Metrics for Statistics.Sample:robustSumVarWeighted from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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 9 to 8 computations (11.1% saved)

sample802.0ms (15.7%)

Memory

-8.1MiB live, 762.7MiB allocated

Samples

551.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 302.0ms

ival-mult: 219.0ms (72.4% of total)

ival-add: 74.0ms (24.5% of total)

ival-true: 6.0ms (2% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain236.0ms (4.6%)

Memory

-16.8MiB live, 107.0MiB allocated

FPErrors

Click to see full error table

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

80.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (69.5% of total)

ival-add: 2.0ms (19.9% of total)

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

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

preprocess83.0ms (1.6%)

Memory

5.8MiB live, 41.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	79	64
2	183	64
3	452	64
4	876	64
5	1140	64
6	1170	64
0	6	7
0	9	7
1	14	7
2	15	7
0	15	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 x (.f64 (.f64 y z) z))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y z)
cost-diff	0	(.f64 (.f64 y z) z)
cost-diff	1	(+.f64 x (.f64 (.f64 y z) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	14	18
2	15	18
0	15	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize29.0ms (0.6%)

Memory

-3.3MiB live, 35.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x (.f64 (.f64 y z) z))
accuracy	0.0	(*.f64 y z)
accuracy	0.109375	(.f64 (.f64 y z) z)

Samples

12.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 3.0ms (62.7% of total)

ival-add: 1.0ms (20.9% of total)

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

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

series7.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

3 → 9

Calls

Call 1

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

Outputs
(* y (pow z 2))
(+ x (* y (pow z 2)))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(* y z)
(* y (+ (/ x y) (pow z 2)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* (pow z 2) (+ y (/ x (pow z 2))))

Calls

9 calls:

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

simplify117.0ms (2.3%)

Memory

7.1MiB live, 88.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	51
1	87	51
2	241	51
3	716	51
4	2180	51
5	4432	51
6	7156	51
0	8234	45

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 8

Calls

Call 1

Inputs
(* y (pow z 2))
(+ x (* y (pow z 2)))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(* y z)
(* y (+ (/ x y) (pow z 2)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* (pow z 2) (+ y (/ x (pow z 2))))

Outputs
(* y (pow z 2))
(.f64 (.f64 z z) y)
(+ x (* y (pow z 2)))
(fma.f64 (*.f64 z y) z x)
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(fma.f64 (*.f64 z y) z x)
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(fma.f64 (*.f64 z y) z x)
(* y z)
(*.f64 z y)
(* y (+ (/ x y) (pow z 2)))
(fma.f64 (*.f64 z y) z x)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(fma.f64 (*.f64 z y) z x)
(* (pow z 2) (+ y (/ x (pow z 2))))
(fma.f64 (*.f64 z y) z x)

rewrite201.0ms (3.9%)

Memory

-5.5MiB live, 262.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	27	15
2	179	15
3	1792	15
0	8600	14

Stop Event

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

Counts

3 → 172

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 (.f64 z y) z)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (.f64 (*.f64 z y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 (.f64 z y) z)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 z y) z) (fma.f64 (.f64 z y) z x) (*.f64 x x)))
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y (-.f64 (.f64 (.f64 z y) z) x)) #s(literal 2 binary64))))) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 (.f64 z y) z) x) (.f64 (*.f64 z y) z))))
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y (-.f64 (.f64 (.f64 z y) z) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 z y) z)) (fma.f64 (-.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 z y) z) (neg.f64 (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64))) (-.f64 x (.f64 (.f64 z y) z))) (pow.f64 (fma.f64 x x (pow.f64 (.f64 (*.f64 z y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (-.f64 x (.f64 (.f64 z y) z))) (pow.f64 (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z))))) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z))))) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))))))
(.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 3 binary64))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))))))))
(.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (*.f64 z y) z) x))))
(.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x (.f64 (.f64 z y) z))) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 (.f64 z y) z x) #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 z y) z x)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))) (-.f64 x (.f64 (.f64 z y) z)))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (fma.f64 x x (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))))))
(.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (pow.f64 (-.f64 (.f64 (*.f64 z y) z) x) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (.f64 (*.f64 z y) z)))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (*.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))))))
(.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (*.f64 x x)))
(.f64 (pow.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (*.f64 z y) z)))) #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) z x))
(.f64 (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (*.f64 z y) z)))))))
(.f64 (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (*.f64 z y) z) x) #s(literal 3 binary64))))))
(.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
(.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (*.f64 z y) z))))))
(.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) (pow.f64 (-.f64 x (.f64 (*.f64 z y) z)) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (/.f64 (fma.f64 (.f64 z y) z x) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z))))))
(.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (*.f64 z y) z)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 z y) z x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z)))) (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z))) #s(literal 2 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x x (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))) (-.f64 x (.f64 (.f64 z y) z))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (.f64 (.f64 z y) z))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z))))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z))))) (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (-.f64 x (.f64 (.f64 z y) z))) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x (.f64 (.f64 z y) z)) (fma.f64 x x (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x (.f64 (.f64 z y) z)) (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 3 binary64)))) (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 3 binary64)))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 18 binary64)) (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 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) x (.f64 (*.f64 z y) z)))
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(/.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) (-.f64 x (.f64 (.f64 z y) z)))
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(neg.f64 (neg.f64 (fma.f64 (*.f64 z y) z x)))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 z y) z))
(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) x)
(fma.f64 (exp.f64 (log.f64 y)) (*.f64 z z) x)
(fma.f64 (exp.f64 (log.f64 (*.f64 z y))) (exp.f64 (log.f64 z)) x)
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (*.f64 z y))) x)
(fma.f64 (pow.f64 (*.f64 z y) #s(literal 1 binary64)) z x)
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (*.f64 z z) x)
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 z y) z) (fma.f64 (.f64 z y) z x) (.f64 x x)) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x))) (fma.f64 (.f64 z y) z x) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z)))))
(fma.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z)))))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 z) z) y) x)
(fma.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z)))))
(fma.f64 (*.f64 z z) (exp.f64 (log.f64 y)) x)
(fma.f64 (*.f64 z z) (pow.f64 y #s(literal 1 binary64)) x)
(fma.f64 (*.f64 z z) y x)
(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 (.f64 z y) z) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (*.f64 z y) z) x))))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z)))))
(fma.f64 (*.f64 z y) z x)
(fma.f64 z (pow.f64 (*.f64 z y) #s(literal 1 binary64)) x)
(fma.f64 z (*.f64 z y) x)
(fma.f64 y (*.f64 z z) x)
(fma.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z))) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z)))))
(-.f64 (/.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))))))) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (-.f64 x (.f64 (.f64 z y) z))) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 x (.f64 (.f64 z y) z)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))) (pow.f64 (-.f64 x (.f64 (*.f64 z y) z)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (fma.f64 x x (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64)) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (fma.f64 x x (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))))) (neg.f64 (fma.f64 (*.f64 z y) z x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)))) (-.f64 x (.f64 (.f64 z y) z))) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)))) (-.f64 x (.f64 (.f64 z y) z))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x (.f64 (.f64 z y) z))) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x (.f64 (.f64 z y) z))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64)))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z))))) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64)))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z))))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) x (.f64 (.f64 z y) z))) (neg.f64 (fma.f64 (*.f64 z y) z x)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 z y) z) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (*.f64 z y) z) x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 z y) z x)))
(-.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z))))
(-.f64 x (.f64 (.f64 (neg.f64 z) z) y))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 z y) z x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 z y) z) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (*.f64 z y) z) x))))
(+.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z)))))
(+.f64 (.f64 (.f64 z y) z) x)
(+.f64 x (.f64 (.f64 z y) z))
(.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 1/2 binary64)))
(.f64 (exp.f64 (log.f64 y)) (.f64 z z))
(.f64 (exp.f64 (log.f64 (.f64 z y))) (exp.f64 (log.f64 z)))
(.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (.f64 z y))))
(.f64 (pow.f64 (.f64 z y) #s(literal 1 binary64)) z)
(.f64 (pow.f64 y #s(literal 1 binary64)) (.f64 z z))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 (neg.f64 z) z) y))
(.f64 (.f64 z z) (exp.f64 (log.f64 y)))
(.f64 (.f64 z z) (pow.f64 y #s(literal 1 binary64)))
(.f64 (.f64 z z) y)
(.f64 (.f64 z y) z)
(.f64 z (pow.f64 (.f64 z y) #s(literal 1 binary64)))
(.f64 z (.f64 z y))
(.f64 y (.f64 z z))
(pow.f64 (.f64 (.f64 z y) z) #s(literal 1 binary64))
(neg.f64 (.f64 (.f64 (neg.f64 z) z) y))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (neg.f64 z) z) y))
(exp.f64 (*.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (log.f64 y)))
(*.f64 z y)
(*.f64 y z)

