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

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

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

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.5s (37%)

Results

972.0ms	5415×	256	valid
493.0ms	2840×	256	infinite
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 407.0ms

Operation ival-mult, time spent: 336.0ms, 83.0% of total-time

Operation ival-sub, time spent: 57.0ms, 14.0% of total-time

Operation const, time spent: 14.0ms, 3.0% of total-time

Bogosity

preprocess193.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

850×	`fma-define`
420×	`fma-neg`
192×	`distribute-lft-neg-in`
188×	`associate-r`
188×	`cancel-sign-sub-inv`

FPErrors

Click to see full error table

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(abs x)

(sort y z)

Compiler

Compiled 68 to 38 computations (44.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

Operation ival-mult, time spent: 23.0ms, 81.0% of total-time

Operation ival-sub, time spent: 3.0ms, 11.0% of total-time

Operation const, time spent: 2.0ms, 7.0% of total-time

eval1.0ms (0%)

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

prune6.0ms (0.2%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
▶	99.6%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize78.0ms (1.9%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.6%	(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
✓	99.7%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Compiler

Compiled 48 to 25 computations (47.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

Operation ival-mult, time spent: 22.0ms, 72.0% of total-time

Operation composed, time spent: 4.0ms, 13.0% of total-time

Operation ival-sub, time spent: 2.0ms, 7.0% of total-time

Operation const, time spent: 2.0ms, 7.0% of total-time

Operation ival-add, time spent: 1.0ms, 3.0% of total-time

series10.0ms (0.2%)

Counts

2 → 72

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(- (* x x) (* (* y 4) z))
1.0ms	y	@	inf	(- (* x x) (* (* y 4) z))
1.0ms	x	@	0	(- (* x x) (* (* y 4) z))
1.0ms	y	@	0	(+ (* x x) (* y (* z -4)))
1.0ms	y	@	0	(- (* x x) (* (* y 4) z))

rewrite267.0ms (6.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`log-prod`
996×	`log1p-expm1-u`
996×	`expm1-log1p-u`
844×	`fma-define`
360×	`expm1-undefine`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	68
1	235	66
2	3090	60

Stop Event

1×	node limit

Counts

2 → 224

Calls

Call 1

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

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

simplify223.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

820×	`times-frac`
598×	`*-commutative`
578×	`fma-neg`
566×	`distribute-lft-in`
538×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	363	13441
1	843	13223
2	2330	12619
3	7880	12319

Stop Event

1×	node limit

Counts

296 → 219

Calls

Call 1

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

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

eval188.0ms (4.6%)

Compiler: Compiled 4873 to 3030 computations (37.8% saved)

prune37.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	214	5	219
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	215	6	221

Accuracy

100.0%

Counts

221 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (*.f64 z #s(literal -4 binary64)) y (pow.f64 x #s(literal 2 binary64)))
▶	55.7%	(pow.f64 x #s(literal 2 binary64))
✓	99.6%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
▶	93.3%	(.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 #s(literal 4 binary64) y)))
▶	53.3%	(.f64 y (.f64 #s(literal -4 binary64) z))
▶	53.3%	(.f64 #s(literal -4 binary64) (.f64 y z))

Compiler

Compiled 106 to 78 computations (26.4% saved)

localize252.0ms (6.1%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	93.3%	(.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 #s(literal 4 binary64) y)))
✓	88.8%	(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
✓	100.0%	(.f64 #s(literal -4 binary64) (.f64 y z))

Compiler

Compiled 86 to 50 computations (41.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

Operation ival-mult, time spent: 71.0ms, 64.0% of total-time

Operation const, time spent: 13.0ms, 12.0% of total-time

Operation ival-pow, time spent: 12.0ms, 11.0% of total-time

Operation ival-div, time spent: 7.0ms, 6.0% of total-time

Operation composed, time spent: 4.0ms, 4.0% of total-time

Operation ival-sub, time spent: 3.0ms, 3.0% of total-time

Operation ival-add, time spent: 2.0ms, 2.0% of total-time

series13.0ms (0.3%)

Counts

3 → 36

Calls

Call 1

Inputs

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

#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>

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

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

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(* z (- (/ (pow x 2) z) (* 4 y)))
2.0ms	x	@	inf	(* z (- (/ (pow x 2) z) (* 4 y)))
1.0ms	y	@	0	(* z (- (/ (pow x 2) z) (* 4 y)))
0.0ms	y	@	inf	(* z (- (/ (pow x 2) z) (* 4 y)))
0.0ms	z	@	0	(/ (pow x 2) z)

rewrite124.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1270×	`log-prod`
696×	`log1p-expm1-u`
696×	`expm1-log1p-u`
594×	`fma-define`
392×	`expm1-undefine`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	81
1	232	81
2	3104	77

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

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

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

simplify174.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1516×	`fma-define`
1012×	`fma-neg`
628×	`distribute-lft-in`
590×	`distribute-rgt-in`
520×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	235	3588
1	474	3588
2	1573	3536
3	5855	3530

Stop Event

1×	node limit

Counts

117 → 110

Calls

Call 1

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

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

eval83.0ms (2%)

