Metrics for Graphics.Rendering.Chart.Drawing:drawTextsR from Chart-1.5.3

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample1.1s (15.7%)

Results

836.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 351.0ms

ival-mult: 245.0ms (69.8% of total)

ival-sub: 47.0ms (13.4% of total)

ival-add: 46.0ms (13.1% of total)

const: 12.0ms (3.4% of total)

backward-pass: 2.0ms (0.6% of total)

Bogosity

preprocess204.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1071×	`fma-neg`
570×	`fma-define`
209×	`distribute-rgt-in`
189×	`unsub-neg`
126×	`sub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	399
1	100	391
2	228	381
3	636	353
4	1606	329
5	3164	329
6	3531	329
7	3594	329
8	3602	329
9	3602	329
10	4062	329
11	4062	329

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))
(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))
(+.f64 (.f64 (neg.f64 x) y) (.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) z))
(+.f64 (.f64 x (neg.f64 y)) (.f64 (-.f64 x #s(literal 1 binary64)) z))
(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 z)))
(neg.f64 (+.f64 (.f64 (neg.f64 x) y) (.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) z)))
(neg.f64 (+.f64 (.f64 x (neg.f64 y)) (.f64 (-.f64 x #s(literal 1 binary64)) z)))
(neg.f64 (+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 z))))
(+.f64 (.f64 y x) (.f64 (-.f64 y #s(literal 1 binary64)) z))
(+.f64 (.f64 z y) (.f64 (-.f64 z #s(literal 1 binary64)) x))
(+.f64 (.f64 x z) (.f64 (-.f64 x #s(literal 1 binary64)) y))

Outputs
(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))
(fma.f64 x y (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x y))
(-.f64 (*.f64 x (+.f64 z y)) z)
(-.f64 (*.f64 x (+.f64 y z)) z)
(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))
(fma.f64 x y (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x y))
(-.f64 (*.f64 x (+.f64 z y)) z)
(-.f64 (*.f64 x (+.f64 y z)) z)
(+.f64 (.f64 (neg.f64 x) y) (.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) z))
(fma.f64 (neg.f64 x) y (*.f64 z (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(-.f64 (.f64 z (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (.f64 x y))
(-.f64 (.f64 z (-.f64 #s(literal -1 binary64) x)) (.f64 x y))
(-.f64 (*.f64 (neg.f64 x) (+.f64 y z)) z)
(neg.f64 (fma.f64 x (+.f64 y z) z))
(+.f64 (.f64 x (neg.f64 y)) (.f64 (-.f64 x #s(literal 1 binary64)) z))
(fma.f64 x (neg.f64 y) (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 (neg.f64 x) (-.f64 y z)) z)
(neg.f64 (fma.f64 x (-.f64 y z) z))
(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 z)))
(fma.f64 x y (*.f64 (+.f64 x #s(literal -1 binary64)) (neg.f64 z)))
(-.f64 (.f64 x y) (.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 x y (fma.f64 x (neg.f64 z) z))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(neg.f64 (+.f64 (.f64 (neg.f64 x) y) (.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) z)))
(neg.f64 (fma.f64 (neg.f64 x) y (*.f64 z (+.f64 (neg.f64 x) #s(literal -1 binary64)))))
(-.f64 (.f64 x y) (.f64 z (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(fma.f64 z (+.f64 x #s(literal 1 binary64)) (*.f64 x y))
(+.f64 z (*.f64 x (+.f64 z y)))
(fma.f64 x (+.f64 y z) z)
(neg.f64 (+.f64 (.f64 x (neg.f64 y)) (.f64 (-.f64 x #s(literal 1 binary64)) z)))
(fma.f64 x y (*.f64 (+.f64 x #s(literal -1 binary64)) (neg.f64 z)))
(-.f64 (.f64 x y) (.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 x y (fma.f64 x (neg.f64 z) z))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(neg.f64 (+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 z))))
(fma.f64 x (neg.f64 y) (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 (neg.f64 x) (-.f64 y z)) z)
(neg.f64 (fma.f64 x (-.f64 y z) z))
(+.f64 (.f64 y x) (.f64 (-.f64 y #s(literal 1 binary64)) z))
(fma.f64 y x (*.f64 z (+.f64 y #s(literal -1 binary64))))
(fma.f64 x y (*.f64 z (+.f64 y #s(literal -1 binary64))))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) (*.f64 x y))
(-.f64 (*.f64 y (+.f64 x z)) z)
(fma.f64 y (+.f64 x z) (neg.f64 z))
(+.f64 (.f64 z y) (.f64 (-.f64 z #s(literal 1 binary64)) x))
(fma.f64 z y (*.f64 x (+.f64 z #s(literal -1 binary64))))
(fma.f64 x (+.f64 z #s(literal -1 binary64)) (*.f64 y z))
(-.f64 (*.f64 z (+.f64 y x)) x)
(fma.f64 z (+.f64 x y) (neg.f64 x))
(+.f64 (.f64 x z) (.f64 (-.f64 x #s(literal 1 binary64)) y))
(fma.f64 x z (*.f64 y (+.f64 x #s(literal -1 binary64))))
(fma.f64 y (+.f64 x #s(literal -1 binary64)) (*.f64 x z))
(-.f64 (*.f64 x (+.f64 z y)) y)
(fma.f64 x (+.f64 y z) (neg.f64 y))

explain69.0ms (1%)

