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)

sample1.0s (23.3%)

Results

774.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 452.0ms

ival-div: 175.0ms (38.7% of total)

ival-mult: 131.0ms (29% of total)

ival-sub: 128.0ms (28.3% of total)

const: 15.0ms (3.3% of total)

backward-pass: 3.0ms (0.7% of total)

Bogosity

preprocess181.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(sort x y)

explain367.0ms (8.5%)

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

92.0ms

512×

valid

Compiler

Compiled 70 to 29 computations (58.6% saved)

Precisions

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

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

ival-mult: 5.0ms (32.1% of total)

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

const: 1.0ms (6.4% 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)

simplify84.0ms (2%)

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

localize119.0ms (2.8%)

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

Results

105.0ms

256×

valid

Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-div: 77.0ms (89.9% of total)

ival-sub: 3.0ms (3.5% of total)

ival-mult: 3.0ms (3.5% of total)

ival-fma: 3.0ms (3.5% of total)

const: 1.0ms (1.2% of total)

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

series57.0ms (1.3%)

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)

rewrite361.0ms (8.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

7 → 340

Calls

Call 1

Inputs
(/.f64 (*.f64 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)))

simplify239.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

484×	`fma-neg`
469×	`cancel-sign-sub-inv`
387×	`associate-*r/`
327×	`distribute-lft-neg-in`
320×	`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 → 327

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

eval42.0ms (1%)

Compiler: Compiled 4706 to 800 computations (83% saved)

prune50.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	325	2	327
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	326	3	329

Accuracy

100.0%

Counts

329 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

▶

50.9%

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

▶

86.7%

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

Compiler

Compiled 32 to 24 computations (25% saved)

simplify159.0ms (3.7%)

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 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(*.f64 #s(literal -1/8 binary64) (/.f64 z y))

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

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

localize74.0ms (1.7%)

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) x)
✓	accuracy	100.0%	(*.f64 #s(literal -1/8 binary64) (/.f64 z y))
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (.f64 #s(literal 1/2 binary64) x))
✓	accuracy	86.8%	(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))

Results

56.0ms

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: 6.0ms (54.7% of total)

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

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

const: 1.0ms (9.1% of total)

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

series15.0ms (0.3%)

Counts

6 → 69

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite398.0ms (9.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

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

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

simplify284.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

460×	`cancel-sign-sub-inv`
415×	`distribute-lft-neg-in`
392×	`distribute-rgt-neg-in`
325×	`fma-neg`
283×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	562	9729
1	1232	9570
2	3890	9378

Stop Event

1×	node limit

Counts

306 → 326

Calls

Call 1

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

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

eval43.0ms (1%)

Compiler: Compiled 5494 to 1097 computations (80% saved)

prune45.0ms (1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	325	1	326
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	325	4	329

Accuracy

100.0%

Counts

329 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
▶	51.8%	(.f64 (.f64 #s(literal 1/2 binary64) x) y)
✓	50.9%	(*.f64 z #s(literal -1/8 binary64))
✓	86.7%	(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))

Compiler

Compiled 40 to 30 computations (25% saved)

simplify6.0ms (0.1%)

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

localize21.0ms (0.5%)

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

15.0ms

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 (94.2% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

1 → 24

Calls

Call 1

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

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

6 calls:

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

rewrite62.0ms (1.4%)

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	19
1	88	19
2	1012	19

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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)))

simplify87.0ms (2%)

Algorithm

1×	egg-herbie

Rules

567×	`div-sub`
395×	`distribute-lft-in`
381×	`distribute-rgt-in`
303×	`distribute-lft-out`
298×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	1005
1	123	1005
2	244	1005
3	577	1005
4	1317	1005
5	3910	1005
6	6236	1005

Stop Event

1×	node limit

Counts

45 → 35

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)))

