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

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

sample509.0ms (17.6%)

Memory

27.6MiB live, 1 102.5MiB allocated

Samples

290.0ms	8 250×	0	valid
0.0ms	3×	1	valid
0.0ms	2×	2	valid
0.0ms	1×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-add: 86.0ms (89.4% of total)

ival-true: 6.0ms (6.2% of total)

ival-assert: 3.0ms (3.1% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain53.0ms (1.8%)

Memory

-10.6MiB live, 72.2MiB 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

22.0ms

512×

valid

Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 5.0ms (87.2% of total)

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

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

preprocess41.0ms (1.4%)

Memory

-6.8MiB live, 28.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	50
1	62	45
2	199	45
3	561	45
4	933	45
5	1005	45
6	1017	45
0	5	5
0	7	5
1	11	5
2	18	5
3	20	5
0	20	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(sort x y z)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify4.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB 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)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	11	11
2	18	11
3	20	11
0	20	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize13.0ms (0.4%)

Memory

16.8MiB live, 16.8MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 (+.f64 x y) z)
accuracy	0	(+.f64 x y)

Samples

9.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

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

ival-add: 2.0ms (72% of total)

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

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

series2.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated

Counts

2 → 17

Calls

Call 1

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

Outputs
(+ y z)
(+ x (+ y z))
y
(+ x y)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ x z)
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))

Calls

9 calls:

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

simplify138.0ms (4.8%)

Memory

-7.1MiB live, 62.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	59
1	151	59
2	438	59
3	1609	59
4	4853	59
5	6794	59
6	7370	59
7	7542	59
8	7600	59
9	7600	59
0	8058	59

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 14

Calls

Call 1

Inputs
(+ y z)
(+ x (+ y z))
y
(+ x y)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ x z)
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))

Outputs
(+ y z)
(+.f64 z y)
(+ x (+ y z))
(+.f64 (+.f64 y x) z)
y
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 y x) z)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 y x) z)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(+ x z)
(+.f64 z x)
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 (+.f64 y x) z)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 (+.f64 y x) z)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 y x) z)
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 y x) z)

rewrite196.0ms (6.8%)

Memory

0.8MiB live, 157.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	36	8
2	340	8
3	5832	8
0	8122	8

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

2 → 226

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 z (+.f64 y x)) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 z (+.f64 y x)) z)))
(.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 z (+.f64 y x)) z) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 z (+.f64 y x)) z) (-.f64 (.f64 (-.f64 z (+.f64 y x)) z) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (+.f64 z (+.f64 y x)))
(.f64 (-.f64 (.f64 z z) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 z (+.f64 y x)) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 z y) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 x y) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (+.f64 y x) z) #s(literal -1 binary64)) (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 z (+.f64 y x)))
(.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (.f64 x x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 (+.f64 y x) z)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 (+.f64 y x) z) #s(literal -1 binary64)))
(*.f64 (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (+.f64 z (+.f64 y x)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(.f64 (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (.f64 (+.f64 z (+.f64 y x)) (pow.f64 (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 z (+.f64 y x)) (/.f64 (-.f64 (+.f64 y x) z) (-.f64 (+.f64 y x) z)))
(.f64 (+.f64 z (+.f64 y x)) (.f64 (-.f64 (+.f64 y x) z) (pow.f64 (-.f64 (+.f64 y x) z) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 z (+.f64 y x)) (-.f64 (*.f64 z z) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (-.f64 x y) z) (-.f64 (*.f64 x x) (pow.f64 (+.f64 z y) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 z (+.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (*.f64 x x)) (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 z (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (-.f64 (+.f64 y x) z) #s(literal -1 binary64))) (fma.f64 z z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 y x) z) #s(literal -1 binary64))) (fma.f64 (.f64 z z) (fma.f64 z z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 (+.f64 y x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (.f64 z (+.f64 y x)) #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 y x) z))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (pow.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) z)) (.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))))
(/.f64 (-.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (+.f64 z x) y))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (+.f64 z y) x))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (+.f64 z x) #s(literal 2 binary64))) (-.f64 y (+.f64 z x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) z)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 z (/.f64 z (-.f64 (+.f64 y x) z))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) z)) (.f64 z (/.f64 z (-.f64 (+.f64 y x) z)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (-.f64 (.f64 y y) (.f64 (+.f64 z x) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 z x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (+.f64 z x) #s(literal 2 binary64)) (*.f64 y (+.f64 z x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (+.f64 y x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 z y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 x y) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 y x) z))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 z z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 (+.f64 y x) z)))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64))) (-.f64 (+.f64 y x) z)))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 z (+.f64 y x)) z (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
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(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 z y))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(.f64 (.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))
(.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(.f64 (.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64)))
(.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (.f64 (+.f64 y x) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (-.f64 x y)))
(.f64 (+.f64 y x) (.f64 (-.f64 x y) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (+.f64 y x) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (fma.f64 y y (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1 binary64)) (-.f64 x y))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x y)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (fma.f64 y y (.f64 x x)) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(neg.f64 (neg.f64 (+.f64 y x)))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (.f64 y y) (/.f64 y (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(fma.f64 y (/.f64 (.f64 y y) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 x (/.f64 x (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(-.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 y x))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (/.f64 (.f64 (neg.f64 y) y) (-.f64 x y)))
(+.f64 y x)
(+.f64 x y)

