Metrics for Main:bigenough2 from A

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

sample1.4s (24.6%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 799.0ms

ival-mult: 396.0ms (49.6% of total)

ival-add: 392.0ms (49.1% of total)

const: 7.0ms (0.9% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess234.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

explain64.0ms (1.1%)

FPErrors

Click to see full error table

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

Results

36.0ms

512×

valid

Compiler

Compiled 54 to 20 computations (63% saved)

Precisions

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

ival-add: 6.0ms (57.9% of total)

ival-mult: 4.0ms (38.6% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

localize80.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x z)
✓	cost-diff	0	(fma.f64 y (+.f64 x z) x)
✓	cost-diff	-6272	(+.f64 x (*.f64 y (+.f64 z x)))
✓	cost-diff	0	(+.f64 z x)
✓	cost-diff	0	(*.f64 y (+.f64 z x))
✓	accuracy	100.0%	(+.f64 x z)
✓	accuracy	100.0%	(fma.f64 y (+.f64 x z) x)
✓	accuracy	100.0%	(+.f64 z x)
✓	accuracy	100.0%	(*.f64 y (+.f64 z x))
✓	accuracy	100.0%	(+.f64 x (*.f64 y (+.f64 z x)))

Rules

65×	`fma-define`
8×	`associate-r`
8×	`associate-l`
7×	`+-commutative`
6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	126
1	25	126
2	40	126
3	55	126
4	68	126
5	75	126
6	81	126
7	100	126
8	116	126
9	130	126
10	148	126
11	155	126
12	156	126

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

48.0ms

256×

valid

Compiler

Compiled 34 to 9 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-add: 30.0ms (85.5% of total)

ival-fma: 3.0ms (8.6% of total)

ival-mult: 2.0ms (5.7% of total)

const: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Counts

5 → 150

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite288.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	102
1	203	102
2	2733	102

Stop Event

1×	node limit

Counts

5 → 277

Calls

Call 1

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

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

simplify179.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

394×	`associate-/l*`
338×	`cancel-sign-sub-inv`
284×	`distribute-lft-neg-in`
282×	`fma-neg`
279×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	452	14437
1	1089	13483
2	3301	13335

Stop Event

1×	node limit

Counts

427 → 261

Calls

Call 1

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

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

eval34.0ms (0.6%)

Compiler: Compiled 3505 to 781 computations (77.7% saved)

prune40.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	255	6	261
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	256	7	263

Accuracy

100.0%

Counts

263 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (*.f64 y (+.f64 z x)))
	75.8%	(+.f64 x (*.f64 y z))
▶	89.4%	(*.f64 y (+.f64 (+.f64 z x) (/.f64 x y)))
▶	64.5%	(*.f64 y (+.f64 z x))
▶	40.9%	(*.f64 y z)
▶	64.1%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
▶	37.0%	x

Compiler

Compiled 102 to 66 computations (35.3% saved)

localize461.0ms (8.2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(+.f64 z x)
	cost-diff	0	(*.f64 y (+.f64 z x))
✓	cost-diff	-6272	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 y #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	-6400	(+.f64 (+.f64 z x) (/.f64 x y))
✓	cost-diff	-6144	(*.f64 y (+.f64 (+.f64 z x) (/.f64 x y)))
✓	cost-diff	0	(/.f64 x y)
	cost-diff	0	(+.f64 z x)
	accuracy	100.0%	(+.f64 z x)
	accuracy	100.0%	(*.f64 y (+.f64 z x))
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(/.f64 x y)
	accuracy	100.0%	(+.f64 z x)
✓	accuracy	100.0%	(+.f64 (+.f64 z x) (/.f64 x y))
✓	accuracy	89.4%	(*.f64 y (+.f64 (+.f64 z x) (/.f64 x y)))

Rules

995×	`fma-define`
738×	`swap-sqr`
555×	`distribute-rgt-out`
534×	`associate-/r/`
475×	`cube-prod`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	219
1	47	218
2	89	218
3	146	205
4	220	204
5	379	204
6	806	204
7	1984	204
8	3172	204
9	3838	204
10	4938	204
11	6171	204
12	7163	204

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

320.0ms

256×

valid

Compiler

Compiled 57 to 13 computations (77.2% saved)

Precisions

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

ival-mult: 7.0ms (51.8% of total)

ival-add: 4.0ms (29.6% of total)

ival-div: 2.0ms (14.8% of total)

const: 0.0ms (0% of total)

