Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, D

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

Precisions

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

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

ival-sub: 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)

sample747.0ms (13.3%)

Results

493.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 263.0ms

ival-div: 116.0ms (44.1% of total)

ival-mult: 83.0ms (31.5% of total)

ival-sub: 47.0ms (17.9% of total)

const: 15.0ms (5.7% of total)

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

Bogosity

preprocess104.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

661×	`fma-define`
378×	`fma-neg`
86×	`unsub-neg`
83×	`distribute-lft-neg-in`
79×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	398
1	83	342
2	171	330
3	373	330
4	780	330
5	1448	330
6	2207	330
7	2262	330
8	2268	330
9	2268	330

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(neg.f64 (-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(neg.f64 (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64))))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 x #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x z) #s(literal 2 binary64)) (/.f64 y #s(literal 8 binary64)))

Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(neg.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(fma.f64 x (.f64 y #s(literal -1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(neg.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(fma.f64 x (.f64 y #s(literal -1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64))))
(-.f64 (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(neg.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(fma.f64 x (.f64 y #s(literal -1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 x #s(literal 8 binary64)))
(-.f64 (*.f64 z (/.f64 y #s(literal 2 binary64))) (/.f64 x #s(literal 8 binary64)))
(fma.f64 z (/.f64 y #s(literal 2 binary64)) (/.f64 x #s(literal -8 binary64)))
(fma.f64 y (/.f64 z #s(literal 2 binary64)) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 x #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x z) #s(literal 2 binary64)) (/.f64 y #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 z #s(literal 2 binary64))) (/.f64 y #s(literal 8 binary64)))
(fma.f64 x (/.f64 z #s(literal 2 binary64)) (/.f64 y #s(literal -8 binary64)))
(fma.f64 x (/.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal -1/8 binary64)))
(fma.f64 x (.f64 z #s(literal 1/2 binary64)) (.f64 y #s(literal -1/8 binary64)))

Symmetry

(sort x y)

explain71.0ms (1.3%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(/.f64 z #s(literal 8 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
-	-	`(*.f64 x y)`
-	-	`z`
-	-	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
-	-	`#s(literal 8 binary64)`

Results

44.0ms

512×

valid

Compiler

Compiled 70 to 29 computations (58.6% saved)

Precisions

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

ival-div: 8.0ms (41.9% of total)

ival-sub: 5.0ms (26.2% of total)

ival-mult: 5.0ms (26.2% of total)

const: 1.0ms (5.2% of total)

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

eval1.0ms (0%)

Compiler: Compiled 36 to 19 computations (47.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
▶	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Compiler

Compiled 23 to 17 computations (26.1% saved)

localize90.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 z #s(literal -8 binary64))
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
✓	cost-diff	-6272	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
✓	cost-diff	0	(/.f64 z #s(literal 8 binary64))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 (*.f64 x y) #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
✓	accuracy	100.0%	(/.f64 z #s(literal -8 binary64))
✓	accuracy	100.0%	(/.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (*.f64 x y) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 z #s(literal 8 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Rules

212×	`fma-define`
147×	`fma-neg`
44×	`distribute-lft-neg-in`
31×	`cancel-sign-sub-inv`
30×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	158
1	28	150
2	40	150
3	51	150
4	80	150
5	126	150
6	233	150
7	405	150
8	591	150
9	796	150
10	895	150
11	910	150
12	912	150

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
z
#s(literal 8 binary64)
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
y
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 z #s(literal -8 binary64))
z
#s(literal -8 binary64)

Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 x (/.f64 y #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 x (/.f64 y #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(.f64 x (.f64 y #s(literal 1/2 binary64)))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
(*.f64 z #s(literal 1/8 binary64))
z
#s(literal 8 binary64)
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 x (/.f64 y #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 x (/.f64 y #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
y
(/.f64 x #s(literal 2 binary64))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 2 binary64)
(/.f64 z #s(literal -8 binary64))
(*.f64 z #s(literal -1/8 binary64))
z
#s(literal -8 binary64)

Results

33.0ms

256×

valid

Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions

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

ival-div: 6.0ms (43% of total)

ival-fma: 3.0ms (21.5% of total)

ival-mult: 2.0ms (14.3% of total)

ival-sub: 1.0ms (7.2% of total)

const: 1.0ms (7.2% of total)

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

series22.0ms (0.4%)

Counts

7 → 132

Calls

Call 1

Inputs
#<alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))>
#<alt (*.f64 x y)>
#<alt (/.f64 z #s(literal 8 binary64))>
#<alt (/.f64 (*.f64 x y) #s(literal 2 binary64))>
#<alt (/.f64 x #s(literal 2 binary64))>
#<alt (/.f64 z #s(literal -8 binary64))>
#<alt (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))>

Outputs
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(- (/ (* x y) 2) (/ z 8))
1.0ms	x	@	-inf	(* x y)
1.0ms	y	@	inf	(- (/ (* x y) 2) (/ z 8))
1.0ms	x	@	inf	(- (/ (* x y) 2) (/ z 8))
0.0ms	z	@	0	(- (/ (* x y) 2) (/ z 8))

rewrite255.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`log1p-expm1-u`
1078×	`expm1-log1p-u`
262×	`fma-define`
176×	`log1p-undefine`
144×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	130
1	255	122
2	3671	122

Stop Event

1×	node limit

Counts

7 → 340

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(*.f64 x y)
(/.f64 z #s(literal 8 binary64))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 x #s(literal 2 binary64))
(/.f64 z #s(literal -8 binary64))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))

Outputs
(+.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(+.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (.f64 z #s(literal 1/8 binary64)) (.f64 x (*.f64 y #s(literal 1/2 binary64))))
(.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64)))))
(.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64))) (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))
(/.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) z)) #s(literal 16 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x y) z) #s(literal 16 binary64))))
(/.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal 2 binary64) z)) #s(literal 16 binary64))
(/.f64 (fma.f64 (.f64 x y) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (fma.f64 (.f64 x y) #s(literal -8 binary64) (.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) z)) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 8 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) z) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (+.f64 #s(literal -8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (neg.f64 z))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -8 binary64)))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) #s(literal 8 binary64) (.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) #s(literal -8 binary64) (.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 16 binary64))
(/.f64 (fma.f64 (.f64 x y) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 (.f64 (.f64 x y) #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (-.f64 #s(literal 8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) z)) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 8 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) z) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 #s(literal -8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (neg.f64 z))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -8 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 y)) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 y)) #s(literal -8 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 16 binary64))
(/.f64 (neg.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) z))) #s(literal -16 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x y) z) #s(literal 16 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64)))))
(pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(hypot.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(exp.f64 (log.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))
(fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))
(fma.f64 (.f64 x y) #s(literal 1/2 binary64) (.f64 z #s(literal 1/8 binary64)))
(fma.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 z #s(literal 1/8 binary64) (.f64 x (.f64 y #s(literal 1/2 binary64))))
(fma.f64 z #s(literal -1/8 binary64) (.f64 x (.f64 y #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) y (.f64 z #s(literal 1/8 binary64)))
(fma.f64 (.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64) (.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 z #s(literal 1/8 binary64)) (.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (.f64 x (.f64 y #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) (.f64 x (.f64 y #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64)))) (.f64 x (.f64 y #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (*.f64 z #s(literal 1/8 binary64)))
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(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 1/8 binary64)))
(*.f64 z #s(literal 1/8 binary64))
(*.f64 z #s(literal -1/8 binary64))
(.f64 (.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 z #s(literal 1/8 binary64)))
(.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal 8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal -8 binary64)))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal 8 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal -8 binary64)))
(*.f64 (neg.f64 z) #s(literal 1/8 binary64))
(*.f64 (neg.f64 z) #s(literal -1/8 binary64))
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (neg.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z #s(literal 1/8 binary64)))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(pow.f64 (*.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1 binary64))
(neg.f64 (*.f64 z #s(literal 1/8 binary64)))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal 1/8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal 1/8 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 1/8 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal 1/8 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(+.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (.f64 z #s(literal 1/8 binary64)) (.f64 x (*.f64 y #s(literal 1/2 binary64))))
(-.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 x (.f64 y #s(literal 8 binary64))) #s(literal 16 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 16 binary64)))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64)))) (/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x y) z) #s(literal 16 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64)))))
(.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64))) (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))
(/.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) z)) #s(literal 16 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x y) z) #s(literal 16 binary64))))
(/.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal 2 binary64) z)) #s(literal 16 binary64))
(/.f64 (fma.f64 (.f64 x y) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (fma.f64 (.f64 x y) #s(literal -8 binary64) (.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) z)) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 8 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) z) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (+.f64 #s(literal -8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (neg.f64 z))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -8 binary64)))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) #s(literal 8 binary64) (.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) #s(literal -8 binary64) (.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 16 binary64))
(/.f64 (fma.f64 (.f64 x y) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 (.f64 (.f64 x y) #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (-.f64 #s(literal 8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) z)) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 8 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) z) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 #s(literal -8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (neg.f64 z))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -8 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 y)) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 y)) #s(literal -8 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 16 binary64))
(/.f64 (neg.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) z))) #s(literal -16 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x y) z) #s(literal 16 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64)))))
(pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(hypot.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(exp.f64 (log.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 1 binary64)))

