Metrics for Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample3.4s (34.1%)

Results

3.1s	8253×	0	valid
0.0ms	2×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 2.9s

ival-add: 2.7s (92.8% of total)

ival-div: 123.0ms (4.3% of total)

ival-mult: 70.0ms (2.4% of total)

ival-true: 7.0ms (0.2% of total)

ival-assert: 5.0ms (0.2% of total)

...in/eval/compile.rkt:70:19: 3.0ms (0.1% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess219.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1010×	`fmm-def`
531×	`fma-define`
206×	`distribute-rgt-in`
150×	`sub-neg`
128×	`associate-+l-`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	40	435
1	99	371
2	275	371
3	801	323
4	1688	297
5	2817	292
6	3293	292
7	3479	292
8	3529	292
9	3537	292
10	3537	276
11	4075	276
12	4075	276

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))
(+.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 x y z))
(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))
(+.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 x y z))
(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
(+.f64 (+.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 y (neg.f64 x))) z)
(+.f64 z (+.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 x (neg.f64 y))))
(-.f64 z (fma.f64 x y (/.f64 x #s(literal 2 binary64))))
(+.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
(fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) x)) z)
(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x (neg.f64 y)) z))
(+.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 y (neg.f64 x) z))
(+.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 z (*.f64 x y)))
(-.f64 z (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(+.f64 z (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (neg.f64 z))
(-.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x y)) z)
(-.f64 (fma.f64 x y (/.f64 x #s(literal 2 binary64))) z)
(-.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))
(neg.f64 (+.f64 (+.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 y (neg.f64 x))) z))
(-.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x y)) z)
(-.f64 (fma.f64 x y (/.f64 x #s(literal 2 binary64))) z)
(-.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))
(neg.f64 (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) x)) z))
(neg.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x (neg.f64 y)) z)))
(-.f64 (/.f64 x #s(literal -2 binary64)) (fma.f64 y (neg.f64 x) z))
(+.f64 (.f64 x y) (-.f64 (.f64 x #s(literal -1/2 binary64)) z))
(-.f64 (*.f64 x (+.f64 y #s(literal -1/2 binary64))) z)
(neg.f64 (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (neg.f64 z)))
(+.f64 z (+.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 x (neg.f64 y))))
(-.f64 z (fma.f64 x y (/.f64 x #s(literal 2 binary64))))
(+.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
(fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z)
(+.f64 (+.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x y)) z)
(+.f64 z (+.f64 (*.f64 x y) (/.f64 y #s(literal 2 binary64))))
(+.f64 z (fma.f64 x y (/.f64 y #s(literal 2 binary64))))
(+.f64 z (fma.f64 x y (*.f64 y #s(literal 1/2 binary64))))
(+.f64 z (*.f64 y (+.f64 x #s(literal 1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal 1/2 binary64)) z)
(+.f64 (+.f64 (/.f64 z #s(literal 2 binary64)) (*.f64 y z)) x)
(+.f64 x (+.f64 (/.f64 z #s(literal 2 binary64)) (*.f64 y z)))
(+.f64 x (fma.f64 y z (/.f64 z #s(literal 2 binary64))))
(+.f64 x (fma.f64 y z (*.f64 z #s(literal 1/2 binary64))))
(+.f64 x (*.f64 z (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 x (*.f64 z (+.f64 y #s(literal 1/2 binary64))))
(fma.f64 z (+.f64 y #s(literal 1/2 binary64)) x)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 z x)) y)
(+.f64 y (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x z)))
(+.f64 y (fma.f64 x z (/.f64 x #s(literal 2 binary64))))
(+.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 x z y))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x z y))
(+.f64 y (*.f64 x (+.f64 #s(literal 1/2 binary64) z)))
(+.f64 y (*.f64 x (+.f64 z #s(literal 1/2 binary64))))
(fma.f64 x (+.f64 z #s(literal 1/2 binary64)) y)

explain98.0ms (1%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`(/.f64 x #s(literal 2 binary64))`
-	-	`z`
-	-	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
-	-	`(*.f64 y x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Results

36.0ms

512×

valid

Compiler

Compiled 80 to 36 computations (55% saved)

Precisions

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

ival-add: 5.0ms (36.1% of total)

ival-div: 4.0ms (28.9% of total)

ival-mult: 4.0ms (28.9% of total)

ival-true: 1.0ms (7.2% of total)

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

eval1.0ms (0%)

Compiler: Compiled 33 to 17 computations (48.5% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
▶	100.0%	(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
▶	100.0%	(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify42.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-128	(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
✓	cost-diff	0	(+.f64 y #s(literal 1/2 binary64))
✓	cost-diff	-6272	(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
✓	cost-diff	0	(-.f64 #s(literal -1/2 binary64) y)
✓	cost-diff	0	(*.f64 x (-.f64 #s(literal -1/2 binary64) y))
✓	cost-diff	-6272	(+.f64 (*.f64 x y) z)
✓	cost-diff	-6144	(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))

Rules

261×	`fmm-def`
241×	`fma-define`
48×	`sub-neg`
45×	`associate--r+`
39×	`distribute-rgt-in`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	22	218
1	40	218
2	83	218
3	196	218
4	346	218
5	591	191
6	926	191
7	1133	191
8	1210	191
9	1222	191