FPErrors

Click to see full error table

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

Results

43.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

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

ival-mult: 8.0ms (55.6% of total)

ival-sub: 3.0ms (20.8% of total)

ival-add: 2.0ms (13.9% of total)

const: 1.0ms (6.9% of total)

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

eval1.0ms (0%)

Compiler: Compiled 33 to 15 computations (54.5% saved)

prune5.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x y))
▶	99.2%	(fma.f64 x y (*.f64 (+.f64 x #s(literal -1 binary64)) z))
▶	100.0%	(-.f64 (*.f64 x (+.f64 z y)) z)

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	6400	(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x y))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 (+.f64 x #s(literal -1 binary64)) z)
✓	cost-diff	6400	(fma.f64 x y (*.f64 (+.f64 x #s(literal -1 binary64)) z))
✓	cost-diff	-6336	(-.f64 (*.f64 x (+.f64 z y)) z)
✓	cost-diff	0	(+.f64 z y)
✓	cost-diff	0	(*.f64 x (+.f64 z y))

Rules

360×	`fma-define`
323×	`fma-neg`
79×	`cancel-sign-sub-inv`
63×	`distribute-rgt-in`
45×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	218
1	35	218
2	59	218
3	94	218
4	138	218
5	214	218
6	449	218
7	919	218
8	1296	218
9	1471	218
10	1481	218

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (*.f64 x (+.f64 z y)) z)
(*.f64 x (+.f64 z y))
x
(+.f64 z y)
z
y
(fma.f64 x y (*.f64 (+.f64 x #s(literal -1 binary64)) z))
x
y
(*.f64 (+.f64 x #s(literal -1 binary64)) z)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
z
(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x y))
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
z
(*.f64 x y)
y

Outputs
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(*.f64 x (+.f64 z y))
x
(+.f64 z y)
z
y
(fma.f64 x y (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
x
y
(*.f64 (+.f64 x #s(literal -1 binary64)) z)
(*.f64 z (+.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
z
(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x y))
(fma.f64 x (+.f64 z y) (neg.f64 z))
(-.f64 (*.f64 x (+.f64 z y)) z)
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
z
(*.f64 x y)
y

localize185.0ms (2.6%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.6%	(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x y))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal -1 binary64)) z)
✓	accuracy	99.2%	(fma.f64 x y (*.f64 (+.f64 x #s(literal -1 binary64)) z))
✓	accuracy	100.0%	(+.f64 z y)
✓	accuracy	100.0%	(-.f64 (*.f64 x (+.f64 z y)) z)
✓	accuracy	100.0%	(*.f64 x (+.f64 z y))

Results

170.0ms

256×

valid

Compiler

Compiled 60 to 13 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-fma: 9.0ms (44.3% of total)

ival-mult: 6.0ms (29.5% of total)

ival-add: 3.0ms (14.8% of total)

ival-sub: 2.0ms (9.8% of total)

const: 0.0ms (0% of total)

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

series23.0ms (0.3%)

Counts

8 → 204

Calls

Call 1

Inputs
#<alt (*.f64 x (+.f64 z y))>
#<alt (+.f64 z y)>
#<alt (-.f64 (*.f64 x (+.f64 z y)) z)>
#<alt (fma.f64 x y (*.f64 (+.f64 x #s(literal -1 binary64)) z))>
#<alt (*.f64 (+.f64 x #s(literal -1 binary64)) z)>
#<alt (+.f64 x #s(literal -1 binary64))>
#<alt (fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x y))>
#<alt (*.f64 x y)>

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

Calls

57 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+ (* x y) (* (+ x -1) z))
1.0ms	x	@	0	(* x (+ z y))
1.0ms	x	@	-inf	(+ (* x y) (* (+ x -1) z))
1.0ms	z	@	-inf	(* x (+ z y))
1.0ms	x	@	inf	(* x (+ z y))

rewrite326.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`log1p-expm1-u`
834×	`expm1-log1p-u`
660×	`fma-define`
382×	`fma-neg`
222×	`log1p-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	174
1	265	174
2	3817	174

Stop Event

1×	node limit

Counts

8 → 365

Calls

Call 1

Inputs
(*.f64 x (+.f64 z y))
(+.f64 z y)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x y (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(*.f64 (+.f64 x #s(literal -1 binary64)) z)
(+.f64 x #s(literal -1 binary64))
(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x y))
(*.f64 x y)

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

simplify498.0ms (7%)