simplify310.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

501×	`fma-neg`
472×	`cancel-sign-sub-inv`
404×	`associate-*r/`
328×	`distribute-lft-neg-in`
320×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	486	12740
1	1064	12151
2	3285	11971

Stop Event

1×	node limit

Counts

472 → 312

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1/8 binary64) z)
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
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(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 1/8 binary64)))
(*.f64 z #s(literal 1/8 binary64))
(*.f64 z #s(literal -1/8 binary64))
(.f64 (.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 z #s(literal 1/8 binary64)))
(.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal 8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal -8 binary64)))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal 8 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal -8 binary64)))
(*.f64 (neg.f64 z) #s(literal 1/8 binary64))
(*.f64 (neg.f64 z) #s(literal -1/8 binary64))
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (neg.f64 (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z #s(literal 1/8 binary64)))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(pow.f64 (*.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1 binary64))
(neg.f64 (*.f64 z #s(literal 1/8 binary64)))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal 1/8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal 1/8 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 1/8 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal 1/8 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(+.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (.f64 z #s(literal 1/8 binary64)) (.f64 x (*.f64 y #s(literal 1/2 binary64))))
(-.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 x (.f64 y #s(literal 8 binary64))) #s(literal 16 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 16 binary64)))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64)))) (/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x y) z) #s(literal 16 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64)))))
(.f64 (+.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (.f64 x (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64))) (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))
(/.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) z)) #s(literal 16 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x y) z) #s(literal 16 binary64))))
(/.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal 2 binary64) z)) #s(literal 16 binary64))
(/.f64 (fma.f64 (.f64 x y) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (fma.f64 (.f64 x y) #s(literal -8 binary64) (.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) z)) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 8 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) z) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (+.f64 #s(literal -8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (neg.f64 z))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -8 binary64)))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) #s(literal 8 binary64) (.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) #s(literal -8 binary64) (.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 16 binary64))
(/.f64 (fma.f64 (.f64 x y) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 (.f64 (.f64 x y) #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (-.f64 #s(literal 8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) z)) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 8 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) z) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 #s(literal -8 binary64) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (neg.f64 z))) (.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal -8 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 y)) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64))
(/.f64 (fma.f64 (.f64 x (neg.f64 y)) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 (.f64 (.f64 x (neg.f64 y)) #s(literal -8 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 16 binary64))
(/.f64 (neg.f64 (fma.f64 x (.f64 y #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) z))) #s(literal -16 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 x y) z) #s(literal 16 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) (/.f64 (.f64 (.f64 x y) z) #s(literal 16 binary64)))))
(pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(hypot.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(exp.f64 (log.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal -1/8 binary64) z)
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(fma.f64 x (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (.f64 x (.f64 #s(literal 1/2 binary64) y)))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(fma.f64 x (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (.f64 x (.f64 #s(literal 1/2 binary64) y)))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(fma.f64 x (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (.f64 x (.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (.f64 #s(literal 1/2 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (.f64 #s(literal 1/2 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal -1/8 binary64) z)
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(fma.f64 x (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (.f64 x (.f64 #s(literal 1/2 binary64) y)))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(fma.f64 x (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (.f64 x (.f64 #s(literal 1/2 binary64) y)))
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(fma.f64 x (.f64 #s(literal 1/2 binary64) y) (.f64 z #s(literal 1/8 binary64)))
(fma.f64 z #s(literal 1/8 binary64) (.f64 x (.f64 #s(literal 1/2 binary64) y)))
(expm1.f64 (log1p.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(fma.f64 x (.f64 #s(literal 1/2 binary64) y) (.f64 z #s(literal 1/8 binary64)))
(fma.f64 z #s(literal 1/8 binary64) (.f64 x (.f64 #s(literal 1/2 binary64) y)))
(hypot.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(hypot.f64 (.f64 x (.f64 #s(literal 1/2 binary64) y)) (*.f64 z #s(literal 1/8 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(fma.f64 x (.f64 #s(literal 1/2 binary64) y) (.f64 z #s(literal 1/8 binary64)))
(fma.f64 z #s(literal 1/8 binary64) (.f64 x (.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (log.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64)))))
(fma.f64 x (.f64 #s(literal 1/2 binary64) y) (.f64 z #s(literal 1/8 binary64)))
(fma.f64 z #s(literal 1/8 binary64) (.f64 x (.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) y) (.f64 z #s(literal 1/8 binary64)))
(fma.f64 z #s(literal 1/8 binary64) (.f64 x (.f64 #s(literal 1/2 binary64) y)))

eval44.0ms (0.8%)

Compiler: Compiled 4492 to 771 computations (82.8% saved)

prune109.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	307	5	312
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	308	6	314

Accuracy

100.0%

Counts

314 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
▶	85.8%	(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (/.f64 (*.f64 y #s(literal -8 binary64)) z))) #s(literal -16 binary64)) z)
▶	88.7%	(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
▶	88.6%	(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
▶	52.3%	(.f64 x (.f64 #s(literal 1/2 binary64) y))
▶	49.3%	(*.f64 #s(literal -1/8 binary64) z)

Compiler

Compiled 128 to 95 computations (25.8% saved)

localize358.0ms (6.4%)

Algorithm

1×	egg-herbie

Localize:

Found 30 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6016	(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (/.f64 (*.f64 y #s(literal -8 binary64)) z))) #s(literal -16 binary64)) z)
✓	cost-diff	0	(*.f64 y #s(literal -8 binary64))
✓	cost-diff	0	(/.f64 (*.f64 y #s(literal -8 binary64)) z)
✓	cost-diff	0	(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
✓	cost-diff	-6144	(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	0	(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(.f64 x (.f64 #s(literal 1/2 binary64) y))
✓	cost-diff	0	(*.f64 #s(literal -1/8 binary64) z)
✓	cost-diff	-6144	(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(*.f64 #s(literal -1/8 binary64) (/.f64 z y))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z)))
✓	accuracy	99.6%	(/.f64 (*.f64 y #s(literal -8 binary64)) z)
✓	accuracy	91.7%	(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
✓	accuracy	90.0%	(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (/.f64 (*.f64 y #s(literal -8 binary64)) z))) #s(literal -16 binary64)) z)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (.f64 #s(literal 1/2 binary64) y))
✓	accuracy	88.6%	(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
✓	accuracy	100.0%	(.f64 x (.f64 #s(literal 1/2 binary64) y))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(*.f64 #s(literal -1/8 binary64) z)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal -1/8 binary64) (/.f64 z y))
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (.f64 #s(literal 1/2 binary64) x))
✓	accuracy	88.7%	(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))

