Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, I

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

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 7 to 7 computations (0% saved)

sample622.0ms (28.9%)

Memory

22.5MiB live, 613.2MiB allocated

Samples

396.0ms	8 254×	0	valid
0.0ms	2×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-add: 85.0ms (91% of total)

ival-true: 6.0ms (6.4% of total)

ival-assert: 3.0ms (3.2% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess133.0ms (6.2%)

Memory

-21.9MiB live, 60.2MiB allocated

Algorithm

1×	egg-herbie

Rules

322×	`fmm-def`
167×	`fma-define`
69×	`associate--r+`
60×	`associate-+l-`
56×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	262
1	70	242
2	205	242
3	585	242
4	1077	242
5	1294	242
6	1357	242
7	1363	242

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(sort x y z)

explain129.0ms (6%)

Memory

-7.3MiB live, 70.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (+.f64 x y) z)`
-	-	`y`
-	-	`(+.f64 x y)`
-	-	`z`
-	-	`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

Samples

41.0ms

512×

valid

Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions

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

ival-add: 27.0ms (96.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 x y) z)

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify6.0ms (0.3%)

Memory

9.7MiB live, 9.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

5×	`+-commutative`
3×	`associate-+r+`
3×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	15	47
2	22	47
3	24	47

Stop Event

1×

saturated

Calls

Call 1

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

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

localize14.0ms (0.6%)

Memory

26.2MiB live, 26.2MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 2.0ms (74.4% of total)

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

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

series18.0ms (0.8%)

Memory

-42.2MiB live, 6.5MiB allocated

Counts

2 → 54

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
12.0ms	y	@	0	(+ (+ x y) z)
2.0ms	y	@	-inf	(+ (+ x y) z)
0.0ms	x	@	inf	(+ (+ x y) z)
0.0ms	y	@	inf	(+ (+ x y) z)
0.0ms	z	@	inf	(+ (+ x y) z)

rewrite243.0ms (11.3%)

Memory

22.3MiB live, 334.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

738×	`log1p-expm1-u`
738×	`expm1-log1p-u`
547×	`unpow-prod-down`
393×	`fma-define`
295×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	128	35
2	1910	35

Stop Event

1×	node limit

Counts

2 → 164

Calls

Call 1

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

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

simplify109.0ms (5.1%)

Memory

2.0MiB live, 196.3MiB allocated

Algorithm

1×	egg-herbie

Rules

622×	`distribute-lft-in`
620×	`distribute-rgt-in`
611×	`fma-define`
318×	`unswap-sqr`
239×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	422	6812
1	934	6724
2	2584	6619

Stop Event

1×	node limit

Counts

218 → 245

Calls

Call 1

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

Outputs
(+.f64 y z)
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y x) z)
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y x) z)
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y x) z)
(+.f64 y (+.f64 z x))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) (/.f64 z x))))
(fma.f64 x (+.f64 (/.f64 y x) (/.f64 z x)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) (/.f64 z x))))
(fma.f64 x (+.f64 (/.f64 y x) (/.f64 z x)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) (/.f64 z x))))
(fma.f64 x (+.f64 (/.f64 y x) (/.f64 z x)) x)
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y z) x)) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 y z) x) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 y z) x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y z) x)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y z) x)) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 y z) x) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 y z) x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y z) x)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y z) x)) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 y z) x) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 y z) x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y z) x)) (neg.f64 x))
(+.f64 x z)
(+.f64 z x)
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y x) z)
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y x) z)
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y x) z)
(+.f64 y (+.f64 z x))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) (/.f64 z y))))
(fma.f64 y (+.f64 (/.f64 x y) (/.f64 z y)) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) (/.f64 z y))))
(fma.f64 y (+.f64 (/.f64 x y) (/.f64 z y)) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) (/.f64 z y))))
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(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) (cbrt.f64 (cbrt.f64 (+.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(+.f64 y x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(+.f64 y x)
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (.f64 (+.f64 x y) (sqrt.f64 (+.f64 x y))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (+.f64 x y) (sqrt.f64 (+.f64 x y))) #s(literal 1/3 binary64)))
(+.f64 y x)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)))))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 y x))) (cbrt.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 y x))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 7 binary64)) (cbrt.f64 (+.f64 y x)))))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (sqrt.f64 (+.f64 x y))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (cbrt.f64 (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (sqrt.f64 (+.f64 y x)))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (cbrt.f64 (.f64 (+.f64 y x) (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) #s(literal 5 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(+.f64 y x)
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(+.f64 y x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(+.f64 y x)
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(+.f64 y x)
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 y x)
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(+.f64 y x)
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(+.f64 y x)
(log.f64 (exp.f64 (+.f64 x y)))
(+.f64 y x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(+.f64 y x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(+.f64 y x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y)))
(+.f64 y x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(+.f64 y x)
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 y x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 x)))
(+.f64 y x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 y x)
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(+.f64 y x)
(expm1.f64 (log1p.f64 (+.f64 x y)))
(expm1.f64 (log1p.f64 (+.f64 y x)))
(+.f64 #s(literal 0 binary64) (+.f64 y x))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(+.f64 y x)
(exp.f64 (log.f64 (+.f64 x y)))
(+.f64 y x)
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(+.f64 y x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(+.f64 y x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(+.f64 y x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(+.f64 y x)
(fma.f64 x #s(literal 1 binary64) y)
(+.f64 y x)
(fma.f64 y #s(literal 1 binary64) x)
(+.f64 y x)
(fma.f64 #s(literal 1 binary64) x y)
(+.f64 y x)
(fma.f64 #s(literal 1 binary64) y x)
(+.f64 y x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(+.f64 y x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(+.f64 y x)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(+.f64 y x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(+.f64 y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(+.f64 y x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(+.f64 y x)

