Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, A

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 19 to 9 computations (52.6% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

sample1.1s (14.4%)

Results

804.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 390.0ms

ival-mult: 200.0ms (51.3% of total)

ival-add: 181.0ms (46.4% of total)

const: 7.0ms (1.8% of total)

backward-pass: 2.0ms (0.5% of total)

Bogosity

preprocess289.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1325×	`fmm-def`
552×	`fma-define`
244×	`unsub-neg`
147×	`associate-+l-`
139×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	721
1	124	545
2	291	383
3	815	375
4	1766	375
5	2643	375
6	3414	375
7	3930	375
8	3996	375
9	3996	375
10	4611	375
11	4611	375

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (+.f64 (+.f64 (.f64 (neg.f64 x) y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (+.f64 (+.f64 (.f64 x (neg.f64 y)) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 (neg.f64 z) (neg.f64 z))) (.f64 (neg.f64 z) (neg.f64 z))) (.f64 (neg.f64 z) (neg.f64 z)))
(neg.f64 (+.f64 (+.f64 (+.f64 (.f64 (neg.f64 x) y) (.f64 z z)) (.f64 z z)) (.f64 z z)))
(neg.f64 (+.f64 (+.f64 (+.f64 (.f64 x (neg.f64 y)) (.f64 z z)) (.f64 z z)) (.f64 z z)))
(neg.f64 (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 (neg.f64 z) (neg.f64 z))) (.f64 (neg.f64 z) (neg.f64 z))) (.f64 (neg.f64 z) (neg.f64 z))))
(+.f64 (+.f64 (+.f64 (.f64 y x) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (+.f64 (+.f64 (.f64 z y) (.f64 x x)) (.f64 x x)) (.f64 x x))
(+.f64 (+.f64 (+.f64 (.f64 x z) (.f64 y y)) (.f64 y y)) (.f64 y y))

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (.f64 z z) (+.f64 (.f64 z z) (fma.f64 x y (*.f64 z z))))
(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (.f64 z z) (+.f64 (.f64 z z) (fma.f64 x y (*.f64 z z))))
(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
(+.f64 (+.f64 (+.f64 (.f64 (neg.f64 x) y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (.f64 z z) (+.f64 (.f64 z z) (fma.f64 x (neg.f64 y) (*.f64 z z))))
(fma.f64 z z (fma.f64 x (neg.f64 y) (.f64 #s(literal 2 binary64) (.f64 z z))))
(-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (.f64 z (.f64 z #s(literal 3 binary64))))
(+.f64 (+.f64 (+.f64 (.f64 x (neg.f64 y)) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (.f64 z z) (+.f64 (.f64 z z) (fma.f64 x (neg.f64 y) (*.f64 z z))))
(fma.f64 z z (fma.f64 x (neg.f64 y) (.f64 #s(literal 2 binary64) (.f64 z z))))
(-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (.f64 z (.f64 z #s(literal 3 binary64))))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 (neg.f64 z) (neg.f64 z))) (.f64 (neg.f64 z) (neg.f64 z))) (.f64 (neg.f64 z) (neg.f64 z)))
(+.f64 (.f64 z z) (+.f64 (.f64 z z) (fma.f64 x y (*.f64 z z))))
(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
(neg.f64 (+.f64 (+.f64 (+.f64 (.f64 (neg.f64 x) y) (.f64 z z)) (.f64 z z)) (.f64 z z)))
(neg.f64 (+.f64 (.f64 z z) (+.f64 (.f64 z z) (fma.f64 x (neg.f64 y) (*.f64 z z)))))
(neg.f64 (fma.f64 z z (fma.f64 x (neg.f64 y) (.f64 #s(literal 2 binary64) (.f64 z z)))))
(-.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(fma.f64 x y (.f64 z (.f64 z #s(literal -3 binary64))))
(neg.f64 (+.f64 (+.f64 (+.f64 (.f64 x (neg.f64 y)) (.f64 z z)) (.f64 z z)) (.f64 z z)))
(neg.f64 (+.f64 (.f64 z z) (+.f64 (.f64 z z) (fma.f64 x (neg.f64 y) (*.f64 z z)))))
(neg.f64 (fma.f64 z z (fma.f64 x (neg.f64 y) (.f64 #s(literal 2 binary64) (.f64 z z)))))
(-.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(fma.f64 x y (.f64 z (.f64 z #s(literal -3 binary64))))
(neg.f64 (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 (neg.f64 z) (neg.f64 z))) (.f64 (neg.f64 z) (neg.f64 z))) (.f64 (neg.f64 z) (neg.f64 z))))
(neg.f64 (+.f64 (.f64 z z) (+.f64 (.f64 z z) (fma.f64 x y (*.f64 z z)))))
(neg.f64 (fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))))
(neg.f64 (fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64))))
(-.f64 (.f64 z (.f64 z #s(literal -3 binary64))) (*.f64 x y))
(+.f64 (+.f64 (+.f64 (.f64 y x) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (.f64 z z) (+.f64 (.f64 z z) (fma.f64 x y (*.f64 z z))))
(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
(+.f64 (+.f64 (+.f64 (.f64 z y) (.f64 x x)) (.f64 x x)) (.f64 x x))
(+.f64 (.f64 x x) (+.f64 (.f64 x x) (fma.f64 z y (*.f64 x x))))
(fma.f64 x x (fma.f64 y z (.f64 #s(literal 2 binary64) (.f64 x x))))
(fma.f64 y z (.f64 #s(literal 3 binary64) (.f64 x x)))
(fma.f64 x (.f64 #s(literal 3 binary64) x) (.f64 y z))
(fma.f64 x (.f64 x #s(literal 3 binary64)) (.f64 y z))
(+.f64 (+.f64 (+.f64 (.f64 x z) (.f64 y y)) (.f64 y y)) (.f64 y y))
(+.f64 (.f64 y y) (+.f64 (.f64 y y) (fma.f64 x z (*.f64 y y))))
(fma.f64 y y (fma.f64 x z (.f64 #s(literal 2 binary64) (.f64 y y))))
(fma.f64 x z (.f64 #s(literal 3 binary64) (.f64 y y)))
(fma.f64 x z (.f64 y (.f64 #s(literal 3 binary64) y)))
(fma.f64 x z (.f64 y (.f64 y #s(literal 3 binary64))))