Stop Event

1×

saturated

Calls

Call 1

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

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

localize51.0ms (0.5%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
✓	accuracy	100.0%	(-.f64 #s(literal -1/2 binary64) y)
✓	accuracy	100.0%	(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal -1/2 binary64) y))
✓	accuracy	100.0%	(/.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))
✓	accuracy	100.0%	(+.f64 (*.f64 x y) z)

Results

35.0ms

256×

valid

Compiler

Compiled 58 to 17 computations (70.7% saved)

Precisions

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

ival-mult: 4.0ms (25.9% of total)

ival-sub: 3.0ms (19.4% of total)

ival-add: 3.0ms (19.4% of total)

ival-div: 2.0ms (12.9% of total)

ival-fma: 2.0ms (12.9% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series21.0ms (0.2%)

Counts

9 → 204

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(+ (/ x 2) (+ (* x y) z))
1.0ms	x	@	0	(* x (- -1/2 y))
1.0ms	x	@	inf	(* x (- -1/2 y))
1.0ms	x	@	-inf	(* x y)
0.0ms	y	@	inf	(* x (- -1/2 y))

rewrite298.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1119×	`log1p-expm1-u`
762×	`expm1-log1p-u`
150×	`add-cube-cbrt`
148×	`add-exp-log`
148×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	174
1	318	156
2	4962	156

Stop Event

1×	node limit

Counts

9 → 298

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/2 binary64))) #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 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (.f64 (log.f64 (.f64 x y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 x y z))) (/.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x y z))))
(*.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (*.f64 x #s(literal 1/2 binary64)))))))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x #s(literal 1/2 binary64))))) (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)))))
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(log.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 1 binary64)))

simplify257.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

847×	`fmm-def`
322×	`fma-define`
299×	`associate-r`
288×	`associate-l`
273×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	679	18701
1	1706	17704
2	5775	17537

