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 (43.5%)

Results

943.0ms	5457×	256	valid
430.0ms	2798×	256	infinite
0.0ms	1×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 361.0ms

Operation ival-mult, time spent: 270.0ms, 75.0% of total-time

Operation ival-sub, time spent: 71.0ms, 20.0% of total-time

Operation const, time spent: 20.0ms, 6.0% of total-time

Bogosity

preprocess394.0ms (11.7%)

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
2	-	-	`(-.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: 34.0ms

Operation ival-mult, time spent: 29.0ms, 84.0% of total-time

Operation ival-sub, time spent: 4.0ms, 12.0% of total-time

Operation const, time spent: 2.0ms, 6.0% 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
▶	99.2%	(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
▶	99.2%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize83.0ms (2.5%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.2%	(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
✓	99.4%	(-.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: 33.0ms

Operation ival-mult, time spent: 25.0ms, 75.0% of total-time

Operation composed, time spent: 4.0ms, 12.0% 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: 2.0ms, 6.0% of total-time

series9.0ms (0.3%)

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
1.0ms	x	@	0	(- (* x x) (* (* y 4) z))
1.0ms	y	@	0	(+ (* x x) (* y (* z -4)))
1.0ms	y	@	inf	(- (* x x) (* (* y 4) z))
1.0ms	z	@	inf	(- (* x x) (* (* y 4) z))
1.0ms	y	@	0	(- (* x x) (* (* y 4) z))

rewrite280.0ms (8.3%)

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 (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)))

eval116.0ms (3.4%)

Compiler: Compiled 5459 to 3442 computations (36.9% saved)

prune34.0ms (1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	293	3	296
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	293	5	298

Accuracy

100.0%

Counts

298 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
▶	53.7%	(pow.f64 x #s(literal 2 binary64))
✓	99.2%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
▶	94.8%	(.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 #s(literal 4 binary64) y)))
▶	50.7%	(.f64 #s(literal -4 binary64) (.f64 y z))

Compiler

Compiled 51 to 36 computations (29.4% saved)

localize152.0ms (4.5%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	94.8%	(.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (.f64 #s(literal 4 binary64) y)))
✓	91.1%	(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
✓	100.0%	(.f64 #s(literal -4 binary64) (.f64 y z))

Compiler

Compiled 56 to 33 computations (41.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

Operation ival-pow, time spent: 30.0ms, 43.0% of total-time

Operation ival-mult, time spent: 22.0ms, 31.0% of total-time

Operation ival-div, time spent: 9.0ms, 13.0% of total-time

Operation ival-sub, time spent: 6.0ms, 9.0% of total-time

Operation const, time spent: 4.0ms, 6.0% of total-time

series12.0ms (0.4%)

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

rewrite122.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

696×	`log1p-expm1-u`
696×	`expm1-log1p-u`
635×	`log-prod`
297×	`fma-define`
196×	`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))

eval41.0ms (1.2%)

Compiler: Compiled 1576 to 1064 computations (32.5% saved)

prune14.0ms (0.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	0	0	0
Picked	2	1	3
Done	0	2	2
Total	117	5	122

Accuracy

100.0%

Counts

122 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
✓	99.2%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
▶	50.7%	(+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -4 binary64) z) y))
▶	94.7%	(.f64 z (-.f64 (.f64 x (/.f64 x z)) (*.f64 #s(literal 4 binary64) y)))
✓	50.7%	(.f64 #s(literal -4 binary64) (.f64 y z))

Compiler

Compiled 55 to 38 computations (30.9% saved)

localize82.0ms (2.4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.8%	(*.f64 x (/.f64 x z))
✓	94.8%	(.f64 z (-.f64 (.f64 x (/.f64 x z)) (*.f64 #s(literal 4 binary64) y)))

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

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

Operation ival-mult, time spent: 20.0ms, 70.0% of total-time

Operation ival-div, time spent: 3.0ms, 11.0% 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

