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)

sample973.0ms (28.8%)

Results

709.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 313.0ms

ival-mult: 256.0ms (81.8% of total)

ival-sub: 42.0ms (13.4% of total)

const: 12.0ms (3.8% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess101.0ms (3%)

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)

explain74.0ms (2.2%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
5	-	-	`(-.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

38.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 12.0ms (79.8% of total)

ival-sub: 3.0ms (19.9% of total)

const: 1.0ms (6.6% 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))))
▶	98.0%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify34.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 7 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)

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)

localize49.0ms (1.5%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	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	98.3%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Results

37.0ms

256×

valid

Compiler

Compiled 48 to 13 computations (72.9% saved)

Precisions

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

ival-mult: 9.0ms (65.2% of total)

ival-fma: 3.0ms (21.7% of total)

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

const: 1.0ms (7.2% of total)

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

series19.0ms (0.6%)

Counts

7 → 156

Calls

Call 1

Inputs
#<alt (*.f64 x x)>
#<alt (.f64 (.f64 y #s(literal 4 binary64)) z)>
#<alt (*.f64 y #s(literal 4 binary64))>
#<alt (-.f64 (.f64 x x) (.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 (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) (.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) 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 (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 (.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
2.0ms	y	@	inf	(- (* x x) (* (* y 4) z))
1.0ms	y	@	inf	(* y 4)
1.0ms	y	@	inf	(* (* y 4) z)
1.0ms	y	@	0	(* (* y 4) z)
1.0ms	z	@	inf	(* (* y 4) z)

rewrite366.0ms (10.8%)

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

simplify316.0ms (9.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	520	15490
1	1090	15240
2	3329	14628

Stop Event

1×	node limit

Counts

467 → 308

Calls

Call 1

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

eval40.0ms (1.2%)

Compiler: Compiled 5686 to 769 computations (86.5% saved)

prune43.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	306	2	308
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	307	3	310

Accuracy

100.0%

Counts

310 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.0%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
▶	47.8%	(-.f64 (.f64 x x) (.f64 y (*.f64 z #s(literal -4 binary64))))
▶	56.5%	(.f64 #s(literal -4 binary64) (.f64 y z))

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify35.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(-.f64 (.f64 x x) (.f64 y (*.f64 z #s(literal -4 binary64))))
	cost-diff	0	(*.f64 z #s(literal -4 binary64))
	cost-diff	0	(.f64 y (.f64 z #s(literal -4 binary64)))
	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(.f64 #s(literal -4 binary64) (.f64 y z))

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	133
1	30	129
2	65	129
3	111	129
4	158	129
5	222	129
6	334	129
7	441	129
8	589	129
9	807	129
10	897	129
11	909	129

Stop Event

1×

saturated

Calls

Call 1

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

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

localize43.0ms (1.3%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 z #s(literal -4 binary64))
	accuracy	100.0%	(.f64 y (.f64 z #s(literal -4 binary64)))
	accuracy	100.0%	(*.f64 x x)
✓	accuracy	98.7%	(-.f64 (.f64 x x) (.f64 y (*.f64 z #s(literal -4 binary64))))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(.f64 #s(literal -4 binary64) (.f64 y z))

Results

30.0ms

256×

valid

Compiler

Compiled 39 to 11 computations (71.8% saved)

Precisions

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

ival-mult: 10.0ms (86.1% of total)

ival-sub: 1.0ms (8.6% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Counts

3 → 36

Calls

Call 1

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

Calls

21 calls:

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

rewrite149.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`log1p-expm1-u`
906×	`expm1-log1p-u`
533×	`log-prod`
424×	`fma-define`
162×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	66
1	214	65
2	2576	62

Stop Event

1×	node limit

Counts

3 → 201

Calls

Call 1

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

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

simplify150.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

569×	`times-frac`
512×	`distribute-lft-in`
462×	`distribute-rgt-in`
460×	`fma-neg`
424×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	399	9227
1	856	8946
2	2513	8754

Stop Event

1×	node limit

Counts

237 → 245

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

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

eval85.0ms (2.5%)

Compiler: Compiled 5597 to 714 computations (87.2% saved)

prune56.0ms (1.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	305	2	307
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	306	4	310

Accuracy

100.0%

Counts

310 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.0%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
▶	5.9%	(.f64 (.f64 #s(literal 4 binary64) y) z)
▶	56.5%	(.f64 y (.f64 z #s(literal -4 binary64)))
✓	56.5%	(.f64 #s(literal -4 binary64) (.f64 y z))

Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify42.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 #s(literal 4 binary64) y)
✓	cost-diff	(.f64 (.f64 #s(literal 4 binary64) y) z)
	cost-diff	(*.f64 z #s(literal -4 binary64))
	cost-diff	(.f64 y (.f64 z #s(literal -4 binary64)))

Rules

9×	`*-commutative`
6×	`associate-r`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	76
1	20	76
2	33	76
3	37	76

Stop Event

1×

saturated

Calls

Call 1

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

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

localize41.0ms (1.2%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 4 binary64) y) z)
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) y)
	accuracy	100.0%	(*.f64 z #s(literal -4 binary64))
	accuracy	100.0%	(.f64 y (.f64 z #s(literal -4 binary64)))

