Metrics for Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1

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 9 computations (30.8% saved)

Precisions

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

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)

sample1.9s (39.9%)

Results

1.4s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 493.0ms

ival-mult: 438.0ms (88.9% of total)

ival-sub: 40.0ms (8.1% of total)

const: 12.0ms (2.4% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess168.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

425×	`fma-define`
210×	`fma-neg`
96×	`distribute-lft-neg-in`
94×	`associate-r`
94×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	435
1	116	375
2	284	375
3	713	375
4	1184	375
5	1616	375
6	1710	375
7	1718	375
8	1718	375

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(neg.f64 (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (*.f64 y #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(-.f64 (.f64 y y) (.f64 (*.f64 x #s(literal 4 binary64)) z))
(-.f64 (.f64 z z) (.f64 (*.f64 y #s(literal 4 binary64)) x))
(-.f64 (.f64 x x) (.f64 (*.f64 z #s(literal 4 binary64)) y))

Outputs
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
(-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
(-.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z))
(-.f64 (.f64 x x) (.f64 z (neg.f64 (*.f64 y #s(literal 4 binary64)))))
(fma.f64 x x (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) z))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(-.f64 (.f64 x x) (.f64 z (neg.f64 (*.f64 y #s(literal 4 binary64)))))
(fma.f64 x x (.f64 y (.f64 #s(literal 4 binary64) z)))
(fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) z))
(neg.f64 (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (*.f64 y #s(literal 4 binary64)) z)))
(neg.f64 (fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(neg.f64 (fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64)))))
(-.f64 (.f64 (.f64 y #s(literal 4 binary64)) z) (*.f64 x x))
(neg.f64 (-.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 (.f64 x x) (.f64 z (neg.f64 (*.f64 y #s(literal 4 binary64))))))
(neg.f64 (fma.f64 x x (.f64 y (.f64 #s(literal 4 binary64) z))))
(-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (*.f64 x x))
(neg.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(neg.f64 (-.f64 (.f64 x x) (.f64 z (neg.f64 (*.f64 y #s(literal 4 binary64))))))
(neg.f64 (fma.f64 x x (.f64 y (.f64 #s(literal 4 binary64) z))))
(-.f64 (.f64 y (.f64 z #s(literal -4 binary64))) (*.f64 x x))
(-.f64 (.f64 y y) (.f64 (*.f64 x #s(literal 4 binary64)) z))
(-.f64 (.f64 y y) (.f64 z (*.f64 x #s(literal 4 binary64))))
(fma.f64 y y (.f64 x (.f64 z #s(literal -4 binary64))))
(fma.f64 x (.f64 z #s(literal -4 binary64)) (.f64 y y))
(-.f64 (.f64 z z) (.f64 (*.f64 y #s(literal 4 binary64)) x))
(-.f64 (.f64 z z) (.f64 y (*.f64 x #s(literal 4 binary64))))
(fma.f64 z z (.f64 x (.f64 y #s(literal -4 binary64))))
(fma.f64 y (.f64 x #s(literal -4 binary64)) (.f64 z z))
(-.f64 (.f64 x x) (.f64 (*.f64 z #s(literal 4 binary64)) y))
(fma.f64 x x (.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))

Symmetry

(abs x)

(sort y z)

explain71.0ms (1.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
4	-	-	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
0	-	-	`x`
0	-	-	`(*.f64 x x)`
0	-	-	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`z`
0	-	-	`(*.f64 y #s(literal 4 binary64))`
0	-	-	`y`

Results

43.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 12.0ms (71.6% of total)

ival-sub: 3.0ms (17.9% of total)

const: 1.0ms (6% of total)

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

eval0.0ms (0%)

