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

sample1.0s (35.8%)

Results

600.0ms	5407×	256	valid
324.0ms	2848×	256	infinite
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 268.0ms

Operation ival-mult, time spent: 200.0ms, 75.0% of total-time

Operation ival-sub, time spent: 53.0ms, 20.0% of total-time

Operation const, time spent: 15.0ms, 6.0% of total-time

Bogosity

preprocess217.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

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

FPErrors

Click to see full error table

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

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, 83.0% 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)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
▶	98.0%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize76.0ms (2.6%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	98.4%	(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
✓	98.4%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Compiler

Compiled 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, 71.0% of total-time

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

Operation ival-sub, time spent: 2.0ms, 6.0% of total-time

Operation ival-add, time spent: 2.0ms, 6.0% of total-time

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

series10.0ms (0.4%)

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 (* z -4)))
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	x	@	inf	(- (* x x) (* (* y 4) z))

rewrite249.0ms (8.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	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 (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)))

simplify212.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

410×	`times-frac`
299×	`*-commutative`
289×	`fma-neg`
283×	`distribute-lft-in`
269×	`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)))

eval91.0ms (3.1%)

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

prune36.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	217	2	219
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	217	4	221

Accuracy

100.0%

Counts

221 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
▶	52.6%	(pow.f64 x #s(literal 2 binary64))
✓	98.0%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
▶	53.0%	(.f64 y (.f64 #s(literal -4 binary64) z))

Compiler

Compiled 37 to 26 computations (29.7% saved)

localize40.0ms (1.4%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(pow.f64 x #s(literal 2 binary64))

Compiler

Compiled 20 to 13 computations (35% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

Operation ival-mult, time spent: 5.0ms, 55.0% of total-time

Operation ival-pow, time spent: 3.0ms, 33.0% of total-time

Operation const, time spent: 1.0ms, 11.0% of total-time

series4.0ms (0.1%)

Counts

1 → 0

Calls

Call 1

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

Outputs

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(pow x 2)
0.0ms	x	@	0	(pow x 2)
0.0ms	x	@	-inf	(pow x 2)

rewrite122.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

793×	`log1p-expm1-u`
793×	`expm1-log1p-u`
675×	`fma-define`
340×	`fma-neg`
224×	`log1p-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	48	10
2	460	10
3	4337	10

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

Inputs
(pow.f64 x #s(literal 2 binary64))

Outputs
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64))) (cbrt.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))

simplify67.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

662×	`fma-define`
602×	`associate-+r-`
515×	`distribute-lft-out`
441×	`fma-neg`
382×	`associate-r`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	124	1318
1	216	1038
2	348	1027
3	840	1004
4	4608	1003

Stop Event

1×	node limit

Counts

44 → 62

Calls

Call 1

Inputs
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64))) (cbrt.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))

Outputs
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (E.f64)))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 1/6 binary64)) (.f64 (cbrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64))) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 1/6 binary64)) (.f64 (cbrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 (cbrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))) (+.f64 (fma.f64 x x #s(literal 2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))))
(/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (pow.f64 x #s(literal 2 binary64)))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 x #s(literal 2 binary64))))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3 binary64)))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))

eval18.0ms (0.6%)

Compiler: Compiled 673 to 461 computations (31.5% saved)

prune12.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	0	0	0
Picked	1	1	2
Done	0	2	2
Total	62	4	66

Accuracy

100.0%

Counts

66 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
✓	98.0%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
✓	53.0%	(.f64 y (.f64 #s(literal -4 binary64) z))
▶	52.7%	(*.f64 x x)

Compiler

Compiled 37 to 25 computations (32.4% saved)

localize30.0ms (1%)

Compiler: Compiled 8 to 5 computations (37.5% saved)
Precisions: Click to see histograms. Total time spent on operations: 2.0ms
Operation ival-mult, time spent: 2.0ms, 81.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
✓	98.0%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
✓	53.0%	(.f64 y (.f64 #s(literal -4 binary64) z))
✓	52.7%	(*.f64 x x)

Compiler

Compiled 68 to 42 computations (38.2% saved)

regimes21.0ms (0.7%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes25.0ms (0.9%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

7 calls:

6.0ms	(*.f64 x x)
4.0ms	x
4.0ms	y
4.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
2.0ms	(*.f64 y #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
99.6%	2	`x`
98.0%	1	`y`
98.0%	1	`z`
99.6%	2	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
99.6%	2	`(*.f64 x x)`
98.0%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
98.0%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes18.0ms (0.6%)

Counts

2 → 4

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	z
5.0ms	x
4.0ms	y
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
75.6%	3	`y`
73.0%	5	`z`
87.6%	4	`x`
87.6%	4	`(*.f64 x x)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes2.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x x)

Outputs
(*.f64 x x)

Calls

4 calls:

0.0ms	(*.f64 x x)
0.0ms	z
0.0ms	y
0.0ms	x

Results

Accuracy	Segments	Branch
52.7%	1	`z`
52.7%	1	`y`
52.7%	1	`x`
52.7%	1	`(*.f64 x x)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.871836988677821e+307	+inf