Outputs
(.f64 #s(literal 1/2 binary64) (.f64 x y))
(.f64 x (.f64 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y) x))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) x))))
(+.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 (pow.f64 (sqrt.f64 (exp.f64 y)) x))) #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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))))))
(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 y #s(literal 1/2 binary64)))))) (sqrt.f64 (log.f64 (.f64 x (.f64 y #s(literal 1/2 binary64))))))
(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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.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 y #s(literal 1/2 binary64)))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 y (.f64 #s(literal 1/2 binary64) x))

eval7.0ms (0.2%)

Compiler: Compiled 549 to 171 computations (68.9% saved)

prune9.0ms (0.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	54	4	58

Accuracy

100.0%

Counts

58 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
✓	51.8%	(.f64 (.f64 #s(literal 1/2 binary64) x) y)
✓	50.9%	(*.f64 z #s(literal -1/8 binary64))
✓	86.7%	(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))

Compiler

Compiled 79 to 52 computations (34.2% saved)

regimes33.0ms (0.8%)

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

18.0ms	(*.f64 x y)
3.0ms	x
2.0ms	(/.f64 z #s(literal 8 binary64))
2.0ms	z
2.0ms	y

Results

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

regimes16.0ms (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 y (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))

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

Calls

7 calls:

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

regimes5.0ms (0.1%)

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:

2.0ms	z
2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
79.4%	3	`x`
76.0%	3	`y`
71.9%	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	y
1.0ms	x
1.0ms	z

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch24.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.2886186828128206e-62	2.8032720555182414e-60
10.0ms	-253813272319451.22	-17478403307108.816

Results

13.0ms

208×

valid

Compiler

Compiled 226 to 183 computations (19% saved)

Precisions

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

ival-div: 3.0ms (49.3% of total)

ival-mult: 2.0ms (32.9% of total)

ival-sub: 1.0ms (16.4% of total)

const: 0.0ms (0% of total)

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

simplify4.0ms (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 x #s(literal -110000000000000 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) y) (if (<=.f64 x #s(literal 633237988016573/226156424291633194186662080095093570025917938800079226639565593765455331328 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 x #s(literal -110000000000000 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) y) (if (<=.f64 x #s(literal 633237988016573/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (.f64 z #s(literal -1/8 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(if (or (<=.f64 x #s(literal -110000000000000 binary64)) (not (<=.f64 x #s(literal 633237988016573/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)))) (.f64 y (.f64 x #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 z #s(literal -1/8 binary64))

soundness473.0ms (11%)

Rules

661×	`fma-define`
484×	`fma-neg`
469×	`cancel-sign-sub-inv`
460×	`cancel-sign-sub-inv`
415×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	562	9729
1	1232	9570
2	3890	9378
0	41	398
1	83	342
2	171	330
3	373	330
4	780	330
5	1448	330
6	2207	330
7	2262	330
8	2268	330
9	2268	330
0	487	12856
1	1067	12267
2	3265	12087

Stop Event

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

Compiler

Compiled 118 to 62 computations (47.5% saved)

preprocess33.0ms (0.8%)

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%)

sample1.0s (23.3%)

preprocess181.0ms (4.2%)

explain367.0ms (8.5%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify84.0ms (2%)

localize119.0ms (2.8%)

series57.0ms (1.3%)

rewrite361.0ms (8.4%)

simplify239.0ms (5.5%)

eval42.0ms (1%)

prune50.0ms (1.2%)

simplify159.0ms (3.7%)

localize74.0ms (1.7%)

series15.0ms (0.3%)

rewrite398.0ms (9.2%)

simplify284.0ms (6.6%)

eval43.0ms (1%)

prune45.0ms (1%)

simplify6.0ms (0.1%)

localize21.0ms (0.5%)

series1.0ms (0%)

rewrite62.0ms (1.4%)

simplify87.0ms (2%)

eval7.0ms (0.2%)

prune9.0ms (0.2%)

regimes33.0ms (0.8%)

regimes16.0ms (0.4%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch24.0ms (0.6%)

simplify4.0ms (0.1%)

soundness473.0ms (11%)

preprocess33.0ms (0.8%)

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