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

series20.0ms (0.4%)

Counts

6 → 108

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite211.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

937×	`log1p-expm1-u`
937×	`expm1-log1p-u`
729×	`fma-define`
343×	`fma-neg`
122×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	126
1	261	125
2	4156	125

Stop Event

1×	node limit

Counts

6 → 311

Calls

Call 1

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

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

simplify209.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

786×	`fma-neg`
400×	`associate-r`
331×	`associate-l`
250×	`exp-prod`
239×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	692	14531
1	1659	12899
2	5393	12884

Stop Event

1×	node limit

Counts

419 → 409

Calls

Call 1

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

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

eval83.0ms (1.5%)

Compiler: Compiled 8702 to 1575 computations (81.9% saved)

prune127.0ms (2.2%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	625	2	627
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	626	8	634

Accuracy

100.0%

Counts

634 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (*.f64 y (+.f64 z x)))
▶	75.8%	(+.f64 x (*.f64 y z))
▶	65.2%	(*.f64 y (+.f64 z (/.f64 x y)))
✓	64.5%	(*.f64 y (+.f64 z x))
✓	40.9%	(*.f64 y z)
▶	29.6%	(*.f64 y x)
✓	64.1%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	37.0%	x

Compiler

Compiled 60 to 39 computations (35% saved)

localize520.0ms (9.2%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 x (*.f64 y z))
	cost-diff	0	(*.f64 y z)
✓	cost-diff	-6144	(*.f64 y (+.f64 z (/.f64 x y)))
	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(+.f64 z (/.f64 x y))
✓	cost-diff	0	(*.f64 y x)
	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(+.f64 x (*.f64 y z))
	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 z (/.f64 x y))
✓	accuracy	89.4%	(*.f64 y (+.f64 z (/.f64 x y)))
✓	accuracy	100.0%	(*.f64 y x)

Rules

1741×	`cube-prod`
804×	`swap-sqr`
794×	`cube-div`
517×	`pow-sqr`
395×	`*-commutative`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	155
1	25	155
2	35	155
3	39	141
4	42	129
5	49	129
6	74	129
7	151	129
8	630	129
9	1743	129
10	2474	129
11	2939	129
12	3598	129
13	4520	129
14	4848	129
15	4938	129
16	5008	129
17	5086	129
18	5256	129
19	6342	129
20	6851	129
21	6954	129
22	7032	129
23	7105	129
24	7178	129
25	7253	129
26	7340	129
27	7427	129
28	7514	129
29	7601	129

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

31.0ms

256×

valid

Compiler

Compiled 38 to 10 computations (73.7% saved)

Precisions

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

ival-mult: 6.0ms (55.5% of total)

ival-div: 2.0ms (18.5% of total)

ival-add: 2.0ms (18.5% of total)

const: 0.0ms (0% of total)

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

series69.0ms (1.2%)

Counts

4 → 108

Calls

Call 1

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

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

Calls

33 calls:

Time	Variable		Point	Expression
60.0ms	z	@	0	(+ x (* y z))
0.0ms	y	@	-inf	(* y (+ z (/ x y)))
0.0ms	x	@	inf	(* y x)
0.0ms	z	@	-inf	(* y (+ z (/ x y)))
0.0ms	x	@	-inf	(* y (+ z (/ x y)))

rewrite204.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

759×	`log1p-expm1-u`
759×	`expm1-log1p-u`
608×	`log-prod`
504×	`fma-define`
241×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	217	84
2	3300	84

Stop Event

1×	node limit

Counts

4 → 209

Calls

Call 1

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

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

simplify143.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

454×	`distribute-lft-in`
429×	`distribute-rgt-in`
405×	`associate-/r*`
320×	`associate-*r/`
302×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	478	8752
1	1074	8046
2	2960	8004

Stop Event

1×	node limit

Counts

317 → 251

Calls

Call 1

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

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

eval45.0ms (0.8%)

Compiler: Compiled 3655 to 746 computations (79.6% saved)

prune47.0ms (0.8%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	304	0	304
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	304	8	312

Accuracy

100.0%

Counts

312 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (*.f64 y (+.f64 z x)))
✓	75.8%	(+.f64 x (*.f64 y z))
✓	65.2%	(*.f64 y (+.f64 z (/.f64 x y)))
✓	64.5%	(*.f64 y (+.f64 z x))
✓	40.9%	(*.f64 y z)
✓	29.6%	(*.f64 y x)
✓	64.1%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	37.0%	x