eval42.0ms (1.4%)

Memory: 1.5MiB live, 51.5MiB allocated
Compiler: Compiled 5 686 to 654 computations (88.5% saved)

prune8.0ms (0.3%)

Memory

-25.2MiB live, 12.6MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	228	2	230
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	228	3	231

Accuracy

100.0%

Counts

231 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 x y) z)
▶	53.6%	#s(approx (+ (+ x y) z) (+.f64 z y))
▶	98.8%	#s(approx (+ (+ x y) z) (+.f64 z x))

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify5.0ms (0.2%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
0	11	28
1	17	28
2	20	28
0	20	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ x y) z) (+.f64 z x))
(+.f64 z x)
z
x
#s(approx (+ (+ x y) z) (+.f64 z y))
(+.f64 z y)
z
y

Outputs
#s(approx (+ (+ x y) z) (+.f64 z x))
(+.f64 z x)
z
x
#s(approx (+ (+ x y) z) (+.f64 z y))
(+.f64 z y)
z
y

localize17.0ms (0.6%)

Memory

22.0MiB live, 22.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z y)
accuracy	29.704812913845302	#s(approx (+ (+ x y) z) (+.f64 z y))
accuracy	0	(+.f64 z x)
accuracy	0.7851355794114242	#s(approx (+ (+ x y) z) (+.f64 z x))

Samples

12.0ms

256×

valid

Compiler

Compiled 50 to 18 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 5.0ms (100.2% of total)

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

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

series2.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated

Counts

4 → 21

Calls

Call 1

Inputs
#s(approx (+ (+ x y) z) (+.f64 z x))
(+.f64 z x)
#s(approx (+ (+ x y) z) (+.f64 z y))
(+.f64 z y)

Outputs
(+ y z)
(+ x (+ y z))
z
(+ x z)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (/ z x)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
y
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (/ z y)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+ x y)
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ y z)))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))

Calls

9 calls:

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

simplify195.0ms (6.7%)

Memory

-16.9MiB live, 176.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	71
1	192	71
2	531	71
3	1824	71
4	4739	71
5	6723	71
6	7193	71
7	7424	71
8	7442	71
9	7442	71
0	8430	71

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 18

Calls

Call 1

Inputs
(+ y z)
(+ x (+ y z))
z
(+ x z)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (/ z x)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
y
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (/ z y)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+ x y)
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ y z)))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))

Outputs
(+ y z)
(+.f64 z y)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
z
(+ x z)
(+.f64 z x)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 z x) y)
(* x (+ 1 (/ z x)))
(+.f64 z x)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* x (- (* -1 (/ z x)) 1)))
(+.f64 z x)
y
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 (+.f64 z x) y)
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(+ x y)
(+.f64 y x)
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 z x) y)
(* z (+ 1 (/ x z)))
(+.f64 z x)
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* z (- (* -1 (/ x z)) 1)))
(+.f64 z x)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)

rewrite349.0ms (12.1%)

Memory

-19.6MiB live, 278.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	11	24
1	58	24
2	513	24
0	8248	24

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 172

Calls

Call 1

Inputs
#s(approx (+ (+ x y) z) (+.f64 z x))
(+.f64 z x)
#s(approx (+ (+ x y) z) (+.f64 z y))
(+.f64 z y)

