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)

sample828.0ms (20.9%)

Results

596.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 324.0ms

ival-div: 169.0ms (52.2% of total)

ival-mult: 87.0ms (26.9% of total)

ival-sub: 50.0ms (15.5% of total)

const: 15.0ms (4.6% of total)

backward-pass: 2.0ms (0.6% of total)

Bogosity

preprocess111.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

661×	`fma-define`
378×	`fmm-def`
82×	`distribute-lft-neg-in`
79×	`unsub-neg`
78×	`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	1446	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 z (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(literal -1/8 binary64)))

Symmetry

(sort x y)

explain100.0ms (2.5%)

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

45.0ms

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: 7.0ms (36.6% of total)

ival-mult: 7.0ms (36.6% of total)

ival-sub: 4.0ms (20.9% 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)

simplify43.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 7 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))

Rules

212×	`fma-define`
147×	`fmm-def`
44×	`distribute-lft-neg-in`
31×	`cancel-sign-sub-inv`
28×	`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)

localize57.0ms (1.4%)

Localize:

Found 7 expressions of interest:

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

Results

37.0ms

256×

valid

Compiler

Compiled 49 to 15 computations (69.4% saved)

Precisions

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

ival-div: 7.0ms (44.9% of total)

ival-mult: 4.0ms (25.6% of total)

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

ival-add: 1.0ms (6.4% of total)

const: 1.0ms (6.4% of total)

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

series13.0ms (0.3%)

Counts

7 → 132

Calls

Call 1

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

Outputs
#<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 1/8 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 1/2 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 (.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)))))>
#<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)>

Calls

39 calls:

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

rewrite290.0ms (7.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`log1p-expm1-u`
1078×	`expm1-log1p-u`
244×	`fma-define`
176×	`log1p-undefine`
144×	`fmm-def`

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

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

simplify191.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

484×	`fmm-def`
469×	`cancel-sign-sub-inv`
387×	`associate-*r/`
327×	`distribute-lft-neg-in`
319×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	487	12856
1	1067	12267
2	3265	12087

Stop Event

1×	node limit

Counts

472 → 324

Calls

Call 1

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

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

eval55.0ms (1.4%)

Compiler: Compiled 4675 to 795 computations (83% saved)

prune126.0ms (3.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	322	2	324
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	322	4	326

Accuracy

100.0%

Counts

326 → 4

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)))
▶	50.2%	(*.f64 z #s(literal -1/8 binary64))
▶	88.6%	(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))

Compiler

Compiled 43 to 32 computations (25.6% saved)

simplify158.0ms (4%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z #s(literal -1/8 binary64))
✓	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))

Rules

900×	`associate-/r/`
765×	`cube-prod`
686×	`fma-define`
452×	`cube-div`
410×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	140
1	31	140
2	61	140
3	97	131
4	123	131
5	201	131
6	396	131
7	1440	131
8	2435	131
9	2593	131
10	2715	131
11	2839	131
12	3036	131
13	3289	131
14	5423	131
15	6701	131
16	7393	131
17	7835	131

Stop Event

1×	node limit

Calls

Call 1

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

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

localize40.0ms (1%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z #s(literal -1/8 binary64))
✓	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)))

Results

27.0ms

256×

valid

Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions

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

ival-mult: 7.0ms (62.7% of total)

ival-div: 3.0ms (26.9% of total)

ival-add: 1.0ms (9% of total)

const: 0.0ms (0% of total)

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

series18.0ms (0.4%)

Counts

6 → 69

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
2.0ms	z	@	-inf	(* -1/8 (/ z x))
1.0ms	z	@	0	(* -1/8 (/ z x))
1.0ms	x	@	inf	(* -1/8 (/ z x))
1.0ms	z	@	inf	(* -1/8 (/ z x))

rewrite136.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

692×	`log1p-expm1-u`
692×	`expm1-log1p-u`
621×	`log-prod`
456×	`fma-define`
191×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	121
1	214	121
2	3078	121

Stop Event

1×	node limit

Counts

6 → 237

Calls

Call 1

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

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

simplify255.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

472×	`cancel-sign-sub-inv`
427×	`distribute-lft-neg-in`
404×	`distribute-rgt-neg-in`
332×	`fmm-def`
292×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	563	9729
1	1244	9570
2	3946	9378

Stop Event

1×	node limit

Counts

306 → 314

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

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

eval165.0ms (4.2%)

Compiler: Compiled 5264 to 1042 computations (80.2% saved)

prune47.0ms (1.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	313	1	314
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	313	5	318

Accuracy

100.0%

Counts

318 → 5

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)))
▶	51.9%	(.f64 (.f64 #s(literal 1/2 binary64) x) y)
✓	50.2%	(*.f64 z #s(literal -1/8 binary64))
✓	88.6%	(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))

Compiler

Compiled 51 to 38 computations (25.5% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) x) y)

Rules

5×	`*-commutative`
3×	`associate-r`
3×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	14	38
2	21	38
3	23	38

Stop Event

1×

saturated

Calls

Call 1

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

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

localize309.0ms (7.8%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) x) y)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)

Results

14.0ms

256×

valid

Compiler

Compiled 15 to 7 computations (53.3% saved)

Precisions

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

ival-mult: 4.0ms (91.7% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

2 → 24

Calls

Call 1

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

Outputs
#<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))>

Calls

9 calls:

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

rewrite67.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

397×	`unpow-prod-down`
364×	`log1p-expm1-u`
364×	`expm1-log1p-u`
347×	`add-exp-log`
333×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	88	29
2	1012	29

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

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

simplify90.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

736×	`fma-define`
627×	`fmm-def`
386×	`associate-r`
373×	`distribute-lft-out`
326×	`exp-sum`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	1338
1	208	1338
2	397	1338
3	888	1338
4	2393	1338
5	4953	1338

Stop Event

1×	node limit

Counts

66 → 55

Calls

Call 1

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

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

eval7.0ms (0.2%)

Compiler: Compiled 537 to 171 computations (68.2% saved)

prune11.0ms (0.3%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	55	5	60

Accuracy

100.0%

Counts

60 → 5

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)))
✓	51.9%	(.f64 (.f64 #s(literal 1/2 binary64) x) y)
✓	50.2%	(*.f64 z #s(literal -1/8 binary64))
✓	88.6%	(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))

Compiler

Compiled 90 to 61 computations (32.2% saved)

regimes58.0ms (1.5%)

Counts

5 → 1

Calls

Call 1

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

43.0ms	y
3.0ms	(/.f64 z #s(literal 8 binary64))
2.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
2.0ms	z
2.0ms	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)

regimes15.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

2.0ms	x
2.0ms	(/.f64 z #s(literal 8 binary64))
2.0ms	(/.f64 (*.f64 x y) #s(literal 2 binary64))
2.0ms	z
2.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.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)

regimes13.0ms (0.3%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
74.2%	3	`x`
75.6%	3	`y`
73.8%	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 z #s(literal -1/8 binary64))

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

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
50.2%	1	`z`
50.2%	1	`x`
50.2%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch40.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	1.416852963480709e+139	4.117247306686169e+146
9.0ms	-9.664287610974452e-187	-2.2952129455906308e-187

Results

15.0ms

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 (41.2% of total)

ival-mult: 2.0ms (27.5% of total)

ival-sub: 1.0ms (13.7% 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 -4653939145124475/4898883310657342436947850401401639604522231782621865961233415550616320366316550245614411808808882209683752589725123921141977824503727074585042721378292777435812376133285876920625254286345394996247527424 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) y) (if (<=.f64 y #s(literal 14499999999999999484618702908098529717438720163057809842321520234330002673059233023779332222135028746133452159799748044503585076661029175296 binary64)) (.f64 z #s(literal -1/8 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 z #s(literal -1/8 binary64))

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 -4653939145124475/4898883310657342436947850401401639604522231782621865961233415550616320366316550245614411808808882209683752589725123921141977824503727074585042721378292777435812376133285876920625254286345394996247527424 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) y) (if (<=.f64 y #s(literal 14499999999999999484618702908098529717438720163057809842321520234330002673059233023779332222135028746133452159799748044503585076661029175296 binary64)) (.f64 z #s(literal -1/8 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(if (or (<=.f64 y #s(literal -4653939145124475/4898883310657342436947850401401639604522231782621865961233415550616320366316550245614411808808882209683752589725123921141977824503727074585042721378292777435812376133285876920625254286345394996247527424 binary64)) (not (<=.f64 y #s(literal 14499999999999999484618702908098529717438720163057809842321520234330002673059233023779332222135028746133452159799748044503585076661029175296 binary64)))) (.f64 y (.f64 x #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 z #s(literal -1/8 binary64))

soundness586.0ms (14.8%)

Rules

661×	`fma-define`
484×	`fmm-def`
472×	`cancel-sign-sub-inv`
469×	`cancel-sign-sub-inv`
427×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	487	12856
1	1067	12267
2	3265	12087
0	563	9729
1	1244	9570
2	3946	9378
0	41	398
1	83	342
2	171	330
3	373	330
4	780	330
5	1446	330
6	2207	330
7	2262	330
8	2268	330
9	2268	330

Stop Event

1×	done
1×	saturated
1×	node limit
1×	node limit

Compiler

Compiled 118 to 62 computations (47.5% saved)

preprocess104.0ms (2.6%)

Remove: (sort x y)
Compiler: Compiled 170 to 116 computations (31.8% saved)

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

analyze0.0ms (0%)

sample828.0ms (20.9%)

preprocess111.0ms (2.8%)

explain100.0ms (2.5%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify43.0ms (1.1%)

localize57.0ms (1.4%)

series13.0ms (0.3%)

rewrite290.0ms (7.3%)

simplify191.0ms (4.8%)

eval55.0ms (1.4%)

prune126.0ms (3.2%)

simplify158.0ms (4%)

localize40.0ms (1%)

series18.0ms (0.4%)

rewrite136.0ms (3.4%)

simplify255.0ms (6.5%)

eval165.0ms (4.2%)

prune47.0ms (1.2%)

simplify8.0ms (0.2%)

localize309.0ms (7.8%)

series1.0ms (0%)

rewrite67.0ms (1.7%)

simplify90.0ms (2.3%)

eval7.0ms (0.2%)

prune11.0ms (0.3%)

regimes58.0ms (1.5%)

regimes15.0ms (0.4%)

regimes13.0ms (0.3%)

regimes4.0ms (0.1%)

bsearch40.0ms (1%)

simplify5.0ms (0.1%)

soundness586.0ms (14.8%)

preprocess104.0ms (2.6%)

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