Compiler: Compiled 20 to 12 computations (40% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
▶	98.4%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize85.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z #s(literal -4 binary64))
✓	cost-diff	0	(.f64 y (.f64 z #s(literal -4 binary64)))
✓	cost-diff	0	(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
✓	cost-diff	-6272	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
✓	cost-diff	0	(*.f64 y #s(literal 4 binary64))
✓	cost-diff	0	(.f64 (.f64 y #s(literal 4 binary64)) z)
✓	cost-diff	0	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 z #s(literal -4 binary64))
✓	accuracy	100.0%	(.f64 y (.f64 z #s(literal -4 binary64)))
✓	accuracy	98.8%	(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
✓	accuracy	100.0%	(.f64 (.f64 y #s(literal 4 binary64)) z)
✓	accuracy	100.0%	(*.f64 y #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	98.7%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Rules

336×	`fma-define`
126×	`fma-neg`
48×	`distribute-lft-neg-in`
46×	`cancel-sign-sub-inv`
28×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	171
1	35	163
2	67	163
3	117	163
4	171	163
5	241	163
6	348	163
7	450	163
8	592	163
9	840	163
10	930	163
11	942	163

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z
(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
x
(.f64 y (.f64 z #s(literal -4 binary64)))
y
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)

Outputs
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (.f64 x x) (.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
(fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 x x))
(fma.f64 z (.f64 y #s(literal -4 binary64)) (.f64 x x))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) z)
(.f64 y (.f64 #s(literal 4 binary64) z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z
(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
(-.f64 (.f64 x x) (.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 x x))
(fma.f64 z (.f64 y #s(literal -4 binary64)) (.f64 x x))
x
(.f64 y (.f64 z #s(literal -4 binary64)))
y
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)

Results

35.0ms

256×

valid

Compiler

Compiled 48 to 13 computations (72.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 12.0ms (70.7% of total)

ival-fma: 3.0ms (17.7% of total)

ival-sub: 1.0ms (5.9% of total)

const: 1.0ms (5.9% of total)

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

series22.0ms (0.5%)

Counts

7 → 156

Calls

Call 1

Inputs
#<alt (-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))>
#<alt (*.f64 x x)>
#<alt (*.f64 y #s(literal 4 binary64))>
#<alt (.f64 (.f64 y #s(literal 4 binary64)) z)>
#<alt (fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))>
#<alt (.f64 y (.f64 z #s(literal -4 binary64)))>
#<alt (*.f64 z #s(literal -4 binary64))>

Outputs
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 #s(literal 4 binary64) z)))>
#<alt (.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 #s(literal 4 binary64) z)))>
#<alt (.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 #s(literal 4 binary64) z)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal -4 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal -4 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal -4 binary64) z))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 #s(literal 4 binary64) y)))>
#<alt (.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 #s(literal 4 binary64) y)))>
#<alt (.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 #s(literal 4 binary64) y)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal -4 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal -4 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal -4 binary64) y))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal 4 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal 4 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal 4 binary64) z))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal 4 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal 4 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal 4 binary64) y))))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>

Calls

39 calls:

Time	Variable		Point	Expression
7.0ms	y	@	0	(* y 4)
1.0ms	y	@	inf	(- (* x x) (* (* y 4) z))
1.0ms	x	@	0	(- (* x x) (* (* y 4) z))
1.0ms	x	@	inf	(- (* x x) (* (* y 4) z))
1.0ms	y	@	0	(- (* x x) (* (* y 4) z))

rewrite287.0ms (6%)

Algorithm

1×	batch-egg-rewrite

Rules

996×	`log1p-expm1-u`
996×	`expm1-log1p-u`
585×	`log-prod`
422×	`fma-define`
180×	`expm1-undefine`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	136
1	235	134
2	3090	128

Stop Event

1×	node limit

Counts

7 → 311

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 x x)
(*.f64 y #s(literal 4 binary64))
(.f64 (.f64 y #s(literal 4 binary64)) z)
(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
(.f64 y (.f64 z #s(literal -4 binary64)))
(*.f64 z #s(literal -4 binary64))