eval50.0ms (1%)

Memory: -13.9MiB live, 42.3MiB allocated
Compiler: Compiled 5 924 to 493 computations (91.7% saved)

prune4.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	171	4	175
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	171	5	176

Accuracy

100.0%

Counts

176 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 z y) z x)
▶	32.4%	(/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x))
▶	99.7%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)))
✓	99.9%	(+.f64 x (.f64 (.f64 y z) z))
▶	44.3%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))

Compiler

Compiled 55 to 42 computations (23.6% saved)

simplify80.0ms (1.6%)

Memory

-13.2MiB live, 26.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 (*.f64 z y) z x)
cost-diff	0	(pow.f64 z #s(literal 4 binary64))
cost-diff	0	(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
cost-diff	0	(fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))
cost-diff	0	(/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x))
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 (*.f64 z y) z x)
cost-diff	0	(pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64))
cost-diff	4	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 (.f64 z z) y)
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	130
0	39	125
1	60	125
2	72	125
3	103	125
4	188	125
5	321	125
6	751	125
7	1946	125
8	2399	125
9	2566	125
10	2639	125
11	2645	125
12	2647	125
13	2650	125
14	2651	125
0	2651	125

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
(.f64 (.f64 z z) y)
(*.f64 z z)
z
y
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64))
(fma.f64 (*.f64 z y) z x)
(*.f64 z y)
z
y
x
#s(literal -1 binary64)
(/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x))
(fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))
(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
(pow.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
y
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(-.f64 (.f64 (.f64 z y) z) x)
(.f64 (.f64 z y) z)
(*.f64 z y)
(fma.f64 (*.f64 z y) z x)
(*.f64 z y)
z
y
x

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

localize72.0ms (1.4%)

Memory

-10.0MiB live, 148.8MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z y)
accuracy	0.05859375	(fma.f64 (*.f64 z y) z x)
accuracy	0.109375	(.f64 (.f64 z y) z)
accuracy	3.886493453615988	(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
accuracy	6.18836985093172	(fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))
accuracy	37.720658615295136	(/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x))
accuracy	0.0	(*.f64 z y)
accuracy	0.05859375	(fma.f64 (*.f64 z y) z x)
accuracy	0.16015625	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)))
accuracy	0.2088417459128677	(pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64))
accuracy	0.0	(*.f64 z z)
accuracy	6.22211251615326	(.f64 (.f64 z z) y)
accuracy	32.55135475014446	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))

Samples

56.0ms

256×

valid

Compiler

Compiled 132 to 26 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 16.0ms (49.9% of total)

ival-pow: 6.0ms (18.7% of total)

ival-div: 3.0ms (9.4% of total)

ival-add: 3.0ms (9.4% of total)

ival-sub: 1.0ms (3.1% of total)

ival-neg: 1.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series49.0ms (1%)

Memory

1.5MiB live, 39.7MiB allocated

Counts

12 → 43

Calls

Call 1

Inputs
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
(.f64 (.f64 z z) y)
(*.f64 z z)
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64))
(fma.f64 (*.f64 z y) z x)
(*.f64 z y)
(/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x))
(fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))
(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
(pow.f64 z #s(literal 4 binary64))
(.f64 (.f64 z y) z)

Outputs
(* y (pow z 2))
(+ x (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(+ (* -1 (/ x (* (pow y 2) (pow z 4)))) (/ 1 (* y (pow z 2))))
(+ (* x (- (/ x (* (pow y 3) (pow z 6))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(+ (* x (- (* x (+ (* -1 (/ x (* (pow y 4) (pow z 8)))) (/ 1 (* (pow y 3) (pow z 6))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(* (pow y 2) (pow z 4))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(/ 1 x)
(/ (+ 1 (* -1 (/ (* y (pow z 2)) x))) x)
(/ (- (+ 1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x)) x)
(/ (- (+ 1 (* -1 (/ (* (pow y 3) (pow z 6)) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x))) x)
(* -1 (pow x 2))
(* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(* -1 (/ (- (/ (* y (pow z 2)) x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 4)) x) (* y (pow z 2))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 6)) x) (* (pow y 2) (pow z 4))) x)) (* y (pow z 2))) x)) 1) x))
(+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ 1 x))
(+ (* y (- (/ (* y (pow z 4)) (pow x 3)) (/ (pow z 2) (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (* -1 (/ (* y (pow z 6)) (pow x 4))) (* -1 (/ (pow z 4) (pow x 3))))) (/ (pow z 2) (pow x 2)))) (/ 1 x))
(* y z)
(* y (pow z 4))
(* y (+ (/ x y) (pow z 2)))
(/ (+ (* -1 (/ x (* y (pow z 4)))) (/ 1 (pow z 2))) y)
(/ (- (+ (/ 1 (pow z 2)) (/ (pow x 2) (* (pow y 2) (pow z 6)))) (/ x (* y (pow z 4)))) y)
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 3) (pow z 8)))) (/ 1 (pow z 2))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 6)))) (/ x (* y (pow z 4))))) y)
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (/ (- (/ x (* y (pow z 4))) (/ 1 (pow z 2))) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) (* y (pow z 6))) (/ x (pow z 4))) y)) (/ 1 (pow z 2))) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 8))) (/ (pow x 2) (pow z 6))) y)) (/ x (pow z 4))) y)) (/ 1 (pow z 2))) y))
(pow z 2)
(+ (* (pow z 2) (- (/ (* (pow y 2) (pow z 2)) (pow x 3)) (/ y (pow x 2)))) (/ 1 x))
(+ (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 4))) (* -1 (/ (pow y 2) (pow x 3))))) (/ y (pow x 2)))) (/ 1 x))
(pow z 4)
(* (pow z 2) (+ y (/ x (pow z 2))))
(/ (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 y)) (pow z 2))
(/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2)))) (pow z 2))
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) (pow z 6)))) (/ 1 y)) (+ (* -1 (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2))))) (pow z 2))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	z	@	0	((+ x (* (* y z) z)) (* (* z z) y) (* z z) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (+ (* (* z y) z) x) (* z y) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (pow z 4) y) (pow z 4) (* (* z y) z))
3.0ms	y	@	0	((+ x (* (* y z) z)) (* (* z z) y) (* z z) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (+ (* (* z y) z) x) (* z y) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (pow z 4) y) (pow z 4) (* (* z y) z))
3.0ms	z	@	inf	((+ x (* (* y z) z)) (* (* z z) y) (* z z) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (+ (* (* z y) z) x) (* z y) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (pow z 4) y) (pow z 4) (* (* z y) z))
2.0ms	y	@	-inf	((+ x (* (* y z) z)) (* (* z z) y) (* z z) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (+ (* (* z y) z) x) (* z y) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (pow z 4) y) (pow z 4) (* (* z y) z))
2.0ms	y	@	inf	((+ x (* (* y z) z)) (* (* z z) y) (* z z) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (+ (* (* z y) z) x) (* z y) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (pow z 4) y) (pow z 4) (* (* z y) z))

simplify184.0ms (3.6%)