Stop Event

1×	node limit

Counts

502 → 405

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
z
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 z x))) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 z x))) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 z x))) #s(literal 1/2 binary64))))
(+.f64 z (*.f64 #s(literal 1/2 binary64) x))
(+.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y)))
(+.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y)))
(+.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y)))
(*.f64 x y)
(.f64 y (+.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 z y))))
(.f64 y (+.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 z y))))
(.f64 y (+.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.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 z (*.f64 #s(literal 1/2 binary64) x)) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) x)) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) x)) y)))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y))
(+.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y)))
(+.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y)))
(+.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y)))
z
(.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x z)) (/.f64 (*.f64 x y) z))))
(.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x z)) (/.f64 (*.f64 x y) z))))
(.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x z)) (/.f64 (*.f64 x y) z))))
z
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 x y)) z)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 x y)) z)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 x y)) z)) #s(literal 1 binary64))))
z
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 z x)))))
z
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 y (+.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 z y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 z y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 x y)
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
z
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
z
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal -1/2 binary64) x)
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal -1/2 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(literal -1/2 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(-.f64 z (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y))))
(-.f64 z (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y))))
(-.f64 z (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y))))
z
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))
z
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))
z
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 x (-.f64 (/.f64 z x) (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y))))
(.f64 x (-.f64 (/.f64 z x) (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y))))
(.f64 x (-.f64 (/.f64 z x) (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (+.f64 #s(literal 1/2 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (+.f64 #s(literal 1/2 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (+.f64 #s(literal 1/2 binary64) y))))
(-.f64 z (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (+.f64 z (.f64 x y)) (.f64 #s(literal -1/2 binary64) x))
(-.f64 (+.f64 z (.f64 x y)) (.f64 #s(literal -1/2 binary64) x))
(-.f64 (+.f64 z (.f64 x y)) (.f64 #s(literal -1/2 binary64) x))
(*.f64 x y)
(.f64 y (-.f64 (/.f64 z y) (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(.f64 y (-.f64 (/.f64 z y) (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(.f64 y (-.f64 (/.f64 z y) (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (.f64 #s(literal -1/2 binary64) x)) y)) x)))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (.f64 #s(literal -1/2 binary64) x)) y)) x)))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (.f64 #s(literal -1/2 binary64) x)) y)) x)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) y)
(+.f64 #s(literal 1/2 binary64) y)
(+.f64 #s(literal 1/2 binary64) y)
y
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
y
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
z
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal -1 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal -1 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal -1 binary64) (/.f64 z x)))))
(+.f64 z (*.f64 #s(literal 1/2 binary64) x))
(+.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y)))
(+.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y)))
(+.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y)))
(*.f64 x y)
(.f64 y (+.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 z y))))
(.f64 y (+.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 z y))))
(.f64 y (+.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.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 z (*.f64 #s(literal 1/2 binary64) x)) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) x)) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) x)) y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
z
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))
z
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
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(/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x)) (.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 z (-.f64 z (.f64 x y)))) #s(literal 1 binary64))) (.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 z (-.f64 z (.f64 x y)))) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -2 binary64)) (.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 z (-.f64 z (.f64 x y)))) (neg.f64 x))) (.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 z (-.f64 z (.f64 x y)))) #s(literal -2 binary64)))
(/.f64 (+.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 x y) z) x)) (.f64 (-.f64 (.f64 x y) z) #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x)) (.f64 (-.f64 (.f64 x y) z) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 x y) z) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (+.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal -2 binary64)) (.f64 (-.f64 (.f64 x y) z) (neg.f64 x))) (.f64 (-.f64 (.f64 x y) z) #s(literal -2 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 x y z))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (+.f64 y #s(literal 1/2 binary64)))) (-.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (fma.f64 x y z) (.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (+.f64 y #s(literal 1/2 binary64)))) (pow.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z))
(pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
z
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 z x))) #s(literal 1/2 binary64))))
(.f64 (neg.f64 x) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 y (/.f64 z x))) #s(literal -1/2 binary64)))
(*.f64 x (neg.f64 (-.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 z x))))
(*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 z x))) #s(literal 1/2 binary64))))
(.f64 (neg.f64 x) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 y (/.f64 z x))) #s(literal -1/2 binary64)))
(*.f64 x (neg.f64 (-.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 z x))))
(*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 z x))) #s(literal 1/2 binary64))))
(.f64 (neg.f64 x) (+.f64 (.f64 #s(literal -1 binary64) (+.f64 y (/.f64 z x))) #s(literal -1/2 binary64)))
(*.f64 x (neg.f64 (-.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 z x))))
(*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)) (neg.f64 x))
(+.f64 z (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) z)
(fma.f64 #s(literal 1/2 binary64) x z)
(+.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(*.f64 x y)
(.f64 y (+.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 z y))))
(*.f64 y (+.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 z y))))
(*.f64 y (+.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x z) y)))
(.f64 y (+.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 z y))))
(*.f64 y (+.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 z y))))
(*.f64 y (+.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x z) y)))
(.f64 y (+.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 z y))))
(*.f64 y (+.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 z y))))
(*.f64 y (+.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) 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 z (*.f64 #s(literal 1/2 binary64) x)) y)))))
(*.f64 y (+.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 z y))))
(*.f64 y (+.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x z) y)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) x)) y)))))
(*.f64 y (+.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 z y))))
(*.f64 y (+.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x z) y)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal 1/2 binary64) x)) y)))))
(*.f64 y (+.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 z y))))
(*.f64 y (+.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x z) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+.f64 z (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x z)) (/.f64 (*.f64 x y) z))))
(.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x z) (.f64 x (/.f64 y z)))))
(.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y z) (.f64 x (/.f64 #s(literal 1/2 binary64) z)))))
(.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x z)) (/.f64 (*.f64 x y) z))))
(.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x z) (.f64 x (/.f64 y z)))))
(.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y z) (.f64 x (/.f64 #s(literal 1/2 binary64) z)))))
(.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x z)) (/.f64 (*.f64 x y) z))))
(.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x z) (.f64 x (/.f64 y z)))))
(.f64 z (+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 y z) (.f64 x (/.f64 #s(literal 1/2 binary64) z)))))
z
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 x y)) z)) #s(literal 1 binary64))))
(neg.f64 (.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z) #s(literal -1 binary64))))
(.f64 z (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x (-.f64 #s(literal -1/2 binary64) y)) z))))
(*.f64 z (neg.f64 (fma.f64 (neg.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 x y)) z)) #s(literal 1 binary64))))
(neg.f64 (.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z) #s(literal -1 binary64))))
(.f64 z (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x (-.f64 #s(literal -1/2 binary64) y)) z))))
(*.f64 z (neg.f64 (fma.f64 (neg.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 x y)) z)) #s(literal 1 binary64))))
(neg.f64 (.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z) #s(literal -1 binary64))))
(.f64 z (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 x (-.f64 #s(literal -1/2 binary64) y)) z))))
(*.f64 z (neg.f64 (fma.f64 (neg.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) #s(literal -1 binary64))))
z
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 z x)))))
(.f64 (neg.f64 x) (.f64 #s(literal -1 binary64) (+.f64 y (/.f64 z x))))
(*.f64 (-.f64 (/.f64 z (neg.f64 x)) y) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 z x)))))
(.f64 (neg.f64 x) (.f64 #s(literal -1 binary64) (+.f64 y (/.f64 z x))))
(*.f64 (-.f64 (/.f64 z (neg.f64 x)) y) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 z x)))))
(.f64 (neg.f64 x) (.f64 #s(literal -1 binary64) (+.f64 y (/.f64 z x))))
(*.f64 (-.f64 (/.f64 z (neg.f64 x)) y) (neg.f64 x))
z
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 y (+.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 z y)))))
(*.f64 y (+.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 z y)))))
(*.f64 y (+.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 z y)))))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 x y)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
z
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
z
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)) #s(literal 1 binary64))))
(neg.f64 (.f64 z (fma.f64 #s(literal -1 binary64) (.f64 x (/.f64 y z)) #s(literal -1 binary64))))
(.f64 z (neg.f64 (fma.f64 #s(literal -1 binary64) (.f64 x (/.f64 y z)) #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal -1 binary64) (.f64 x (/.f64 y z))) (neg.f64 z))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)) #s(literal 1 binary64))))
(neg.f64 (.f64 z (fma.f64 #s(literal -1 binary64) (.f64 x (/.f64 y z)) #s(literal -1 binary64))))
(.f64 z (neg.f64 (fma.f64 #s(literal -1 binary64) (.f64 x (/.f64 y z)) #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal -1 binary64) (.f64 x (/.f64 y z))) (neg.f64 z))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)) #s(literal 1 binary64))))
(neg.f64 (.f64 z (fma.f64 #s(literal -1 binary64) (.f64 x (/.f64 y z)) #s(literal -1 binary64))))
(.f64 z (neg.f64 (fma.f64 #s(literal -1 binary64) (.f64 x (/.f64 y z)) #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal -1 binary64) (.f64 x (/.f64 y z))) (neg.f64 z))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
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(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) (fma.f64 (fma.f64 x y z) (+.f64 z (fma.f64 x y (.f64 x #s(literal -1/2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 x y z))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 x y z))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))) (+.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 x y z)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))) (+.f64 z (fma.f64 x y (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (+.f64 y #s(literal 1/2 binary64)))) (-.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (-.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) y) z)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 z z (.f64 x (*.f64 (-.f64 #s(literal -1/2 binary64) y) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 z z (.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) (fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (fma.f64 x y z) (.f64 x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 x y z))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))) (+.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 x y z)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))) (+.f64 z (fma.f64 x y (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 x (+.f64 y #s(literal 1/2 binary64)))) (pow.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z))
(/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) (fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)))
(pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 3 binary64))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 2 binary64))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 2 binary64)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(log.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 3 binary64)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(exp.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)) #s(literal 1 binary64)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)