Outputs
(+.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 z (.f64 y #s(literal -4 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (.f64 z #s(literal -4 binary64)) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (.f64 #s(literal 4 binary64) z)) y (.f64 #s(literal 4 binary64) (.f64 y z))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) (.f64 y z)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) (.f64 y z))) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 1 binary64)))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (*.f64 y z)))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 z (.f64 y #s(literal -4 binary64))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(.f64 (cbrt.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (hypot.f64 x (sqrt.f64 (.f64 z (.f64 y #s(literal -4 binary64))))) (hypot.f64 x (sqrt.f64 (.f64 z (*.f64 y #s(literal -4 binary64))))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 #s(literal 4 binary64) (.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (+.f64 x (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 y z)))) (-.f64 x (sqrt.f64 (.f64 #s(literal 4 binary64) (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 #s(literal 4 binary64) (.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 y z) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))) (.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (*.f64 y z)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 z (*.f64 y #s(literal -4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))))) (-.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 z (.f64 y #s(literal -4 binary64)))))
(pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 (.f64 z (.f64 y #s(literal -4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal -4 binary64)))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (exp.f64 (.f64 z (*.f64 y #s(literal -4 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal -4 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (exp.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (*.f64 y z))))))
(log.f64 (.f64 (exp.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))) (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (.f64 (exp.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(log.f64 (.f64 (exp.f64 (.f64 z (*.f64 y #s(literal -4 binary64)))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (.f64 (exp.f64 (.f64 z (*.f64 y #s(literal -4 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal -4 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal -4 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 4 binary64) (.f64 y z))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 4 binary64) (.f64 y z))))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x x (.f64 z (.f64 y #s(literal -4 binary64))))
(fma.f64 x x (fma.f64 y (.f64 z #s(literal -4 binary64)) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))))
(fma.f64 x x (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (*.f64 y z))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 z (.f64 y #s(literal -4 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal -4 binary64)) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (*.f64 y z))))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (neg.f64 (*.f64 #s(literal 4 binary64) z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))))
(fma.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (fma.f64 (neg.f64 (.f64 #s(literal 4 binary64) z)) y (.f64 #s(literal 4 binary64) (.f64 y z))))
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(log.f64 (.f64 (exp.f64 (.f64 z (*.f64 y #s(literal -4 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal -4 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal -4 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 4 binary64) (.f64 y z))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 4 binary64) (.f64 y z))))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 z (.f64 y #s(literal -4 binary64))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 z (.f64 y #s(literal -4 binary64))))) (cbrt.f64 (exp.f64 (.f64 z (.f64 y #s(literal -4 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 z (*.f64 y #s(literal -4 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 z (.f64 y #s(literal -4 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 z (.f64 y #s(literal -4 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 z (.f64 y #s(literal -4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) (.f64 y z)))
(pow.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 z (.f64 y #s(literal -4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 z (.f64 y #s(literal -4 binary64)))) #s(literal 2 binary64))
(neg.f64 (.f64 #s(literal 4 binary64) (.f64 y z)))
(sqrt.f64 (pow.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (.f64 z (.f64 y #s(literal -4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (.f64 y #s(literal -4 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 4 binary64) (.f64 y z))))))
(cbrt.f64 (pow.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 z #s(literal -4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 z (.f64 y #s(literal -4 binary64)))))
(log1p.f64 (expm1.f64 (.f64 z (.f64 y #s(literal -4 binary64)))))
(exp.f64 (log.f64 (.f64 z (.f64 y #s(literal -4 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z #s(literal -4 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal -4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal -4 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal -4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)))

simplify291.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

741×	`times-frac`
568×	`fma-neg`
251×	`distribute-lft-neg-in`
217×	`distribute-rgt-neg-in`
178×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	520	15490
1	1090	15240
2	3338	14628