Outputs
#s(approx (+ (+ x y) z) (+.f64 z x))
(.f64 (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 z z (*.f64 x (+.f64 z x))))
(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 x (-.f64 x z)) #s(literal 2 binary64)))) (-.f64 (.f64 z z) (.f64 x (-.f64 x z))))
(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (-.f64 x z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (.f64 x (-.f64 x z)) (-.f64 (.f64 x (-.f64 x z)) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (+.f64 z x) (-.f64 z x)) (*.f64 (+.f64 z x) (-.f64 z x))) (+.f64 z x))
(.f64 (fma.f64 x x (.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) (.f64 (+.f64 z x) (-.f64 z x)))
(.f64 (pow.f64 (fma.f64 z (-.f64 z x) (.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 z x))
(.f64 (fma.f64 (neg.f64 z) z (.f64 x x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x))))
(.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (-.f64 z x) (.f64 x x)))))
(.f64 (.f64 (+.f64 z x) (-.f64 z x)) (pow.f64 (-.f64 z x) #s(literal -1 binary64)))
(.f64 (fma.f64 z (-.f64 z x) (.f64 x x)) (/.f64 (+.f64 z x) (fma.f64 z (-.f64 z x) (*.f64 x x))))
(.f64 (fma.f64 z (-.f64 z x) (.f64 x x)) (.f64 (+.f64 z x) (pow.f64 (fma.f64 z (-.f64 z x) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 z (-.f64 z x) (.f64 x x)) #s(literal -1 binary64)))
(*.f64 (+.f64 z x) (/.f64 (-.f64 z x) (-.f64 z x)))
(.f64 (+.f64 z x) (.f64 (-.f64 z x) (pow.f64 (-.f64 z x) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 z x) #s(literal -1 binary64))) (fma.f64 z z (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 z x) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (fma.f64 z z (*.f64 x x)) (pow.f64 z #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 z (-.f64 z x) (.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (pow.f64 (fma.f64 z (-.f64 z x) (.f64 x x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 z x) #s(literal 3 binary64))))
(/.f64 (.f64 (.f64 (+.f64 z x) (-.f64 z x)) #s(literal 1 binary64)) (-.f64 z x))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 z (/.f64 z (-.f64 z x))) (.f64 z (/.f64 z (-.f64 z x)))) (.f64 (.f64 x (/.f64 x (-.f64 z x))) (.f64 x (/.f64 x (-.f64 z x))))) (fma.f64 z (/.f64 z (-.f64 z x)) (*.f64 x (/.f64 x (-.f64 z x)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x)))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x))))) (-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (.f64 z (/.f64 z (-.f64 z x))) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 z x))) #s(literal 3 binary64))) (fma.f64 (.f64 z (/.f64 z (-.f64 z x))) (.f64 z (/.f64 z (-.f64 z x))) (fma.f64 (.f64 x (/.f64 x (-.f64 z x))) (.f64 x (/.f64 x (-.f64 z x))) (.f64 (.f64 z (/.f64 z (-.f64 z x))) (*.f64 x (/.f64 x (-.f64 z x)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x)))) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x)))))))
(/.f64 (neg.f64 (fma.f64 x x (*.f64 (neg.f64 z) z))) (neg.f64 (-.f64 x z)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 x x))) (neg.f64 (neg.f64 (-.f64 z x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 z x) (*.f64 x x)))))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 z z (*.f64 x x)) (-.f64 z x)))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 z z (.f64 x x)) (pow.f64 z #s(literal 4 binary64))) (-.f64 z x)))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z (-.f64 z x) (*.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 z x) #s(literal 3 binary64))) (fma.f64 z (-.f64 z x) (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 z z) (-.f64 z x)) (.f64 (-.f64 z x) (.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x)) (.f64 (fma.f64 z (-.f64 z x) (.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 z (-.f64 z x) (.f64 x x)) (fma.f64 z (-.f64 z x) (.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 z z (.f64 x x)) (-.f64 z x)))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (-.f64 x z))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 x x) (fma.f64 z z (*.f64 x x)) (pow.f64 z #s(literal 4 binary64))) (-.f64 z x)))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z (-.f64 z x) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (fma.f64 x x (*.f64 (neg.f64 z) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 z x) #s(literal 3 binary64))) (fma.f64 z (-.f64 z x) (*.f64 x x))))
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (neg.f64 (-.f64 z x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z x) (*.f64 x x)))
(neg.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (-.f64 z x)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (-.f64 z x) (*.f64 x x))))
(neg.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (neg.f64 (-.f64 z x))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 z (-.f64 z x) (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 x (-.f64 x z)) #s(literal 2 binary64)))) (-.f64 (.f64 z z) (.f64 x (-.f64 x z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 x (-.f64 x z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (.f64 x (-.f64 x z)) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (*.f64 x x))))
(fma.f64 (/.f64 (.f64 z z) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 z z (.f64 x (+.f64 z x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 z x)))))