Memory

15.1MiB live, 196.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	787
1	598	752
2	1809	710
3	7115	708
0	8364	694

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 42

Calls

Call 1

Inputs
(* y (pow z 2))
(+ x (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(+ (* -1 (/ x (* (pow y 2) (pow z 4)))) (/ 1 (* y (pow z 2))))
(+ (* x (- (/ x (* (pow y 3) (pow z 6))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(+ (* x (- (* x (+ (* -1 (/ x (* (pow y 4) (pow z 8)))) (/ 1 (* (pow y 3) (pow z 6))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(* (pow y 2) (pow z 4))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(/ 1 x)
(/ (+ 1 (* -1 (/ (* y (pow z 2)) x))) x)
(/ (- (+ 1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x)) x)
(/ (- (+ 1 (* -1 (/ (* (pow y 3) (pow z 6)) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x))) x)
(* -1 (pow x 2))
(* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(* -1 (/ (- (/ (* y (pow z 2)) x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 4)) x) (* y (pow z 2))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 6)) x) (* (pow y 2) (pow z 4))) x)) (* y (pow z 2))) x)) 1) x))
(+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ 1 x))
(+ (* y (- (/ (* y (pow z 4)) (pow x 3)) (/ (pow z 2) (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (* -1 (/ (* y (pow z 6)) (pow x 4))) (* -1 (/ (pow z 4) (pow x 3))))) (/ (pow z 2) (pow x 2)))) (/ 1 x))
(* y z)
(* y (pow z 4))
(* y (+ (/ x y) (pow z 2)))
(/ (+ (* -1 (/ x (* y (pow z 4)))) (/ 1 (pow z 2))) y)
(/ (- (+ (/ 1 (pow z 2)) (/ (pow x 2) (* (pow y 2) (pow z 6)))) (/ x (* y (pow z 4)))) y)
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 3) (pow z 8)))) (/ 1 (pow z 2))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 6)))) (/ x (* y (pow z 4))))) y)
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (/ (- (/ x (* y (pow z 4))) (/ 1 (pow z 2))) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) (* y (pow z 6))) (/ x (pow z 4))) y)) (/ 1 (pow z 2))) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 8))) (/ (pow x 2) (pow z 6))) y)) (/ x (pow z 4))) y)) (/ 1 (pow z 2))) y))
(pow z 2)
(+ (* (pow z 2) (- (/ (* (pow y 2) (pow z 2)) (pow x 3)) (/ y (pow x 2)))) (/ 1 x))
(+ (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 4))) (* -1 (/ (pow y 2) (pow x 3))))) (/ y (pow x 2)))) (/ 1 x))
(pow z 4)
(* (pow z 2) (+ y (/ x (pow z 2))))
(/ (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 y)) (pow z 2))
(/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2)))) (pow z 2))
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) (pow z 6)))) (/ 1 y)) (+ (* -1 (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2))))) (pow z 2))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))

Outputs
(* y (pow z 2))
(.f64 (.f64 z z) y)
(+ x (* y (pow z 2)))
(fma.f64 (*.f64 z z) y x)
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y))
(+ (* -1 (/ x (* (pow y 2) (pow z 4)))) (/ 1 (* y (pow z 2))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) y)
(+ (* x (- (/ x (* (pow y 3) (pow z 6))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(fma.f64 (/.f64 (/.f64 x (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) y))
(+ (* x (- (* x (+ (* -1 (/ x (* (pow y 4) (pow z 8)))) (/ 1 (* (pow y 3) (pow z 6))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(fma.f64 (.f64 x x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 x (pow.f64 z #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y))) y))
(* (pow y 2) (pow z 4))
(.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(fma.f64 (/.f64 (.f64 (.f64 z z) y) x) x x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 (/ (* y (pow z 2)) x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 z z) y) x)) x)
(/ (- (+ 1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x)) x)
(/.f64 (+.f64 (/.f64 (.f64 y (fma.f64 (neg.f64 z) z (.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) y))) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* -1 (/ (* (pow y 3) (pow z 6)) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 z z) y (/.f64 (.f64 (.f64 y y) (-.f64 (.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) x) y) (pow.f64 z #s(literal 4 binary64)))) x)) x)) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1))
(.f64 (fma.f64 (.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) y) (/.f64 y x) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(fma.f64 (/.f64 (.f64 (.f64 z z) y) x) x x)
(* -1 (/ (- (/ (* y (pow z 2)) x) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 z z) y) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 4)) x) (* y (pow z 2))) x)) 1) x))
(/.f64 (+.f64 (/.f64 (.f64 y (fma.f64 (neg.f64 z) z (.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) y))) x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 6)) x) (* (pow y 2) (pow z 4))) x)) (* y (pow z 2))) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 z z) y (/.f64 (.f64 (.f64 y y) (-.f64 (.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) x) y) (pow.f64 z #s(literal 4 binary64)))) x)) x)) x)
(+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 z z) y) x)) x)
(+ (* y (- (/ (* y (pow z 4)) (pow x 3)) (/ (pow z 2) (pow x 2)))) (/ 1 x))
(/.f64 (+.f64 (/.f64 (.f64 y (fma.f64 (neg.f64 z) z (.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) y))) x) #s(literal 1 binary64)) x)
(+ (* y (- (* y (- (* -1 (/ (* y (pow z 6)) (pow x 4))) (* -1 (/ (pow z 4) (pow x 3))))) (/ (pow z 2) (pow x 2)))) (/ 1 x))
(fma.f64 (fma.f64 (neg.f64 (/.f64 z x)) (/.f64 z x) (*.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64))) y (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) y)) y (/.f64 #s(literal 1 binary64) x))
(* y z)
(*.f64 z y)
(* y (pow z 4))
(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
(* y (+ (/ x y) (pow z 2)))
(*.f64 (fma.f64 z z (/.f64 x y)) y)
(/ (+ (* -1 (/ x (* y (pow z 4)))) (/ 1 (pow z 2))) y)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) y)
(/ (- (+ (/ 1 (pow z 2)) (/ (pow x 2) (* (pow y 2) (pow z 6)))) (/ x (* y (pow z 4)))) y)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (fma.f64 (/.f64 x (pow.f64 z #s(literal 6 binary64))) (/.f64 (neg.f64 x) y) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) y)) y)
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 3) (pow z 8)))) (/ 1 (pow z 2))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 6)))) (/ x (* y (pow z 4))))) y)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 8 binary64)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 z #s(literal 6 binary64))) (/.f64 (neg.f64 x) y) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) y)) y)
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(.f64 (fma.f64 (neg.f64 x) (/.f64 (/.f64 x y) y) (pow.f64 z #s(literal 4 binary64))) (.f64 y y))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(*.f64 (fma.f64 z z (/.f64 x y)) y)
(* -1 (/ (- (/ x (* y (pow z 4))) (/ 1 (pow z 2))) y))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) y)
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) (* y (pow z 6))) (/ x (pow z 4))) y)) (/ 1 (pow z 2))) y))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (fma.f64 (/.f64 x (pow.f64 z #s(literal 6 binary64))) (/.f64 (neg.f64 x) y) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) y)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 8))) (/ (pow x 2) (pow z 6))) y)) (/ x (pow z 4))) y)) (/ 1 (pow z 2))) y))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 8 binary64)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 z #s(literal 6 binary64))) (/.f64 (neg.f64 x) y) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) y)) y)
(pow z 2)
(*.f64 z z)
(+ (* (pow z 2) (- (/ (* (pow y 2) (pow z 2)) (pow x 3)) (/ y (pow x 2)))) (/ 1 x))
(/.f64 (+.f64 (/.f64 (.f64 y (fma.f64 (neg.f64 z) z (.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) y))) x) #s(literal 1 binary64)) x)
(+ (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 4))) (* -1 (/ (pow y 2) (pow x 3))))) (/ y (pow x 2)))) (/ 1 x))
(fma.f64 (fma.f64 (.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) z) (/.f64 z (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) y)) (pow.f64 z #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 z z) y) x)) x))
(pow z 4)
(pow.f64 z #s(literal 4 binary64))
(* (pow z 2) (+ y (/ x (pow z 2))))
(.f64 (.f64 (+.f64 (/.f64 x (*.f64 z z)) y) z) z)
(/ (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 y)) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) y)
(/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2)))) (pow z 2))
(/.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 (.f64 (.f64 z z) y) y)))) (.f64 z z))
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) (pow z 6)))) (/ 1 y)) (+ (* -1 (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2))))) (pow z 2))
(-.f64 (/.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))))) (.f64 z z)) (/.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y)) y))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(.f64 (fma.f64 (neg.f64 x) (/.f64 x (pow.f64 z #s(literal 4 binary64))) (.f64 y y)) (pow.f64 z #s(literal 4 binary64)))