Symmetry

(abs z)

(sort x y)

explain361.0ms (4.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
6	-	-	`(+.f64 (.f64 x y) (.f64 z z))`
2	-	-	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
2	-	-	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`
0	-	-	`(*.f64 x y)`
0	-	-	`x`
0	-	-	`z`
0	-	-	`y`
0	-	-	`(*.f64 z z)`

Results

328.0ms

512×

valid

Compiler

Compiled 110 to 26 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 303.0ms

ival-add: 294.0ms (96.9% of total)

ival-mult: 9.0ms (3% of total)

const: 1.0ms (0.3% of total)

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

eval1.0ms (0%)

Compiler: Compiled 44 to 17 computations (61.4% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
▶	99.0%	(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
▶	99.1%	(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
▶	97.5%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Compiler

Compiled 54 to 30 computations (44.4% saved)

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (.f64 z z))
✓	cost-diff	0	(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
✓	cost-diff	6528	(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 (.f64 z z) #s(literal 3 binary64))
✓	cost-diff	0	(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	cost-diff	-6528	(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
✓	cost-diff	0	(*.f64 z #s(literal 3 binary64))
✓	cost-diff	0	(.f64 z (.f64 z #s(literal 3 binary64)))
✓	cost-diff	-6144	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
✓	cost-diff	-5888	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(*.f64 x y)

Rules

38×	`fma-define`
7×	`*-commutative`
5×	`+-commutative`
5×	`distribute-lft-out`
4×	`fma-undefine`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	539
1	43	451
2	65	395
3	99	395
4	109	395

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
(+.f64 (.f64 x y) (.f64 z z))
(*.f64 x y)
x
y
(*.f64 z z)
z
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
x
y
(.f64 z (.f64 z #s(literal 3 binary64)))
z
(*.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
x
y
(.f64 (.f64 z z) #s(literal 3 binary64))
(*.f64 z z)
z
#s(literal 3 binary64)
(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
z
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
x
y
(.f64 #s(literal 2 binary64) (.f64 z z))
#s(literal 2 binary64)
(*.f64 z z)

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (fma.f64 x y (.f64 z z)) (+.f64 (.f64 z z) (*.f64 z z)))
(fma.f64 z z (fma.f64 x y (.f64 z (.f64 z #s(literal 2 binary64)))))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
(+.f64 (.f64 z z) (fma.f64 x y (.f64 z z)))
(fma.f64 x y (.f64 z (.f64 z #s(literal 2 binary64))))
(+.f64 (.f64 x y) (.f64 z z))
(fma.f64 x y (*.f64 z z))
(*.f64 x y)
x
y
(*.f64 z z)
z
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
(+.f64 (fma.f64 x y (.f64 z z)) (+.f64 (.f64 z z) (*.f64 z z)))
(fma.f64 z z (fma.f64 x y (.f64 z (.f64 z #s(literal 2 binary64)))))
x
y
(.f64 z (.f64 z #s(literal 3 binary64)))
z
(*.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(+.f64 (fma.f64 x y (.f64 z z)) (+.f64 (.f64 z z) (*.f64 z z)))
(fma.f64 z z (fma.f64 x y (.f64 z (.f64 z #s(literal 2 binary64)))))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
x
y
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 z (.f64 z #s(literal 3 binary64)))
(*.f64 z z)
z
#s(literal 3 binary64)
(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
(+.f64 (fma.f64 x y (.f64 z z)) (+.f64 (.f64 z z) (*.f64 z z)))
(fma.f64 z z (fma.f64 x y (.f64 z (.f64 z #s(literal 2 binary64)))))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
z
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(+.f64 (.f64 z z) (fma.f64 x y (.f64 z z)))
(fma.f64 x y (.f64 z (.f64 z #s(literal 2 binary64))))
x
y
(.f64 #s(literal 2 binary64) (.f64 z z))
(.f64 (.f64 z z) #s(literal 2 binary64))
(.f64 z (.f64 z #s(literal 2 binary64)))
#s(literal 2 binary64)
(*.f64 z z)

localize187.0ms (2.5%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (.f64 z z))
✓	accuracy	99.9%	(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
✓	accuracy	99.2%	(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.7%	(.f64 (.f64 z z) #s(literal 3 binary64))
✓	accuracy	99.2%	(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 z #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 z (.f64 z #s(literal 3 binary64)))
✓	accuracy	99.2%	(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.2%	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
✓	accuracy	99.0%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
✓	accuracy	98.0%	(+.f64 (.f64 x y) (.f64 z z))

Results

159.0ms

256×

valid

Compiler

Compiled 117 to 19 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-mult: 122.0ms (84.4% of total)

compiled-spec: 14.0ms (9.7% of total)

ival-add: 8.0ms (5.5% of total)

const: 1.0ms (0.7% of total)

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

series24.0ms (0.3%)

Counts

13 → 312

Calls

Call 1

Inputs
#<alt (*.f64 x y)>
#<alt (*.f64 z z)>
#<alt (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))>
#<alt (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))>
#<alt (.f64 z (.f64 z #s(literal 3 binary64)))>
#<alt (*.f64 z #s(literal 3 binary64))>
#<alt (fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))>
#<alt (fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))>
#<alt (.f64 (.f64 z z) #s(literal 3 binary64))>
#<alt (fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))>
#<alt (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))>
#<alt (.f64 #s(literal 2 binary64) (.f64 z z))>
#<alt (+.f64 (.f64 x y) (.f64 z z))>

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

Calls

84 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(* z (* z 3))
1.0ms	y	@	inf	(+ (+ (* x y) (* z z)) (* z z))
1.0ms	y	@	-inf	(* x y)
0.0ms	x	@	0	(* x y)
0.0ms	x	@	0	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite368.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

939×	`log1p-expm1-u`
939×	`expm1-log1p-u`
446×	`fmm-def`
149×	`add-cube-cbrt`
148×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	351
1	365	313
2	4678	313

Stop Event

1×	node limit

Counts

13 → 324

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 z z)
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
(.f64 z (.f64 z #s(literal 3 binary64)))
(*.f64 z #s(literal 3 binary64))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(.f64 #s(literal 2 binary64) (.f64 z z))
(+.f64 (.f64 x y) (.f64 z z))

