod-diff`
360×	`log-prod`
321×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	157	28
2	2220	28

Stop Event

1×	node limit

Counts

1 → 77

Calls

Call 1

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

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

simplify119.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

336×	`distribute-lft-neg-in`
303×	`*-commutative`
282×	`associate-+r+`
279×	`distribute-rgt-neg-in`
269×	`distribute-lft-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	244	4108
1	707	4084
2	2349	4058
3	5215	3830

Stop Event

1×	node limit

Counts

113 → 113

Calls

Call 1

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

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

eval135.0ms (4.6%)

Compiler: Compiled 1757 to 837 computations (52.4% saved)

prune20.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	108	5	113
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	108	6	114

Accuracy

100.0%

Counts

114 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
▶	50.9%	(+.f64 y x)
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
▶	51.5%	(*.f64 z (+.f64 y x))
▶	45.9%	(*.f64 y (+.f64 #s(literal 1 binary64) z))
▶	57.7%	(*.f64 x (+.f64 #s(literal 1 binary64) z))

Compiler

Compiled 94 to 61 computations (35.1% saved)

localize68.0ms (2.3%)

Localize:

Found 2 expressions with local error:

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

Results

48.0ms

256×

valid

Compiler

Compiled 62 to 21 computations (66.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-add: 11.0ms (57.4% of total)

ival-mult: 7.0ms (36.5% of total)

const: 1.0ms (5.2% of total)

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

series70.0ms (2.4%)

Counts

2 → 72

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
64.0ms	y	@	-inf	(* z (+ y x))
1.0ms	z	@	inf	(* (+ x y) z)
0.0ms	y	@	-inf	(* (+ x y) z)
0.0ms	z	@	0	(* (+ x y) z)
0.0ms	x	@	-inf	(* (+ x y) z)

rewrite98.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

919×	`prod-diff`
743×	`log1p-expm1-u`
743×	`expm1-log1p-u`
326×	`log-prod`
297×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	171	44
2	2117	44

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

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

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

simplify108.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

576×	`fma-neg`
549×	`fma-define`
392×	`distribute-lft-neg-in`
375×	`distribute-rgt-neg-in`
368×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	188	5070
1	453	5040
2	1295	5030
3	4367	5004

Stop Event

1×	node limit

Counts

198 → 83

Calls

Call 1

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

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

eval13.0ms (0.4%)

Compiler: Compiled 1355 to 449 computations (66.9% saved)

prune16.0ms (0.5%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	83	6	89

Accuracy

100.0%

Counts

89 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
✓	50.9%	(+.f64 y x)
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
✓	51.5%	(*.f64 z (+.f64 y x))
✓	45.9%	(*.f64 y (+.f64 #s(literal 1 binary64) z))
✓	57.7%	(*.f64 x (+.f64 #s(literal 1 binary64) z))

Compiler

Compiled 89 to 51 computations (42.7% saved)

regimes15.0ms (0.5%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

6 calls:

3.0ms	x
3.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
3.0ms	(+.f64 x y)
2.0ms	z
2.0ms	y

Results

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

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes13.0ms (0.5%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

6 calls:

3.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(+.f64 x y)
2.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Results

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

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes24.0ms (0.8%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	z
5.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
80.4%	2	`x`
88.3%	4	`y`
98.9%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.4%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
86.4%	2	`y`
83.2%	6	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes11.0ms (0.4%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
3.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
78.8%	3	`z`
68.5%	2	`x`
72.3%	2	`y`

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
(+.f64 y x)

Outputs
(+.f64 y x)

Calls

3 calls:

0.0ms	x
0.0ms	z
0.0ms	y

Results

Accuracy	Segments	Branch
50.9%	1	`x`
50.9%	1	`y`
50.9%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch93.0ms (3.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.2239940814852056e-16	48.77953442203025
77.0ms	-3.4857844992727673	-3.481791620073227e-25

Results

80.0ms

336×

valid

Compiler

Compiled 352 to 243 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 65.0ms (94% of total)

ival-add: 4.0ms (5.8% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.295019810915786e-69	7.097210873032229e-64

Results

9.0ms

144×

valid

Compiler

Compiled 178 to 138 computations (22.5% saved)