rewrite574.0ms (11.3%)

Memory

-30.7MiB live, 338.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	91
0	39	73
1	133	73
2	830	73
0	8688	73

Stop Event

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

Counts

12 → 1 246

Calls

Call 1

Inputs
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
(.f64 (.f64 z z) y)
(*.f64 z z)
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64))
(fma.f64 (*.f64 z y) z x)
(*.f64 z y)
(/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x))
(fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))
(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
(pow.f64 z #s(literal 4 binary64))
(.f64 (.f64 z y) z)

Outputs
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))
(.f64 (.f64 z y) z)
(.f64 (.f64 z z) y)
(.f64 z (.f64 z y))
(.f64 y (.f64 z z))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) #s(literal 0 binary64)) (-.f64 (.f64 (.f64 z y) z) #s(literal 0 binary64)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 z y) z) #s(literal 0 binary64)))))
(fma.f64 (*.f64 z y) z #s(literal 0 binary64))
(fma.f64 (*.f64 z z) y #s(literal 0 binary64))
(fma.f64 z (*.f64 z y) #s(literal 0 binary64))
(fma.f64 y (*.f64 z z) #s(literal 0 binary64))
(+.f64 (.f64 (.f64 z y) z) #s(literal 0 binary64))
(*.f64 z z)
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 (.f64 z y) z (neg.f64 x)) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 (.f64 z y) z (neg.f64 x)) #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64))))) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 (.f64 z y) z (neg.f64 x)) #s(literal -1 binary64)) (fma.f64 (.f64 z y) z x)) (fma.f64 (*.f64 z y) z (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (fma.f64 (*.f64 z y) z x))))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)))) (pow.f64 (-.f64 x (.f64 (*.f64 z y) z)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (*.f64 z y) z)))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)))) (/.f64 (pow.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x x)) #s(literal -1 binary64)) (-.f64 x (.f64 (*.f64 z y) z))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x x)) #s(literal -1 binary64)) (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (*.f64 z y) z))))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (fma.f64 (.f64 z y) z x))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (-.f64 x (.f64 (.f64 z y) z))))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (.f64 z y) z))))))
(.f64 (/.f64 (fma.f64 (.f64 z y) z x) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)))) (/.f64 (fma.f64 (.f64 z y) z (neg.f64 x)) (-.f64 x (.f64 (*.f64 z y) z))))
(.f64 (/.f64 (fma.f64 (.f64 z y) z x) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 (.f64 z y) z (neg.f64 x)) (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (*.f64 z y) z))))))
(.f64 (/.f64 (fma.f64 (.f64 z y) z x) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 (fma.f64 (.f64 z y) z (neg.f64 x)) (pow.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (fma.f64 (.f64 z y) z x))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64)))) (fma.f64 (.f64 z y) z (neg.f64 x))) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64))))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x x)) #s(literal -1 binary64)) (fma.f64 (.f64 z y) z (neg.f64 x))))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (fma.f64 (*.f64 z y) z (neg.f64 x))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 z y) z (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) (/.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z y) z (neg.f64 x)) (-.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z y) z (neg.f64 x)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (*.f64 z y) z) x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) #s(literal -1 binary64)) (pow.f64 (-.f64 x (.f64 (*.f64 z y) z)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (*.f64 z y) z)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (fma.f64 (.f64 z y) z x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 (.f64 z y) z x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (*.f64 z y) z x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 z y) z (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 z y) z (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (*.f64 z y) z)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 x (.f64 (*.f64 z y) z)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (fma.f64 (*.f64 z y) z x))) #s(literal 1 binary64)))
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(pow.f64 (*.f64 z z) #s(literal 2 binary64))
(pow.f64 z #s(literal 4 binary64))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (*.f64 (log.f64 z) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 z z)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 4 binary64)))
(.f64 (.f64 z y) z)
(.f64 (.f64 z z) y)
(.f64 z (.f64 z y))
(.f64 y (.f64 z z))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) #s(literal 0 binary64)) (-.f64 (.f64 (.f64 z y) z) #s(literal 0 binary64)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 z y) z) #s(literal 0 binary64)))))
(fma.f64 (*.f64 z y) z #s(literal 0 binary64))
(fma.f64 (*.f64 z z) y #s(literal 0 binary64))
(fma.f64 z (*.f64 z y) #s(literal 0 binary64))
(fma.f64 y (*.f64 z z) #s(literal 0 binary64))
(+.f64 (.f64 (.f64 z y) z) #s(literal 0 binary64))

eval76.0ms (1.5%)

Memory: 8.9MiB live, 208.8MiB allocated
Compiler: Compiled 24 071 to 1 837 computations (92.4% saved)

prune19.0ms (0.4%)

Memory

-19.8MiB live, 55.3MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	661	7	668
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	663	10	673

Accuracy

100.0%

Counts

673 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.1%	(fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) #s(literal 1 binary64)) (/.f64 y (fma.f64 (.f64 z y) z (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 z y) z (neg.f64 x)))))
	39.0%	(fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) z) (fma.f64 (.f64 z y) z (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (*.f64 z y) z (neg.f64 x)))))
✓	99.9%	(fma.f64 (*.f64 z y) z x)
▶	32.4%	(/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (*.f64 z y) z) x))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) z x)))
▶	41.7%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) y)))
✓	99.9%	(+.f64 x (.f64 (.f64 y z) z))
▶	50.4%	(.f64 (sqrt.f64 (fma.f64 (.f64 z y) z x)) (sqrt.f64 (fma.f64 (*.f64 z y) z x)))
✓	44.3%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
▶	49.1%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))