(fma.f64 (/.f64 (.f64 z z) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 z z (.f64 x (+.f64 z x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 z x)))
(fma.f64 (/.f64 (.f64 z z) (.f64 (+.f64 z x) (-.f64 z x))) (+.f64 z x) (neg.f64 (*.f64 x (/.f64 x (-.f64 z x)))))
(fma.f64 (/.f64 (.f64 z z) (.f64 (+.f64 z x) (-.f64 z x))) (+.f64 z x) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 z x)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 x (-.f64 x z)) #s(literal 2 binary64)))) (-.f64 (.f64 z z) (.f64 x (-.f64 x z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x))))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 x (-.f64 x z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (.f64 x (-.f64 x z)) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (*.f64 x x))))
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x))))
(fma.f64 (neg.f64 z) (/.f64 (neg.f64 z) (-.f64 z x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 z x)))))
(fma.f64 (neg.f64 z) (/.f64 (neg.f64 z) (-.f64 z x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 z x)))
(fma.f64 (fabs.f64 z) (/.f64 (fabs.f64 z) (-.f64 z x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 z x)))))
(fma.f64 (fabs.f64 z) (/.f64 (fabs.f64 z) (-.f64 z x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 z x)))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 z (-.f64 z x) (.f64 x x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (*.f64 x x))))
(fma.f64 (.f64 z z) (/.f64 z (fma.f64 z (-.f64 z x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (*.f64 x x))))
(fma.f64 (.f64 z z) (pow.f64 (-.f64 z x) #s(literal -1 binary64)) (neg.f64 (.f64 x (/.f64 x (-.f64 z x)))))
(fma.f64 (.f64 z z) (pow.f64 (-.f64 z x) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 z x)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 z (-.f64 z x) (.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x))))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 z (-.f64 z x) (.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x))))
(fma.f64 z (/.f64 z (-.f64 z x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 z x)))))
(fma.f64 z (/.f64 z (-.f64 z x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 z x)))
(fma.f64 z (/.f64 (.f64 z z) (fma.f64 z (-.f64 z x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (*.f64 x x))))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 z (-.f64 z x) (.f64 x x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (*.f64 x x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x z)) (/.f64 (.f64 z z) (-.f64 x z)))
(-.f64 (.f64 z (/.f64 z (-.f64 z x))) (.f64 x (/.f64 x (-.f64 z x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x))))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (-.f64 z x) (.f64 x x))))
(+.f64 (.f64 z (/.f64 z (-.f64 z x))) (neg.f64 (.f64 x (/.f64 x (-.f64 z x)))))
(+.f64 (.f64 z (/.f64 z (-.f64 z x))) (/.f64 (.f64 (neg.f64 x) x) (-.f64 z x)))
(+.f64 z x)
(+.f64 x z)
#s(approx (+ (+ x y) z) (+.f64 z y))
(.f64 (/.f64 (.f64 (+.f64 z y) (-.f64 z y)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z z (*.f64 y (+.f64 z y))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y (-.f64 y z)) #s(literal 2 binary64)))) (-.f64 (.f64 z z) (.f64 y (-.f64 y z))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (.f64 y (-.f64 y z)) (-.f64 (.f64 y (-.f64 y z)) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (+.f64 z y) (-.f64 z y)) (*.f64 (+.f64 z y) (-.f64 z y))) (+.f64 z y))
(.f64 (fma.f64 y y (.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 y z)))
(.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (.f64 (+.f64 z y) (-.f64 z y)))
(.f64 (pow.f64 (fma.f64 z (-.f64 z y) (.f64 y y)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 z y))
(.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z y))))
(.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (-.f64 z y) (.f64 y y)))))
(.f64 (.f64 (+.f64 z y) (-.f64 z y)) (pow.f64 (-.f64 z y) #s(literal -1 binary64)))
(.f64 (fma.f64 z (-.f64 z y) (.f64 y y)) (/.f64 (+.f64 z y) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(.f64 (fma.f64 z (-.f64 z y) (.f64 y y)) (.f64 (+.f64 z y) (pow.f64 (fma.f64 z (-.f64 z y) (.f64 y y)) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 z (-.f64 z y) (.f64 y y)) #s(literal -1 binary64)))
(*.f64 (+.f64 z y) (/.f64 (-.f64 z y) (-.f64 z y)))
(.f64 (+.f64 z y) (.f64 (-.f64 z y) (pow.f64 (-.f64 z y) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 z y) #s(literal -1 binary64))) (fma.f64 z z (.f64 y y)))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 z y) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (fma.f64 z z (*.f64 y y)) (pow.f64 z #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 z (-.f64 z y) (.f64 y y)) #s(literal -1 binary64))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (pow.f64 (fma.f64 z (-.f64 z y) (.f64 y y)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 z (/.f64 z (-.f64 z y))) (.f64 z (/.f64 z (-.f64 z y)))) (.f64 (.f64 y (/.f64 y (-.f64 z y))) (.f64 y (/.f64 y (-.f64 z y))))) (fma.f64 z (/.f64 z (-.f64 z y)) (*.f64 y (/.f64 y (-.f64 z y)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y)))) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))))) (-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y)))))