eval50.0ms (0.5%)

Compiler: Compiled 6297 to 1188 computations (81.1% saved)

prune60.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	398	7	405
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	400	8	408

Accuracy

100.0%

Counts

408 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.0%	(-.f64 z (*.f64 y (neg.f64 x)))
✓	100.0%	(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
▶	68.8%	(-.f64 z (*.f64 x #s(literal -1/2 binary64)))
	57.8%	(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y))
▶	86.7%	(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))
▶	57.8%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
▶	32.2%	(*.f64 x y)
▶	43.7%	z

Compiler

Compiled 124 to 87 computations (29.8% saved)

simplify125.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(-.f64 z (*.f64 x #s(literal -1/2 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal -1/2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
	cost-diff	0	(*.f64 x y)
✓	cost-diff	-6144	(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x))

Rules

786×	`fma-define`
765×	`times-frac`
481×	`fmm-def`
308×	`div-sub`
305×	`distribute-lft-neg-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	202
1	43	202
2	83	198
3	152	191
4	242	185
5	436	185
6	793	185
7	1603	185
8	4570	185
9	6119	185
10	7202	185
11	7797	185

Stop Event

1×	node limit

Calls

Call 1

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

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

localize134.0ms (1.4%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 z (*.f64 x #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x))
✓	accuracy	86.7%	(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))

Results

118.0ms

256×

valid

Compiler

Compiled 56 to 15 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-add: 86.0ms (87.2% of total)

ival-mult: 8.0ms (8.1% of total)

ival-div: 2.0ms (2% of total)

ival-sub: 1.0ms (1% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series107.0ms (1.1%)

Counts

7 → 129

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(+ (+ 1/2 y) (/ z x))
0.0ms	x	@	-inf	(* x (+ (+ 1/2 y) (/ z x)))
0.0ms	z	@	inf	(+ (+ 1/2 y) (/ z x))
0.0ms	z	@	-inf	(/ z x)
0.0ms	y	@	inf	(* x (+ (+ 1/2 y) (/ z x)))

rewrite216.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

969×	`log1p-expm1-u`
969×	`expm1-log1p-u`
761×	`fma-define`
296×	`fmm-def`
123×	`add-cube-cbrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	136
1	263	136
2	4224	132

Stop Event

1×	node limit

Counts

7 → 441

Calls

Call 1

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

Outputs
(-.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z (neg.f64 x)))
(-.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (neg.f64 z) x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x))) (/.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))))
(*.f64 (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)) (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64))) (-.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))
(/.f64 (fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) x (.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) z)) (.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) x))
(/.f64 (fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 x z) (.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (/.f64 x z)))
(/.f64 (fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 x) (.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (neg.f64 z))) (.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (neg.f64 x)))
(/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) x (.f64 (-.f64 #s(literal 1/2 binary64) y) z)) (.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x z) (.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) y) (/.f64 x z)))
(/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (neg.f64 x) (.f64 (-.f64 #s(literal 1/2 binary64) y) (neg.f64 z))) (.f64 (-.f64 #s(literal 1/2 binary64) y) (neg.f64 x)))
(/.f64 (fma.f64 z (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (.f64 x (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 z (-.f64 #s(literal 1/2 binary64) y) (.f64 x (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (+.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 x z) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (.f64 (/.f64 x z) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) y) (.f64 (/.f64 x z) (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))) (.f64 (/.f64 x z) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (fma.f64 (neg.f64 z) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (.f64 (neg.f64 x) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (.f64 (neg.f64 x) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1/2 binary64) y) (.f64 (neg.f64 x) (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))) (.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 z x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 y (/.f64 z x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (+.f64 y (/.f64 z x)) (+.f64 y (/.f64 z x))) (.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 y (/.f64 z x)) (+.f64 y (/.f64 z x)))) (-.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))
(/.f64 (-.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (-.f64 (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y)))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))))
(exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (/.f64 z x))
(fma.f64 z (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 z x) #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1 binary64) y (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x))
(fma.f64 #s(literal 1 binary64) (/.f64 z x) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1 binary64) (+.f64 y (/.f64 z x)) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (/.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (/.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) x) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))
(fma.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) y)) (/.f64 z x))
(fma.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) x) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))
(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 z x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) z (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 z x))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 y (/.f64 z x))) (cbrt.f64 (+.f64 y (/.f64 z x)))) (cbrt.f64 (+.f64 y (/.f64 z x))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (+.f64 y (/.f64 z x))) (sqrt.f64 (+.f64 y (/.f64 z x))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x) (+.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)) (+.f64 #s(literal 1/2 binary64) y))
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(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) x z)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) x z)))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) x z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) x z)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x z)
(fma.f64 z #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 z #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) z)
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) z)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 1 binary64) (fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 1 binary64) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) z (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x z) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x z) (fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x z) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x z) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x z) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) z)
(fma.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) z)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) z)
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) z)
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) z)) (fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) z)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) z)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) z)
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)) z)
(fma.f64 (.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (.f64 #s(literal 1/2 binary64) x))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) z)
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) z)
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) z)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) z)