Precisions

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

ival-add: 2.0ms (71.4% of total)

ival-mult: 1.0ms (35.7% of total)

const: 0.0ms (0% of total)

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

bsearch46.0ms (1.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	5.959059258613998e-26	3.4224331357822142e-18
25.0ms	-3.4857844992727673	-3.481791620073227e-25

Results

30.0ms

320×

valid

Compiler

Compiled 336 to 252 computations (25% saved)

Precisions

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

ival-add: 3.0ms (48.5% of total)

ival-mult: 2.0ms (32.3% of total)

const: 0.0ms (0% of total)

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	260
1	60	260

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 z (+.f64 y x)) (if (<=.f64 z #s(literal 1 binary64)) (+.f64 y x) (.f64 z (+.f64 y x))))
(if (<=.f64 y #s(literal 2593742798915883/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (.f64 y (+.f64 #s(literal 1 binary64) z)))
(if (<=.f64 z #s(literal -7011769753764849/4835703278458516698824704 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (if (<=.f64 z #s(literal 8826904659509207/2596148429267413814265248164610048 binary64)) (+.f64 y x) (.f64 x (+.f64 #s(literal 1 binary64) z))))
(+.f64 y x)

Outputs
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
(+.f64 (+.f64 x y) (*.f64 z (+.f64 x y)))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 z (+.f64 y x)) (if (<=.f64 z #s(literal 1 binary64)) (+.f64 y x) (.f64 z (+.f64 y x))))
(if (or (<=.f64 z #s(literal -1 binary64)) (not (<=.f64 z #s(literal 1 binary64)))) (*.f64 z (+.f64 x y)) (+.f64 x y))
(if (<=.f64 y #s(literal 2593742798915883/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (.f64 y (+.f64 #s(literal 1 binary64) z)))
(if (<=.f64 y #s(literal 2593742798915883/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) (.f64 x (+.f64 z #s(literal 1 binary64))) (.f64 y (+.f64 z #s(literal 1 binary64))))
(if (<=.f64 z #s(literal -7011769753764849/4835703278458516698824704 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (if (<=.f64 z #s(literal 8826904659509207/2596148429267413814265248164610048 binary64)) (+.f64 y x) (.f64 x (+.f64 #s(literal 1 binary64) z))))
(if (or (<=.f64 z #s(literal -7011769753764849/4835703278458516698824704 binary64)) (not (<=.f64 z #s(literal 8826904659509207/2596148429267413814265248164610048 binary64)))) (*.f64 x (+.f64 z #s(literal 1 binary64))) (+.f64 x y))
(+.f64 y x)
(+.f64 x y)

soundness271.0ms (9.2%)

Rules

815×	`log1p-expm1-u`
815×	`expm1-log1p-u`
676×	`prod-diff`
360×	`log-prod`
336×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	244	4108
1	707	4084
2	2349	4058
3	5215	3830
0	13	28
1	157	28
2	2220	28

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 129 to 62 computations (51.9% saved)

preprocess57.0ms (1.9%)

Remove: (sort x y)
Compiler: Compiled 256 to 132 computations (48.4% saved)

Optimisation.CirclePacking:place from circle-packing-0.1.0.4, G

analyze0.0ms (0%)

sample1.0s (35.5%)

preprocess245.0ms (8.3%)

explain61.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize130.0ms (4.4%)

series5.0ms (0.2%)

rewrite246.0ms (8.4%)

simplify119.0ms (4.1%)

eval135.0ms (4.6%)

prune20.0ms (0.7%)

localize68.0ms (2.3%)

series70.0ms (2.4%)

rewrite98.0ms (3.3%)

simplify108.0ms (3.7%)

eval13.0ms (0.4%)

prune16.0ms (0.5%)

regimes15.0ms (0.5%)

regimes13.0ms (0.5%)

regimes24.0ms (0.8%)

regimes11.0ms (0.4%)

regimes11.0ms (0.4%)

regimes2.0ms (0.1%)

bsearch93.0ms (3.2%)

bsearch15.0ms (0.5%)

bsearch46.0ms (1.6%)

simplify4.0ms (0.1%)

soundness271.0ms (9.2%)

preprocess57.0ms (1.9%)

end0.0ms (0%)

Profiling