(/.f64 (-.f64 (pow.f64 (.f64 z (/.f64 z (-.f64 z y))) #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 y (-.f64 z y))) #s(literal 3 binary64))) (fma.f64 (.f64 z (/.f64 z (-.f64 z y))) (.f64 z (/.f64 z (-.f64 z y))) (fma.f64 (.f64 y (/.f64 y (-.f64 z y))) (.f64 y (/.f64 y (-.f64 z y))) (.f64 (.f64 z (/.f64 z (-.f64 z y))) (*.f64 y (/.f64 y (-.f64 z y)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) (-.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y)))) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y)))))))
(/.f64 (neg.f64 (fma.f64 y y (*.f64 (neg.f64 z) z))) (neg.f64 (-.f64 y z)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) z (*.f64 y y))) (neg.f64 (neg.f64 (-.f64 z y))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)))))
(/.f64 (.f64 (.f64 (+.f64 z y) (-.f64 z y)) #s(literal 1 binary64)) (-.f64 z y))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y)))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 z z (*.f64 y y)) (-.f64 z y)))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (fma.f64 z z (.f64 y y)) (pow.f64 z #s(literal 4 binary64))) (-.f64 z y)))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (fma.f64 z (-.f64 z y) (.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 z z) (-.f64 z y)) (.f64 (-.f64 z y) (.f64 y y))) (*.f64 (-.f64 z y) (-.f64 z y)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y)) (.f64 (fma.f64 z (-.f64 z y) (.f64 y y)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fma.f64 z (-.f64 z y) (.f64 y y)) (fma.f64 z (-.f64 z y) (.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (fma.f64 z z (.f64 y y)) (-.f64 z y)))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 y y) (fma.f64 z z (*.f64 y y)) (pow.f64 z #s(literal 4 binary64))) (-.f64 z y)))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 z (-.f64 z y) (.f64 y y))))
(/.f64 (fma.f64 y y (*.f64 (neg.f64 z) z)) (-.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (fma.f64 y y (*.f64 (neg.f64 z) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (neg.f64 (-.f64 z y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z y) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z y) (*.f64 y y)))
(neg.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (-.f64 z y)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(neg.f64 (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (neg.f64 (-.f64 z y))))
(neg.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y (-.f64 y z)) #s(literal 2 binary64)))) (-.f64 (.f64 z z) (.f64 y (-.f64 y z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 y (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (.f64 y (-.f64 y z)) (-.f64 (.f64 y (-.f64 y z)) (.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(fma.f64 (/.f64 (.f64 z z) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z z (.f64 y (+.f64 z y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 z y)))))
(fma.f64 (/.f64 (.f64 z z) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z z (.f64 y (+.f64 z y))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 z y)))
(fma.f64 (/.f64 (.f64 z z) (.f64 (+.f64 z y) (-.f64 z y))) (+.f64 z y) (neg.f64 (*.f64 y (/.f64 y (-.f64 z y)))))
(fma.f64 (/.f64 (.f64 z z) (.f64 (+.f64 z y) (-.f64 z y))) (+.f64 z y) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 z y)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y (-.f64 y z)) #s(literal 2 binary64)))) (-.f64 (.f64 z z) (.f64 y (-.f64 y z))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 y (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (.f64 y (-.f64 y z)) (-.f64 (.f64 y (-.f64 y z)) (.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))))
(fma.f64 (neg.f64 z) (/.f64 (neg.f64 z) (-.f64 z y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 z y)))))
(fma.f64 (neg.f64 z) (/.f64 (neg.f64 z) (-.f64 z y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 z y)))
(fma.f64 (fabs.f64 z) (/.f64 (fabs.f64 z) (-.f64 z y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 z y)))))
(fma.f64 (fabs.f64 z) (/.f64 (fabs.f64 z) (-.f64 z y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 z y)))
(fma.f64 (.f64 y y) (/.f64 y (fma.f64 z (-.f64 z y) (.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 z (-.f64 z y) (.f64 y y)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))))
(fma.f64 (.f64 z z) (/.f64 z (fma.f64 z (-.f64 z y) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(fma.f64 (.f64 z z) (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (-.f64 z y)))))
(fma.f64 (.f64 z z) (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 z y)))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 z (-.f64 z y) (.f64 y y)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))))
(fma.f64 z (/.f64 z (-.f64 z y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 z y)))))
(fma.f64 z (/.f64 z (-.f64 z y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 z y)))
(fma.f64 z (/.f64 (.f64 z z) (fma.f64 z (-.f64 z y) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(fma.f64 y (/.f64 (.f64 y y) (fma.f64 z (-.f64 z y) (.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(-.f64 (/.f64 (.f64 y y) (-.f64 y z)) (/.f64 (.f64 z z) (-.f64 y z)))
(-.f64 (.f64 z (/.f64 z (-.f64 z y))) (.f64 y (/.f64 y (-.f64 z y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (.f64 y y))))
(+.f64 (.f64 z (/.f64 z (-.f64 z y))) (neg.f64 (.f64 y (/.f64 y (-.f64 z y)))))
(+.f64 (.f64 z (/.f64 z (-.f64 z y))) (/.f64 (.f64 (neg.f64 y) y) (-.f64 z y)))
(+.f64 z y)
(+.f64 y z)