Compiler: Compiled 1729 to 1191 computations (31.1% saved)

prune22.0ms (0.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	111	5	116

Accuracy

100.0%

Counts

116 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 z #s(literal -4 binary64)) y (pow.f64 x #s(literal 2 binary64)))
✓	99.6%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
▶	93.3%	(.f64 z (-.f64 (.f64 x (/.f64 x z)) (*.f64 #s(literal 4 binary64) y)))
✓	53.3%	(.f64 y (.f64 #s(literal -4 binary64) z))
✓	53.3%	(.f64 #s(literal -4 binary64) (.f64 y z))

Compiler

Compiled 53 to 37 computations (30.2% saved)

localize109.0ms (2.6%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.8%	(*.f64 x (/.f64 x z))
✓	93.3%	(.f64 z (-.f64 (.f64 x (/.f64 x z)) (*.f64 #s(literal 4 binary64) y)))

Compiler

Compiled 39 to 16 computations (59% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

Operation ival-mult, time spent: 68.0ms, 90.0% of total-time

Operation ival-div, time spent: 5.0ms, 7.0% of total-time

Operation ival-sub, time spent: 3.0ms, 4.0% of total-time

Operation const, time spent: 1.0ms, 1.0% of total-time

series4.0ms (0.1%)

Counts

2 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite119.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`log-prod`
997×	`log1p-expm1-u`
997×	`expm1-log1p-u`
882×	`fma-define`
386×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	198	61
2	2719	58

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

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

simplify116.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1246×	`fma-define`
1120×	`fma-neg`
640×	`times-frac`
616×	`cube-prod`
588×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	4192
1	450	4192
2	1230	4132
3	5426	4132

Stop Event

1×	node limit

Counts

143 → 104

Calls

Call 1

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

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

eval109.0ms (2.6%)

Compiler: Compiled 2009 to 1324 computations (34.1% saved)

prune19.0ms (0.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	104	5	109

Accuracy

100.0%

Counts

109 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 z #s(literal -4 binary64)) y (pow.f64 x #s(literal 2 binary64)))
✓	99.6%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
✓	93.3%	(.f64 z (-.f64 (.f64 x (/.f64 x z)) (*.f64 #s(literal 4 binary64) y)))
✓	53.3%	(.f64 y (.f64 #s(literal -4 binary64) z))
✓	53.3%	(.f64 #s(literal -4 binary64) (.f64 y z))

Compiler

Compiled 116 to 75 computations (35.3% saved)

regimes34.0ms (0.8%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

7 calls:

6.0ms	(*.f64 y #s(literal 4 binary64))
5.0ms	z
5.0ms	y
5.0ms	x
4.0ms	(.f64 (.f64 y #s(literal 4 binary64)) z)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
100.0%	1	`(*.f64 x x)`
100.0%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
100.0%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes29.0ms (0.7%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

7 calls:

5.0ms	(*.f64 y #s(literal 4 binary64))
5.0ms	y
4.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
4.0ms	z
4.0ms	x

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`
99.6%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
99.6%	1	`(*.f64 x x)`
99.6%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
99.6%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes31.0ms (0.8%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

9.0ms	(*.f64 y #s(literal 4 binary64))
7.0ms	z
4.0ms	y
3.0ms	x
3.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`
99.6%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
99.6%	1	`(*.f64 x x)`
99.6%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
99.6%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes7.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
53.3%	1	`x`
53.3%	1	`y`
53.3%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative`
12×	`sub-neg`
12×	`+-commutative`
10×	`neg-sub0`
10×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	119
1	36	119
2	54	119
3	64	119
4	72	119
5	75	119

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 42 to 29 computations (31% saved)

soundness246.0ms (6%)

Rules

1170×	`log-prod`
996×	`log1p-expm1-u`
996×	`expm1-log1p-u`
850×	`fma-define`
844×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	435
1	116	375
2	284	375
3	713	375
4	1184	375
5	1616	375
6	1710	375
7	1718	375
8	1718	375
0	19	68
1	235	66
2	3090	60

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 169 to 89 computations (47.3% saved)

end0.0ms (0%)

preprocess103.0ms (2.5%)

Remove

(sort y z)

(abs x)

Compiler

Compiled 310 to 216 computations (30.3% saved)

analyze0.0ms (0%)

sample1.5s (37%)

preprocess193.0ms (4.7%)

eval1.0ms (0%)

prune6.0ms (0.2%)

localize78.0ms (1.9%)

series10.0ms (0.2%)

rewrite267.0ms (6.5%)

simplify223.0ms (5.4%)

eval188.0ms (4.6%)

prune37.0ms (0.9%)

localize252.0ms (6.1%)

series13.0ms (0.3%)

rewrite124.0ms (3%)

simplify174.0ms (4.2%)

eval83.0ms (2%)

prune22.0ms (0.5%)

localize109.0ms (2.6%)

series4.0ms (0.1%)

rewrite119.0ms (2.9%)

simplify116.0ms (2.8%)

eval109.0ms (2.6%)

prune19.0ms (0.5%)

regimes34.0ms (0.8%)

regimes29.0ms (0.7%)

regimes31.0ms (0.8%)

regimes7.0ms (0.2%)

simplify5.0ms (0.1%)

soundness246.0ms (6%)

end0.0ms (0%)

preprocess103.0ms (2.5%)

Profiling