Compiler

Compiled 322 to 196 computations (39.1% saved)

simplify100.0ms (2%)

Memory

23.0MiB live, 143.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) y)
cost-diff	0	#s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) y))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) y)))
cost-diff	0	(.f64 (.f64 (.f64 z z) (.f64 z z)) y)
cost-diff	0	(fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (*.f64 (neg.f64 x) x))
cost-diff	4	(.f64 (.f64 z z) (*.f64 z z))
cost-diff	13	(/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (*.f64 z y) z) x))
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 (*.f64 z y) z x)
cost-diff	0	(sqrt.f64 (fma.f64 (*.f64 z y) z x))
cost-diff	9	(.f64 (sqrt.f64 (fma.f64 (.f64 z y) z x)) (sqrt.f64 (fma.f64 (*.f64 z y) z x)))
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (.f64 z y) z)
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 (*.f64 z y) z x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) z x))
cost-diff	4	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) z x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	275
0	60	252
1	98	242
2	169	232
3	331	232
4	968	232
5	3791	232
6	6005	232
0	8052	232

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) z x)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) z x))
(fma.f64 (*.f64 z y) z x)
(*.f64 z y)
z
y
x
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))
(.f64 (.f64 z y) z)
(*.f64 z y)
z
y
(.f64 (sqrt.f64 (fma.f64 (.f64 z y) z x)) (sqrt.f64 (fma.f64 (*.f64 z y) z x)))
(sqrt.f64 (fma.f64 (*.f64 z y) z x))
(fma.f64 (*.f64 z y) z x)
(*.f64 z y)
z
y
x
(/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (*.f64 z y) z) x))
(fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (*.f64 (neg.f64 x) x))
(.f64 (.f64 (.f64 z z) (.f64 z z)) y)
(.f64 (.f64 z z) (*.f64 z z))
(*.f64 z z)
z
y
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(-.f64 (.f64 (.f64 z y) z) x)
(.f64 (.f64 z y) z)
(*.f64 z y)
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) y)))
#s(literal 1 binary64)
#s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) y))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) y)
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(*.f64 z z)
z
(/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y))
x
(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
(pow.f64 z #s(literal 4 binary64))
#s(literal 4 binary64)
y

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) z x)))
(fma.f64 (*.f64 y z) z x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) z x))
(pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal -1 binary64))
(fma.f64 (*.f64 z y) z x)
(fma.f64 (*.f64 y z) z x)
(*.f64 z y)
(*.f64 y z)
z
y
x
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))
(.f64 (.f64 z y) z)
(.f64 (.f64 y z) z)
(*.f64 z y)
(*.f64 y z)
z
y
(.f64 (sqrt.f64 (fma.f64 (.f64 z y) z x)) (sqrt.f64 (fma.f64 (*.f64 z y) z x)))
(fma.f64 (*.f64 y z) z x)
(sqrt.f64 (fma.f64 (*.f64 z y) z x))
(sqrt.f64 (fma.f64 (*.f64 y z) z x))
(fma.f64 (*.f64 z y) z x)
(fma.f64 (*.f64 y z) z x)
(*.f64 z y)
(*.f64 y z)
z
y
x
(/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (*.f64 z y) z) x))
(fma.f64 (*.f64 y z) z x)
(fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (*.f64 (neg.f64 x) x))
(fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 (neg.f64 x) x))
(.f64 (.f64 (.f64 z z) (.f64 z z)) y)
(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
(.f64 (.f64 z z) (*.f64 z z))
(pow.f64 z #s(literal 4 binary64))
(*.f64 z z)
z
y
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(-.f64 (.f64 (.f64 z y) z) x)
(fma.f64 (*.f64 z z) y (neg.f64 x))
(.f64 (.f64 z y) z)
(.f64 (.f64 y z) z)
(*.f64 z y)
(*.f64 y z)
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) y)))
#s(literal 1 binary64)
#s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) y))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) y)
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(*.f64 z z)
z
(/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y))
x
(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
(pow.f64 z #s(literal 4 binary64))
#s(literal 4 binary64)
y

localize118.0ms (2.3%)

Memory

-35.0MiB live, 135.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	2.3401675874127057	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) y)
accuracy	3.0788945873346614	(/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y))
accuracy	3.6991898516228816	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))
accuracy	16.295121844714416	#s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) y))
accuracy	0.078125	(.f64 (.f64 z z) (*.f64 z z))
accuracy	1.9725759054694256	(.f64 (.f64 (.f64 z z) (.f64 z z)) y)
accuracy	4.894628893018713	(fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (*.f64 (neg.f64 x) x))
accuracy	19.013702396958767	(/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (*.f64 z y) z) x))
accuracy	0.0	(*.f64 z y)
accuracy	0.01171875	(fma.f64 (*.f64 z y) z x)
accuracy	0.20703125	(.f64 (sqrt.f64 (fma.f64 (.f64 z y) z x)) (sqrt.f64 (fma.f64 (*.f64 z y) z x)))
accuracy	5.3949601613653115	(sqrt.f64 (fma.f64 (*.f64 z y) z x))
accuracy	0.0	(*.f64 z y)
accuracy	0.04296875	(.f64 (.f64 z y) z)
accuracy	15.912383999795592	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))
accuracy	0.0	(*.f64 z y)
accuracy	0.01171875	(fma.f64 (*.f64 z y) z x)
accuracy	0.08984375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) z x)))
accuracy	0.16911547637598368	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) z x))

Samples

42.0ms	130×	0	valid
30.0ms	126×	0	invalid

Compiler

Compiled 250 to 35 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 15.0ms (27.9% of total)

ival-sub: 15.0ms (27.9% of total)

ival-div: 11.0ms (20.5% of total)

ival-pow: 6.0ms (11.2% of total)

ival-add: 3.0ms (5.6% of total)

ival-sqrt: 2.0ms (3.7% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series34.0ms (0.7%)

Memory

13.0MiB live, 51.2MiB allocated

Counts

17 → 87

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) z x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) z x))
(fma.f64 (*.f64 z y) z x)
(*.f64 z y)
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))
(.f64 (.f64 z y) z)
(.f64 (sqrt.f64 (fma.f64 (.f64 z y) z x)) (sqrt.f64 (fma.f64 (*.f64 z y) z x)))
(sqrt.f64 (fma.f64 (*.f64 z y) z x))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (*.f64 z y) z) x))
(.f64 (.f64 z z) (*.f64 z z))
(fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (*.f64 (neg.f64 x) x))
(.f64 (.f64 (.f64 z z) (.f64 z z)) y)
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) y)))
#s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) y))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) y)
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))
(/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y))