eval18.0ms (0.6%)

Memory: 30.5MiB live, 30.5MiB allocated
Compiler: Compiled 4 962 to 630 computations (87.3% saved)

prune13.0ms (0.5%)

Memory

-26.2MiB live, 12.3MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	175	1	176
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	175	4	179

Accuracy

100.0%

Counts

179 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 x y) z)
✓	53.6%	#s(approx (+ (+ x y) z) (+.f64 z y))
✓	98.8%	#s(approx (+ (+ x y) z) (+.f64 z x))
▶	47.7%	#s(approx (+ (+ x y) z) (+.f64 y x))

Compiler

Compiled 32 to 26 computations (18.8% saved)

simplify5.0ms (0.2%)

Memory

4.3MiB live, 4.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
0	8	14
1	12	14
2	19	14
3	21	14
0	21	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ x y) z) (+.f64 y x))
(+.f64 y x)
y
x

Outputs
#s(approx (+ (+ x y) z) (+.f64 y x))
(+.f64 y x)
y
x

localize14.0ms (0.5%)

Memory

22.4MiB live, 22.4MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 y x)
accuracy	33.502719122378345	#s(approx (+ (+ x y) z) (+.f64 y x))

Samples

10.0ms

256×

valid

Compiler

Compiled 26 to 15 computations (42.3% saved)

Precisions

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

ival-add: 3.0ms (79.2% of total)

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

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

series1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Counts

2 → 17

Calls

Call 1

Inputs
#s(approx (+ (+ x y) z) (+.f64 y x))
(+.f64 y x)

Outputs
(+ y z)
(+ x (+ y z))
y
(+ x y)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ x z)
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))

Calls

9 calls:

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

simplify135.0ms (4.7%)

Memory

-6.5MiB live, 73.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	59
1	151	59
2	438	59
3	1609	59
4	4849	59
5	6785	59
6	7361	59
7	7533	59
8	7593	59
9	7593	59
0	8051	59

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 14

Calls

Call 1

Inputs
(+ y z)
(+ x (+ y z))
y
(+ x y)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ x z)
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))

Outputs
(+ y z)
(+.f64 z y)
(+ x (+ y z))
(+.f64 (+.f64 z y) x)
y
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 z y) x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z y) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(+ x z)
(+.f64 z x)
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 (+.f64 z y) x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 (+.f64 z y) x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
z
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 z y) x)
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 z y) x)

rewrite214.0ms (7.4%)