simplify613.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

702×	`fmm-def`
345×	`associate-r`
326×	`associate-l`
263×	`fma-define`
247×	`fma-undefine`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	855	18899
1	2024	16540
2	6164	16526

Stop Event

1×	node limit

Counts

570 → 572

Calls

Call 1

Inputs
(+.f64 #s(literal 1/2 binary64) (/.f64 z x))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
y
(.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 z (*.f64 x y)))))
(.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 z (*.f64 x y)))))
(.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 z (*.f64 x y)))))
y
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)) #s(literal 1 binary64))))
(+.f64 #s(literal 1/2 binary64) y)
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(/.f64 z x)
(.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))))
(.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))))
(.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))))
(/.f64 z x)
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 z x)
(/.f64 (+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) x)
(/.f64 (+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) x)
(/.f64 (+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y))) x)
(+.f64 #s(literal 1/2 binary64) y)
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(+.f64 #s(literal 1/2 binary64) y)
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
(+.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 z x)))
#s(literal 1/2 binary64)
y
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
y
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
z
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
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(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
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(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) x z))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) x z)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) x z)))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) x z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) x z)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x z)
(fma.f64 z #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 z #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) z)
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) z)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 1 binary64) (fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x z) #s(literal 1 binary64) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) z (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x z) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x z) (fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x z) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x z) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x z) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) z)
(fma.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) z)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) x z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) z)
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) z)
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) z)) (fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) z)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) z)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) z)
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)) z)
(fma.f64 (.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (.f64 #s(literal 1/2 binary64) x))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) x)) z)
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) x)) z)
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 x #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (.f64 x #s(literal -1/2 binary64))) z)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) z)

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

eval86.0ms (0.9%)

Compiler: Compiled 9083 to 1459 computations (83.9% saved)

prune386.0ms (3.9%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	627	2	629
Fresh	1	1	2
Picked	0	5	5
Done	0	1	1
Total	628	9	637

Accuracy

100.0%

Counts

637 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.0%	(-.f64 z (*.f64 y (neg.f64 x)))
✓	100.0%	(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
✓	68.8%	(-.f64 z (*.f64 x #s(literal -1/2 binary64)))
▶	57.8%	(+.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) x))
✓	86.7%	(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))
✓	57.8%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
✓	32.2%	(*.f64 x y)
▶	27.4%	(*.f64 x #s(literal 1/2 binary64))
✓	43.7%	z

Compiler

Compiled 73 to 52 computations (28.8% saved)

simplify32.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6208	(-.f64 z (*.f64 y (neg.f64 x)))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 y (neg.f64 x))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	128	(+.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))

Rules

143×	`fma-define`
122×	`fmm-def`
31×	`distribute-lft-neg-in`
27×	`cancel-sign-sub-inv`
24×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	129
1	35	125
2	62	121
3	150	121
4	311	121
5	542	121
6	675	121
7	713	121
8	733	121
9	735	121

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(+.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) x))
(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 y x)
(*.f64 x y)
y
x
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(-.f64 z (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 x y) z)
(fma.f64 x y z)
z
(*.f64 y (neg.f64 x))
y
(neg.f64 x)
x

localize43.0ms (0.4%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(-.f64 z (*.f64 y (neg.f64 x)))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(+.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) x))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))

Results

31.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 6.0ms (50.7% of total)

ival-add: 2.0ms (16.9% of total)

ival-sub: 1.0ms (8.4% of total)

ival-neg: 1.0ms (8.4% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

7 → 132

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(* y (neg x))
0.0ms	x	@	0	(* y (neg x))
0.0ms	x	@	inf	(+ (* y x) (* 1/2 x))
0.0ms	z	@	0	(- z (* y (neg x)))
0.0ms	x	@	-inf	(+ (* y x) (* 1/2 x))

rewrite247.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

896×	`log1p-expm1-u`
896×	`expm1-log1p-u`
506×	`fma-define`
466×	`log-prod`
215×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	99
1	239	91
2	3321	87