Algorithm

1×	egg-herbie

Rules

494×	`distribute-lft-neg-in`
414×	`distribute-rgt-neg-in`
290×	`associate-r`
279×	`unsub-neg`
278×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	692	17641
1	1616	17053
2	4818	17020

Stop Event

1×	node limit

Counts

569 → 433

Calls

Call 1

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

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

eval61.0ms (0.9%)

Compiler: Compiled 6651 to 1201 computations (81.9% saved)

prune235.0ms (3.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	474	5	479
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	476	6	482

Accuracy

100.0%

Counts

482 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.9%	(-.f64 (.f64 z (+.f64 x (.f64 x (/.f64 y z)))) z)
✓	100.0%	(-.f64 (*.f64 x (+.f64 z y)) z)
▶	61.3%	(-.f64 (*.f64 x z) z)
▶	73.7%	(-.f64 (*.f64 x y) z)
▶	82.0%	(.f64 y (+.f64 x (.f64 z (/.f64 (+.f64 x #s(literal -1 binary64)) y))))
▶	33.1%	(neg.f64 z)

Compiler

Compiled 108 to 68 computations (37% saved)

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6080	(.f64 y (+.f64 x (.f64 z (/.f64 (+.f64 x #s(literal -1 binary64)) y))))
	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓	cost-diff	0	(*.f64 z (/.f64 (+.f64 x #s(literal -1 binary64)) y))
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(-.f64 (*.f64 x z) z)
✓	cost-diff	-6336	(-.f64 (*.f64 x y) z)
	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	-6080	(-.f64 (.f64 z (+.f64 x (.f64 x (/.f64 y z)))) z)
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(*.f64 x (/.f64 y z))
✓	cost-diff	256	(.f64 z (+.f64 x (.f64 x (/.f64 y z))))

Rules

837×	`div-sub`
497×	`fma-define`
397×	`associate-/l/`
364×	`distribute-lft-neg-out`
293×	`distribute-lft-neg-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	425
1	58	396
2	129	390
3	261	378
4	515	360
5	998	360
6	2852	360
7	5720	360

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(-.f64 (.f64 z (+.f64 x (.f64 x (/.f64 y z)))) z)
(*.f64 z (+.f64 (fma.f64 x (/.f64 y z) x) #s(literal -1 binary64)))
(*.f64 z (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x #s(literal -1 binary64)))
(-.f64 (.f64 x (+.f64 z (.f64 y #s(literal 1 binary64)))) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
(.f64 z (+.f64 x (.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) x))
(.f64 x (+.f64 z (.f64 y #s(literal 1 binary64))))
(*.f64 x (+.f64 z y))
z
(+.f64 x (*.f64 x (/.f64 y z)))
(fma.f64 x (/.f64 y z) x)
x
(*.f64 x (/.f64 y z))
(/.f64 y z)
y
(neg.f64 z)
z
(-.f64 (*.f64 x y) z)
(fma.f64 x y (neg.f64 z))
(*.f64 x y)
x
y
z
(-.f64 (*.f64 x z) z)
(-.f64 (*.f64 z x) z)
(*.f64 z (+.f64 x #s(literal -1 binary64)))
(*.f64 x z)
(*.f64 z x)
x
z
(.f64 y (+.f64 x (.f64 z (/.f64 (+.f64 x #s(literal -1 binary64)) y))))
(-.f64 (.f64 z (+.f64 x (.f64 x (/.f64 y z)))) z)
(*.f64 z (+.f64 (fma.f64 x (/.f64 y z) x) #s(literal -1 binary64)))
(*.f64 z (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x #s(literal -1 binary64)))
(-.f64 (.f64 x (+.f64 z (.f64 y #s(literal 1 binary64)))) z)
(-.f64 (*.f64 x (+.f64 z y)) z)
(fma.f64 x (+.f64 z y) (neg.f64 z))
y
(+.f64 x (*.f64 z (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
(fma.f64 z (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)
x
(*.f64 z (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 z y))
z
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)

localize157.0ms (2.2%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓	accuracy	100.0%	(+.f64 x (*.f64 z (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
✓	accuracy	95.7%	(*.f64 z (/.f64 (+.f64 x #s(literal -1 binary64)) y))
✓	accuracy	86.3%	(.f64 y (+.f64 x (.f64 z (/.f64 (+.f64 x #s(literal -1 binary64)) y))))
✓	accuracy	100.0%	(-.f64 (*.f64 x z) z)
✓	accuracy	100.0%	(*.f64 x z)
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 (*.f64 x y) z)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(-.f64 (.f64 z (+.f64 x (.f64 x (/.f64 y z)))) z)
✓	accuracy	100.0%	(+.f64 x (*.f64 x (/.f64 y z)))
✓	accuracy	92.7%	(*.f64 x (/.f64 y z))
✓	accuracy	91.1%	(.f64 z (+.f64 x (.f64 x (/.f64 y z))))