Stop Event

1×	node limit

Counts

467 → 308

Calls

Call 1

Inputs
(.f64 #s(literal -4 binary64) (.f64 y z))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 #s(literal 4 binary64) z)))
(.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 #s(literal 4 binary64) z)))
(.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (.f64 #s(literal 4 binary64) z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal -4 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal -4 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal -4 binary64) z))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 #s(literal 4 binary64) y)))
(.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 #s(literal 4 binary64) y)))
(.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 #s(literal 4 binary64) y)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal -4 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal -4 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal -4 binary64) y))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal 4 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal 4 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal 4 binary64) z))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal 4 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal 4 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal 4 binary64) y))))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(+.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 z (.f64 y #s(literal -4 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (.f64 z #s(literal -4 binary64)) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (.f64 #s(literal 4 binary64) z)) y (.f64 #s(literal 4 binary64) (.f64 y z))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) (.f64 y z)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) (.f64 y z))) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 1 binary64)))
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(exp.f64 (log.f64 (*.f64 y #s(literal 4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) (.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 4 binary64) (.f64 y z)))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) (.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 4 binary64) (.f64 y z)))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 4 binary64) (.f64 y z))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 4 binary64) (.f64 y z))))
(exp.f64 (log.f64 (.f64 #s(literal 4 binary64) (.f64 y z))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 z (.f64 y #s(literal -4 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (.f64 z #s(literal -4 binary64)) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (.f64 #s(literal 4 binary64) z)) y (.f64 #s(literal 4 binary64) (.f64 y z))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) (.f64 y z)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) (.f64 y z))) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 1 binary64)))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (*.f64 y z)))))
(+.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 z (.f64 y #s(literal -4 binary64))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (*.f64 y z)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 #s(literal 4 binary64) (.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 #s(literal 4 binary64) (.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 y z) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(.f64 (cbrt.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (hypot.f64 x (sqrt.f64 (.f64 z (.f64 y #s(literal -4 binary64))))) (hypot.f64 x (sqrt.f64 (.f64 z (*.f64 y #s(literal -4 binary64))))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 #s(literal 4 binary64) (.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (+.f64 x (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 y z)))) (-.f64 x (sqrt.f64 (.f64 #s(literal 4 binary64) (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 #s(literal 4 binary64) (.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 y z) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))) (.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (*.f64 y z)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 z (*.f64 y #s(literal -4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z))))) (-.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 z (.f64 y #s(literal -4 binary64)))))
(pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 (.f64 z (.f64 y #s(literal -4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal -4 binary64)))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (exp.f64 (.f64 z (*.f64 y #s(literal -4 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal -4 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (exp.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (*.f64 y z))))))
(log.f64 (.f64 (exp.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))) (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (.f64 (exp.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(log.f64 (.f64 (exp.f64 (.f64 z (*.f64 y #s(literal -4 binary64)))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (.f64 (exp.f64 (.f64 z (*.f64 y #s(literal -4 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal -4 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (*.f64 y #s(literal -4 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 4 binary64) (.f64 y z))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 4 binary64) (.f64 y z))))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 y (.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 z (.f64 y #s(literal -4 binary64))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 z (.f64 y #s(literal -4 binary64))))) (cbrt.f64 (exp.f64 (.f64 z (.f64 y #s(literal -4 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 z (*.f64 y #s(literal -4 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 z (.f64 y #s(literal -4 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 z (.f64 y #s(literal -4 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 z (.f64 y #s(literal -4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal 4 binary64) (.f64 y z)))
(pow.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 z (.f64 y #s(literal -4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 z (.f64 y #s(literal -4 binary64)))) #s(literal 2 binary64))
(neg.f64 (.f64 #s(literal 4 binary64) (.f64 y z)))
(sqrt.f64 (pow.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (.f64 z (.f64 y #s(literal -4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 z (.f64 y #s(literal -4 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 4 binary64) (.f64 y z))))))
(cbrt.f64 (pow.f64 (.f64 z (.f64 y #s(literal -4 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 z #s(literal -4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 z (.f64 y #s(literal -4 binary64)))))
(log1p.f64 (expm1.f64 (.f64 z (.f64 y #s(literal -4 binary64)))))
(exp.f64 (log.f64 (.f64 z (.f64 y #s(literal -4 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z #s(literal -4 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal -4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal -4 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal -4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)))

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

eval41.0ms (0.9%)

Compiler: Compiled 5695 to 781 computations (86.3% saved)

prune57.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	304	4	308
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	304	6	310