Stop Event

1×	node limit

Counts

7 → 485

Calls

Call 1

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

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

simplify597.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

570×	`fmm-def`
396×	`distribute-lft-neg-in`
386×	`distribute-rgt-neg-in`
297×	`fma-undefine`
228×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	712	15165
1	1499	13513
2	4491	13252

Stop Event

1×	node limit

Counts

617 → 530

Calls

Call 1

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

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

eval116.0ms (1.2%)

Compiler: Compiled 7211 to 923 computations (87.2% saved)

prune83.0ms (0.8%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	528	2	530
Fresh	0	0	0
Picked	1	2	3
Done	1	5	6
Total	530	9	539

Accuracy

100.0%

Counts

539 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
✓	68.8%	(-.f64 z (*.f64 x #s(literal -1/2 binary64)))
✓	57.8%	(+.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) x))
▶	74.0%	(+.f64 (*.f64 x y) z)
▶	60.7%	(*.f64 x (+.f64 y (/.f64 z x)))
✓	57.8%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
✓	32.2%	(*.f64 x y)
✓	27.4%	(*.f64 x #s(literal 1/2 binary64))
✓	43.7%	z

Compiler

Compiled 70 to 49 computations (30% saved)

simplify476.0ms (4.8%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
	cost-diff	-6272	(+.f64 (*.f64 x y) z)
	cost-diff	0	(*.f64 x y)
✓	cost-diff	-6144	(*.f64 x (+.f64 y (/.f64 z x)))
	cost-diff	0	(/.f64 z x)
✓	cost-diff	0	(+.f64 y (/.f64 z x))

Rules

1734×	`cube-prod`
805×	`swap-sqr`
794×	`cube-div`
517×	`pow-sqr`
389×	`*-commutative`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	134
1	25	134
2	36	134
3	40	120
4	43	108
5	50	108
6	75	108
7	151	108
8	651	108
9	1764	108
10	2540	108
11	3005	108
12	3662	108
13	4569	108
14	4897	108
15	4987	108
16	5057	108
17	5135	108
18	5305	108
19	6396	108
20	6905	108
21	7008	108
22	7086	108
23	7159	108
24	7232	108
25	7307	108
26	7394	108
27	7481	108
28	7568	108
29	7655	108

Stop Event

1×	node limit

Calls

Call 1

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

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

localize45.0ms (0.5%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 x y)
	accuracy	100.0%	(+.f64 (*.f64 x y) z)
	accuracy	100.0%	(/.f64 z x)
✓	accuracy	100.0%	(+.f64 y (/.f64 z x))
✓	accuracy	86.6%	(*.f64 x (+.f64 y (/.f64 z x)))

Results

37.0ms

256×

valid

Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-add: 9.0ms (50.1% of total)

ival-div: 5.0ms (27.9% of total)

ival-mult: 3.0ms (16.7% of total)

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

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

series8.0ms (0.1%)

Counts

2 → 57

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite97.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

983×	`prod-diff`
827×	`log1p-expm1-u`
827×	`expm1-log1p-u`
252×	`fma-define`
132×	`expm1-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	53
1	148	53
2	2235	53

Stop Event

1×	node limit

Counts

2 → 119

Calls

Call 1

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

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

simplify123.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

573×	`associate-/l*`
517×	`fma-define`
344×	`associate-/r*`
314×	`*-commutative`
301×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	320	5515
1	778	4972
2	2190	4706

Stop Event

1×	node limit

Counts

176 → 156

Calls

Call 1

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

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

eval76.0ms (0.8%)

Compiler: Compiled 3339 to 678 computations (79.7% saved)

prune130.0ms (1.3%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	265	0	265
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	265	9	274

Accuracy

100.0%

Counts

274 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
✓	68.8%	(-.f64 z (*.f64 x #s(literal -1/2 binary64)))
✓	57.8%	(+.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) x))
✓	74.0%	(+.f64 (*.f64 x y) z)
✓	60.7%	(*.f64 x (+.f64 y (/.f64 z x)))
✓	57.8%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
✓	32.2%	(*.f64 x y)
✓	27.4%	(*.f64 x #s(literal 1/2 binary64))
✓	43.7%	z

Compiler

Compiled 162 to 83 computations (48.8% saved)

regimes60.0ms (0.6%)

Counts

15 → 1

Calls

Call 1

Inputs
z
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x y)
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 x y) z)
(-.f64 z (*.f64 x #s(literal -1/2 binary64)))
(-.f64 z (*.f64 y (neg.f64 x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y))
(+.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) x))
(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 z x)))
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)

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

Calls

5 calls:

39.0ms	y
5.0ms	z
5.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
5.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
5.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
100.0%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes26.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	y
5.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
5.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
5.0ms	z
5.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
100.0%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes15.0ms (0.2%)

Counts

12 → 1

Calls

Call 1

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

Outputs
(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))

Calls

3 calls:

6.0ms	x
4.0ms	y
4.0ms	z

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	z
4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
85.7%	3	`x`
98.6%	3	`y`
90.9%	4	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
88.8%	3	`z`
77.6%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
73.4%	3	`x`
80.0%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0.1%)