Results

32.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-mult: 18.0ms (96.2% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Counts

2 → 24

Calls

Call 1

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

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))>

Calls

9 calls:

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

rewrite69.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

392×	`unpow-prod-down`
363×	`log1p-expm1-u`
363×	`expm1-log1p-u`
347×	`add-exp-log`
334×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	88	29
2	1013	29

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

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

simplify102.0ms (3%)

Algorithm

1×	egg-herbie

Rules

771×	`fma-define`
738×	`prod-exp`
388×	`*-commutative`
291×	`associate-r`
269×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	1358
1	214	1358
2	485	1358
3	1873	1358
4	4430	1358
5	7570	1358

Stop Event

1×	node limit

Counts

66 → 55

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

eval14.0ms (0.4%)

Compiler: Compiled 952 to 290 computations (69.5% saved)

prune30.0ms (0.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	99	4	103

Accuracy

100.0%

Counts

103 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.0%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
✓	5.9%	(.f64 (.f64 #s(literal 4 binary64) y) z)
✓	56.5%	(.f64 y (.f64 z #s(literal -4 binary64)))
✓	56.5%	(.f64 #s(literal -4 binary64) (.f64 y z))

Compiler

Compiled 80 to 43 computations (46.3% saved)

regimes24.0ms (0.7%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

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)

regimes18.0ms (0.5%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`y`
98.0%	1	`z`
98.0%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
98.0%	1	`(*.f64 x x)`
98.0%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
98.0%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes9.0ms (0.3%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
83.6%	2	`x`
79.4%	5	`y`
68.1%	3	`z`
83.6%	2	`(*.f64 x x)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.2%)

Accuracy

Total -33.5b remaining (-120.1%)

Threshold costs -33.5b (-120.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
56.5%	1	`z`
56.5%	1	`y`
56.5%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch13.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	5.747980028690009e-45	5.292879391708649e-41

Results

7.0ms

128×

valid

Compiler

Compiled 178 to 133 computations (25.3% saved)

Precisions

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

ival-mult: 2.0ms (71.4% of total)

ival-sub: 1.0ms (35.7% of total)

const: 0.0ms (0% of total)

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

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
10×	`sub-neg`
10×	`+-commutative`
8×	`distribute-lft-neg-in`
8×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	166
1	45	166
2	72	166
3	91	166
4	103	166
5	108	166
6	109	166

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))
(if (<=.f64 (.f64 x x) #s(literal 2550072580000839/49039857307708443467467104868809893875799651909875269632 binary64)) (.f64 #s(literal -4 binary64) (.f64 y z)) (-.f64 (.f64 x x) (.f64 y (.f64 z #s(literal -4 binary64)))))
(.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))))
(if (<=.f64 (.f64 x x) #s(literal 2550072580000839/49039857307708443467467104868809893875799651909875269632 binary64)) (.f64 #s(literal -4 binary64) (.f64 y z)) (-.f64 (.f64 x x) (.f64 y (.f64 z #s(literal -4 binary64)))))
(.f64 #s(literal -4 binary64) (.f64 y z))

soundness427.0ms (12.6%)

Rules

741×	`times-frac`
568×	`fma-neg`
425×	`fma-define`
253×	`distribute-lft-neg-in`
216×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	520	15490
1	1090	15240
2	3329	14628
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
1×	node limit

Compiler

Compiled 300 to 98 computations (67.3% saved)

preprocess38.0ms (1.1%)

Remove

(sort y z)

(abs x)

Compiler

Compiled 290 to 164 computations (43.4% saved)

Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1

analyze0.0ms (0%)

sample973.0ms (28.8%)

preprocess101.0ms (3%)

explain74.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify34.0ms (1%)

localize49.0ms (1.5%)

series19.0ms (0.6%)

rewrite366.0ms (10.8%)

simplify316.0ms (9.3%)

eval40.0ms (1.2%)

prune43.0ms (1.3%)

simplify35.0ms (1%)

localize43.0ms (1.3%)

series5.0ms (0.1%)

rewrite149.0ms (4.4%)

simplify150.0ms (4.4%)

eval85.0ms (2.5%)

prune56.0ms (1.6%)

simplify42.0ms (1.3%)

localize41.0ms (1.2%)

series2.0ms (0.1%)

rewrite69.0ms (2%)

simplify102.0ms (3%)

eval14.0ms (0.4%)

prune30.0ms (0.9%)

regimes24.0ms (0.7%)

regimes18.0ms (0.5%)

regimes9.0ms (0.3%)

regimes6.0ms (0.2%)

bsearch13.0ms (0.4%)

simplify6.0ms (0.2%)

soundness427.0ms (12.6%)

preprocess38.0ms (1.1%)

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	16	133
1	30	129
2	65	129
3	111	129
4	158	129
5	222	129
6	334	129
7	441	129
8	589	129
9	807	129
10	897	129
11	909	129

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	16	133
1	30	129
2	65	129
3	111	129
4	158	129
5	222	129
6	334	129
7	441	129
8	589	129
9	807	129
10	897	129
11	909	129

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	16	133
1	30	129
2	65	129
3	111	129
4	158	129
5	222	129
6	334	129
7	441	129
8	589	129
9	807	129
10	897	129
11	909	129