Accuracy

100.0%

Counts

310 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
✓	98.4%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
▶	95.2%	(.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 #s(literal 4 binary64) y)))
▶	5.8%	(.f64 y (.f64 z #s(literal 4 binary64)))
▶	54.1%	(.f64 y (.f64 #s(literal -4 binary64) z))
▶	54.1%	(.f64 #s(literal -4 binary64) (.f64 y z))

Compiler

Compiled 61 to 43 computations (29.5% saved)

localize441.0ms (9.2%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6144	(.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 #s(literal 4 binary64) y)))
✓	cost-diff	0	(*.f64 #s(literal 4 binary64) y)
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
✓	cost-diff	0	(*.f64 z #s(literal 4 binary64))
✓	cost-diff	0	(.f64 y (.f64 z #s(literal 4 binary64)))
✓	cost-diff	0	(*.f64 #s(literal -4 binary64) z)
✓	cost-diff	0	(.f64 y (.f64 #s(literal -4 binary64) z))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(.f64 #s(literal -4 binary64) (.f64 y z))
✓	accuracy	100.0%	(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) y)
✓	accuracy	95.6%	(.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 #s(literal 4 binary64) y)))
✓	accuracy	89.9%	(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
✓	accuracy	100.0%	(*.f64 z #s(literal 4 binary64))
✓	accuracy	100.0%	(.f64 y (.f64 z #s(literal 4 binary64)))
✓	accuracy	100.0%	(.f64 y (.f64 #s(literal -4 binary64) z))
✓	accuracy	100.0%	(*.f64 #s(literal -4 binary64) z)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(.f64 #s(literal -4 binary64) (.f64 y z))

Rules

1058×	`fma-neg`
896×	`div-sub`
630×	`fma-define`
469×	`times-frac`
459×	`unsub-neg`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	23	247
1	42	247
2	63	239
3	102	239
4	186	236
5	270	230
6	462	230
7	871	230
8	2605	230
9	4008	230
10	4984	230
11	5620	230
12	5727	230
13	5802	230
14	7100	230
15	7467	230
16	7475	230
17	7491	230
18	7499	230
19	7507	230
20	7677	230

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 #s(literal -4 binary64) (.f64 y z))
#s(literal -4 binary64)
(*.f64 y z)
y
z
(.f64 y (.f64 #s(literal -4 binary64) z))
y
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
(.f64 y (.f64 z #s(literal 4 binary64)))
y
(*.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
(.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 #s(literal 4 binary64) y)))
z
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y

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

Results

96.0ms

256×

valid

Compiler

Compiled 73 to 18 computations (75.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 66.0ms (90.8% of total)

ival-pow: 3.0ms (4.1% of total)

ival-div: 2.0ms (2.8% of total)

ival-sub: 1.0ms (1.4% of total)

const: 1.0ms (1.4% of total)

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

series18.0ms (0.4%)

Counts

11 → 123

Calls

Call 1

Inputs
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (.f64 y (.f64 #s(literal -4 binary64) z))>
#<alt (.f64 y (.f64 z #s(literal 4 binary64)))>
#<alt (*.f64 z #s(literal 4 binary64))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 #s(literal 4 binary64) y)))>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))>
#<alt (pow.f64 x #s(literal 2 binary64))>

Outputs
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 4 binary64) (.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal 4 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal 4 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal 4 binary64) y))))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal 4 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal 4 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64))) z)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64))) z)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64))) z)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y z)) #s(literal 4 binary64)))>
#<alt (.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y z)) #s(literal 4 binary64)))>
#<alt (.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 4 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y z))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 4 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y z))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 4 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y z))))))>

Calls

60 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(/ (pow x 2) z)
1.0ms	z	@	-inf	(* z (- (/ (pow x 2) z) (* 4 y)))
0.0ms	y	@	0	(* z (- (/ (pow x 2) z) (* 4 y)))
0.0ms	z	@	0	(/ (pow x 2) z)
0.0ms	x	@	inf	(/ (pow x 2) z)

rewrite168.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

775×	`log1p-expm1-u`
775×	`expm1-log1p-u`
317×	`fma-define`
220×	`expm1-undefine`
220×	`log1p-undefine`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	206
1	315	206
2	4250	198