Counts

3 → 5

Calls

Call 1

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

Outputs
(*.f64 x y)
z
(*.f64 x #s(literal 1/2 binary64))
z
(*.f64 x y)

Calls

3 calls:

2.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
54.8%	3	`x`
65.3%	5	`y`
64.1%	5	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 x #s(literal 1/2 binary64))

Outputs
z
(*.f64 x #s(literal 1/2 binary64))
z

Calls

2 calls:

2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
58.6%	3	`z`
47.4%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (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:

4.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
43.7%	1	`y`
43.7%	1	`x`
43.7%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch72.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
58.0ms	5.7164766302332e-9	3.2679994786490982
11.0ms	-7182636882.181948	-6220101.024767593

Results

60.0ms

272×

valid

Compiler

Compiled 321 to 235 computations (26.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (29.1% of total)

ival-add: 2.0ms (29.1% of total)

ival-mult: 2.0ms (29.1% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

bsearch68.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.408285783883885e-26	6.921196572677473e-17
53.0ms	-8.025258289285525e+47	-3.782723787202607e+39

Results

56.0ms

288×

valid

Compiler

Compiled 339 to 248 computations (26.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 3.0ms (40.8% of total)

ival-div: 2.0ms (27.2% of total)

ival-mult: 2.0ms (27.2% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

bsearch57.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.408285783883885e-26	6.921196572677473e-17
42.0ms	-4.152040627809185e+93	-2.1072903219477342e+87

Results

46.0ms

288×

valid

Compiler

Compiled 267 to 212 computations (20.6% saved)

Precisions

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

ival-add: 3.0ms (37.3% of total)

ival-div: 2.0ms (24.9% of total)

ival-mult: 2.0ms (24.9% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

bsearch131.0ms (1.3%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	3.1127534167355383e+53	3.479245600996161e+58
93.0ms	1.0895957083875369e-107	1.1354820545296592e-105
7.0ms	-1.916674282118527e-257	-5.465859626350409e-258
15.0ms	-1.1578877293064142e+40	-1.2701512806963636e+29

Results

27.0ms

496×

valid

Compiler

Compiled 387 to 305 computations (21.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 4.0ms (32% of total)

ival-add: 4.0ms (32% of total)

ival-mult: 4.0ms (32% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

bsearch78.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.408285783883885e-26	6.921196572677473e-17
63.0ms	-3.782723787202607e+39	-4.0893783569116246e+36

Results

15.0ms

272×

valid

Compiler

Compiled 219 to 184 computations (16% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 3.0ms (41.2% of total)

ival-div: 2.0ms (27.5% of total)

ival-mult: 2.0ms (27.5% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

simplify45.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

119×	`unsub-neg`
73×	`distribute-lft-neg-in`
72×	`neg-mul-1`
37×	`cancel-sign-sub`
36×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	422
1	103	422
2	126	422
3	141	422
4	162	422
5	189	422
6	213	422
7	273	422
8	394	422
9	487	422
10	514	422
11	560	422
12	605	422
13	643	422
14	681	422
15	689	422
16	698	422

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
(if (<=.f64 y #s(literal -6300000 binary64)) (+.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 1/2 binary64)) (-.f64 z (.f64 x #s(literal -1/2 binary64))) (+.f64 (*.f64 x y) z)))
(if (<=.f64 z #s(literal -3799999999999999801117977702457807994880 binary64)) (+.f64 (.f64 x y) z) (if (<=.f64 z #s(literal 6097860015223217/174224571863520493293247799005065324265472 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (+.f64 (*.f64 x y) z)))
(if (<=.f64 z #s(literal -499999999999999983242056357731950024912593046310062751489837298654589877718689615343255552 binary64)) z (if (<=.f64 z #s(literal 2271629875608987/162259276829213363391578010288128 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z))
(if (<=.f64 y #s(literal -1800000000000000092087320051712 binary64)) (.f64 x y) (if (<=.f64 y #s(literal -3922058599151179/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032 binary64)) z (if (<=.f64 y #s(literal 3470543836148805/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 y #s(literal 650000000000000016861264570893712151161023451749154816 binary64)) z (*.f64 x y)))))
(if (<=.f64 z #s(literal -22000000000000000638106117049042337792 binary64)) z (if (<=.f64 z #s(literal 2076918743413931/649037107316853453566312041152512 binary64)) (*.f64 x #s(literal 1/2 binary64)) z))
z