Rules

1269×	`associate-/l/`
1021×	`fma-define`
750×	`cube-prod`
679×	`cube-div`
516×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	488
1	70	480
2	138	480
3	231	453
4	342	453
5	783	453
6	2691	453
7	3349	453
8	3470	453
9	3692	453
10	3877	453
11	4036	453
12	5541	453
13	6329	453
14	6490	453
15	7028	453
16	7684	453

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
y
(+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1/8 binary64) (/.f64 z y))
#s(literal -1/8 binary64)
(/.f64 z y)
z
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z
(.f64 x (.f64 #s(literal 1/2 binary64) y))
x
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
x
(+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
#s(literal -1/8 binary64)
(/.f64 z x)
z
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (/.f64 (*.f64 y #s(literal -8 binary64)) z))) #s(literal -16 binary64)) z)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))) #s(literal -16 binary64))
(+.f64 #s(literal 2 binary64) (.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z)))
#s(literal 2 binary64)
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
x
(/.f64 (*.f64 y #s(literal -8 binary64)) z)
(*.f64 y #s(literal -8 binary64))
y
#s(literal -8 binary64)
z
#s(literal -16 binary64)

Outputs
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 y (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal -1/8 binary64) z))
y
(+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 z (/.f64 #s(literal -1/8 binary64) y) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1/8 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -1/8 binary64) y))
#s(literal -1/8 binary64)
(/.f64 z y)
z
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 x (.f64 y #s(literal 1/2 binary64)))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
x
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
y
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 y (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal -1/8 binary64) z))
x
(+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 z x)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/8 binary64) x)))
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
(*.f64 z (/.f64 #s(literal -1/8 binary64) x))
#s(literal -1/8 binary64)
(/.f64 z x)
z
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
y
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (/.f64 (*.f64 y #s(literal -8 binary64)) z))) #s(literal -16 binary64)) z)
(.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 y (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal -1/8 binary64) z))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))) #s(literal -16 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 y (/.f64 #s(literal -8 binary64) z)))) #s(literal -16 binary64))
(/.f64 (fma.f64 x (/.f64 (*.f64 y #s(literal -8 binary64)) z) #s(literal 2 binary64)) #s(literal -16 binary64))
(/.f64 (fma.f64 y (*.f64 x (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64)) #s(literal -16 binary64))
(+.f64 #s(literal 2 binary64) (.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 y (/.f64 #s(literal -8 binary64) z))))
(fma.f64 x (/.f64 (*.f64 y #s(literal -8 binary64)) z) #s(literal 2 binary64))
(fma.f64 y (*.f64 x (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(.f64 x (.f64 y (/.f64 #s(literal -8 binary64) z)))
(.f64 (.f64 y #s(literal -8 binary64)) (/.f64 x z))
(.f64 y (.f64 x (/.f64 #s(literal -8 binary64) z)))
(.f64 (.f64 x #s(literal -8 binary64)) (/.f64 y z))
x
(/.f64 (*.f64 y #s(literal -8 binary64)) z)
(*.f64 y (/.f64 #s(literal -8 binary64) z))
(*.f64 y #s(literal -8 binary64))
y
#s(literal -8 binary64)
z
#s(literal -16 binary64)

Results

80.0ms

256×

valid

Compiler

Compiled 146 to 27 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 18.0ms (58.1% of total)

ival-div: 8.0ms (25.8% of total)

ival-add: 4.0ms (12.9% of total)

const: 1.0ms (3.2% of total)

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

series447.0ms (8%)

Counts

17 → 282

Calls

Call 1

Inputs
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (.f64 #s(literal 1/2 binary64) x))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (.f64 x (.f64 #s(literal 1/2 binary64) y))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 z x))>
#<alt (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (/.f64 (*.f64 y #s(literal -8 binary64)) z))) #s(literal -16 binary64)) z)>
#<alt (.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))>
#<alt (/.f64 (*.f64 y #s(literal -8 binary64)) z)>
#<alt (+.f64 #s(literal 2 binary64) (.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z)))>
#<alt (/.f64 z y)>
#<alt (/.f64 z x)>
#<alt (*.f64 y #s(literal -8 binary64))>

Outputs
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 z y))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 z y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x z)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x z)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x z)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 z y))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y))) y)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y))) y)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y))) y)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 z (*.f64 x y)))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 z (*.f64 x y)))))>
#<alt (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 z (*.f64 x y)))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
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#<alt (+.f64 #s(literal 2 binary64) (.f64 #s(literal -8 binary64) (/.f64 (.f64 x y) z)))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 #s(literal -8 binary64) (/.f64 (.f64 x y) z)))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 #s(literal -8 binary64) (/.f64 (.f64 x y) z)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (.f64 #s(literal -8 binary64) (/.f64 (.f64 x y) z)))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 #s(literal -8 binary64) (/.f64 (.f64 x y) z)))>
#<alt (+.f64 #s(literal 2 binary64) (.f64 #s(literal -8 binary64) (/.f64 (.f64 x y) z)))>
#<alt (*.f64 #s(literal -8 binary64) y)>
#<alt (*.f64 #s(literal -8 binary64) y)>
#<alt (*.f64 #s(literal -8 binary64) y)>
#<alt (*.f64 #s(literal -8 binary64) y)>
#<alt (*.f64 #s(literal -8 binary64) y)>
#<alt (*.f64 #s(literal -8 binary64) y)>
#<alt (*.f64 #s(literal -8 binary64) y)>
#<alt (*.f64 #s(literal -8 binary64) y)>
#<alt (*.f64 #s(literal -8 binary64) y)>
#<alt (*.f64 #s(literal -8 binary64) y)>
#<alt (*.f64 #s(literal -8 binary64) y)>
#<alt (*.f64 #s(literal -8 binary64) y)>

Calls

111 calls:

Time	Variable		Point	Expression
255.0ms	y	@	0	(/ z y)
143.0ms	y	@	0	(* -1/8 (/ z y))
3.0ms	y	@	inf	(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
2.0ms	y	@	inf	(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
1.0ms	z	@	0	(* (/ (+ 2 (* x (/ (* y -8) z))) -16) z)

rewrite284.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

439×	`log1p-expm1-u`
274×	`associate-r`
232×	`expm1-log1p-u`
227×	`add-exp-log`
227×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	391
1	512	383
2	7664	383

Stop Event

1×	node limit

Counts

17 → 449

Calls

Call 1

Inputs
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1/8 binary64) (/.f64 z y))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal 1/2 binary64) y)
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (/.f64 (*.f64 y #s(literal -8 binary64)) z))) #s(literal -16 binary64)) z)
(.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z))
(/.f64 (*.f64 y #s(literal -8 binary64)) z)
(+.f64 #s(literal 2 binary64) (.f64 x (/.f64 (.f64 y #s(literal -8 binary64)) z)))
(/.f64 z y)
(/.f64 z x)
(*.f64 y #s(literal -8 binary64))