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

simplify535.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

232×	`fma-define`
199×	`associate-r`
162×	`associate-l`
156×	`distribute-rgt-in`
144×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	527	23817
1	1191	23817
2	3958	23817

Stop Event

1×

unsound

Counts

636 → 293

Calls

Call 1

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

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

eval45.0ms (0.6%)

Compiler: Compiled 6226 to 1068 computations (82.8% saved)

prune182.0ms (2.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	346	3	349
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	346	7	353

Accuracy

100.0%

Counts

353 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
✓	99.0%	(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
✓	99.1%	(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
✓	97.5%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
▶	53.7%	(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))
▶	93.6%	(.f64 x (+.f64 y (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64))))
▶	51.3%	(*.f64 x y)

Compiler

Compiled 82 to 51 computations (37.8% saved)

simplify194.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 z #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))
✓	cost-diff	-6144	(.f64 x (+.f64 y (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64))))
✓	cost-diff	0	(pow.f64 z #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
✓	cost-diff	0	(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64))
	cost-diff	0	(*.f64 x y)

Rules

732×	`times-frac`
719×	`cube-prod`
662×	`associate-/r/`
560×	`associate-/l/`
539×	`swap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	198
1	30	190
2	59	190
3	116	181
4	201	181
5	346	181
6	716	181
7	2272	181
8	3559	181
9	3695	181
10	3776	181
11	3877	181
12	4012	181
13	4172	181
14	5518	181
15	6199	181
16	7253	181
17	7723	181
18	7873	181

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 x y)
x
y
(.f64 x (+.f64 y (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64))))
x
(+.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)))
y
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64))
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(literal 3 binary64)
(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(literal 3 binary64)

Outputs
(*.f64 x y)
x
y
(.f64 x (+.f64 y (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64))))
(*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y))
(fma.f64 x y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
x
(+.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y)
y
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(literal 3 binary64)
(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(literal 3 binary64)

localize280.0ms (3.7%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 z #s(literal 2 binary64))
✓	accuracy	99.7%	(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)))
✓	accuracy	99.7%	(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64))
✓	accuracy	94.5%	(.f64 x (+.f64 y (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64))))
✓	accuracy	90.2%	(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
	accuracy	100.0%	(*.f64 x y)

Results

265.0ms

256×

valid

Compiler

Compiled 60 to 13 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-mult: 105.0ms (93.8% of total)

ival-pow: 3.0ms (2.7% of total)

ival-div: 2.0ms (1.8% of total)

ival-add: 1.0ms (0.9% of total)

const: 1.0ms (0.9% of total)

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

series19.0ms (0.3%)

Counts

6 → 108

Calls

Call 1

Inputs
#<alt (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) x)>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (.f64 x (+.f64 y (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))>
#<alt (+.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)))>

Outputs
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))>
#<alt (*.f64 x y)>
#<alt (.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))>
#<alt (.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))>
#<alt (.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))>
#<alt (*.f64 x y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))>
#<alt (*.f64 x y)>
#<alt (.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))>
#<alt (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))>
#<alt (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))>
#<alt y>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))))>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))))>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))))>
#<alt y>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y))) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))>
#<alt (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))>
#<alt (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y)) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y)) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y)) x)>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))>
#<alt (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))>
#<alt (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))>
#<alt (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))>
#<alt (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))>

Calls

36 calls:

Time	Variable		Point	Expression
8.0ms	z	@	inf	(* x (+ y (* (/ (pow z 2) x) 3)))
2.0ms	x	@	inf	(* (/ (pow z 2) x) 3)
1.0ms	z	@	0	(* (/ (pow z 2) x) 3)
1.0ms	x	@	0	(* (/ (pow z 2) x) 3)
1.0ms	z	@	inf	(* (/ (pow z 2) x) 3)

rewrite178.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

675×	`log1p-expm1-u`
675×	`expm1-log1p-u`
588×	`log-prod`
309×	`fma-define`
189×	`pow-to-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	147
1	212	139
2	3015	139

Stop Event

1×	node limit

Counts

6 → 257

Calls

Call 1

Inputs
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64))
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(pow.f64 z #s(literal 2 binary64))
(.f64 x (+.f64 y (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))
(+.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))) (cbrt.f64 (exp.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))
(exp.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(*.f64 z (/.f64 z x))
(.f64 z (.f64 z (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) x))
(.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 (/.f64 z (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z x))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 z (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) x))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 z (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 z z)
(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) z))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) z))
(.f64 (.f64 z (sqrt.f64 z)) (sqrt.f64 z))
(.f64 (.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 z))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (log.f64 z))) #s(literal 1/3 binary64)))
(+.f64 (.f64 x y) (.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))
(+.f64 (.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y)))
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(pow.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y) (pow.f64 y #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y))))
(log.f64 (.f64 (exp.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))) (exp.f64 y)))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y)))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y)
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x) y)
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 3 binary64)) y)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) x) y)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(fma.f64 (/.f64 z (sqrt.f64 x)) (*.f64 (/.f64 z (sqrt.f64 x)) #s(literal 3 binary64)) y)
(fma.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) x) y)
(fma.f64 (.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 #s(literal 3 binary64))) (.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 #s(literal 3 binary64))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) x) y)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (cbrt.f64 x)) y)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(fma.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 x)) y)
(fma.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 x)) y)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 x)) y)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) y)
(fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) x) y)
(fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) y)
(fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) (sqrt.f64 x)) y)
(fma.f64 (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) x) y)
(fma.f64 (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) (cbrt.f64 x)) y)
(fma.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) y)
(fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 z (sqrt.f64 x))) (/.f64 z (sqrt.f64 x)) y)

simplify186.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

476×	`cancel-sign-sub-inv`
392×	`distribute-lft-neg-in`
377×	`distribute-rgt-neg-in`
357×	`associate-r`
337×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	611	12036
1	1339	11902
2	4488	11709

Stop Event

1×	node limit

Counts

365 → 342

Calls

Call 1

Inputs
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(*.f64 x y)
(.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(*.f64 x y)
(.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))
(*.f64 x y)
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
y
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))))
y
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y))) #s(literal 1 binary64))))
y
(+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y)) x)
(/.f64 (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y)) x)
(/.f64 (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y)) x)
y
(+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
y
(+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
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(fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) (sqrt.f64 x)) y)
(fma.f64 (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) x) y)
(fma.f64 (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) (cbrt.f64 x)) y)
(fma.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) y)
(fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 z (sqrt.f64 x))) (/.f64 z (sqrt.f64 x)) y)