Results

50.0ms

256×

valid

Compiler

Compiled 105 to 20 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 11.0ms (46.5% of total)

ival-sub: 4.0ms (16.9% of total)

ival-div: 4.0ms (16.9% of total)

ival-add: 4.0ms (16.9% of total)

ival-neg: 1.0ms (4.2% of total)

const: 0.0ms (0% of total)

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

series86.0ms (1.2%)

Counts

13 → 339

Calls

Call 1

Inputs
#<alt (.f64 z (+.f64 x (.f64 x (/.f64 y z))))>
#<alt (*.f64 x (/.f64 y z))>
#<alt (/.f64 y z)>
#<alt (-.f64 (.f64 z (+.f64 x (.f64 x (/.f64 y z)))) z)>
#<alt (neg.f64 z)>
#<alt (-.f64 (*.f64 x y) z)>
#<alt (-.f64 (*.f64 x z) z)>
#<alt (*.f64 x z)>
#<alt (*.f64 z (/.f64 (+.f64 x #s(literal -1 binary64)) y))>
#<alt (/.f64 (+.f64 x #s(literal -1 binary64)) y)>
#<alt (.f64 y (+.f64 x (.f64 z (/.f64 (+.f64 x #s(literal -1 binary64)) y))))>
#<alt (+.f64 x (*.f64 x (/.f64 y z)))>
#<alt (+.f64 x (*.f64 z (/.f64 (+.f64 x #s(literal -1 binary64)) y)))>

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

Calls

99 calls:

Time	Variable		Point	Expression
44.0ms	x	@	0	(- (* z (+ x (* x (/ y z)))) z)
3.0ms	x	@	inf	(* z (/ (+ x -1) y))
2.0ms	x	@	0	(/ (+ x -1) y)
2.0ms	z	@	0	(* z (+ x (* x (/ y z))))
1.0ms	x	@	inf	(* z (+ x (* x (/ y z))))

rewrite235.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

491×	`log1p-expm1-u`
216×	`expm1-log1p-u`
215×	`associate-r`
213×	`add-cube-cbrt`
211×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	350
1	453	313
2	7472	313

Stop Event

1×	node limit

Counts

13 → 437

Calls

Call 1

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

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

simplify418.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

671×	`associate-r`
530×	`fma-define`
417×	`times-frac`
367×	`distribute-rgt-in`
358×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1001	27758
1	2348	26439

Stop Event

1×	node limit

Counts

776 → 686

Calls

Call 1

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

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

eval267.0ms (3.8%)

Compiler: Compiled 10983 to 2349 computations (78.6% saved)

prune103.0ms (1.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	744	3	747
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	746	7	753

Accuracy

100.0%

Counts

753 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x (+.f64 z y)) z)
✓	61.3%	(-.f64 (*.f64 x z) z)
✓	73.7%	(-.f64 (*.f64 x y) z)
▶	60.6%	(.f64 z (+.f64 (.f64 x (/.f64 y z)) #s(literal -1 binary64)))
▶	55.1%	(.f64 y (+.f64 x (.f64 z (/.f64 x y))))
✓	33.1%	(neg.f64 z)
▶	2.6%	z

Compiler

Compiled 59 to 38 computations (35.6% saved)

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 (*.f64 x (/.f64 y z)) #s(literal -1 binary64))
✓	cost-diff	-6080	(.f64 z (+.f64 (.f64 x (/.f64 y z)) #s(literal -1 binary64)))
	cost-diff	0	(/.f64 y z)
	cost-diff	0	(*.f64 x (/.f64 y z))
✓	cost-diff	-6272	(+.f64 x (*.f64 z (/.f64 x y)))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(*.f64 z (/.f64 x y))
✓	cost-diff	256	(.f64 y (+.f64 x (.f64 z (/.f64 x y))))

Rules

750×	`fma-define`
735×	`distribute-lft-neg-in`
577×	`distribute-rgt-neg-in`
474×	`fma-neg`
435×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	227
1	41	219
2	82	219
3	121	211
4	155	194
5	277	194
6	1351	194
7	5179	194

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
z
(.f64 y (+.f64 x (.f64 z (/.f64 x y))))
(*.f64 y (fma.f64 z (/.f64 x y) x))
(fma.f64 z (.f64 x #s(literal 1 binary64)) (.f64 y x))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
y
(+.f64 x (*.f64 z (/.f64 x y)))
(fma.f64 z (/.f64 x y) x)
(fma.f64 x (/.f64 z y) x)
x
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
z
(/.f64 x y)
(.f64 z (+.f64 (.f64 x (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal -1 binary64)))
(-.f64 (.f64 y (.f64 x #s(literal 1 binary64))) z)
(-.f64 (*.f64 y x) z)
(fma.f64 y x (neg.f64 z))
z
(+.f64 (*.f64 x (/.f64 y z)) #s(literal -1 binary64))
(fma.f64 x (/.f64 y z) #s(literal -1 binary64))
(fma.f64 y (/.f64 x z) #s(literal -1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 x (/.f64 z y))
x
(/.f64 y z)
y
#s(literal -1 binary64)