Outputs
(+.f64 (.f64 y (.f64 #s(literal 1/2 binary64) x)) (*.f64 y (/.f64 (/.f64 z #s(literal -8 binary64)) y)))
(+.f64 (.f64 y (/.f64 (/.f64 z #s(literal -8 binary64)) y)) (.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (.f64 (.f64 y (/.f64 (/.f64 z #s(literal -8 binary64)) y)) #s(literal 1 binary64)) (.f64 y (.f64 #s(literal 1/2 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 y (/.f64 (/.f64 z #s(literal -8 binary64)) y)) #s(literal 3 binary64)) (pow.f64 (.f64 y (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 y (/.f64 (/.f64 z #s(literal -8 binary64)) y)) (.f64 y (/.f64 (/.f64 z #s(literal -8 binary64)) y))) (-.f64 (pow.f64 (.f64 y (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 y (/.f64 (/.f64 z #s(literal -8 binary64)) y)) (.f64 y (.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (-.f64 (.f64 (.f64 y (/.f64 (/.f64 z #s(literal -8 binary64)) y)) (.f64 y (/.f64 (/.f64 z #s(literal -8 binary64)) y))) (pow.f64 (.f64 y (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (-.f64 (.f64 y (/.f64 (/.f64 z #s(literal -8 binary64)) y)) (.f64 y (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 y (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 z #s(literal -8 binary64)) y)))))
(/.f64 (.f64 y (-.f64 (pow.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) #s(literal 3 binary64))) y) (+.f64 (pow.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 z #s(literal -8 binary64)) y)))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) y) (+.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) (*.f64 #s(literal -1/2 binary64) x)))
(pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y))))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y)))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y)))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y)))))
(exp.f64 (.f64 (log.f64 (.f64 y (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y)))) #s(literal 1 binary64)))
(fma.f64 y (/.f64 (/.f64 z #s(literal -8 binary64)) y) (.f64 y (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) y (.f64 y (.f64 #s(literal 1/2 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) (.f64 #s(literal -1/2 binary64) x))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) (*.f64 #s(literal -1/2 binary64) x))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y))))
(.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 z #s(literal -8 binary64)) y))))))
(.f64 (-.f64 (pow.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 z #s(literal -8 binary64)) y)))) (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) (.f64 #s(literal -1/2 binary64) x)) (-.f64 (pow.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 z #s(literal -8 binary64)) y)))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) #s(literal 2 binary64)) (.f64 (/.f64 z y) (.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 z #s(literal -8 binary64)) y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) (.f64 #s(literal -1/2 binary64) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 z #s(literal -8 binary64)) y)))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 z y) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 z #s(literal -8 binary64)) y))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 (/.f64 z #s(literal -8 binary64)) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 z #s(literal -8 binary64)) y) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 z #s(literal -8 binary64)) y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 z #s(literal -8 binary64)) y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 z #s(literal -8 binary64)) y))
(fma.f64 (sqrt.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y)) (sqrt.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y)) (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y))) #s(literal 1 binary64))
(/.f64 #s(literal -1/8 binary64) (/.f64 y z))
(/.f64 z (*.f64 y #s(literal -8 binary64)))
(/.f64 (/.f64 z y) #s(literal -8 binary64))
(/.f64 (*.f64 #s(literal -1/8 binary64) z) y)
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal -8 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal -1/8 binary64) z)))
(/.f64 (neg.f64 z) (*.f64 y #s(literal 8 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) z)) (neg.f64 y))
(/.f64 (/.f64 z #s(literal 1 binary64)) (*.f64 y #s(literal -8 binary64)))
(/.f64 (/.f64 z #s(literal -8 binary64)) y)
(/.f64 (/.f64 z (sqrt.f64 (.f64 y #s(literal -8 binary64)))) (sqrt.f64 (.f64 y #s(literal -8 binary64))))
(/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 #s(literal -1/8 binary64) (neg.f64 z)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 z) #s(literal -1/8 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) y)
(/.f64 (/.f64 z (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 64 binary64)))) (cbrt.f64 (.f64 y #s(literal -8 binary64))))
(/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(pow.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal -8 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y)))
(exp.f64 (log.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z #s(literal -8 binary64)) y)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 z) (log.f64 (*.f64 y #s(literal -8 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) y))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 y)))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(neg.f64 (/.f64 z (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 z) y))
(sqrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z y))))
(cbrt.f64 (pow.f64 (/.f64 z y) #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 z y)))
(log1p.f64 (expm1.f64 (/.f64 z y)))
(exp.f64 (log.f64 (/.f64 z y)))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z x))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z x))
(*.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) x))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) x))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)))
(pow.f64 (/.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x z) #s(literal -1 binary64))
(neg.f64 (/.f64 z (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 z) x))
(sqrt.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z x))))
(cbrt.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(log1p.f64 (expm1.f64 (/.f64 z x)))
(exp.f64 (log.f64 (/.f64 z x)))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal -8 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal -8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal -8 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal -8 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal -8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 64 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal -8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal -8 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal -8 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal -8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal -8 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal -8 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal -8 binary64))) #s(literal 1 binary64)))

simplify457.0ms (8.1%)

Algorithm

1×	egg-herbie

Rules

836×	`fma-neg`
583×	`associate-r`
485×	`associate-l`
300×	`*-commutative`
237×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	999	23288
1	2223	22534
2	7859	22498