Outputs
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(fma.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(fma.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(fma.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x y)
(.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(fma.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(fma.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(fma.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))
(fma.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))
(fma.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))
(fma.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(fma.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(fma.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(fma.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x y)
(.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) x))
(.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) x))
(.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) x))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))
(.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) x))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))
(.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) x))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))
(.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) x))
(*.f64 x y)
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(fma.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(fma.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(fma.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 x y (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
y
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))))
(.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x y))))
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) x) #s(literal 1 binary64)))
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y) #s(literal 1 binary64)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))))
(.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x y))))
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) x) #s(literal 1 binary64)))
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y) #s(literal 1 binary64)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))))
(.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 x y))))
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) x) #s(literal 1 binary64)))
(*.f64 y (fma.f64 #s(literal 3 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y) #s(literal 1 binary64)))
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(fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (cbrt.f64 x)) y)
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(fma.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 x)) y)
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(fma.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 x)) y)
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 x)) y)
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) y)
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) x) y)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 (cbrt.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) x) y)
(fma.f64 (cbrt.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (cbrt.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) x) y)
(fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) y)
(fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))) y)
(fma.f64 (/.f64 (cbrt.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) y)
(fma.f64 (/.f64 (cbrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))) y)
(fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))) (sqrt.f64 x)) y)
(fma.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 x)) y)
(fma.f64 (/.f64 (cbrt.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 x)) y)
(fma.f64 (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) x) y)
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(fma.f64 (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) (cbrt.f64 x)) y)
(fma.f64 (.f64 z (/.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (/.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) (cbrt.f64 x)) y)
(fma.f64 (.f64 z (/.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (.f64 z (/.f64 (sqrt.f64 #s(literal 3 binary64)) (cbrt.f64 x))) y)
(fma.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) y)
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 z (sqrt.f64 x))) (/.f64 z (sqrt.f64 x)) y)
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) y)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)

eval49.0ms (0.7%)

Compiler: Compiled 6140 to 1260 computations (79.5% saved)

prune57.0ms (0.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	376	5	381
Fresh	0	0	0
Picked	2	1	3
Done	2	2	4
Total	380	8	388

Accuracy

100.0%

Counts

388 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
▶	53.6%	(pow.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))
✓	97.5%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
▶	53.7%	(.f64 (.f64 z z) #s(literal 3 binary64))
▶	93.6%	(.f64 x (+.f64 y (.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64))))
▶	94.4%	(.f64 x (+.f64 y (.f64 (*.f64 z (/.f64 z x)) #s(literal 3 binary64))))
▶	94.4%	(.f64 x (+.f64 y (.f64 (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
✓	51.3%	(*.f64 x y)

Compiler

Compiled 157 to 105 computations (33.1% saved)

simplify413.0ms (5.5%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 z (sqrt.f64 #s(literal 3 binary64)))
✓	cost-diff	12736	(pow.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(*.f64 z (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(.f64 z (.f64 z (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	128	(.f64 (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
✓	cost-diff	-6144	(.f64 x (+.f64 y (.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64))))
	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(/.f64 (*.f64 z z) x)
✓	cost-diff	0	(.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))
	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 (.f64 z z) #s(literal 3 binary64))
✓	cost-diff	-6144	(.f64 x (+.f64 y (.f64 (*.f64 z (/.f64 z x)) #s(literal 3 binary64))))
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	0	(*.f64 z (/.f64 z x))
✓	cost-diff	0	(.f64 (.f64 z (/.f64 z x)) #s(literal 3 binary64))

Rules

3869×	`associate-*r/`
1631×	`associate-/l/`
630×	`associate-/l*`
442×	`*-commutative`
403×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	569
1	76	545
2	157	545
3	314	518
4	576	518
5	1322	518
6	2169	518
7	2904	518
8	2941	518
9	2948	518
10	2948	518
11	3668	518
12	4477	518
13	4526	518
14	4530	518
15	4530	518
16	4804	518
17	4836	518
18	4836	518
19	4836	518
20	5692	518
21	5717	518
22	5720	518
23	5720	518
24	5724	518
25	5724	518
26	5724	518

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 x (+.f64 y (.f64 (*.f64 z (/.f64 z x)) #s(literal 3 binary64))))
x
(+.f64 y (.f64 (.f64 z (/.f64 z x)) #s(literal 3 binary64)))
y
(.f64 (.f64 z (/.f64 z x)) #s(literal 3 binary64))
(*.f64 z (/.f64 z x))
z
(/.f64 z x)
#s(literal 3 binary64)
(.f64 (.f64 z z) #s(literal 3 binary64))
(*.f64 z z)
z
#s(literal 3 binary64)
(.f64 x (+.f64 y (.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64))))
x
(+.f64 y (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64)))
y
(.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))
(/.f64 (*.f64 z z) x)
(*.f64 z z)
z
#s(literal 3 binary64)
(.f64 x (+.f64 y (.f64 (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
x
(+.f64 y (.f64 (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
y
(.f64 (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(.f64 z (.f64 z (/.f64 #s(literal 1 binary64) x)))
z
(*.f64 z (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 3 binary64)
(pow.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))
(*.f64 z (sqrt.f64 #s(literal 3 binary64)))
z
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 2 binary64)