Operation ival-add, time spent: 1.0ms, 4.0% 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	z	@	0	(* x (/ x z))
0.0ms	z	@	-inf	(* z (- (* x (/ x z)) (* 4 y)))
0.0ms	y	@	-inf	(* z (- (* x (/ x z)) (* 4 y)))
0.0ms	z	@	0	(* z (- (* x (/ x z)) (* 4 y)))
0.0ms	x	@	inf	(* z (- (* x (/ x z)) (* 4 y)))

rewrite125.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

997×	`log1p-expm1-u`
997×	`expm1-log1p-u`
539×	`log-prod`
441×	`fma-define`
193×	`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)))

eval47.0ms (1.4%)

Compiler: Compiled 2249 to 1465 computations (34.9% saved)

prune15.0ms (0.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	143	5	148

Accuracy

100.0%

Counts

148 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 x x (.f64 y (.f64 z #s(literal -4 binary64))))
✓	99.2%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
✓	50.7%	(+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -4 binary64) z) y))
✓	94.7%	(.f64 z (-.f64 (.f64 x (/.f64 x z)) (*.f64 #s(literal 4 binary64) y)))
✓	50.7%	(.f64 #s(literal -4 binary64) (.f64 y z))

Compiler

Compiled 112 to 73 computations (34.8% saved)

regimes20.0ms (0.6%)

Counts

7 → 1

Calls

Call 1

Inputs
(.f64 #s(literal -4 binary64) (.f64 y z))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -4 binary64) z) y))
(-.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:

4.0ms	y
4.0ms	(*.f64 y #s(literal 4 binary64))
3.0ms	z
3.0ms	x
2.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`z`
99.2%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
99.2%	1	`(*.f64 x x)`
99.2%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
99.2%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes15.0ms (0.4%)

Counts

5 → 1

Calls

Call 1

Inputs
(.f64 #s(literal -4 binary64) (.f64 y z))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -4 binary64) z) y))
(-.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:

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

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`z`
99.2%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
99.2%	1	`(*.f64 x x)`
99.2%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
99.2%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes5.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 #s(literal -4 binary64) (.f64 y z))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -4 binary64) z) y))

Outputs
(+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -4 binary64) z) y))

Calls

3 calls:

1.0ms	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
50.7%	1	`x`
50.7%	1	`y`
50.7%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Stop Event

1×

done

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
50.7%	1	`y`
50.7%	1	`z`
50.7%	1	`x`

Compiler

Compiled 53 to 38 computations (28.3% saved)

soundness272.0ms (8.1%)

Rules

696×	`log1p-expm1-u`
696×	`expm1-log1p-u`
635×	`log-prod`
425×	`fma-define`
297×	`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	81
1	232	81
2	3104	77

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 129 to 80 computations (38% saved)

end0.0ms (0%)

preprocess51.0ms (1.5%)

Remove

(sort y z)

(abs x)

Compiler

Compiled 264 to 168 computations (36.4% saved)

analyze0.0ms (0%)

sample1.5s (43.5%)

preprocess394.0ms (11.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize83.0ms (2.5%)

series9.0ms (0.3%)

rewrite280.0ms (8.3%)

eval116.0ms (3.4%)

prune34.0ms (1%)

localize152.0ms (4.5%)

series12.0ms (0.4%)

rewrite122.0ms (3.6%)

eval41.0ms (1.2%)

prune14.0ms (0.4%)

localize82.0ms (2.4%)

series4.0ms (0.1%)

rewrite125.0ms (3.7%)

eval47.0ms (1.4%)

prune15.0ms (0.5%)

regimes20.0ms (0.6%)

regimes15.0ms (0.4%)

regimes5.0ms (0.1%)

regimes6.0ms (0.2%)

soundness272.0ms (8.1%)

end0.0ms (0%)

preprocess51.0ms (1.5%)

Profiling