Outputs
(* y (pow z 2))
(+ x (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(+ (* -1 (/ x (* (pow y 2) (pow z 4)))) (/ 1 (* y (pow z 2))))
(+ (* x (- (/ x (* (pow y 3) (pow z 6))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(+ (* x (- (* x (+ (* -1 (/ x (* (pow y 4) (pow z 8)))) (/ 1 (* (pow y 3) (pow z 6))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(* (sqrt y) z)
(+ (* 1/2 (* (/ x z) (sqrt (/ 1 y)))) (* (sqrt y) z))
(+ (* x (+ (* -1/8 (* (/ x (pow z 3)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 z))))) (* (sqrt y) z))
(+ (* x (+ (* 1/2 (* (sqrt (/ 1 y)) (/ 1 z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow z 3)))) (* 1/16 (* (/ x (pow z 5)) (sqrt (/ 1 (pow y 5))))))))) (* (sqrt y) z))
(* (pow y 2) (pow z 4))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(/ 1 (pow z 2))
(+ (* -1 (/ x (* y (pow z 4)))) (/ 1 (pow z 2)))
(/ x (* y (pow z 4)))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(/ 1 x)
(/ (+ 1 (* -1 (/ (* y (pow z 2)) x))) x)
(/ (- (+ 1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x)) x)
(/ (- (+ 1 (* -1 (/ (* (pow y 3) (pow z 6)) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x))) x)
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow z 4)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow z 4)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (pow z 6)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2))))))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1))
(* -1 (/ x (* (pow y 2) (pow z 4))))
(* x (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* (pow y 2) (pow z 4)))))
(* -1 (/ x (* y (pow z 4))))
(* x (- (/ 1 (* x (pow z 2))) (/ 1 (* y (pow z 4)))))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(* -1 (/ (- (/ (* y (pow z 2)) x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 4)) x) (* y (pow z 2))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 6)) x) (* (pow y 2) (pow z 4))) x)) (* y (pow z 2))) x)) 1) x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow y 2) (pow z 4)) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow y 2) (pow z 4)) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (pow y 3) (pow z 6)) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (/ 1 (* (pow y 2) (pow z 4))) (/ 1 (* x (* y (pow z 2)))))))
(* -1 (* x (- (/ 1 (* y (pow z 4))) (/ 1 (* x (pow z 2))))))
(+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ 1 x))
(+ (* y (- (/ (* y (pow z 4)) (pow x 3)) (/ (pow z 2) (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (* -1 (/ (* y (pow z 6)) (pow x 4))) (* -1 (/ (pow z 4) (pow x 3))))) (/ (pow z 2) (pow x 2)))) (/ 1 x))
(* y z)
(+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) (* y (pow z 2)))))
(+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 4)))) (* 1/2 (* (sqrt (/ 1 x)) (pow z 2))))))
(+ (sqrt x) (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (pow z 2))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow z 4))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (* y (pow z 6)))))))))
(* y (pow z 4))
(/ (+ (* -1 (/ x (pow z 4))) (/ y (pow z 2))) (pow y 2))
(/ (- (/ y (pow z 2)) (/ x (pow z 4))) y)
(* y (+ (/ x y) (pow z 2)))
(/ (+ (* -1 (/ x (* y (pow z 4)))) (/ 1 (pow z 2))) y)
(/ (- (+ (/ 1 (pow z 2)) (/ (pow x 2) (* (pow y 2) (pow z 6)))) (/ x (* y (pow z 4)))) y)
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 3) (pow z 8)))) (/ 1 (pow z 2))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 6)))) (/ x (* y (pow z 4))))) y)
(* y (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) z)))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow z 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) z))))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow z 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow z 5)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) z)))))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (/ (- (/ x (* y (pow z 4))) (/ 1 (pow z 2))) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) (* y (pow z 6))) (/ x (pow z 4))) y)) (/ 1 (pow z 2))) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 8))) (/ (pow x 2) (pow z 6))) y)) (/ x (pow z 4))) y)) (/ 1 (pow z 2))) y))
(* -1 (* (sqrt y) (* z (pow (sqrt -1) 2))))
(* -1 (* y (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (* (pow z 3) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2)))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (* (pow z 3) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (* (pow z 5) (pow (sqrt -1) 4))) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2))))))))
(+ (* (pow z 2) (- (/ (* (pow y 2) (pow z 2)) (pow x 3)) (/ y (pow x 2)))) (/ 1 x))
(+ (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 4))) (* -1 (/ (pow y 2) (pow x 3))))) (/ y (pow x 2)))) (/ 1 x))
(+ (sqrt x) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (* (pow y 2) (pow z 2)))) (* 1/2 (* (sqrt (/ 1 x)) y)))))
(+ (sqrt x) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 x)) y)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow y 2))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (* (pow y 3) (pow z 2)))))))))
(pow z 4)
(/ (+ (* -1 (/ x (pow y 2))) (/ (pow z 2) y)) (pow z 4))
(/ (- (pow z 2) (/ x y)) (pow z 4))
(* (pow z 2) (+ y (/ x (pow z 2))))
(/ (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 y)) (pow z 2))
(/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2)))) (pow z 2))
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) (pow z 6)))) (/ 1 y)) (+ (* -1 (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2))))) (pow z 2))
(* z (+ (sqrt y) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))
(* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))
(* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (+ (* 1/16 (* (/ (pow x 3) (pow z 6)) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(/ (+ 1 (* -1 (/ x (* y (pow z 2))))) (pow z 2))
(* -1 (* (sqrt y) z))
(* -1 (* z (+ (sqrt y) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))
(* -1 (* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))))
(* -1 (* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (+ (* 1/16 (* (/ (pow x 3) (pow z 6)) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))))

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	((/ 1 (/ 1 (+ (* (* z y) z) x))) (/ 1 (+ (* (* z y) z) x)) (+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z y) z) (* (sqrt (+ (* (* z y) z) x)) (sqrt (+ (* (* z y) z) x))) (sqrt (+ (* (* z y) z) x)) (/ (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (* (* z z) (* z z)) (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (* (* (* z z) (* z z)) y) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (/ (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) y) (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/ x (* (pow z 4) y)))
6.0ms	x	@	-inf	((/ 1 (/ 1 (+ (* (* z y) z) x))) (/ 1 (+ (* (* z y) z) x)) (+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z y) z) (* (sqrt (+ (* (* z y) z) x)) (sqrt (+ (* (* z y) z) x))) (sqrt (+ (* (* z y) z) x)) (/ (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (* (* z z) (* z z)) (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (* (* (* z z) (* z z)) y) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (/ (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) y) (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/ x (* (pow z 4) y)))
3.0ms	x	@	inf	((/ 1 (/ 1 (+ (* (* z y) z) x))) (/ 1 (+ (* (* z y) z) x)) (+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z y) z) (* (sqrt (+ (* (* z y) z) x)) (sqrt (+ (* (* z y) z) x))) (sqrt (+ (* (* z y) z) x)) (/ (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (* (* z z) (* z z)) (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (* (* (* z z) (* z z)) y) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (/ (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) y) (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/ x (* (pow z 4) y)))
3.0ms	z	@	0	((/ 1 (/ 1 (+ (* (* z y) z) x))) (/ 1 (+ (* (* z y) z) x)) (+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z y) z) (* (sqrt (+ (* (* z y) z) x)) (sqrt (+ (* (* z y) z) x))) (sqrt (+ (* (* z y) z) x)) (/ (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (* (* z z) (* z z)) (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (* (* (* z z) (* z z)) y) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (/ (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) y) (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/ x (* (pow z 4) y)))
3.0ms	y	@	inf	((/ 1 (/ 1 (+ (* (* z y) z) x))) (/ 1 (+ (* (* z y) z) x)) (+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z y) z) (* (sqrt (+ (* (* z y) z) x)) (sqrt (+ (* (* z y) z) x))) (sqrt (+ (* (* z y) z) x)) (/ (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (* (* z z) (* z z)) (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (* (* (* z z) (* z z)) y) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (/ (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) y) (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/ x (* (pow z 4) y)))

simplify155.0ms (3%)

Memory

23.7MiB live, 178.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	415	1987
1	1261	1919
2	4248	1882
0	8206	1816