Outputs
(.f64 x (+.f64 y (.f64 (*.f64 z (/.f64 z x)) #s(literal 3 binary64))))
(.f64 x (+.f64 y (.f64 z (*.f64 (/.f64 z x) #s(literal 3 binary64)))))
(.f64 x (fma.f64 (.f64 z (/.f64 z x)) #s(literal 3 binary64) y))
(.f64 x (fma.f64 (/.f64 z x) (.f64 z #s(literal 3 binary64)) y))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))
x
(+.f64 y (.f64 (.f64 z (/.f64 z x)) #s(literal 3 binary64)))
(+.f64 y (.f64 z (.f64 (/.f64 z x) #s(literal 3 binary64))))
(fma.f64 (*.f64 z (/.f64 z x)) #s(literal 3 binary64) y)
(fma.f64 (/.f64 z x) (*.f64 z #s(literal 3 binary64)) y)
(fma.f64 z (/.f64 (*.f64 z #s(literal 3 binary64)) x) y)
(fma.f64 z (*.f64 z (/.f64 #s(literal 3 binary64) x)) y)
y
(.f64 (.f64 z (/.f64 z x)) #s(literal 3 binary64))
(.f64 z (.f64 (/.f64 z x) #s(literal 3 binary64)))
(.f64 (/.f64 z x) (.f64 z #s(literal 3 binary64)))
(.f64 z (/.f64 (.f64 z #s(literal 3 binary64)) x))
(.f64 z (.f64 z (/.f64 #s(literal 3 binary64) x)))
(.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) x))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
z
(/.f64 z x)
#s(literal 3 binary64)
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 z (.f64 z #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 z z))
(*.f64 z z)
z
#s(literal 3 binary64)
(.f64 x (+.f64 y (.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64))))
(.f64 x (+.f64 y (.f64 z (*.f64 (/.f64 z x) #s(literal 3 binary64)))))
(.f64 x (fma.f64 (.f64 z (/.f64 z x)) #s(literal 3 binary64) y))
(.f64 x (fma.f64 (/.f64 z x) (.f64 z #s(literal 3 binary64)) y))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))
x
(+.f64 y (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64)))
(+.f64 y (.f64 z (.f64 (/.f64 z x) #s(literal 3 binary64))))
(fma.f64 (*.f64 z (/.f64 z x)) #s(literal 3 binary64) y)
(fma.f64 (/.f64 z x) (*.f64 z #s(literal 3 binary64)) y)
(fma.f64 z (/.f64 (*.f64 z #s(literal 3 binary64)) x) y)
(fma.f64 z (*.f64 z (/.f64 #s(literal 3 binary64) x)) y)
y
(.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))
(.f64 z (.f64 (/.f64 z x) #s(literal 3 binary64)))
(.f64 (/.f64 z x) (.f64 z #s(literal 3 binary64)))
(.f64 z (/.f64 (.f64 z #s(literal 3 binary64)) x))
(.f64 z (.f64 z (/.f64 #s(literal 3 binary64) x)))
(.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) x))
(/.f64 (*.f64 z z) x)
(*.f64 z (/.f64 z x))
(*.f64 z z)
z
#s(literal 3 binary64)
(.f64 x (+.f64 y (.f64 (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
(.f64 x (+.f64 y (.f64 z (*.f64 (/.f64 z x) #s(literal 3 binary64)))))
(.f64 x (fma.f64 (.f64 z (/.f64 z x)) #s(literal 3 binary64) y))
(.f64 x (fma.f64 (/.f64 z x) (.f64 z #s(literal 3 binary64)) y))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))
x
(+.f64 y (.f64 (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(+.f64 y (.f64 z (.f64 (/.f64 z x) #s(literal 3 binary64))))
(fma.f64 (*.f64 z (/.f64 z x)) #s(literal 3 binary64) y)
(fma.f64 (/.f64 z x) (*.f64 z #s(literal 3 binary64)) y)
(fma.f64 z (/.f64 (*.f64 z #s(literal 3 binary64)) x) y)
(fma.f64 z (*.f64 z (/.f64 #s(literal 3 binary64) x)) y)
y
(.f64 (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(.f64 z (.f64 (/.f64 z x) #s(literal 3 binary64)))
(.f64 (/.f64 z x) (.f64 z #s(literal 3 binary64)))
(.f64 z (/.f64 (.f64 z #s(literal 3 binary64)) x))
(.f64 z (.f64 z (/.f64 #s(literal 3 binary64) x)))
(.f64 (.f64 z z) (/.f64 #s(literal 3 binary64) x))
(.f64 z (.f64 z (/.f64 #s(literal 1 binary64) x)))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
z
(*.f64 z (/.f64 #s(literal 1 binary64) x))
(/.f64 z x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 3 binary64)
(pow.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))
(.f64 z (.f64 z #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 z z))
(*.f64 z (sqrt.f64 #s(literal 3 binary64)))
z
(sqrt.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 2 binary64)

localize143.0ms (1.9%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 #s(literal 3 binary64))
✓	accuracy	99.6%	(pow.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))
✓	accuracy	99.4%	(*.f64 z (sqrt.f64 #s(literal 3 binary64)))
✓	accuracy	99.8%	(.f64 z (.f64 z (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.7%	(.f64 (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
✓	accuracy	99.7%	(*.f64 z (/.f64 #s(literal 1 binary64) x))
✓	accuracy	94.5%	(.f64 x (+.f64 y (.f64 (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.7%	(.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))
✓	accuracy	94.5%	(.f64 x (+.f64 y (.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64))))
✓	accuracy	90.2%	(/.f64 (*.f64 z z) x)
	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.7%	(.f64 (.f64 z z) #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 y (.f64 (.f64 z (/.f64 z x)) #s(literal 3 binary64)))
✓	accuracy	99.8%	(*.f64 z (/.f64 z x))
✓	accuracy	99.7%	(.f64 (.f64 z (/.f64 z x)) #s(literal 3 binary64))
✓	accuracy	94.5%	(.f64 x (+.f64 y (.f64 (*.f64 z (/.f64 z x)) #s(literal 3 binary64))))

Results

95.0ms

256×

valid

Compiler

Compiled 160 to 27 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 21.0ms (56.2% of total)

ival-div: 7.0ms (18.7% of total)

ival-add: 4.0ms (10.7% of total)

ival-pow: 3.0ms (8% of total)

ival-sqrt: 2.0ms (5.3% of total)

const: 1.0ms (2.7% of total)

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

series22.0ms (0.3%)

Counts

17 → 336

Calls

Call 1

Inputs
#<alt (.f64 (.f64 z (/.f64 z x)) #s(literal 3 binary64))>
#<alt (*.f64 z (/.f64 z x))>
#<alt (/.f64 z x)>
#<alt (.f64 x (+.f64 y (.f64 (*.f64 z (/.f64 z x)) #s(literal 3 binary64))))>
#<alt (.f64 (.f64 z z) #s(literal 3 binary64))>
#<alt (.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))>
#<alt (/.f64 (*.f64 z z) x)>
#<alt (.f64 x (+.f64 y (.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64))))>
#<alt (.f64 (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))>
#<alt (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 z (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (pow.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))>
#<alt (*.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (sqrt.f64 #s(literal 3 binary64))>
#<alt (+.f64 y (.f64 (.f64 z (/.f64 z x)) #s(literal 3 binary64)))>
#<alt (.f64 x (+.f64 y (.f64 (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))>