Memory

-2.5MiB live, 152.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
0	8	12
1	45	12
2	489	12
3	7898	12
0	8048	12

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

2 → 114

Calls

Call 1

Inputs
#s(approx (+ (+ x y) z) (+.f64 y x))
(+.f64 y x)

Outputs
#s(approx (+ (+ x y) z) (+.f64 y x))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)))
(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (.f64 y y) (.f64 (-.f64 x y) x)))
(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x y) x) (-.f64 (.f64 (-.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 y x)) (*.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (.f64 (-.f64 x y) (+.f64 y x)))
(.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (.f64 (-.f64 y x) (+.f64 y x)))
(.f64 (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 x y) x (.f64 y y)))))
(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 y x) (+.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (.f64 (+.f64 y x) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64)))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (-.f64 x y)))
(*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 y x)))
(.f64 (+.f64 y x) (.f64 (-.f64 x y) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(.f64 (+.f64 y x) (.f64 (-.f64 y x) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (fma.f64 y y (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (fma.f64 y y (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1 binary64)) (-.f64 x y))
(/.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1 binary64)) (-.f64 y x))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y)))
(/.f64 (-.f64 (.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 x (/.f64 x (-.f64 x y)))) (.f64 (.f64 y (/.f64 y (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y)))))
(/.f64 (-.f64 (.f64 (.f64 y (/.f64 y (-.f64 y x))) (.f64 y (/.f64 y (-.f64 y x)))) (.f64 (.f64 x (/.f64 x (-.f64 y x))) (.f64 x (/.f64 x (-.f64 y x))))) (fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 x (/.f64 x (-.f64 y x)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y)))) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))))) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y)))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))))) (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 x (/.f64 x (-.f64 x y))) (fma.f64 (.f64 y (/.f64 y (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))) (.f64 (.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 y x))) #s(literal 3 binary64))) (fma.f64 (.f64 y (/.f64 y (-.f64 y x))) (.f64 y (/.f64 y (-.f64 y x))) (fma.f64 (.f64 x (/.f64 x (-.f64 y x))) (.f64 x (/.f64 x (-.f64 y x))) (.f64 (.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (-.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y)))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y)))) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 y y) (-.f64 y x)) (.f64 (-.f64 y x) (.f64 x x))) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y)) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y)) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 y y (.f64 x x)) (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (fma.f64 y y (.f64 x x)) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (.f64 y y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y))
(/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (-.f64 y x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(neg.f64 (neg.f64 (+.f64 y x)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (.f64 y y) (.f64 (-.f64 x y) x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x y) x) (-.f64 (.f64 (-.f64 x y) x) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (.f64 y y) (.f64 (-.f64 x y) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x y) x) (-.f64 (.f64 (-.f64 x y) x) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 (/.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (/.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x)) (*.f64 x (/.f64 x (-.f64 x y))))
(fma.f64 (/.f64 (.f64 y y) (.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (/.f64 (.f64 y y) (.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x) (*.f64 x (/.f64 x (-.f64 x y))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (.f64 x x)) (*.f64 y (/.f64 y (-.f64 y x))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (*.f64 y (/.f64 y (-.f64 y x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 y x))))
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) (-.f64 y x)) (*.f64 x (/.f64 x (-.f64 x y))))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 y x))))
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) (-.f64 y x)) (*.f64 x (/.f64 x (-.f64 x y))))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (.f64 y (/.f64 y (-.f64 y x))))
(fma.f64 (.f64 y y) (/.f64 y (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 (.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (.f64 x (/.f64 x (-.f64 x y))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))))
(fma.f64 y (/.f64 (.f64 y y) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 x (/.f64 x (-.f64 x y))))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 y x))))
(-.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))
(-.f64 (.f64 y (/.f64 y (-.f64 y x))) (.f64 x (/.f64 x (-.f64 y x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 y x))))
(+.f64 (.f64 y (/.f64 y (-.f64 y x))) (neg.f64 (.f64 x (/.f64 x (-.f64 y x)))))
(+.f64 (.f64 y (/.f64 y (-.f64 y x))) (.f64 x (/.f64 x (-.f64 x y))))
(+.f64 y x)
(+.f64 x y)

eval18.0ms (0.6%)