localize88.0ms (1.2%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(+.f64 (*.f64 x (/.f64 y z)) #s(literal -1 binary64))
	accuracy	92.7%	(*.f64 x (/.f64 y z))
✓	accuracy	91.1%	(.f64 z (+.f64 (.f64 x (/.f64 y z)) #s(literal -1 binary64)))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 x (*.f64 z (/.f64 x y)))
✓	accuracy	91.1%	(*.f64 z (/.f64 x y))
✓	accuracy	89.2%	(.f64 y (+.f64 x (.f64 z (/.f64 x y))))

Results

33.0ms

256×

valid

Compiler

Compiled 60 to 13 computations (78.3% saved)

Precisions

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

ival-mult: 7.0ms (46% of total)

ival-div: 5.0ms (32.8% of total)

ival-add: 3.0ms (19.7% of total)

const: 0.0ms (0% of total)

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

series23.0ms (0.3%)

Counts

6 → 180

Calls

Call 1

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

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

Calls

51 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* z (+ (* x (/ y z)) -1))
2.0ms	x	@	0	(* z (+ (* x (/ y z)) -1))
1.0ms	x	@	-inf	(* y (+ x (* z (/ x y))))
1.0ms	y	@	-inf	(* y (+ x (* z (/ x y))))
1.0ms	y	@	0	(* y (+ x (* z (/ x y))))

rewrite165.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

947×	`log1p-expm1-u`
947×	`expm1-log1p-u`
438×	`fma-define`
282×	`fma-neg`
142×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	163
1	276	155
2	4282	155

Stop Event

1×	node limit

Counts

6 → 279

Calls

Call 1

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

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

simplify273.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

677×	`fma-neg`
423×	`associate-r`
369×	`associate-l`
341×	`cube-prod`
305×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	657	13526
1	1621	12958
2	5075	12821

Stop Event

1×	node limit

Counts

459 → 371

Calls

Call 1

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

Outputs
(*.f64 x z)
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(*.f64 x y)
(.f64 y (+.f64 x (/.f64 (.f64 x z) y)))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(.f64 y (+.f64 x (/.f64 (.f64 x z) y)))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(.f64 y (+.f64 x (/.f64 (.f64 x z) y)))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(.f64 #s(literal -1 binary64) (.f64 x (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64)))))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(.f64 #s(literal -1 binary64) (.f64 x (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64)))))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(.f64 #s(literal -1 binary64) (.f64 x (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64)))))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(.f64 #s(literal -1 binary64) (.f64 x (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64)))))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(*.f64 x y)
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(+.f64 (.f64 x y) (.f64 x z))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(*.f64 x z)
(.f64 z (+.f64 x (/.f64 (.f64 x y) z)))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(.f64 z (+.f64 x (/.f64 (.f64 x y) z)))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(.f64 z (+.f64 x (/.f64 (.f64 x y) z)))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(*.f64 x z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 x (+.f64 y z))
(*.f64 x (+.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(fma.f64 x (/.f64 z y) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(fma.f64 x (/.f64 z y) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(fma.f64 x (/.f64 z y) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(fma.f64 x (/.f64 z y) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(fma.f64 x (/.f64 z y) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(fma.f64 x (/.f64 z y) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(fma.f64 x (/.f64 z y) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(fma.f64 x (/.f64 z y) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(fma.f64 x (/.f64 z y) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(fma.f64 x (/.f64 z y) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(fma.f64 x (/.f64 z y) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(fma.f64 x (/.f64 z y) x)
x
(+.f64 x (/.f64 (*.f64 x z) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(fma.f64 x (/.f64 z y) x)
(+.f64 x (/.f64 (*.f64 x z) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(fma.f64 x (/.f64 z y) x)
(+.f64 x (/.f64 (*.f64 x z) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(fma.f64 x (/.f64 z y) x)
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(*.f64 z (+.f64 (/.f64 x y) (/.f64 x z)))
(*.f64 z (+.f64 (/.f64 x y) (/.f64 x z)))
(*.f64 z (+.f64 (/.f64 x y) (/.f64 x z)))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 (/.f64 x y) (/.f64 x z)))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 (/.f64 x y) (/.f64 x z)))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 (/.f64 x y) (/.f64 x z)))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 (+.f64 (.f64 x y) (.f64 x z)) y)
(/.f64 (*.f64 x (+.f64 y z)) y)
(*.f64 x (/.f64 (+.f64 z y) y))
(/.f64 (+.f64 (.f64 x y) (.f64 x z)) y)
(/.f64 (*.f64 x (+.f64 y z)) y)
(*.f64 x (/.f64 (+.f64 z y) y))
(/.f64 (+.f64 (.f64 x y) (.f64 x z)) y)
(/.f64 (*.f64 x (+.f64 y z)) y)
(*.f64 x (/.f64 (+.f64 z y) y))
x
(+.f64 x (/.f64 (*.f64 x z) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(fma.f64 x (/.f64 z y) x)
(+.f64 x (/.f64 (*.f64 x z) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(fma.f64 x (/.f64 z y) x)
(+.f64 x (/.f64 (*.f64 x z) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(fma.f64 x (/.f64 z y) x)
x
(+.f64 x (/.f64 (*.f64 x z) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(fma.f64 x (/.f64 z y) x)
(+.f64 x (/.f64 (*.f64 x z) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(fma.f64 x (/.f64 z y) x)
(+.f64 x (/.f64 (*.f64 x z) y))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(fma.f64 x (/.f64 z y) x)
(*.f64 x y)
(+.f64 (.f64 #s(literal -1 binary64) z) (.f64 x y))
(fma.f64 #s(literal -1 binary64) z (*.f64 x y))
(-.f64 (*.f64 x y) z)
(fma.f64 x y (neg.f64 z))
(+.f64 (.f64 #s(literal -1 binary64) z) (.f64 x y))
(fma.f64 #s(literal -1 binary64) z (*.f64 x y))
(-.f64 (*.f64 x y) z)
(fma.f64 x y (neg.f64 z))
(+.f64 (.f64 #s(literal -1 binary64) z) (.f64 x y))
(fma.f64 #s(literal -1 binary64) z (*.f64 x y))
(-.f64 (*.f64 x y) z)
(fma.f64 x y (neg.f64 z))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(.f64 z (-.f64 (/.f64 (.f64 x y) z) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) z (*.f64 x y))
(-.f64 (*.f64 x y) z)
(fma.f64 x y (neg.f64 z))
(.f64 z (-.f64 (/.f64 (.f64 x y) z) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) z (*.f64 x y))
(-.f64 (*.f64 x y) z)
(fma.f64 x y (neg.f64 z))
(.f64 z (-.f64 (/.f64 (.f64 x y) z) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) z (*.f64 x y))
(-.f64 (*.f64 x y) z)
(fma.f64 x y (neg.f64 z))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)))))
(fma.f64 #s(literal -1 binary64) z (*.f64 x y))
(-.f64 (*.f64 x y) z)
(fma.f64 x y (neg.f64 z))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)))))
(fma.f64 #s(literal -1 binary64) z (*.f64 x y))
(-.f64 (*.f64 x y) z)
(fma.f64 x y (neg.f64 z))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)))))
(fma.f64 #s(literal -1 binary64) z (*.f64 x y))
(-.f64 (*.f64 x y) z)
(fma.f64 x y (neg.f64 z))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
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(fma.f64 x (/.f64 y z) #s(literal -1 binary64))