eval43.0ms (2%)

Memory: -5.2MiB live, 72.5MiB allocated
Compiler: Compiled 3 154 to 683 computations (78.3% saved)

prune51.0ms (2.4%)

Memory

-6.5MiB live, 121.5MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	240	5	245
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	240	6	246

Accuracy

100.0%

Counts

246 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 x y) z)
▶	98.9%	(+.f64 z x)
▶	45.8%	(+.f64 y z)
▶	56.5%	(+.f64 y x)
▶	44.3%	z
▶	55.1%	x

Compiler

Compiled 60 to 41 computations (31.7% saved)

simplify6.0ms (0.3%)

Memory

12.6MiB live, 12.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

3×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	71
1	15	71

Stop Event

1×

saturated

Calls

Call 1

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

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

localize20.0ms (0.9%)

Memory

5.0MiB live, 43.7MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

13.0ms

256×

valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-add: 3.0ms (79.7% of total)

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

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

series3.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

3 → 66

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite179.0ms (8.3%)

Memory

-26.8MiB live, 52.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

892×	`log1p-expm1-u`
892×	`expm1-log1p-u`
441×	`fma-define`
363×	`log-prod`
222×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	153	39
2	2342	39

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

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

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

simplify115.0ms (5.3%)

Memory

40.8MiB live, 115.4MiB allocated

Algorithm

1×	egg-herbie

Rules

910×	`fmm-def`
522×	`times-frac`
468×	`div-sub`
381×	`distribute-lft-in`
369×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	337	4566
1	749	4476
2	1933	4410
3	6618	4410

Stop Event

1×	node limit

Counts

204 → 190

Calls

Call 1

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

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

eval56.0ms (2.6%)

Memory: -23.6MiB live, 56.4MiB allocated
Compiler: Compiled 1 630 to 399 computations (75.5% saved)

prune28.0ms (1.3%)

Memory

-6.8MiB live, 70.7MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	190	6	196

Accuracy

100.0%

Counts

196 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 x y) z)
✓	98.9%	(+.f64 z x)
✓	45.8%	(+.f64 y z)
✓	56.5%	(+.f64 y x)
✓	44.3%	z
✓	55.1%	x

Compiler

Compiled 53 to 31 computations (41.5% saved)

regimes14.0ms (0.7%)

Memory

29.7MiB live, 29.7MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(+.f64 x y)
3.0ms	y
3.0ms	(+.f64 (+.f64 x y) z)
3.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (+.f64 x y) z)`
100.0%	1	`(+.f64 x y)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes11.0ms (0.5%)

Memory

-15.7MiB live, 27.1MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
(+.f64 z x)

Calls

3 calls:

5.0ms	z
3.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`y`
98.9%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.4%)

Memory

-21.8MiB live, 16.9MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
83.4%	2	`z`
83.2%	2	`x`
78.2%	2	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
x
z
(+.f64 y x)

Outputs
(+.f64 y x)
z

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
83.3%	2	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0.2%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
x
z