Outputs
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
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#<alt (/.f64 z x)>
#<alt (/.f64 z x)>
#<alt (/.f64 z x)>
#<alt (/.f64 z x)>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))>
#<alt (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))>
#<alt (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))>
#<alt y>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))))>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))))>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x y)))))>
#<alt y>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x y))) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))>
#<alt (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))>
#<alt (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y)) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y)) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y)) x)>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))>
#<alt (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))>
#<alt (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))>
#<alt (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))>
#<alt (+.f64 y (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))>
#<alt (*.f64 x y)>
#<alt (.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))>
#<alt (.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))>
#<alt (.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))>
#<alt (*.f64 x y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))>
#<alt (*.f64 x y)>
#<alt (.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>

Calls

96 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(pow (* z (sqrt 3)) 2)
0.0ms	z	@	inf	(pow (* z (sqrt 3)) 2)
0.0ms	z	@	-inf	(/ z x)
0.0ms	z	@	inf	(/ z x)
0.0ms	z	@	inf	(* z (sqrt 3))

rewrite696.0ms (9.3%)

Algorithm

1×	batch-egg-rewrite

Rules

937×	`log1p-expm1-u`
937×	`expm1-log1p-u`
193×	`fmm-def`
159×	`associate-r`
149×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	382
1	560	366
2	4806	366

Stop Event

1×	node limit

Counts

17 → 471

Calls

Call 1

Inputs
(.f64 (.f64 z (/.f64 z x)) #s(literal 3 binary64))
(*.f64 z (/.f64 z x))
(/.f64 z x)
(.f64 x (+.f64 y (.f64 (*.f64 z (/.f64 z x)) #s(literal 3 binary64))))
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 (/.f64 (.f64 z z) x) #s(literal 3 binary64))
(/.f64 (*.f64 z z) x)
(.f64 x (+.f64 y (.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64))))
(.f64 (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(.f64 z (.f64 z (/.f64 #s(literal 1 binary64) x)))
(*.f64 z (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))
(*.f64 z (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 #s(literal 3 binary64))
(+.f64 y (.f64 (.f64 z (/.f64 z x)) #s(literal 3 binary64)))
(.f64 x (+.f64 y (.f64 (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) x)
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 z (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))
(exp.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(/.f64 z (/.f64 x z))
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 z (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) x))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 z x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z x))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z x))
(*.f64 (/.f64 #s(literal 1 binary64) x) z)
(.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) z))
(*.f64 (cbrt.f64 (/.f64 z x)) (cbrt.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) x))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 z (sqrt.f64 x)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) z))
(*.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)))
(*.f64 (/.f64 z (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) x))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (.f64 z (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (/.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 3 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) (neg.f64 y)))) (+.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 9 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) (neg.f64 y)))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 9 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 9 binary64))) (-.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) (neg.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 9 binary64)))) (neg.f64 (-.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 9 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) (neg.f64 y)))
(pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)))
(exp.f64 (log.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) #s(literal 1 binary64)))
(fma.f64 z (/.f64 #s(literal 3 binary64) (/.f64 x z)) y)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)
(fma.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 9 binary64))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(fma.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 z (sqrt.f64 x))) (.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 z (sqrt.f64 x))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(+.f64 (.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) (*.f64 x y))
(+.f64 (.f64 x y) (.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))
(+.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 (.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) (.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))) (.f64 (.f64 x y) (.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))))))
(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) (.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))) (-.f64 (.f64 x y) (.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) (neg.f64 y)))))
(/.f64 (.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 9 binary64)))) (-.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y y (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) (neg.f64 y)))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 9 binary64))) x) (-.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))
(pow.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y))) #s(literal 1 binary64)))
(fma.f64 x y (.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))
(fma.f64 y x (.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))

simplify265.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

551×	`cube-prod`
539×	`associate-r`
516×	`exp-prod`
488×	`associate-l`
407×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	621	22692
1	1345	22303
2	5781	22301

Stop Event

1×	node limit

Counts

807 → 381

Calls

Call 1

Inputs
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(/.f64 (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(*.f64 x y)
(.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(*.f64 x y)
(.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(.f64 y (+.f64 x (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal -1 binary64) x))))
(*.f64 x y)
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 x y))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))
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(.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 3 binary64)))
(.f64 (sqrt.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64)))) (.f64 (sqrt.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64)))) (*.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (*.f64 z #s(literal 3 binary64))))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(.f64 (.f64 #s(literal 3 binary64) (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64))) z) (sqrt.f64 #s(literal 3 binary64)))
(.f64 (.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal 3 binary64))) z)
(.f64 (.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64))) (cbrt.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(fabs.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64))))
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(cbrt.f64 (.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) (cbrt.f64 #s(literal 3 binary64)))
(*.f64 (cbrt.f64 #s(literal 3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 3 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))) (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 9 binary64)) (-.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y))
(*.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)))
(.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) (neg.f64 y))))))
(.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) (neg.f64 y)))) (+.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 9 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) (neg.f64 y)))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 9 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 9 binary64))) (-.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) (neg.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 9 binary64)))) (neg.f64 (-.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 9 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) (neg.f64 y)))
(pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)))
(exp.f64 (log.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) #s(literal 1 binary64)))
(fma.f64 z (/.f64 #s(literal 3 binary64) (/.f64 x z)) y)
(fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) y)
(fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64) y)
(fma.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 9 binary64))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(fma.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 z (sqrt.f64 x))) (.f64 (sqrt.f64 #s(literal 3 binary64)) (/.f64 z (sqrt.f64 x))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))
(+.f64 (.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) (*.f64 x y))
(+.f64 (.f64 x y) (.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))
(+.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) (.f64 (.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 (.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) (.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))) (.f64 (.f64 x y) (.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))))))
(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))) (.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))) (-.f64 (.f64 x y) (.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)))))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) (neg.f64 y)))))
(/.f64 (.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 9 binary64)))) (-.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y y (.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x) (neg.f64 y)))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 9 binary64))) x) (-.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))
(pow.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x) y))) #s(literal 1 binary64)))
(fma.f64 x y (.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))
(fma.f64 y x (.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) x))))