eval119.0ms (1.7%)

Compiler: Compiled 6406 to 1381 computations (78.4% saved)

prune103.0ms (1.5%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	434	3	437
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	434	10	444

Accuracy

100.0%

Counts

444 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x (+.f64 z y)) z)
✓	61.3%	(-.f64 (*.f64 x z) z)
✓	73.7%	(-.f64 (*.f64 x y) z)
✓	60.6%	(.f64 z (+.f64 (.f64 x (/.f64 y z)) #s(literal -1 binary64)))
✓	55.1%	(.f64 y (+.f64 x (.f64 z (/.f64 x y))))
▶	43.0%	(*.f64 y x)
▶	68.4%	(*.f64 x (+.f64 z y))
▶	30.4%	(*.f64 x z)
✓	33.1%	(neg.f64 z)
✓	2.6%	z

Compiler

Compiled 79 to 51 computations (35.4% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 y x)
	cost-diff	(+.f64 z y)
	cost-diff	(*.f64 x (+.f64 z y))
	cost-diff	(*.f64 x z)

Rules

4×	`fma-define`
3×	`*-commutative`
2×	`distribute-lft-in`
1×	`distribute-rgt-in`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	89
1	20	89
2	24	89
3	26	89

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(*.f64 x z)
x
z
(*.f64 x (+.f64 z y))
x
(+.f64 z y)
z
y
(*.f64 y x)
(*.f64 x y)
y
x

localize30.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y x)
	accuracy	100.0%	(+.f64 z y)
	accuracy	100.0%	(*.f64 x (+.f64 z y))
	accuracy	100.0%	(*.f64 x z)

Results

22.0ms

256×

valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 6.0ms (78.1% of total)

ival-add: 2.0ms (26% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

1 → 24

Calls

Call 1

Inputs
#<alt (*.f64 y x)>

Outputs
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>

Calls

6 calls:

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

rewrite61.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

502×	`associate-r`
437×	`associate-l`
251×	`log1p-expm1-u`
251×	`expm1-log1p-u`
247×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	65	13
2	706	13

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 y x)