Compiler

Compiled 114 to 58 computations (49.1% saved)

regimes18.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	z
4.0ms	x
4.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
4.0ms	y

Results

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes17.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
4.0ms	x
3.0ms	z
3.0ms	y

Results

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes9.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
91.2%	3	`x`
99.0%	3	`y`
88.1%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes336.0ms (6%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

330.0ms	y
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
81.8%	3	`z`
83.2%	3	`x`
86.4%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
77.4%	3	`z`
81.5%	3	`x`
66.0%	2	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
67.5%	5	`y`
57.9%	3	`z`
62.9%	4	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 y x)

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
63.2%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

3.0ms	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
37.0%	1	`z`
37.0%	1	`x`
37.0%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch30.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	9.100831925073659e-15	0.011929623025822785
13.0ms	-61816188528.07327	-0.32282788048628

Results

16.0ms

320×

valid

Compiler

Compiled 376 to 251 computations (33.2% saved)

Precisions

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

ival-add: 4.0ms (62.8% of total)

ival-mult: 2.0ms (31.4% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	3.253811303435269e-49	1.0185650413147754e-48
9.0ms	-4682397305542381.0	-235227911693756.13

Results

11.0ms

192×

valid

Compiler

Compiled 232 to 167 computations (28% saved)

Precisions

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

ival-add: 2.0ms (49.1% of total)

ival-mult: 2.0ms (49.1% of total)

const: 0.0ms (0% of total)

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

bsearch26.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.2799421787311765e-99	3.4773245228699243e-99
6.0ms	-2.455601723137575e-214	-1.0619228146633701e-214

Results

7.0ms

144×

valid

Compiler

Compiled 160 to 119 computations (25.6% saved)

Precisions

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

ival-add: 2.0ms (72.6% of total)

ival-mult: 1.0ms (36.3% of total)

const: 0.0ms (0% of total)

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

bsearch44.0ms (0.8%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
10.0ms	4.482891229238665e+83	2.1713656405938963e+88
6.0ms	3.253811303435269e-49	1.0185650413147754e-48
16.0ms	-61816188528.07327	-0.32282788048628
9.0ms	-1.1501786194705714e+118	-2.5664315091871502e+116

Results

26.0ms

480×

valid

Compiler

Compiled 406 to 296 computations (27.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-add: 8.0ms (65.8% of total)

ival-mult: 4.0ms (32.9% of total)

const: 0.0ms (0% of total)

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

bsearch52.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.011929623025822785	5.047568682670905
40.0ms	-61816188528.07327	-0.32282788048628

Results

42.0ms

288×

valid

Compiler

Compiled 232 to 173 computations (25.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 3.0ms (54.6% of total)

ival-mult: 2.0ms (36.4% of total)

const: 0.0ms (0% of total)

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

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	424
1	83	424

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 y (+.f64 z x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y (+.f64 z x)) (if (<=.f64 y #s(literal 6802236877180397/576460752303423488 binary64)) (+.f64 x (.f64 y z)) (*.f64 y (+.f64 z x))))
(if (<=.f64 y #s(literal -240000000000000 binary64)) (.f64 y (+.f64 z x)) (if (<=.f64 y #s(literal 5265614583427859/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 y (+.f64 z x))))
(if (<=.f64 x #s(literal -5821942846127659/24258095192198577111702804507226602425888844017448384549047688094157046135724638848919975137947601217976370792142673018846430938189293974866316988672518455300069609000325779774222895087993725700394734362401819824232700732090875904 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 2832019195365853/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) (.f64 y z) (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -9199999999999999513218419653587521603986811441798811965289093242718489096093817823971401817798170630249302801344626688 binary64)) (.f64 y z) (if (<=.f64 y #s(literal -1 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 6252917317820583/6582018229284824168619876730229402019930943462534319453394436096 binary64)) x (if (<=.f64 y #s(literal 111999999999999996117240788403134749520840124819221004678317230426707948666109221142528 binary64)) (.f64 y z) (.f64 y x)))))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 1 binary64)) x (.f64 y x)))
x