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

eval58.0ms (0.8%)

Compiler: Compiled 6145 to 1592 computations (74.1% saved)

prune61.0ms (0.8%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	408	1	409
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	410	7	417

Accuracy

100.0%

Counts

417 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
✓	53.6%	(pow.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))
✓	97.5%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
✓	53.7%	(.f64 (.f64 z z) #s(literal 3 binary64))
▶	53.7%	(.f64 (.f64 z #s(literal 3 binary64)) z)
✓	94.4%	(.f64 x (+.f64 y (.f64 (*.f64 z (/.f64 z x)) #s(literal 3 binary64))))
✓	51.3%	(*.f64 x y)

Compiler

Compiled 74 to 48 computations (35.1% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 z #s(literal 3 binary64))
✓	cost-diff	0	(.f64 (.f64 z #s(literal 3 binary64)) z)

Rules

2×	`*-commutative`
2×	`associate-l`
1×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
1	11	34
2	14	34

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 z #s(literal 3 binary64)) z)
(*.f64 z #s(literal 3 binary64))
z
#s(literal 3 binary64)

Outputs
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 z (.f64 z #s(literal 3 binary64)))
(*.f64 z #s(literal 3 binary64))
z
#s(literal 3 binary64)

localize20.0ms (0.3%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 z #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 (.f64 z #s(literal 3 binary64)) z)

Results

14.0ms

256×

valid

Compiler

Compiled 14 to 7 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 4.0ms (85% of total)

const: 0.0ms (0% of total)

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

series0.0ms (0%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (.f64 (.f64 z #s(literal 3 binary64)) z)>

Outputs
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(* (* z 3) z)
0.0ms	z	@	inf	(* (* z 3) z)
0.0ms	z	@	-inf	(* (* z 3) z)

rewrite67.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`associate-l`
299×	`unpow-prod-down`
263×	`log1p-expm1-u`
263×	`expm1-log1p-u`
251×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	67	16
2	746	16

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(.f64 (.f64 z #s(literal 3 binary64)) z)

Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) z))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)))
(fabs.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 27 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64)))) #s(literal 2 binary64)))

simplify63.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

619×	`times-frac`
427×	`sub-neg`
305×	`div-sub`
253×	`fmm-def`
239×	`distribute-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	871
1	161	853
2	394	826
3	1690	818
4	4475	818

Stop Event

1×	node limit

Counts

37 → 32

Calls

Call 1

Inputs
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) z))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)))
(fabs.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 27 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64)))) #s(literal 2 binary64)))

Outputs
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) z))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) z))) (log.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (pow.f64 z #s(literal 2 binary64)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 6 binary64)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 27 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 27 binary64)))
(pow.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 9 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 27 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 27 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 z (sqrt.f64 #s(literal 3 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (pow.f64 z #s(literal 2 binary64)))

eval6.0ms (0.1%)

Compiler: Compiled 525 to 145 computations (72.4% saved)

prune11.0ms (0.1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	47	7	54

Accuracy

100.0%

Counts

54 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
✓	53.6%	(pow.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))
✓	97.5%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
✓	53.7%	(.f64 (.f64 z z) #s(literal 3 binary64))
✓	53.7%	(.f64 (.f64 z #s(literal 3 binary64)) z)
✓	94.4%	(.f64 x (+.f64 y (.f64 (*.f64 z (/.f64 z x)) #s(literal 3 binary64))))
✓	51.3%	(*.f64 x y)

Compiler

Compiled 189 to 92 computations (51.3% saved)

regimes61.0ms (0.8%)

Counts

13 → 1

Calls

Call 1

Inputs
(*.f64 x y)
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 x (+.f64 y (.f64 (*.f64 z (/.f64 z x)) #s(literal 3 binary64))))
(.f64 x (+.f64 y (.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64))))
(.f64 x (+.f64 y (.f64 (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(.f64 x (+.f64 y (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64))))
(pow.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))
(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))

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

Calls

6 calls:

38.0ms	y
5.0ms	(*.f64 z z)
4.0ms	x
4.0ms	(*.f64 x y)
4.0ms	z

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`z`
99.2%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.2%	1	`(*.f64 x y)`
99.2%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes27.0ms (0.4%)

Counts

12 → 1

Calls

Call 1

Inputs
(*.f64 x y)
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 x (+.f64 y (.f64 (*.f64 z (/.f64 z x)) #s(literal 3 binary64))))
(.f64 x (+.f64 y (.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64))))
(.f64 x (+.f64 y (.f64 (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(.f64 x (+.f64 y (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64))))
(pow.f64 (*.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))

Outputs
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))

Calls

6 calls:

5.0ms	(*.f64 x y)
4.0ms	z
4.0ms	y
4.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
4.0ms	x

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`y`
99.1%	1	`z`
99.1%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.1%	1	`(*.f64 x y)`
99.1%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes20.0ms (0.3%)

Counts

8 → 2

Calls

Call 1

Inputs
(*.f64 x y)
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 x (+.f64 y (.f64 (*.f64 z (/.f64 z x)) #s(literal 3 binary64))))
(.f64 x (+.f64 y (.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64))))
(.f64 x (+.f64 y (.f64 (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(.f64 x (+.f64 y (.f64 (*.f64 z (/.f64 z x)) #s(literal 3 binary64))))

Calls

6 calls:

4.0ms	x
3.0ms	y
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
3.0ms	z
3.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
99.8%	2	`x`
97.5%	1	`y`
99.8%	2	`z`
99.8%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.8%	2	`(*.f64 x y)`
99.8%	2	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes13.0ms (0.2%)

Counts

6 → 2

Calls

Call 1

Inputs
(*.f64 x y)
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 x (+.f64 y (.f64 (*.f64 z (/.f64 z x)) #s(literal 3 binary64))))
(.f64 x (+.f64 y (.f64 (/.f64 (*.f64 z z) x) #s(literal 3 binary64))))
(.f64 x (+.f64 y (.f64 (.f64 z (.f64 z (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))