Stop Event

1×	iter limit
1×	node limit

Counts

87 → 86

Calls

Call 1

Inputs
(* y (pow z 2))
(+ x (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(+ (* -1 (/ x (* (pow y 2) (pow z 4)))) (/ 1 (* y (pow z 2))))
(+ (* x (- (/ x (* (pow y 3) (pow z 6))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(+ (* x (- (* x (+ (* -1 (/ x (* (pow y 4) (pow z 8)))) (/ 1 (* (pow y 3) (pow z 6))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(* (sqrt y) z)
(+ (* 1/2 (* (/ x z) (sqrt (/ 1 y)))) (* (sqrt y) z))
(+ (* x (+ (* -1/8 (* (/ x (pow z 3)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 z))))) (* (sqrt y) z))
(+ (* x (+ (* 1/2 (* (sqrt (/ 1 y)) (/ 1 z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow z 3)))) (* 1/16 (* (/ x (pow z 5)) (sqrt (/ 1 (pow y 5))))))))) (* (sqrt y) z))
(* (pow y 2) (pow z 4))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(/ 1 (pow z 2))
(+ (* -1 (/ x (* y (pow z 4)))) (/ 1 (pow z 2)))
(/ x (* y (pow z 4)))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(/ 1 x)
(/ (+ 1 (* -1 (/ (* y (pow z 2)) x))) x)
(/ (- (+ 1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x)) x)
(/ (- (+ 1 (* -1 (/ (* (pow y 3) (pow z 6)) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x))) x)
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow z 4)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow z 4)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (pow z 6)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2))))))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1))
(* -1 (/ x (* (pow y 2) (pow z 4))))
(* x (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* (pow y 2) (pow z 4)))))
(* -1 (/ x (* y (pow z 4))))
(* x (- (/ 1 (* x (pow z 2))) (/ 1 (* y (pow z 4)))))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(* -1 (/ (- (/ (* y (pow z 2)) x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 4)) x) (* y (pow z 2))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 6)) x) (* (pow y 2) (pow z 4))) x)) (* y (pow z 2))) x)) 1) x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow y 2) (pow z 4)) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow y 2) (pow z 4)) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (pow y 3) (pow z 6)) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (/ 1 (* (pow y 2) (pow z 4))) (/ 1 (* x (* y (pow z 2)))))))
(* -1 (* x (- (/ 1 (* y (pow z 4))) (/ 1 (* x (pow z 2))))))
(+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ 1 x))
(+ (* y (- (/ (* y (pow z 4)) (pow x 3)) (/ (pow z 2) (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (* -1 (/ (* y (pow z 6)) (pow x 4))) (* -1 (/ (pow z 4) (pow x 3))))) (/ (pow z 2) (pow x 2)))) (/ 1 x))
(* y z)
(+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) (* y (pow z 2)))))
(+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 4)))) (* 1/2 (* (sqrt (/ 1 x)) (pow z 2))))))
(+ (sqrt x) (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (pow z 2))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow z 4))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (* y (pow z 6)))))))))
(* y (pow z 4))
(/ (+ (* -1 (/ x (pow z 4))) (/ y (pow z 2))) (pow y 2))
(/ (- (/ y (pow z 2)) (/ x (pow z 4))) y)
(* y (+ (/ x y) (pow z 2)))
(/ (+ (* -1 (/ x (* y (pow z 4)))) (/ 1 (pow z 2))) y)
(/ (- (+ (/ 1 (pow z 2)) (/ (pow x 2) (* (pow y 2) (pow z 6)))) (/ x (* y (pow z 4)))) y)
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 3) (pow z 8)))) (/ 1 (pow z 2))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 6)))) (/ x (* y (pow z 4))))) y)
(* y (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) z)))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow z 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) z))))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow z 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow z 5)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) z)))))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (/ (- (/ x (* y (pow z 4))) (/ 1 (pow z 2))) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) (* y (pow z 6))) (/ x (pow z 4))) y)) (/ 1 (pow z 2))) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 8))) (/ (pow x 2) (pow z 6))) y)) (/ x (pow z 4))) y)) (/ 1 (pow z 2))) y))
(* -1 (* (sqrt y) (* z (pow (sqrt -1) 2))))
(* -1 (* y (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (* (pow z 3) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2)))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (* (pow z 3) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (* (pow z 5) (pow (sqrt -1) 4))) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2))))))))
(+ (* (pow z 2) (- (/ (* (pow y 2) (pow z 2)) (pow x 3)) (/ y (pow x 2)))) (/ 1 x))
(+ (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 4))) (* -1 (/ (pow y 2) (pow x 3))))) (/ y (pow x 2)))) (/ 1 x))
(+ (sqrt x) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (* (pow y 2) (pow z 2)))) (* 1/2 (* (sqrt (/ 1 x)) y)))))
(+ (sqrt x) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 x)) y)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow y 2))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (* (pow y 3) (pow z 2)))))))))
(pow z 4)
(/ (+ (* -1 (/ x (pow y 2))) (/ (pow z 2) y)) (pow z 4))
(/ (- (pow z 2) (/ x y)) (pow z 4))
(* (pow z 2) (+ y (/ x (pow z 2))))
(/ (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 y)) (pow z 2))
(/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2)))) (pow z 2))
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) (pow z 6)))) (/ 1 y)) (+ (* -1 (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2))))) (pow z 2))
(* z (+ (sqrt y) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))
(* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))
(* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (+ (* 1/16 (* (/ (pow x 3) (pow z 6)) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(/ (+ 1 (* -1 (/ x (* y (pow z 2))))) (pow z 2))
(* -1 (* (sqrt y) z))
(* -1 (* z (+ (sqrt y) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))
(* -1 (* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))))
(* -1 (* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (+ (* 1/16 (* (/ (pow x 3) (pow z 6)) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))))