Stop Event

1×	node limit

Counts

11 → 297

Calls

Call 1

Inputs
(.f64 #s(literal -4 binary64) (.f64 y z))
(*.f64 y z)
(*.f64 #s(literal -4 binary64) z)
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 y (.f64 z #s(literal 4 binary64)))
(*.f64 z #s(literal 4 binary64))
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 #s(literal 4 binary64) y)))
(*.f64 #s(literal 4 binary64) y)
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))
(pow.f64 x #s(literal 2 binary64))

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

simplify261.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

367×	`associate-*r/`
286×	`distribute-lft-in`
284×	`distribute-rgt-in`
279×	`associate-*l/`
264×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	508	12410
1	1052	12195
2	3185	12058

Stop Event

1×	node limit

Counts

420 → 310

Calls

Call 1

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

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

eval51.0ms (1.1%)

Compiler: Compiled 5000 to 903 computations (81.9% saved)

prune43.0ms (0.9%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	309	1	310
Fresh	0	0	0
Picked	1	3	4
Done	0	2	2
Total	310	6	316

Accuracy

100.0%

Counts

316 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
✓	98.4%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
▶	95.2%	(.f64 z (-.f64 (/.f64 (.f64 x x) z) (*.f64 #s(literal 4 binary64) y)))
✓	5.8%	(.f64 y (.f64 z #s(literal 4 binary64)))
✓	54.1%	(.f64 y (.f64 #s(literal -4 binary64) z))
✓	54.1%	(.f64 #s(literal -4 binary64) (.f64 y z))

Compiler

Compiled 61 to 42 computations (31.1% saved)

localize380.0ms (7.9%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6144	(.f64 z (-.f64 (/.f64 (.f64 x x) z) (*.f64 #s(literal 4 binary64) y)))
	cost-diff	0	(*.f64 #s(literal 4 binary64) y)
	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (*.f64 x x) z)
	accuracy	100.0%	(*.f64 x x)
	accuracy	100.0%	(*.f64 #s(literal 4 binary64) y)
✓	accuracy	95.6%	(.f64 z (-.f64 (/.f64 (.f64 x x) z) (*.f64 #s(literal 4 binary64) y)))
✓	accuracy	89.9%	(/.f64 (*.f64 x x) z)

Rules

1062×	`fma-neg`
893×	`div-sub`
626×	`fma-define`
464×	`times-frac`
458×	`unsub-neg`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	141
1	26	133
2	46	133
3	103	133
4	198	130
5	284	124
6	480	124
7	885	124
8	2606	124
9	4007	124
10	4981	124
11	5623	124
12	5730	124
13	5805	124
14	7103	124
15	7470	124
16	7478	124
17	7494	124
18	7502	124
19	7510	124
20	7680	124

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 z (-.f64 (/.f64 (.f64 x x) z) (*.f64 #s(literal 4 binary64) y)))
z
(-.f64 (/.f64 (.f64 x x) z) (.f64 #s(literal 4 binary64) y))
(/.f64 (*.f64 x x) z)
(*.f64 x x)
x
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y

Outputs
(.f64 z (-.f64 (/.f64 (.f64 x x) z) (*.f64 #s(literal 4 binary64) y)))
(.f64 z (+.f64 (/.f64 (.f64 x x) z) (*.f64 #s(literal -4 binary64) y)))
(.f64 z (fma.f64 x (/.f64 x z) (.f64 y #s(literal -4 binary64))))
(fma.f64 z (.f64 y #s(literal -4 binary64)) (.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 z (.f64 y #s(literal -4 binary64)) (.f64 x x))
z
(-.f64 (/.f64 (.f64 x x) z) (.f64 #s(literal 4 binary64) y))
(+.f64 (/.f64 (.f64 x x) z) (.f64 #s(literal -4 binary64) y))
(fma.f64 x (/.f64 x z) (*.f64 y #s(literal -4 binary64)))
(/.f64 (*.f64 x x) z)
(*.f64 x (/.f64 x z))
(*.f64 x x)
x
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y