Stop Event

1×	node limit

Counts

731 → 650

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1/8 binary64) (/.f64 z y))
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1/8 binary64) (/.f64 z y))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x z)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x z)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x z)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1/8 binary64) (/.f64 z y))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y))) y)
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y))) y)
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y))) y)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1/8 binary64) (/.f64 z y))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 z (*.f64 x y)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 z (*.f64 x y)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 z (*.f64 x y)))))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 z (.f64 x y))) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 z (.f64 x y))) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 z (.f64 x y))) #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y z)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y z)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y z)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y))) x)
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y))) x)
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y))) x)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 z (*.f64 x y)))))
(.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 z (*.f64 x y)))))
(.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 z (*.f64 x y)))))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 z (.f64 x y))) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 z (.f64 x y))) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 z (.f64 x y))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
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(neg.f64 (/.f64 (*.f64 y #s(literal -8 binary64)) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 y #s(literal 8 binary64)) z))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 #s(literal -8 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 #s(literal -8 binary64) z)))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 #s(literal -8 binary64) z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y #s(literal -8 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal -8 binary64) z))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 #s(literal -8 binary64) z))))
(exp.f64 (log.f64 (*.f64 y (/.f64 #s(literal -8 binary64) z))))
(exp.f64 (.f64 (log.f64 (.f64 y (/.f64 #s(literal -8 binary64) z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 y (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z))) (/.f64 (pow.f64 (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z))))
(.f64 (fma.f64 x (.f64 y (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (fma.f64 x (.f64 y (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (*.f64 y (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 y (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 x (*.f64 y (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64))))
(.f64 (+.f64 (pow.f64 (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z) #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z) (-.f64 (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z) #s(literal 2 binary64))))))
(.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (.f64 (*.f64 x #s(literal -8 binary64)) y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z) (-.f64 (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (.f64 (*.f64 x #s(literal -8 binary64)) y) z) #s(literal 3 binary64)) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z)) (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z) (-.f64 (/.f64 (.f64 (*.f64 x #s(literal -8 binary64)) y) z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (*.f64 x #s(literal -8 binary64)) y) z)))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z) (-.f64 (/.f64 (.f64 (*.f64 x #s(literal -8 binary64)) y) z) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z) #s(literal 2 binary64)))
(pow.f64 (fma.f64 x (*.f64 y (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (*.f64 y (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 y (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 y (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (*.f64 y (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (*.f64 y (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 y (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 y (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 y (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64))))
(exp.f64 (log.f64 (fma.f64 x (*.f64 y (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 y (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 y (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64))
(fma.f64 (*.f64 y (/.f64 #s(literal -8 binary64) z)) x #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z)) (sqrt.f64 (/.f64 (.f64 (.f64 x #s(literal -8 binary64)) y) z)) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z y))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 (cbrt.f64 (/.f64 z y)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) y))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) y))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) y))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 y)))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(neg.f64 (/.f64 z (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 z) y))
(sqrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z y))))
(cbrt.f64 (pow.f64 (/.f64 z y) #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 z y)))
(log1p.f64 (expm1.f64 (/.f64 z y)))
(exp.f64 (log.f64 (/.f64 z y)))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z x))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z x))
(*.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) x))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) x))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)))
(pow.f64 (/.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x z) #s(literal -1 binary64))
(neg.f64 (/.f64 z (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 z) x))
(sqrt.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z x))))
(cbrt.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(log1p.f64 (expm1.f64 (/.f64 z x)))
(exp.f64 (log.f64 (/.f64 z x)))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal -8 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal -8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal -8 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal -8 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal -8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 64 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal -8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal -8 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal -8 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal -8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal -8 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal -8 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal -8 binary64))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 #s(literal -1/8 binary64) z (.f64 x (.f64 #s(literal 1/2 binary64) y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 #s(literal -1/8 binary64) z (.f64 x (.f64 #s(literal 1/2 binary64) y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 #s(literal -1/8 binary64) z (.f64 x (.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal 1/8 binary64) (/.f64 z y))))
(.f64 (fma.f64 x #s(literal -1/2 binary64) (.f64 z (/.f64 #s(literal 1/8 binary64) y))) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal 1/8 binary64) (/.f64 z y))))
(.f64 (fma.f64 x #s(literal -1/2 binary64) (.f64 z (/.f64 #s(literal 1/8 binary64) y))) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal 1/8 binary64) (/.f64 z y))))
(.f64 (fma.f64 x #s(literal -1/2 binary64) (.f64 z (/.f64 #s(literal 1/8 binary64) y))) (neg.f64 y))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 #s(literal -1/8 binary64) z (.f64 x (.f64 #s(literal 1/2 binary64) y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 #s(literal -1/8 binary64) z (.f64 x (.f64 #s(literal 1/2 binary64) y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 #s(literal -1/8 binary64) z (.f64 x (.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(.f64 z (fma.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 x z) #s(literal -1/8 binary64)))
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(.f64 z (fma.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 x z) #s(literal -1/8 binary64)))
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(.f64 z (fma.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 x z) #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))
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(sqrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(fabs.f64 (/.f64 z y))
(log.f64 (exp.f64 (/.f64 z y)))
(/.f64 z y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z y))))
(/.f64 z y)
(cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)))
(/.f64 z y)
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 z y)
(expm1.f64 (log1p.f64 (/.f64 z y)))
(log1p.f64 (expm1.f64 (/.f64 z y)))
(/.f64 z y)
(exp.f64 (log.f64 (/.f64 z y)))
(/.f64 z y)
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1 binary64)))
(/.f64 z y)
(-.f64 (exp.f64 (log1p.f64 (/.f64 z x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(*.f64 z (/.f64 #s(literal 1 binary64) x))
(/.f64 z x)
(*.f64 (/.f64 z x) #s(literal 1 binary64))
(/.f64 z x)
(*.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 z x)
(*.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)))
(/.f64 z x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z x)))
(/.f64 z x)
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) x))
(/.f64 z x)
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(/.f64 z x)
(*.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)))
(/.f64 z x)
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) x))
(/.f64 z x)
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(/.f64 z x)
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 z x)
(*.f64 (/.f64 #s(literal 1 binary64) x) z)
(/.f64 z x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)))
(/.f64 (/.f64 z (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(/.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x))
(/.f64 z x)
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x))
(/.f64 z x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)))
(*.f64 (cbrt.f64 (/.f64 z x)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(/.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)))
(/.f64 (/.f64 z (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(pow.f64 (/.f64 z x) #s(literal 1 binary64))
(/.f64 z x)
(pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 3 binary64))
(/.f64 z x)
(pow.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 z x)
(pow.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))
(/.f64 z x)
(pow.f64 (/.f64 x z) #s(literal -1 binary64))
(/.f64 z x)
(neg.f64 (/.f64 z (neg.f64 x)))
(/.f64 z x)
(neg.f64 (/.f64 (neg.f64 z) x))
(/.f64 z x)
(sqrt.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)))
(fabs.f64 (/.f64 z x))
(log.f64 (exp.f64 (/.f64 z x)))
(/.f64 z x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z x))))
(/.f64 z x)
(cbrt.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)))
(/.f64 z x)
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 z x)
(expm1.f64 (log1p.f64 (/.f64 z x)))
(log1p.f64 (expm1.f64 (/.f64 z x)))
(/.f64 z x)
(exp.f64 (log.f64 (/.f64 z x)))
(/.f64 z x)
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64)))
(/.f64 z x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal -8 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal -8 binary64))))
(pow.f64 (*.f64 y #s(literal -8 binary64)) #s(literal 1 binary64))
(*.f64 y #s(literal -8 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal -8 binary64))) #s(literal 3 binary64))
(*.f64 y #s(literal -8 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal -8 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y #s(literal -8 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal -8 binary64))) #s(literal 2 binary64))
(*.f64 y #s(literal -8 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 64 binary64)))
(sqrt.f64 (pow.f64 (*.f64 y #s(literal -8 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal -8 binary64)))
(*.f64 y #s(literal -8 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal -8 binary64)))))
(*.f64 y #s(literal -8 binary64))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal -8 binary64)) #s(literal 3 binary64)))
(*.f64 y #s(literal -8 binary64))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal -8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal -8 binary64))))
(*.f64 y #s(literal -8 binary64))
(exp.f64 (log.f64 (*.f64 y #s(literal -8 binary64))))
(*.f64 y #s(literal -8 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal -8 binary64))) #s(literal 1 binary64)))
(*.f64 y #s(literal -8 binary64))

eval144.0ms (2.6%)

Compiler: Compiled 11250 to 2493 computations (77.8% saved)

prune136.0ms (2.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	665	1	666
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	666	6	672

Accuracy

100.0%

Counts

672 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
▶	85.8%	(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
✓	88.7%	(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
✓	88.6%	(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
✓	52.3%	(.f64 x (.f64 #s(literal 1/2 binary64) y))
✓	49.3%	(*.f64 #s(literal -1/8 binary64) z)

Compiler

Compiled 69 to 51 computations (26.1% saved)

localize194.0ms (3.5%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(*.f64 x (/.f64 y z))
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 y z)))
✓	cost-diff	0	(neg.f64 z)
✓	accuracy	100.0%	(+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 y z))))
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 y z)))
✓	accuracy	91.7%	(*.f64 x (/.f64 y z))
✓	accuracy	90.0%	(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))

Rules

1337×	`fma-define`
651×	`fma-neg`
580×	`distribute-rgt-in`
563×	`distribute-lft-in`
452×	`distribute-lft-neg-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	166
1	38	158
2	103	158
3	346	154
4	948	145
5	2066	145
6	4030	145
7	5660	145
8	6360	145
9	6666	145
10	6713	145
11	6758	145

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(neg.f64 z)
z
(+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 y z))))
#s(literal 1/8 binary64)
(.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 y z)))
#s(literal -1/2 binary64)
(*.f64 x (/.f64 y z))
x
(/.f64 y z)
y