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

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

663×	`cancel-sign-sub-inv`
433×	`sub-neg`
429×	`times-frac`
381×	`prod-exp`
310×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	877
1	160	859
2	460	845
3	2198	845
4	4680	845

Stop Event

1×	node limit

Counts

49 → 35

Calls

Call 1

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

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

eval25.0ms (0.3%)

Compiler: Compiled 1835 to 465 computations (74.7% saved)

prune46.0ms (0.6%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	0	0
Picked	0	3	3
Done	0	7	7
Total	175	10	185

Accuracy

100.0%

Counts

185 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x (+.f64 z y)) z)
✓	61.3%	(-.f64 (*.f64 x z) z)
✓	73.7%	(-.f64 (*.f64 x y) z)
✓	60.6%	(.f64 z (+.f64 (.f64 x (/.f64 y z)) #s(literal -1 binary64)))
✓	55.1%	(.f64 y (+.f64 x (.f64 z (/.f64 x y))))
✓	43.0%	(*.f64 y x)
✓	68.4%	(*.f64 x (+.f64 z y))
✓	30.4%	(*.f64 x z)
✓	33.1%	(neg.f64 z)
✓	2.6%	z

Compiler

Compiled 178 to 87 computations (51.1% saved)

regimes22.0ms (0.3%)

Counts

15 → 1

Calls

Call 1

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

Outputs
(-.f64 (*.f64 x (+.f64 z y)) z)

Calls

4 calls:

6.0ms	z
5.0ms	y
5.0ms	x
5.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes396.0ms (5.6%)

Counts

7 → 3

Calls

Call 1

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

Outputs
(*.f64 x (+.f64 z y))
(-.f64 (*.f64 x y) z)
(*.f64 x (+.f64 z y))

Calls

3 calls:

389.0ms	z
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
98.9%	3	`x`
88.6%	4	`y`
89.5%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

Outputs
(*.f64 x (+.f64 z y))
(neg.f64 z)
(*.f64 x (+.f64 z y))

Calls

2 calls:

3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
71.4%	2	`z`
89.0%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Counts

4 → 5

Calls

Call 1

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

Outputs
(*.f64 y x)
(*.f64 x z)
(neg.f64 z)
(*.f64 y x)
(*.f64 x z)

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
61.3%	4	`z`
58.6%	4	`y`
70.0%	5	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Counts

3 → 3

Calls

Call 1

Inputs
z
(neg.f64 z)
(*.f64 x z)

Outputs
(*.f64 x z)
(neg.f64 z)
(*.f64 x z)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
60.3%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
z
(neg.f64 z)

Outputs
(neg.f64 z)

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
33.1%	1	`y`
33.1%	1	`z`
33.1%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

3 calls:

1.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
2.6%	1	`x`
2.6%	1	`y`
2.6%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch32.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.0027456983576838213	423270493.4607795
14.0ms	-501.92984175150775	-1.1536193233081216e-8

Results

18.0ms

320×

valid

Compiler

Compiled 378 to 253 computations (33.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (60.1% of total)

ival-sub: 2.0ms (24.1% of total)

ival-add: 1.0ms (12% of total)

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	8.604957605677509e-59	9.391976135423896e-52
15.0ms	-501.92984175150775	-1.1536193233081216e-8

Results

18.0ms

304×

valid

Compiler

Compiled 303 to 222 computations (26.7% saved)

Precisions

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

ival-mult: 6.0ms (66.9% of total)

ival-sub: 2.0ms (22.3% of total)

ival-add: 1.0ms (11.1% of total)

const: 0.0ms (0% of total)

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

bsearch196.0ms (2.8%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
145.0ms	4.473871236039738e+65	2.461872274868258e+69
14.0ms	8.604957605677509e-59	9.391976135423896e-52
15.0ms	-501.92984175150775	-1.1536193233081216e-8
14.0ms	-7.337361436598751e+60	-1.8518782139674616e+55

Results

37.0ms

576×

valid

Compiler

Compiled 503 to 373 computations (25.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 11.0ms (55.3% of total)

ival-sub: 6.0ms (30.2% of total)

ival-add: 3.0ms (15.1% of total)

const: 1.0ms (5% of total)

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

bsearch36.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.0027456983576838213	423270493.4607795
19.0ms	-501.92984175150775	-1.1536193233081216e-8

Results

24.0ms

320×

valid

Compiler

Compiled 278 to 213 computations (23.4% saved)

Precisions

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

ival-mult: 11.0ms (76.1% of total)

ival-sub: 2.0ms (13.8% of total)

ival-add: 1.0ms (6.9% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`if-if-or-not`
4×	`*-commutative`
4×	`+-commutative`
3×	`sub-neg`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	339
1	68	339
2	72	339
3	73	339