Memory: -17.0MiB live, 20.1MiB allocated
Compiler: Compiled 3 562 to 429 computations (88% saved)

prune4.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	118	4	122

Accuracy

100.0%

Counts

122 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 x y) z)
✓	53.6%	#s(approx (+ (+ x y) z) (+.f64 z y))
✓	98.8%	#s(approx (+ (+ x y) z) (+.f64 z x))
✓	47.7%	#s(approx (+ (+ x y) z) (+.f64 y x))

Compiler

Compiled 64 to 39 computations (39.1% saved)

regimes11.0ms (0.4%)

Memory

22.5MiB live, 22.5MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ x y) z) (+.f64 y x))
#s(approx (+ (+ x y) z) (+.f64 z x))
#s(approx (+ (+ x y) z) (+.f64 z y))
(+.f64 (+.f64 x y) z)

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

Calls

5 calls:

2.0ms	(+.f64 x y)
2.0ms	z
2.0ms	(+.f64 (+.f64 x y) z)
2.0ms	x
2.0ms	y

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 11 to 18 computations (-63.6% saved)

regimes12.0ms (0.4%)

Memory

-17.8MiB live, 20.0MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ x y) z) (+.f64 y x))
#s(approx (+ (+ x y) z) (+.f64 z x))
#s(approx (+ (+ x y) z) (+.f64 z y))

Outputs
#s(approx (+ (+ x y) z) (+.f64 z x))

Calls

5 calls:

4.0ms	(+.f64 (+.f64 x y) z)
2.0ms	z
2.0ms	(+.f64 x y)
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`y`
98.8%	1	`z`
98.8%	1	`(+.f64 (+.f64 x y) z)`
98.8%	1	`(+.f64 x y)`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes7.0ms (0.2%)

Memory

14.9MiB live, 14.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ x y) z) (+.f64 y x))

Outputs
#s(approx (+ (+ x y) z) (+.f64 y x))

Calls

5 calls:

1.0ms	(+.f64 (+.f64 x y) z)
1.0ms	y
1.0ms	(+.f64 x y)
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
47.7%	1	`x`
47.7%	1	`y`
47.7%	1	`z`
47.7%	1	`(+.f64 (+.f64 x y) z)`
47.7%	1	`(+.f64 x y)`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

simplify31.0ms (1.1%)

Memory

-24.5MiB live, 57.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	14	23

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 x y) z)
#s(approx (+ (+ x y) z) (+.f64 z x))
#s(approx (+ (+ x y) z) (+.f64 y x))

Outputs
(+.f64 (+.f64 x y) z)
(+.f64 z (+.f64 y x))
#s(approx (+ (+ x y) z) (+.f64 z x))
#s(approx (+ (+ x y) z) (+.f64 y x))

soundness804.0ms (27.8%)

Memory

15.0MiB live, 179.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	59
1	151	59
2	438	59
3	1609	59
4	4853	59
5	6794	59
6	7370	59
7	7542	59
8	7600	59
9	7600	59
0	8058	59
0	63	71
1	192	71
2	531	71
3	1824	71
4	4739	71
5	6723	71
6	7193	71
7	7424	71
8	7442	71
9	7442	71
0	8430	71

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 32 to 22 computations (31.3% saved)

preprocess27.0ms (0.9%)

Memory: -19.0MiB live, 58.3MiB allocated
Remove: (sort x y z)
Compiler: Compiled 76 to 50 computations (34.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample509.0ms (17.6%)

explain53.0ms (1.8%)

preprocess41.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize13.0ms (0.4%)

series2.0ms (0.1%)

simplify138.0ms (4.8%)

rewrite196.0ms (6.8%)

eval42.0ms (1.4%)

prune8.0ms (0.3%)

simplify5.0ms (0.2%)

localize17.0ms (0.6%)

series2.0ms (0.1%)

simplify195.0ms (6.7%)

rewrite349.0ms (12.1%)

eval18.0ms (0.6%)

prune13.0ms (0.5%)

simplify5.0ms (0.2%)

localize14.0ms (0.5%)

series1.0ms (0%)

simplify135.0ms (4.7%)

rewrite214.0ms (7.4%)

eval18.0ms (0.6%)

prune4.0ms (0.1%)

regimes11.0ms (0.4%)

regimes12.0ms (0.4%)

regimes7.0ms (0.2%)

simplify31.0ms (1.1%)

soundness804.0ms (27.8%)

preprocess27.0ms (0.9%)

end0.0ms (0%)

Profiling