Outputs
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 y z)) #s(literal 1/8 binary64)))
(.f64 z (neg.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 x z)) #s(literal 1/8 binary64))))
(.f64 z (fma.f64 (/.f64 y z) (.f64 x #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))
(fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(neg.f64 z)
z
(+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 y z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal 1/8 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 x z)) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 y z)))
(.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 x z)))
#s(literal -1/2 binary64)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
x
(/.f64 y z)
y

Results

28.0ms

256×

valid

Compiler

Compiled 47 to 12 computations (74.5% saved)

Precisions

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

ival-mult: 5.0ms (45.5% of total)

ival-div: 2.0ms (18.2% of total)

ival-add: 1.0ms (9.1% of total)

ival-neg: 1.0ms (9.1% of total)

const: 0.0ms (0% of total)

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

series66.0ms (1.2%)

Counts

6 → 156

Calls

Call 1

Inputs
#<alt (.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))>
#<alt (*.f64 x (/.f64 y z))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 y z)))>
#<alt (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 y z))))>
#<alt (neg.f64 z)>
#<alt (/.f64 y z)>

Outputs
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt #s(literal 1/8 binary64)>
#<alt (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))>
#<alt (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))>
#<alt (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y z)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y z)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y z)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt #s(literal 1/8 binary64)>
#<alt (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))>
#<alt (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))>
#<alt (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x z)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x z)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x z)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z)) z)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z)) z)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z)) z)>
#<alt #s(literal 1/8 binary64)>
#<alt (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))>
#<alt (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))>
#<alt (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))>
#<alt #s(literal 1/8 binary64)>
#<alt (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))>
#<alt (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))>
#<alt (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>

Calls

45 calls:

Time	Variable		Point	Expression
45.0ms	y	@	-inf	(* -1/2 (* x (/ y z)))
6.0ms	y	@	-inf	(* (neg z) (+ 1/8 (* -1/2 (* x (/ y z)))))
1.0ms	z	@	0	(* (neg z) (+ 1/8 (* -1/2 (* x (/ y z)))))
1.0ms	z	@	inf	(* (neg z) (+ 1/8 (* -1/2 (* x (/ y z)))))
1.0ms	x	@	-inf	(* (neg z) (+ 1/8 (* -1/2 (* x (/ y z)))))

rewrite396.0ms (7.1%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`log1p-expm1-u`
634×	`expm1-log1p-u`
580×	`log-prod`
431×	`prod-diff`
193×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	152
1	221	136
2	3232	136

Stop Event

1×	node limit

Counts

6 → 441

Calls

Call 1

Inputs
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(*.f64 x (/.f64 y z))
(.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 y z)))
(+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 y z))))
(neg.f64 z)
(/.f64 y z)