Outputs
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 z (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x y)))
(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
(+.f64 z (*.f64 x (-.f64 y #s(literal -1/2 binary64))))
(if (<=.f64 y #s(literal -6300000 binary64)) (+.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 1/2 binary64)) (-.f64 z (.f64 x #s(literal -1/2 binary64))) (+.f64 (*.f64 x y) z)))
(if (or (<=.f64 y #s(literal -6300000 binary64)) (not (<=.f64 y #s(literal 1/2 binary64)))) (+.f64 z (.f64 x y)) (-.f64 z (.f64 x #s(literal -1/2 binary64))))
(if (<=.f64 z #s(literal -3799999999999999801117977702457807994880 binary64)) (+.f64 (.f64 x y) z) (if (<=.f64 z #s(literal 6097860015223217/174224571863520493293247799005065324265472 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (+.f64 (*.f64 x y) z)))
(if (or (<=.f64 z #s(literal -3799999999999999801117977702457807994880 binary64)) (not (<=.f64 z #s(literal 6097860015223217/174224571863520493293247799005065324265472 binary64)))) (+.f64 z (.f64 x y)) (.f64 x (+.f64 y #s(literal 1/2 binary64))))
(if (<=.f64 z #s(literal -499999999999999983242056357731950024912593046310062751489837298654589877718689615343255552 binary64)) z (if (<=.f64 z #s(literal 2271629875608987/162259276829213363391578010288128 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z))
(if (<=.f64 z #s(literal -499999999999999983242056357731950024912593046310062751489837298654589877718689615343255552 binary64)) z (if (<=.f64 z #s(literal 2271629875608987/162259276829213363391578010288128 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z))
(if (<=.f64 y #s(literal -1800000000000000092087320051712 binary64)) (.f64 x y) (if (<=.f64 y #s(literal -3922058599151179/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032 binary64)) z (if (<=.f64 y #s(literal 3470543836148805/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) (.f64 x #s(literal 1/2 binary64)) (if (<=.f64 y #s(literal 650000000000000016861264570893712151161023451749154816 binary64)) z (*.f64 x y)))))
(if (<=.f64 z #s(literal -22000000000000000638106117049042337792 binary64)) z (if (<=.f64 z #s(literal 2076918743413931/649037107316853453566312041152512 binary64)) (*.f64 x #s(literal 1/2 binary64)) z))
z

soundness1.0s (10.2%)

Rules

1010×	`fmm-def`
896×	`log1p-expm1-u`
896×	`expm1-log1p-u`
847×	`fmm-def`
531×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	435
1	99	371
2	275	371
3	801	323
4	1688	297
5	2817	292
6	3293	292
7	3479	292
8	3529	292
9	3537	292
10	3537	276
11	4075	276
12	4075	276
0	18	99
1	239	91
2	3321	87
0	679	18701
1	1706	17704
2	5775	17537

Stop Event

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

Compiler

Compiled 532 to 213 computations (60% saved)

preprocess52.0ms (0.5%)

Compiler: Compiled 262 to 130 computations (50.4% saved)

Iter	Nodes	Cost
0	18	129
1	35	125
2	62	121
3	150	121
4	311	121
5	542	121
6	675	121
7	713	121
8	733	121
9	735	121

Iter	Nodes	Cost
0	67	422
1	103	422
2	126	422
3	141	422
4	162	422
5	189	422
6	213	422
7	273	422
8	394	422
9	487	422
10	514	422
11	560	422
12	605	422
13	643	422
14	681	422
15	689	422
16	698	422

Iter	Nodes	Cost
0	18	129
1	35	125
2	62	121
3	150	121
4	311	121
5	542	121
6	675	121
7	713	121
8	733	121
9	735	121

Iter	Nodes	Cost
0	67	422
1	103	422
2	126	422
3	141	422
4	162	422
5	189	422
6	213	422
7	273	422
8	394	422
9	487	422
10	514	422
11	560	422
12	605	422
13	643	422
14	681	422
15	689	422
16	698	422

analyze0.0ms (0%)

sample3.4s (34.1%)

preprocess219.0ms (2.2%)

explain98.0ms (1%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify42.0ms (0.4%)

localize51.0ms (0.5%)

series21.0ms (0.2%)

rewrite298.0ms (3%)

simplify257.0ms (2.6%)

eval50.0ms (0.5%)

prune60.0ms (0.6%)

simplify125.0ms (1.3%)

localize134.0ms (1.4%)

series107.0ms (1.1%)

rewrite216.0ms (2.2%)

simplify613.0ms (6.2%)

eval86.0ms (0.9%)

prune386.0ms (3.9%)

simplify32.0ms (0.3%)

localize43.0ms (0.4%)

series6.0ms (0.1%)

rewrite247.0ms (2.5%)

simplify597.0ms (6.1%)

eval116.0ms (1.2%)

prune83.0ms (0.8%)

simplify476.0ms (4.8%)

localize45.0ms (0.5%)

series8.0ms (0.1%)

rewrite97.0ms (1%)

simplify123.0ms (1.2%)

eval76.0ms (0.8%)

prune130.0ms (1.3%)

regimes60.0ms (0.6%)

regimes26.0ms (0.3%)

regimes15.0ms (0.2%)

regimes12.0ms (0.1%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes7.0ms (0.1%)

bsearch72.0ms (0.7%)

bsearch68.0ms (0.7%)

bsearch57.0ms (0.6%)

bsearch131.0ms (1.3%)

bsearch78.0ms (0.8%)

simplify45.0ms (0.5%)

soundness1.0s (10.2%)

preprocess52.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	129
1	35	125
2	62	121
3	150	121
4	311	121
5	542	121
6	675	121
7	713	121
8	733	121
9	735	121

Iter	Nodes	Cost
0	67	422
1	103	422
2	126	422
3	141	422
4	162	422
5	189	422
6	213	422
7	273	422
8	394	422
9	487	422
10	514	422
11	560	422
12	605	422
13	643	422
14	681	422
15	689	422
16	698	422