Results

67.0ms

256×

valid

Compiler

Compiled 39 to 10 computations (74.4% saved)

Precisions

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

ival-mult: 6.0ms (62.3% of total)

ival-div: 2.0ms (20.8% of total)

ival-sub: 1.0ms (10.4% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

2 → 60

Calls

Call 1

Inputs
#<alt (/.f64 (*.f64 x x) z)>
#<alt (.f64 z (-.f64 (/.f64 (.f64 x x) z) (*.f64 #s(literal 4 binary64) y)))>

Outputs
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal 4 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal 4 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (.f64 #s(literal 4 binary64) y))))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (.f64 #s(literal -4 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal 4 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal 4 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal 4 binary64) z))))>

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	z	@	-inf	(* z (- (/ (* x x) z) (* 4 y)))
0.0ms	x	@	inf	(* z (- (/ (* x x) z) (* 4 y)))
0.0ms	z	@	0	(* z (- (/ (* x x) z) (* 4 y)))
0.0ms	y	@	-inf	(* z (- (/ (* x x) z) (* 4 y)))
0.0ms	x	@	-inf	(* z (- (/ (* x x) z) (* 4 y)))

rewrite99.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

950×	`log1p-expm1-u`
950×	`expm1-log1p-u`
518×	`log-prod`
308×	`fma-define`
162×	`expm1-undefine`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	62
1	190	61
2	2628	58

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

Inputs
(/.f64 (*.f64 x x) z)
(.f64 z (-.f64 (/.f64 (.f64 x x) z) (*.f64 #s(literal 4 binary64) y)))

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

simplify154.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

674×	`fma-define`
620×	`fma-neg`
310×	`exp-prod`
293×	`associate-*r/`
288×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	204	3865
1	434	3841
2	1341	3789
3	5974	3783

Stop Event

1×	node limit

Counts

126 → 96

Calls

Call 1

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

Outputs
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
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(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 z (.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (fma.f64 z (.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z (.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))))
(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))) #s(literal 1 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 z (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal 4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 z (fma.f64 (*.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(.f64 z (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -64 binary64))) (fma.f64 (*.f64 y #s(literal 4 binary64)) (fma.f64 y #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(.f64 z (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -64 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (.f64 y (fma.f64 y #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))) (fma.f64 #s(literal 4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -16 binary64))) (/.f64 z (fma.f64 y #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(*.f64 z (/.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -16 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 y #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) z) (fma.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal 4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 z (fma.f64 (*.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(.f64 z (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -64 binary64))) (fma.f64 (*.f64 y #s(literal 4 binary64)) (fma.f64 y #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(.f64 z (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -64 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (.f64 y (fma.f64 y #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) z) (fma.f64 #s(literal 4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(/.f64 (.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))) (fma.f64 #s(literal 4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -16 binary64))) (/.f64 z (fma.f64 y #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(*.f64 z (/.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -16 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 y #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(pow.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) #s(literal 1 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) #s(literal 3 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) #s(literal 2 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) #s(literal 3 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) #s(literal 3 binary64))))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) #s(literal 1 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 z (.f64 y #s(literal -4 binary64))))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) z (.f64 (.f64 y #s(literal -4 binary64)) z))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))

eval20.0ms (0.4%)

Compiler: Compiled 2017 to 493 computations (75.6% saved)

prune21.0ms (0.4%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	127	6	133

Accuracy

100.0%

Counts

133 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
✓	98.4%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
✓	95.2%	(.f64 z (-.f64 (/.f64 (.f64 x x) z) (*.f64 #s(literal 4 binary64) y)))
✓	5.8%	(.f64 y (.f64 z #s(literal 4 binary64)))
✓	54.1%	(.f64 y (.f64 #s(literal -4 binary64) z))
✓	54.1%	(.f64 #s(literal -4 binary64) (.f64 y z))

Compiler

Compiled 118 to 69 computations (41.5% saved)

regimes24.0ms (0.5%)