Outputs
(+.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z) #s(literal 1/8 binary64))) (fma.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) z (.f64 (/.f64 (.f64 x y) z) (*.f64 #s(literal -1/2 binary64) z))))
(+.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z) #s(literal 1/8 binary64))) (fma.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)) (.f64 (/.f64 (.f64 x y) z) (*.f64 #s(literal -1/2 binary64) z))))
(+.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z) #s(literal 1/8 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (/.f64 (.f64 x y) z) (.f64 #s(literal -1/2 binary64) z)))) (sqrt.f64 (.f64 (/.f64 (.f64 x y) z) (.f64 #s(literal -1/2 binary64) z))) (.f64 (/.f64 (.f64 x y) z) (*.f64 #s(literal -1/2 binary64) z))))
(+.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z) #s(literal 1/8 binary64))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) (sqrt.f64 z))) (.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) (sqrt.f64 z)) (.f64 (/.f64 (.f64 x y) z) (*.f64 #s(literal -1/2 binary64) z))))
(+.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z) #s(literal 1/8 binary64))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 z) (sqrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))))) (.f64 (sqrt.f64 z) (sqrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))) (.f64 (/.f64 (.f64 x y) z) (*.f64 #s(literal -1/2 binary64) z))))
(+.f64 #s(literal 0 binary64) (.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z) #s(literal 1/8 binary64))))
(+.f64 (.f64 z #s(literal 1/8 binary64)) (.f64 (/.f64 (.f64 x y) z) (.f64 #s(literal -1/2 binary64) z)))
(+.f64 (.f64 (/.f64 (.f64 x y) z) (.f64 #s(literal -1/2 binary64) z)) (.f64 z #s(literal 1/8 binary64)))
(+.f64 (.f64 (.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 (.f64 x y) z) (.f64 #s(literal -1/2 binary64) z)) #s(literal 1 binary64)))
(+.f64 (fma.f64 z #s(literal 1/8 binary64) (neg.f64 (.f64 (.f64 (/.f64 (.f64 x y) z) z) #s(literal -1/2 binary64)))) (fma.f64 (neg.f64 (.f64 (/.f64 (.f64 x y) z) z)) #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 (.f64 x y) z) z) #s(literal -1/2 binary64))))
(+.f64 (fma.f64 z #s(literal 1/8 binary64) (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 (.f64 x y) z)))) (fma.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) z)) (/.f64 (.f64 x y) z) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 (.f64 x y) z))))
(+.f64 (fma.f64 z #s(literal 1/8 binary64) (neg.f64 (.f64 (.f64 (/.f64 (.f64 x y) z) (.f64 #s(literal -1/2 binary64) z)) #s(literal 1 binary64)))) (fma.f64 (.f64 (/.f64 (.f64 x y) z) (.f64 #s(literal -1/2 binary64) z)) #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 x y) z) (*.f64 #s(literal -1/2 binary64) z)) #s(literal 1 binary64))))
(+.f64 (fma.f64 z #s(literal 1/8 binary64) (neg.f64 (.f64 (.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) z) (pow.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) z)) (pow.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) #s(literal 2 binary64)) (.f64 (.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) z) (pow.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 z #s(literal 1/8 binary64) (neg.f64 (.f64 (.f64 (cbrt.f64 z) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 z) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (.f64 (cbrt.f64 z) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 z #s(literal 1/8 binary64) (neg.f64 (.f64 (.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) z) (sqrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) z)) (sqrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) z) (sqrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z))))))
(+.f64 (fma.f64 z #s(literal 1/8 binary64) (neg.f64 (.f64 (.f64 (sqrt.f64 z) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) (sqrt.f64 z)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 z) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))) (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 z) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z))) (sqrt.f64 z))))
(+.f64 (fma.f64 z #s(literal 1/8 binary64) (neg.f64 (.f64 (.f64 (/.f64 (.f64 x y) z) (.f64 #s(literal -1/2 binary64) z)) #s(literal -1 binary64)))) (fma.f64 (.f64 (/.f64 (.f64 x y) z) (.f64 #s(literal -1/2 binary64) z)) #s(literal -1 binary64) (.f64 (.f64 (/.f64 (.f64 x y) z) (*.f64 #s(literal -1/2 binary64) z)) #s(literal -1 binary64))))
(+.f64 (fma.f64 z #s(literal 1/8 binary64) (neg.f64 (.f64 (.f64 (/.f64 y z) z) (.f64 #s(literal -1/2 binary64) x)))) (fma.f64 (neg.f64 (.f64 (/.f64 y z) z)) (.f64 #s(literal -1/2 binary64) x) (.f64 (.f64 (/.f64 y z) z) (.f64 #s(literal -1/2 binary64) x))))
(+.f64 (fma.f64 z #s(literal 1/8 binary64) (neg.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (.f64 x y) z) (.f64 #s(literal -1/2 binary64) z))) (.f64 (cbrt.f64 (.f64 (/.f64 (.f64 x y) z) (.f64 #s(literal -1/2 binary64) z))) (cbrt.f64 (.f64 (/.f64 (.f64 x y) z) (.f64 #s(literal -1/2 binary64) z))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (/.f64 (.f64 x y) z) (.f64 #s(literal -1/2 binary64) z)))) (.f64 (cbrt.f64 (.f64 (/.f64 (.f64 x y) z) (.f64 #s(literal -1/2 binary64) z))) (cbrt.f64 (.f64 (/.f64 (.f64 x y) z) (.f64 #s(literal -1/2 binary64) z)))) (.f64 (cbrt.f64 (.f64 (/.f64 (.f64 x y) z) (.f64 #s(literal -1/2 binary64) z))) (.f64 (cbrt.f64 (.f64 (/.f64 (.f64 x y) z) (.f64 #s(literal -1/2 binary64) z))) (cbrt.f64 (.f64 (/.f64 (.f64 x y) z) (.f64 #s(literal -1/2 binary64) z)))))))
(+.f64 (fma.f64 z #s(literal 1/8 binary64) (neg.f64 (.f64 (cbrt.f64 z) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (.f64 (cbrt.f64 z) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 z #s(literal 1/8 binary64) (neg.f64 (.f64 (sqrt.f64 z) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)) (sqrt.f64 z)) (.f64 (sqrt.f64 z) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) (sqrt.f64 z)))))
(+.f64 (fma.f64 z #s(literal 1/8 binary64) (neg.f64 (.f64 z (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)) #s(literal -1 binary64))))) (fma.f64 z (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)) #s(literal -1 binary64)) (.f64 z (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal -1 binary64)))))
(+.f64 (fma.f64 z #s(literal 1/8 binary64) (neg.f64 (.f64 (/.f64 (.f64 x y) z) (.f64 z #s(literal -1/2 binary64))))) (fma.f64 (neg.f64 (/.f64 (.f64 x y) z)) (.f64 z #s(literal -1/2 binary64)) (.f64 (/.f64 (.f64 x y) z) (.f64 z #s(literal -1/2 binary64)))))
(+.f64 (fma.f64 z #s(literal 1/8 binary64) (neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 z (/.f64 (.f64 x y) z))))) (fma.f64 #s(literal 1/2 binary64) (.f64 z (/.f64 (.f64 x y) z)) (.f64 #s(literal -1/2 binary64) (.f64 z (/.f64 (.f64 x y) z)))))
(+.f64 (fma.f64 z #s(literal 1/8 binary64) (neg.f64 (.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) (.f64 z (pow.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))) (.f64 z (pow.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) #s(literal 2 binary64))) (.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) (.f64 z (pow.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z))) #s(literal 2 binary64))))))
(+.f64 (fma.f64 z #s(literal 1/8 binary64) (neg.f64 (.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) (.f64 z (sqrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))))))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))) (.f64 z (sqrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))) (.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) (.f64 z (sqrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))))
(+.f64 (fma.f64 z #s(literal 1/8 binary64) (neg.f64 (.f64 (/.f64 y z) (.f64 z (.f64 #s(literal -1/2 binary64) x))))) (fma.f64 (/.f64 y z) (.f64 z (.f64 #s(literal -1/2 binary64) x)) (.f64 (/.f64 y z) (.f64 z (.f64 #s(literal -1/2 binary64) x)))))
(+.f64 (fma.f64 #s(literal 1/8 binary64) z (neg.f64 (.f64 (.f64 (/.f64 (.f64 x y) z) z) #s(literal -1/2 binary64)))) (fma.f64 (neg.f64 (.f64 (/.f64 (.f64 x y) z) z)) #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 (.f64 x y) z) z) #s(literal -1/2 binary64))))
(+.f64 (fma.f64 #s(literal 1/8 binary64) z (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 (.f64 x y) z)))) (fma.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) z)) (/.f64 (.f64 x y) z) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 (.f64 x y) z))))
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(-.f64 (/.f64 #s(literal 1/64 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z)))) (/.f64 (.f64 (pow.f64 (/.f64 (.f64 x y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z) #s(literal 1/8 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z) #s(literal 1/8 binary64)))
(.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z) #s(literal 1/8 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z) #s(literal 1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z) #s(literal 1/8 binary64))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64))))
(.f64 (fma.f64 (pow.f64 (/.f64 (.f64 x y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal -1/8 binary64)) #s(literal 1/64 binary64))))
(.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 (/.f64 (.f64 x y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z) #s(literal -1/8 binary64)) #s(literal 1/64 binary64)) (fma.f64 (pow.f64 (/.f64 (.f64 x y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/512 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))) (-.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 (/.f64 (.f64 x y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (.f64 x y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/512 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z) #s(literal -1/8 binary64)) #s(literal 1/64 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 (.f64 x y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/512 binary64)) (fma.f64 (pow.f64 (/.f64 (.f64 x y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 x y) z)))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 (/.f64 (.f64 x y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (.f64 x y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/512 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z) #s(literal -1/8 binary64)) #s(literal 1/64 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 (/.f64 (.f64 x y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (.f64 x y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/64 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z) #s(literal -1/8 binary64)))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64))))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64))
(fma.f64 x (*.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/8 binary64))
(fma.f64 (/.f64 y z) (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/8 binary64))
(fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1/2 binary64) #s(literal 1/8 binary64))
(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)) #s(literal 1 binary64) #s(literal 1/8 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)) #s(literal 1/8 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 x y) z)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 (*.f64 x y) z)) #s(literal -1/2 binary64)) #s(literal 1/8 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) (pow.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) #s(literal 2 binary64)) #s(literal 1/8 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) #s(literal 1/8 binary64))
(fma.f64 (sqrt.f64 (/.f64 (.f64 x y) z)) (.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) #s(literal -1/2 binary64)) #s(literal 1/8 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) (sqrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) #s(literal 1/8 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 y z) #s(literal 1/8 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y z)) x #s(literal 1/8 binary64))
(fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 (.f64 x y) z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (.f64 x y) z))) (sqrt.f64 (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1/8 binary64))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)) #s(literal 1/8 binary64))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)) #s(literal 1/8 binary64))
(+.f64 #s(literal 0 binary64) z)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 z)) (cbrt.f64 (exp.f64 z)))) (log.f64 (cbrt.f64 (exp.f64 z))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 z))) (log.f64 (sqrt.f64 (exp.f64 z))))
(-.f64 #s(literal 0 binary64) z)
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
z
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 y z))) (cbrt.f64 (exp.f64 (/.f64 y z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y z))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) z))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)))
(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))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(neg.f64 (/.f64 y z))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 y z))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.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))))
(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)))

simplify432.0ms (7.7%)

Algorithm

1×	egg-herbie

Rules

555×	`associate-r`
466×	`associate-l`
304×	`times-frac`
279×	`fma-undefine`
269×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1021	38383
1	2471	28162