Outputs
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 x z)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y (+.f64 z x)) (if (<=.f64 y #s(literal 6802236877180397/576460752303423488 binary64)) (+.f64 x (.f64 y z)) (*.f64 y (+.f64 z x))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 6802236877180397/576460752303423488 binary64)))) (.f64 y (+.f64 x z)) (+.f64 x (.f64 y z)))
(if (<=.f64 y #s(literal -240000000000000 binary64)) (.f64 y (+.f64 z x)) (if (<=.f64 y #s(literal 5265614583427859/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 y (+.f64 z x))))
(if (or (<=.f64 y #s(literal -240000000000000 binary64)) (not (<=.f64 y #s(literal 5265614583427859/6582018229284824168619876730229402019930943462534319453394436096 binary64)))) (.f64 y (+.f64 x z)) (.f64 x (+.f64 y #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -5821942846127659/24258095192198577111702804507226602425888844017448384549047688094157046135724638848919975137947601217976370792142673018846430938189293974866316988672518455300069609000325779774222895087993725700394734362401819824232700732090875904 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 2832019195365853/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) (.f64 y z) (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(if (or (<=.f64 x #s(literal -5821942846127659/24258095192198577111702804507226602425888844017448384549047688094157046135724638848919975137947601217976370792142673018846430938189293974866316988672518455300069609000325779774222895087993725700394734362401819824232700732090875904 binary64)) (not (<=.f64 x #s(literal 2832019195365853/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)))) (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 y z))
(if (<=.f64 y #s(literal -9199999999999999513218419653587521603986811441798811965289093242718489096093817823971401817798170630249302801344626688 binary64)) (.f64 y z) (if (<=.f64 y #s(literal -1 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 6252917317820583/6582018229284824168619876730229402019930943462534319453394436096 binary64)) x (if (<=.f64 y #s(literal 111999999999999996117240788403134749520840124819221004678317230426707948666109221142528 binary64)) (.f64 y z) (.f64 y x)))))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 1 binary64)) x (.f64 y x)))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (*.f64 y x) x)
x

soundness514.0ms (9.1%)

Rules

994×	`fma-neg`
513×	`fma-define`
394×	`associate-/l*`
338×	`cancel-sign-sub-inv`
284×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	369
1	106	313
2	363	313
3	949	313
4	2595	313
5	3322	313
6	3432	313
7	3432	313
8	4189	313
9	4189	313
0	452	14437
1	1089	13483
2	3301	13335

Stop Event

1×	done
1×	node limit
1×	saturated

Compiler

Compiled 178 to 78 computations (56.2% saved)

preprocess93.0ms (1.7%)

Compiler: Compiled 248 to 108 computations (56.5% saved)

Iter	Nodes	Cost
0	15	126
1	25	126
2	40	126
3	55	126
4	68	126
5	75	126
6	81	126
7	100	126
8	116	126
9	130	126
10	148	126
11	155	126
12	156	126

Iter	Nodes	Cost
0	15	126
1	25	126
2	40	126
3	55	126
4	68	126
5	75	126
6	81	126
7	100	126
8	116	126
9	130	126
10	148	126
11	155	126
12	156	126

analyze0.0ms (0%)

sample1.4s (24.6%)

preprocess234.0ms (4.2%)

explain64.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize80.0ms (1.4%)

series13.0ms (0.2%)

rewrite288.0ms (5.1%)

simplify179.0ms (3.2%)

eval34.0ms (0.6%)

prune40.0ms (0.7%)

localize461.0ms (8.2%)

series20.0ms (0.4%)

rewrite211.0ms (3.7%)

simplify209.0ms (3.7%)

eval83.0ms (1.5%)

prune127.0ms (2.2%)

localize520.0ms (9.2%)

series69.0ms (1.2%)

rewrite204.0ms (3.6%)

simplify143.0ms (2.5%)

eval45.0ms (0.8%)

prune47.0ms (0.8%)

regimes18.0ms (0.3%)

regimes17.0ms (0.3%)

regimes9.0ms (0.2%)

regimes336.0ms (6%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

bsearch30.0ms (0.5%)

bsearch18.0ms (0.3%)

bsearch26.0ms (0.5%)

bsearch44.0ms (0.8%)

bsearch52.0ms (0.9%)

simplify5.0ms (0.1%)

soundness514.0ms (9.1%)

preprocess93.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	126
1	25	126
2	40	126
3	55	126
4	68	126
5	75	126
6	81	126
7	100	126
8	116	126
9	130	126
10	148	126
11	155	126
12	156	126