Counts

7 → 1

Calls

Call 1

Inputs
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 y (.f64 z #s(literal 4 binary64)))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(.f64 z (-.f64 (/.f64 (.f64 x x) z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
(.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 #s(literal 4 binary64) y)))

Outputs
(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))

Calls

7 calls:

6.0ms	y
4.0ms	(.f64 (.f64 y #s(literal 4 binary64)) z)
3.0ms	(*.f64 y #s(literal 4 binary64))
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`y`
98.8%	1	`z`
98.8%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
98.8%	1	`(*.f64 x x)`
98.8%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
98.8%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes17.0ms (0.4%)

Counts

5 → 1

Calls

Call 1

Inputs
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 y (.f64 z #s(literal 4 binary64)))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(.f64 z (-.f64 (/.f64 (.f64 x x) z) (*.f64 #s(literal 4 binary64) y)))

Outputs
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Calls

7 calls:

3.0ms	y
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	z
2.0ms	x
2.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`y`
98.4%	1	`z`
98.4%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
98.4%	1	`(*.f64 x x)`
98.4%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
98.4%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes6.0ms (0.1%)

Accuracy

Total -32.1b remaining (-109.3%)

Threshold costs -32.1b (-109.3%)

Counts

3 → 1

Calls

Call 1

Inputs
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 y (.f64 z #s(literal 4 binary64)))

Outputs
(.f64 #s(literal -4 binary64) (.f64 y z))

Calls

3 calls:

2.0ms	y
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
54.1%	1	`x`
54.1%	1	`y`
54.1%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative`
6×	`sub-neg`
6×	`+-commutative`
5×	`neg-sub0`
5×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	89
1	33	89
2	51	89
3	61	89
4	69	89
5	72	89

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(.f64 #s(literal -4 binary64) (.f64 y z))

Outputs
(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (.f64 x x) (.f64 z (*.f64 y #s(literal 4 binary64))))
(.f64 #s(literal -4 binary64) (.f64 y z))

soundness113.0ms (2.4%)

Rules

425×	`fma-define`
210×	`fma-neg`
96×	`distribute-lft-neg-in`
94×	`associate-r`
94×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	435
1	116	375
2	284	375
3	713	375
4	1184	375
5	1616	375
6	1710	375
7	1718	375
8	1718	375

Stop Event

1×	done
1×	saturated

Compiler

Compiled 90 to 43 computations (52.2% saved)

preprocess36.0ms (0.7%)

Remove

(sort y z)

(abs x)

Compiler

Compiled 250 to 156 computations (37.6% saved)

Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1

analyze0.0ms (0%)

sample1.9s (39.9%)

preprocess168.0ms (3.5%)

explain71.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize85.0ms (1.8%)

series22.0ms (0.5%)

rewrite287.0ms (6%)

simplify291.0ms (6.1%)

eval41.0ms (0.9%)

prune57.0ms (1.2%)

localize441.0ms (9.2%)

series18.0ms (0.4%)

rewrite168.0ms (3.5%)

simplify261.0ms (5.4%)

eval51.0ms (1.1%)

prune43.0ms (0.9%)

localize380.0ms (7.9%)

series4.0ms (0.1%)

rewrite99.0ms (2.1%)

simplify154.0ms (3.2%)

eval20.0ms (0.4%)

prune21.0ms (0.4%)

regimes24.0ms (0.5%)

regimes17.0ms (0.4%)

regimes6.0ms (0.1%)

simplify4.0ms (0.1%)

soundness113.0ms (2.4%)

preprocess36.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	171
1	35	163
2	67	163
3	117	163
4	171	163
5	241	163
6	348	163
7	450	163
8	592	163
9	840	163
10	930	163
11	942	163

Iter	Nodes	Cost
0	19	171
1	35	163
2	67	163
3	117	163
4	171	163
5	241	163
6	348	163
7	450	163
8	592	163
9	840	163
10	930	163
11	942	163

Iter	Nodes	Cost
0	19	171
1	35	163
2	67	163
3	117	163
4	171	163
5	241	163
6	348	163
7	450	163
8	592	163
9	840	163
10	930	163
11	942	163