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch38.0ms (1.3%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.0746127854533917e+96	4.445601104176118e+96
20.0ms	4.185601465516902e+54	1.5363060488592048e+60
8.0ms	3.61634349064055e-45	4.3333042436994424e-45

Results

30.0ms	240×	256	valid
3.0ms	31×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 256 to 200 computations (21.9% saved)

Precisions

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

Operation ival-mult, time spent: 7.0ms, 74.0% of total-time

Operation ival-sub, time spent: 2.0ms, 21.0% of total-time

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

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	238
1	51	226
2	72	226
3	85	222
4	94	222
5	98	222

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) z)) (*.f64 x x))
(if (<=.f64 (.f64 x x) #s(literal 3454916795156829/803469022129495137770981046170581301261101496891396417650688 binary64)) (.f64 y (.f64 #s(literal -4 binary64) z)) (if (<=.f64 (.f64 x x) #s(literal 85000000000000000189415962892849920791838084286723915776 binary64)) (.f64 x x) (if (<=.f64 (.f64 x x) #s(literal 2599999999999999963640761196346624084995333953685016895646871602928857230691802686255330788114432 binary64)) (.f64 y (.f64 #s(literal -4 binary64) z)) (*.f64 x x))))
(*.f64 x x)

Outputs
(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) z)) (*.f64 x x))
(if (<=.f64 (.f64 x x) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (-.f64 (.f64 x x) (.f64 z (.f64 y #s(literal 4 binary64)))) (*.f64 x x))
(if (<=.f64 (.f64 x x) #s(literal 3454916795156829/803469022129495137770981046170581301261101496891396417650688 binary64)) (.f64 y (.f64 #s(literal -4 binary64) z)) (if (<=.f64 (.f64 x x) #s(literal 85000000000000000189415962892849920791838084286723915776 binary64)) (.f64 x x) (if (<=.f64 (.f64 x x) #s(literal 2599999999999999963640761196346624084995333953685016895646871602928857230691802686255330788114432 binary64)) (.f64 y (.f64 #s(literal -4 binary64) z)) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 3454916795156829/803469022129495137770981046170581301261101496891396417650688 binary64)) (.f64 y (.f64 z #s(literal -4 binary64))) (if (or (<=.f64 (.f64 x x) #s(literal 85000000000000000189415962892849920791838084286723915776 binary64)) (not (<=.f64 (.f64 x x) #s(literal 2599999999999999963640761196346624084995333953685016895646871602928857230691802686255330788114432 binary64)))) (.f64 x x) (.f64 y (.f64 z #s(literal -4 binary64)))))
(if (or (<=.f64 (.f64 x x) #s(literal 3454916795156829/803469022129495137770981046170581301261101496891396417650688 binary64)) (not (or (<=.f64 (.f64 x x) #s(literal 85000000000000000189415962892849920791838084286723915776 binary64)) (not (<=.f64 (.f64 x x) #s(literal 2599999999999999963640761196346624084995333953685016895646871602928857230691802686255330788114432 binary64)))))) (.f64 y (.f64 z #s(literal -4 binary64))) (.f64 x x))
(if (or (<=.f64 (.f64 x x) #s(literal 3454916795156829/803469022129495137770981046170581301261101496891396417650688 binary64)) (and (not (<=.f64 (.f64 x x) #s(literal 85000000000000000189415962892849920791838084286723915776 binary64))) (<=.f64 (.f64 x x) #s(literal 2599999999999999963640761196346624084995333953685016895646871602928857230691802686255330788114432 binary64)))) (.f64 y (.f64 z #s(literal -4 binary64))) (.f64 x x))
(*.f64 x x)

Compiler

Compiled 68 to 39 computations (42.6% saved)

soundness516.0ms (17.7%)

Rules

793×	`log1p-expm1-u`
793×	`expm1-log1p-u`
675×	`fma-define`
425×	`fma-define`
410×	`times-frac`

Iterations

Useful iterations: 0 (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	7	10
1	48	10
2	460	10
3	4337	10
0	363	13441
1	843	13223
2	2330	12619
3	7880	12319

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 97 to 57 computations (41.2% saved)

end0.0ms (0%)

preprocess49.0ms (1.7%)

Remove

(sort y z)

(abs x)

Compiler

Compiled 394 to 204 computations (48.2% saved)

analyze0.0ms (0%)

sample1.0s (35.8%)

preprocess217.0ms (7.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize76.0ms (2.6%)

series10.0ms (0.4%)

rewrite249.0ms (8.5%)

simplify212.0ms (7.3%)

eval91.0ms (3.1%)

prune36.0ms (1.2%)

localize40.0ms (1.4%)

series4.0ms (0.1%)

rewrite122.0ms (4.2%)

simplify67.0ms (2.3%)

eval18.0ms (0.6%)

prune12.0ms (0.4%)

localize30.0ms (1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes21.0ms (0.7%)

regimes25.0ms (0.9%)

regimes18.0ms (0.6%)

regimes2.0ms (0.1%)

bsearch0.0ms (0%)

bsearch38.0ms (1.3%)

simplify12.0ms (0.4%)

soundness516.0ms (17.7%)

end0.0ms (0%)

preprocess49.0ms (1.7%)

Profiling