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (*.f64 x (+.f64 z y)) z)
(if (<=.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 (.f64 x y) z) (*.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -944473296573929/37778931862957161709568 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 1644556746696189/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) (neg.f64 z) (.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -5500000000000000078441167310397074032871539922947539497648128 binary64)) (.f64 y x) (if (<=.f64 x #s(literal -1 binary64)) (.f64 x z) (if (<=.f64 x #s(literal 452754560349461/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (neg.f64 z) (if (<=.f64 x #s(literal 619999999999999968344713513253682860300840776465384431484334187216896 binary64)) (.f64 y x) (.f64 x z)))))
(if (<=.f64 x #s(literal -1 binary64)) (.f64 x z) (if (<=.f64 x #s(literal 1 binary64)) (neg.f64 z) (.f64 x z)))
(neg.f64 z)
z

Outputs
(-.f64 (*.f64 x (+.f64 z y)) z)
(if (<=.f64 x #s(literal -1 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 (.f64 x y) z) (*.f64 x (+.f64 z y))))
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 1 binary64)))) (.f64 x (+.f64 z y)) (-.f64 (.f64 x y) z))
(if (<=.f64 x #s(literal -944473296573929/37778931862957161709568 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 1644556746696189/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) (neg.f64 z) (.f64 x (+.f64 z y))))
(if (or (<=.f64 x #s(literal -944473296573929/37778931862957161709568 binary64)) (not (<=.f64 x #s(literal 1644556746696189/13479973333575319897333507543509815336818572211270286240551805124608 binary64)))) (*.f64 x (+.f64 z y)) (neg.f64 z))
(if (<=.f64 x #s(literal -5500000000000000078441167310397074032871539922947539497648128 binary64)) (.f64 y x) (if (<=.f64 x #s(literal -1 binary64)) (.f64 x z) (if (<=.f64 x #s(literal 452754560349461/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (neg.f64 z) (if (<=.f64 x #s(literal 619999999999999968344713513253682860300840776465384431484334187216896 binary64)) (.f64 y x) (.f64 x z)))))
(if (<=.f64 x #s(literal -5500000000000000078441167310397074032871539922947539497648128 binary64)) (.f64 x y) (if (<=.f64 x #s(literal -1 binary64)) (.f64 x z) (if (<=.f64 x #s(literal 452754560349461/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (neg.f64 z) (if (<=.f64 x #s(literal 619999999999999968344713513253682860300840776465384431484334187216896 binary64)) (.f64 x y) (.f64 x z)))))
(if (<=.f64 x #s(literal -1 binary64)) (.f64 x z) (if (<=.f64 x #s(literal 1 binary64)) (neg.f64 z) (.f64 x z)))
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 1 binary64)))) (*.f64 x z) (neg.f64 z))
(neg.f64 z)
z

soundness1.1s (15.8%)

Rules

1071×	`fma-neg`
677×	`fma-neg`
671×	`associate-r`
570×	`fma-define`
530×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	399
1	100	391
2	228	381
3	636	353
4	1606	329
5	3164	329
6	3531	329
7	3594	329
8	3602	329
9	3602	329
10	4062	329
11	4062	329
0	692	17641
1	1616	17053
2	4818	17020
0	1001	27758
1	2348	26439
0	26	350
1	453	313
2	7472	313
0	657	13526
1	1621	12958
2	5075	12821

Stop Event

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

Compiler

Compiled 360 to 144 computations (60% saved)

preprocess42.0ms (0.6%)

Compiler: Compiled 208 to 86 computations (58.7% saved)

analyze0.0ms (0%)

sample1.1s (15.7%)

preprocess204.0ms (2.9%)

explain69.0ms (1%)

eval1.0ms (0%)

prune5.0ms (0.1%)

simplify45.0ms (0.6%)

localize185.0ms (2.6%)

series23.0ms (0.3%)

rewrite326.0ms (4.6%)

simplify498.0ms (7%)

eval61.0ms (0.9%)

prune235.0ms (3.3%)

simplify78.0ms (1.1%)

localize157.0ms (2.2%)

series86.0ms (1.2%)

rewrite235.0ms (3.3%)

simplify418.0ms (5.9%)

eval267.0ms (3.8%)

prune103.0ms (1.5%)

simplify57.0ms (0.8%)

localize88.0ms (1.2%)

series23.0ms (0.3%)

rewrite165.0ms (2.3%)

simplify273.0ms (3.8%)

eval119.0ms (1.7%)

prune103.0ms (1.5%)

simplify8.0ms (0.1%)

localize30.0ms (0.4%)

series1.0ms (0%)

rewrite61.0ms (0.9%)

simplify65.0ms (0.9%)

eval25.0ms (0.3%)

prune46.0ms (0.6%)

regimes22.0ms (0.3%)

regimes396.0ms (5.6%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch32.0ms (0.5%)

bsearch31.0ms (0.4%)

bsearch196.0ms (2.8%)

bsearch36.0ms (0.5%)

simplify8.0ms (0.1%)

soundness1.1s (15.8%)

preprocess42.0ms (0.6%)

end0.0ms (0%)

Profiling