Outputs
x
z

Calls

2 calls:

2.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
82.1%	2	`x`
82.7%	2	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0.2%)

Memory

12.9MiB live, 12.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
55.1%	1	`y`
55.1%	1	`x`
55.1%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch8.0ms (0.4%)

Memory

-17.6MiB live, 21.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.7643378675450157e+104	4.588983199069805e+105

Samples

4.0ms

112×

valid

Compiler

Compiled 109 to 81 computations (25.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-add: 1.0ms (87.5% of total)

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

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

bsearch7.0ms (0.3%)

Memory

14.5MiB live, 14.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.7643378675450157e+104	4.588983199069805e+105

Samples

4.0ms

112×

valid

Compiler

Compiled 95 to 74 computations (22.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-add: 1.0ms (88.1% of total)

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

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

bsearch7.0ms (0.3%)

Memory

13.8MiB live, 13.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.7643378675450157e+104	4.588983199069805e+105

Samples

4.0ms

112×

valid

Compiler

Compiled 81 to 67 computations (17.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-add: 1.0ms (84.6% of total)

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

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

simplify4.0ms (0.2%)

Memory

-33.1MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	126
1	31	126

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 x y) z)
(+.f64 z x)
(if (<=.f64 z #s(literal 255000000000000008445668929418926802221184527801757404451263308980405206719440763060667169203119991029760 binary64)) (+.f64 y x) (+.f64 y z))
(if (<=.f64 z #s(literal 244999999999999992512168613448407565886793035830838601125138448319284455382553614919950903350970170736640 binary64)) (+.f64 y x) z)
(if (<=.f64 z #s(literal 189999999999999984449634701176414510908799533482119598904435842258755113503910603051530963169486244413440 binary64)) x z)
x

Outputs
(+.f64 (+.f64 x y) z)
(+.f64 z x)
(+.f64 x z)
(if (<=.f64 z #s(literal 255000000000000008445668929418926802221184527801757404451263308980405206719440763060667169203119991029760 binary64)) (+.f64 y x) (+.f64 y z))
(if (<=.f64 z #s(literal 255000000000000008445668929418926802221184527801757404451263308980405206719440763060667169203119991029760 binary64)) (+.f64 x y) (+.f64 y z))
(if (<=.f64 z #s(literal 244999999999999992512168613448407565886793035830838601125138448319284455382553614919950903350970170736640 binary64)) (+.f64 y x) z)
(if (<=.f64 z #s(literal 244999999999999992512168613448407565886793035830838601125138448319284455382553614919950903350970170736640 binary64)) (+.f64 x y) z)
(if (<=.f64 z #s(literal 189999999999999984449634701176414510908799533482119598904435842258755113503910603051530963169486244413440 binary64)) x z)
x

soundness260.0ms (12%)

Memory

-1.1MiB live, 163.0MiB allocated

Rules

622×	`distribute-lft-in`
620×	`distribute-rgt-in`
611×	`fma-define`
318×	`unswap-sqr`
239×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	422	6812
1	934	6724
2	2584	6619

Stop Event

1×	done
1×	node limit

Compiler

Compiled 54 to 26 computations (51.9% saved)

preprocess51.0ms (2.4%)

Memory: 1.6MiB live, 157.8MiB allocated
Compiler: Compiled 152 to 82 computations (46.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample622.0ms (28.9%)

preprocess133.0ms (6.2%)

explain129.0ms (6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.3%)

localize14.0ms (0.6%)

series18.0ms (0.8%)

rewrite243.0ms (11.3%)

simplify109.0ms (5.1%)

eval43.0ms (2%)

prune51.0ms (2.4%)

simplify6.0ms (0.3%)

localize20.0ms (0.9%)

series3.0ms (0.1%)

rewrite179.0ms (8.3%)

simplify115.0ms (5.3%)

eval56.0ms (2.6%)

prune28.0ms (1.3%)

regimes14.0ms (0.7%)

regimes11.0ms (0.5%)

regimes8.0ms (0.4%)

regimes2.0ms (0.1%)

regimes3.0ms (0.2%)

regimes4.0ms (0.2%)

bsearch8.0ms (0.4%)

bsearch7.0ms (0.3%)

bsearch7.0ms (0.3%)

simplify4.0ms (0.2%)

soundness260.0ms (12%)

preprocess51.0ms (2.4%)

end0.0ms (0%)

Profiling