Stop Event

1×	node limit

Counts

597 → 563

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)))))
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 x y) z)
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(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z) #s(literal 1/8 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z) #s(literal 1/8 binary64)))
(.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z) #s(literal 1/8 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z) #s(literal 1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z) #s(literal 1/8 binary64))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64))))
(.f64 (fma.f64 (pow.f64 (/.f64 (.f64 x y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal -1/8 binary64)) #s(literal 1/64 binary64))))
(.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 (/.f64 (.f64 x y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z) #s(literal -1/8 binary64)) #s(literal 1/64 binary64)) (fma.f64 (pow.f64 (/.f64 (.f64 x y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/512 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))) (-.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 (/.f64 (.f64 x y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (.f64 x y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/512 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z) #s(literal -1/8 binary64)) #s(literal 1/64 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 (.f64 x y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/512 binary64)) (fma.f64 (pow.f64 (/.f64 (.f64 x y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 x y) z)))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 (/.f64 (.f64 x y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (.f64 x y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/512 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z) #s(literal -1/8 binary64)) #s(literal 1/64 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 (/.f64 (.f64 x y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x y) z)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (.f64 x y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/64 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z) #s(literal -1/8 binary64)))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64))))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal 1/8 binary64))
(fma.f64 x (*.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal 1/8 binary64))
(fma.f64 (/.f64 y z) (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/8 binary64))
(fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1/2 binary64) #s(literal 1/8 binary64))
(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)) #s(literal 1 binary64) #s(literal 1/8 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)) #s(literal 1/8 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 x y) z)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 (*.f64 x y) z)) #s(literal -1/2 binary64)) #s(literal 1/8 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) (pow.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) #s(literal 2 binary64)) #s(literal 1/8 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) #s(literal 1/8 binary64))
(fma.f64 (sqrt.f64 (/.f64 (.f64 x y) z)) (.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) #s(literal -1/2 binary64)) #s(literal 1/8 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) (sqrt.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))) #s(literal 1/8 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 y z) #s(literal 1/8 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y z)) x #s(literal 1/8 binary64))
(fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 (.f64 x y) z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64))
(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (.f64 x y) z))) (sqrt.f64 (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1/8 binary64))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)) #s(literal 1/8 binary64))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)) #s(literal 1/8 binary64))
(+.f64 #s(literal 0 binary64) z)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 z)) (cbrt.f64 (exp.f64 z)))) (log.f64 (cbrt.f64 (exp.f64 z))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 z))) (log.f64 (sqrt.f64 (exp.f64 z))))
(-.f64 #s(literal 0 binary64) z)
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 y z))) (cbrt.f64 (exp.f64 (/.f64 y z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y z))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) z))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)))
(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))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(neg.f64 (/.f64 y z))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 y z))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.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))))
(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)))

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

eval74.0ms (1.3%)

Compiler: Compiled 16707 to 1713 computations (89.7% saved)

prune235.0ms (4.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	563	0	563
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	563	6	569

Accuracy

100.0%

Counts

569 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
✓	85.8%	(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
✓	88.7%	(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
✓	88.6%	(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
✓	52.3%	(.f64 x (.f64 #s(literal 1/2 binary64) y))
✓	49.3%	(*.f64 #s(literal -1/8 binary64) z)

Compiler

Compiled 144 to 93 computations (35.4% saved)

regimes40.0ms (0.7%)

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (/.f64 (*.f64 y #s(literal -8 binary64)) z))) #s(literal -16 binary64)) z)
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))

Outputs
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))

Calls

7 calls:

21.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
3.0ms	(/.f64 z #s(literal 8 binary64))
3.0ms	z
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
100.0%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
100.0%	1	`(*.f64 x y)`
100.0%	1	`(/.f64 z #s(literal 8 binary64))`

Compiler

Compiled 44 to 33 computations (25% saved)

regimes32.0ms (0.6%)

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (/.f64 (*.f64 y #s(literal -8 binary64)) z))) #s(literal -16 binary64)) z)

Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Calls

7 calls:

12.0ms	(/.f64 (*.f64 x y) #s(literal 2 binary64))
5.0ms	x
3.0ms	z
3.0ms	y
3.0ms	(/.f64 z #s(literal 8 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
100.0%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
100.0%	1	`(*.f64 x y)`
100.0%	1	`(/.f64 z #s(literal 8 binary64))`

Compiler

Compiled 44 to 33 computations (25% saved)

regimes5.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)
(.f64 x (.f64 #s(literal 1/2 binary64) y))

Outputs
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 x (.f64 #s(literal 1/2 binary64) y))

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
71.5%	3	`x`
75.2%	3	`y`
73.5%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)

Outputs
(*.f64 #s(literal -1/8 binary64) z)

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
49.3%	1	`x`
49.3%	1	`z`
49.3%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch27.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.456682159083453e+89	6.078823375138217e+90
12.0ms	-3.450924932341879e-124	-1.5647405427493242e-128

Results

17.0ms

240×

valid

Compiler

Compiled 258 to 209 computations (19% saved)

Precisions

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

ival-div: 3.0ms (43% of total)

ival-mult: 2.0ms (28.7% of total)

ival-sub: 1.0ms (14.3% of total)

const: 0.0ms (0% of total)

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

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative`
4×	`sub-neg`
4×	`+-commutative`
3×	`neg-sub0`
3×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	134
1	46	134
2	55	134
3	61	134
4	66	134
5	68	134

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(if (<=.f64 y #s(literal -7011739907936311/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 249999999999999991621028178865975012456296523155031375744918649327294938859344807671627776 binary64)) (.f64 #s(literal -1/8 binary64) z) (.f64 x (*.f64 #s(literal 1/2 binary64) y))))
(*.f64 #s(literal -1/8 binary64) z)

Outputs
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(if (<=.f64 y #s(literal -7011739907936311/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 249999999999999991621028178865975012456296523155031375744918649327294938859344807671627776 binary64)) (.f64 #s(literal -1/8 binary64) z) (.f64 x (*.f64 #s(literal 1/2 binary64) y))))
(if (or (<=.f64 y #s(literal -7011739907936311/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (not (<=.f64 y #s(literal 249999999999999991621028178865975012456296523155031375744918649327294938859344807671627776 binary64)))) (.f64 x (.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))

soundness452.0ms (8.1%)

Rules

661×	`fma-define`
501×	`fma-neg`
472×	`cancel-sign-sub-inv`
404×	`associate-*r/`
378×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	398
1	83	342
2	171	330
3	373	330
4	780	330
5	1448	330
6	2207	330
7	2262	330
8	2268	330
9	2268	330
0	486	12740
1	1064	12151
2	3285	11971

Stop Event

1×	done
1×	node limit
1×	saturated

Compiler

Compiled 119 to 60 computations (49.6% saved)

preprocess62.0ms (1.1%)

Remove: (sort x y)
Compiler: Compiled 192 to 132 computations (31.3% saved)

Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, D

analyze0.0ms (0%)

sample747.0ms (13.3%)

preprocess104.0ms (1.9%)

explain71.0ms (1.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize90.0ms (1.6%)

series22.0ms (0.4%)

rewrite255.0ms (4.5%)

simplify310.0ms (5.5%)

eval44.0ms (0.8%)

prune109.0ms (2%)

localize358.0ms (6.4%)

series447.0ms (8%)

rewrite284.0ms (5.1%)

simplify457.0ms (8.1%)

eval144.0ms (2.6%)

prune136.0ms (2.4%)

localize194.0ms (3.5%)

series66.0ms (1.2%)

rewrite396.0ms (7.1%)

simplify432.0ms (7.7%)

eval74.0ms (1.3%)

prune235.0ms (4.2%)

regimes40.0ms (0.7%)

regimes32.0ms (0.6%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch27.0ms (0.5%)

simplify5.0ms (0.1%)

soundness452.0ms (8.1%)

preprocess62.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	20	158
1	28	150
2	40	150
3	51	150
4	80	150
5	126	150
6	233	150
7	405	150
8	591	150
9	796	150
10	895	150
11	910	150
12	912	150

Iter	Nodes	Cost
0	20	158
1	28	150
2	40	150
3	51	150
4	80	150
5	126	150
6	233	150
7	405	150
8	591	150
9	796	150
10	895	150
11	910	150
12	912	150

Iter	Nodes	Cost
0	20	158
1	28	150
2	40	150
3	51	150
4	80	150
5	126	150
6	233	150
7	405	150
8	591	150
9	796	150
10	895	150
11	910	150
12	912	150