Outputs
(.f64 x (+.f64 y (.f64 (*.f64 z (/.f64 z x)) #s(literal 3 binary64))))
(.f64 (.f64 z #s(literal 3 binary64)) z)

Calls

5 calls:

3.0ms	y
3.0ms	x
2.0ms	z
2.0ms	(*.f64 x y)
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
94.4%	1	`y`
94.4%	1	`x`
96.1%	2	`z`
94.4%	1	`(*.f64 x y)`
96.1%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes14.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

Inputs
(*.f64 x y)
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (.f64 z z) #s(literal 3 binary64))

Outputs
(*.f64 x y)
(.f64 (.f64 z #s(literal 3 binary64)) z)

Calls

5 calls:

6.0ms	(*.f64 x y)
2.0ms	x
2.0ms	z
2.0ms	y
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
72.8%	3	`x`
66.4%	3	`y`
70.5%	3	`(*.f64 x y)`
84.1%	2	`z`
84.1%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x y)

Outputs
(*.f64 x y)

Calls

4 calls:

1.0ms	y
1.0ms	x
1.0ms	z
1.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
51.3%	1	`y`
51.3%	1	`(*.f64 x y)`
51.3%	1	`x`
51.3%	1	`z`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.943029229880163e+306	7.331941352749964e+307

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5265253445057342e+211	1.3881328409001416e+219

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5708545132863681e-31	6.925698078325619e-30

Compiler

Compiled 20 to 13 computations (35% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative`
4×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	366
1	52	366

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 binary64)) (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (.f64 x (+.f64 y (.f64 (.f64 z (/.f64 z x)) #s(literal 3 binary64)))))
(if (<=.f64 (.f64 z z) #s(literal 19999999999999999126268047442533099478043328595534943055511756777559563988209287873078382592034326362324854365499795938402118056640712065861492564306345232703423519513081852561691219043115277313863990539439833088 binary64)) (.f64 x (+.f64 y (.f64 (.f64 z (/.f64 z x)) #s(literal 3 binary64)))) (.f64 (.f64 z #s(literal 3 binary64)) z))
(if (<=.f64 (.f64 z z) #s(literal 35681192317649/178405961588244985132285746181186892047843328 binary64)) (.f64 x y) (.f64 (.f64 z #s(literal 3 binary64)) z))
(*.f64 x y)

Outputs
(fma.f64 z z (fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z))))
(fma.f64 x y (.f64 z (.f64 z #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 binary64)) (+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z)) (.f64 x (+.f64 y (.f64 (.f64 z (/.f64 z x)) #s(literal 3 binary64)))))
(if (<=.f64 (.f64 z z) #s(literal 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 binary64)) (+.f64 (.f64 z z) (+.f64 (.f64 z z) (+.f64 (.f64 z z) (.f64 x y)))) (.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (.f64 z (/.f64 z x))))))
(if (<=.f64 (.f64 z z) #s(literal 19999999999999999126268047442533099478043328595534943055511756777559563988209287873078382592034326362324854365499795938402118056640712065861492564306345232703423519513081852561691219043115277313863990539439833088 binary64)) (.f64 x (+.f64 y (.f64 (.f64 z (/.f64 z x)) #s(literal 3 binary64)))) (.f64 (.f64 z #s(literal 3 binary64)) z))
(if (<=.f64 (.f64 z z) #s(literal 19999999999999999126268047442533099478043328595534943055511756777559563988209287873078382592034326362324854365499795938402118056640712065861492564306345232703423519513081852561691219043115277313863990539439833088 binary64)) (.f64 x (+.f64 y (.f64 #s(literal 3 binary64) (.f64 z (/.f64 z x))))) (.f64 z (.f64 z #s(literal 3 binary64))))
(if (<=.f64 (.f64 z z) #s(literal 35681192317649/178405961588244985132285746181186892047843328 binary64)) (.f64 x y) (.f64 (.f64 z #s(literal 3 binary64)) z))
(if (<=.f64 (.f64 z z) #s(literal 35681192317649/178405961588244985132285746181186892047843328 binary64)) (.f64 x y) (.f64 z (.f64 z #s(literal 3 binary64))))
(*.f64 x y)

soundness1.1s (14.1%)

Rules

1325×	`fmm-def`
937×	`log1p-expm1-u`
937×	`expm1-log1p-u`
675×	`log1p-expm1-u`
675×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	147
1	212	139
2	3015	139
0	527	23817
1	1191	23817
2	3958	23817
0	33	382
1	560	366
2	4806	366
0	47	721
1	124	545
2	291	383
3	815	375
4	1766	375
5	2643	375
6	3414	375
7	3930	375
8	3996	375
9	3996	375
10	4611	375
11	4611	375

Stop Event

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

Compiler

Compiled 471 to 158 computations (66.5% saved)

preprocess349.0ms (4.7%)

Remove

(sort x y)

(abs z)

Compiler

Compiled 806 to 364 computations (54.8% saved)

analyze0.0ms (0%)

sample1.1s (14.4%)

preprocess289.0ms (3.9%)

explain361.0ms (4.8%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify64.0ms (0.9%)

localize187.0ms (2.5%)

series24.0ms (0.3%)

rewrite368.0ms (4.9%)

simplify535.0ms (7.2%)

eval45.0ms (0.6%)

prune182.0ms (2.4%)

simplify194.0ms (2.6%)

localize280.0ms (3.7%)

series19.0ms (0.3%)

rewrite178.0ms (2.4%)

simplify186.0ms (2.5%)

eval49.0ms (0.7%)

prune57.0ms (0.8%)

simplify413.0ms (5.5%)

localize143.0ms (1.9%)

series22.0ms (0.3%)

rewrite696.0ms (9.3%)

simplify265.0ms (3.5%)

eval58.0ms (0.8%)

prune61.0ms (0.8%)

simplify6.0ms (0.1%)

localize20.0ms (0.3%)

series0.0ms (0%)

rewrite67.0ms (0.9%)

simplify63.0ms (0.8%)

eval6.0ms (0.1%)

prune11.0ms (0.1%)

regimes61.0ms (0.8%)

regimes27.0ms (0.4%)

regimes20.0ms (0.3%)

regimes13.0ms (0.2%)

regimes14.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

soundness1.1s (14.1%)

preprocess349.0ms (4.7%)

end0.0ms (0%)

Profiling