Outputs
(* y (pow z 2))
(.f64 (.f64 z z) y)
(+ x (* y (pow z 2)))
(fma.f64 (*.f64 z z) y x)
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y))
(+ (* -1 (/ x (* (pow y 2) (pow z 4)))) (/ 1 (* y (pow z 2))))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) z) (/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y))) y)
(+ (* x (- (/ x (* (pow y 3) (pow z 6))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(fma.f64 (-.f64 (/.f64 (/.f64 x (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y y))) x (/.f64 #s(literal 1 binary64) (.f64 (*.f64 z z) y)))
(+ (* x (- (* x (+ (* -1 (/ x (* (pow y 4) (pow z 8)))) (/ 1 (* (pow y 3) (pow z 6))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 x (pow.f64 z #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) x (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y)))
(* (sqrt y) z)
(*.f64 (sqrt.f64 y) z)
(+ (* 1/2 (* (/ x z) (sqrt (/ 1 y)))) (* (sqrt y) z))
(fma.f64 (.f64 (/.f64 x z) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (sqrt.f64 y) z))
(+ (* x (+ (* -1/8 (* (/ x (pow z 3)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 z))))) (* (sqrt y) z))
(fma.f64 (fma.f64 (.f64 x #s(literal -1/8 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 z #s(literal 3 binary64))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z) #s(literal 1/2 binary64))) x (*.f64 (sqrt.f64 y) z))
(+ (* x (+ (* 1/2 (* (sqrt (/ 1 y)) (/ 1 z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow z 3)))) (* 1/16 (* (/ x (pow z 5)) (sqrt (/ 1 (pow y 5))))))))) (* (sqrt y) z))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 x (pow.f64 z #s(literal 5 binary64))) #s(literal 1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/8 binary64))) x (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z) #s(literal 1/2 binary64))) x (.f64 (sqrt.f64 y) z))
(* (pow y 2) (pow z 4))
(.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))
(/ 1 (pow z 2))
(/.f64 (/.f64 #s(literal 1 binary64) z) z)
(+ (* -1 (/ x (* y (pow z 4)))) (/ 1 (pow z 2)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) z) (/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y)))
(/ x (* y (pow z 4)))
(/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(fma.f64 (/.f64 (.f64 (.f64 z z) y) x) x x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 (/ (* y (pow z 2)) x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 z z) y) x)) x)
(/ (- (+ 1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x)) x)
(/.f64 (+.f64 (/.f64 (.f64 y (fma.f64 (neg.f64 z) z (.f64 y (/.f64 (pow.f64 z #s(literal 4 binary64)) x)))) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* -1 (/ (* (pow y 3) (pow z 6)) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x))) x)
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (.f64 z z) y (/.f64 (.f64 (.f64 y y) (-.f64 (.f64 y (/.f64 (pow.f64 z #s(literal 6 binary64)) x)) (pow.f64 z #s(literal 4 binary64)))) x))) x) #s(literal 1 binary64)) x)
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2))))))
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(.f64 (+.f64 (fma.f64 (.f64 (.f64 x (/.f64 x (pow.f64 z #s(literal 4 binary64)))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 x z)) (.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))) z)
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(.f64 (fma.f64 (neg.f64 x) (/.f64 x (pow.f64 z #s(literal 4 binary64))) (.f64 y y)) (pow.f64 z #s(literal 4 binary64)))
(/ (+ 1 (* -1 (/ x (* y (pow z 2))))) (pow z 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 x z) z) y)) z) z)
(* -1 (* (sqrt y) z))
(*.f64 (neg.f64 z) (sqrt.f64 y))
(* -1 (* z (+ (sqrt y) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))
(.f64 (neg.f64 z) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 x z)) (sqrt.f64 y)))
(* -1 (* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))))
(.f64 (neg.f64 z) (fma.f64 (.f64 (.f64 x (/.f64 x (pow.f64 z #s(literal 4 binary64)))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 x z)) (sqrt.f64 y))))
(* -1 (* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (+ (* 1/16 (* (/ (pow x 3) (pow z 6)) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))))
(.f64 (neg.f64 z) (+.f64 (fma.f64 (.f64 (.f64 x (/.f64 x (pow.f64 z #s(literal 4 binary64)))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 x z)) (.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))))))

rewrite239.0ms (4.7%)

Memory

-18.2MiB live, 222.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	206
0	60	163
1	223	155
2	1938	155
0	8382	155

Stop Event

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

Counts

17 → 1 221

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) z x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) z x))
(fma.f64 (*.f64 z y) z x)
(*.f64 z y)
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))
(.f64 (.f64 z y) z)
(.f64 (sqrt.f64 (fma.f64 (.f64 z y) z x)) (sqrt.f64 (fma.f64 (*.f64 z y) z x)))
(sqrt.f64 (fma.f64 (*.f64 z y) z x))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (*.f64 z y) z) x))
(.f64 (.f64 z z) (*.f64 z z))
(fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (*.f64 (neg.f64 x) x))
(.f64 (.f64 (.f64 z z) (.f64 z z)) y)
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) y)))
#s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) y))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) y)
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))
(/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y))

Outputs
(.f64 (fabs.f64 (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)))) (fma.f64 (.f64 y z) z x))
(.f64 (fabs.f64 (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (fma.f64 (.f64 y z) z x)))))
(.f64 (fabs.f64 (-.f64 (.f64 x x) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) (fabs.f64 (pow.f64 (-.f64 x (.f64 (.f64 y z) z)) #s(literal -1 binary64))))
(.f64 (fabs.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))) (fabs.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1 binary64))))
(.f64 (fabs.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1 binary64))) (fabs.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))))
(.f64 (fabs.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (fma.f64 (.f64 (.f64 y z) z) (fma.f64 (.f64 z z) y (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64))))
(.f64 (fabs.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (*.f64 y z) z)))) #s(literal -1 binary64))))
(.f64 (fabs.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)))) (fabs.f64 (pow.f64 (neg.f64 (fma.f64 (.f64 z z) y (neg.f64 x))) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (pow.f64 (fma.f64 (.f64 y z) z x) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 y z) z x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x (.f64 (.f64 y z) z)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 (.f64 y z) z) (fma.f64 (.f64 z z) y (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (*.f64 y z) z)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) (-.f64 (pow.f64 (.f64 (.f64 y z) z) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 (.f64 (.f64 (*.f64 y z) z) x) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))) #s(literal 1 binary64)) (fma.f64 (.f64 y z) z x))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (fma.f64 (.f64 y z) z x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 x x) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 x (.f64 (.f64 y z) z)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 (.f64 y z) z) (fma.f64 (.f64 z z) y (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (*.f64 y z) z)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (.f64 z z) y (neg.f64 x))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))) (fma.f64 (.f64 y z) z x))
(.f64 (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (fma.f64 (.f64 y z) z x))))
(.f64 (pow.f64 (fma.f64 (.f64 y z) z x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 y z) z x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (pow.f64 (-.f64 x (.f64 (.f64 y z) z)) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1 binary64)) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)))
(.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 y z) z) (fma.f64 (.f64 z z) y (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (*.f64 y z) z)))) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))) (pow.f64 (neg.f64 (fma.f64 (.f64 z z) y (neg.f64 x))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (fma.f64 (.f64 y z) z x)) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 y z) z x)))
(.f64 (sqrt.f64 (fma.f64 (.f64 y z) z x)) (sqrt.f64 (fma.f64 (*.f64 y z) z x)))
(.f64 (fma.f64 (.f64 y z) z x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (fma.f64 (*.f64 y z) z x))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (fma.f64 (*.f64 y z) z x))))
(pow.f64 (/.f64 (-.f64 x (.f64 (.f64 y z) z)) (-.f64 (.f64 x x) (.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 y z) z) (fma.f64 (.f64 z z) y (neg.f64 x)) (.f64 x x)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (.f64 y z) z)))) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 y z) z x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x (.f64 (.f64 y z) z))) (.f64 (-.f64 x (.f64 (.f64 y z) z)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) (pow.f64 (-.f64 x (.f64 (*.f64 y z) z)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (fma.f64 (.f64 z z) y (neg.f64 x))) (.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) (.f64 x x))) (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (fabs.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 y z) z) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1 binary64)))) (fabs.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x x))))
(/.f64 (fabs.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1 binary64)))) (fabs.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 (.f64 (.f64 (*.f64 y z) z) x) #s(literal 2 binary64)))))))
(/.f64 (fabs.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)))) (fabs.f64 (neg.f64 (-.f64 x (.f64 (*.f64 y z) z)))))
(/.f64 (fabs.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (neg.f64 (fma.f64 (.f64 (.f64 y z) z) (fma.f64 (.f64 z z) y (neg.f64 x)) (.f64 x x)))))
(/.f64 (fabs.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (neg.f64 (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (.f64 y z) z)))))))
(/.f64 (fabs.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))))) (fabs.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 z z) y (neg.f64 x))))))
(/.f64 (fabs.f64 (.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) #s(literal 1 binary64))) (fabs.f64 (fma.f64 (.f64 z z) y (neg.f64 x))))
(/.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)))) (fabs.f64 (-.f64 x (.f64 (.f64 y z) z))))
(/.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)))) (fabs.f64 (fma.f64 (.f64 z z) y (neg.f64 x))))
(/.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (.f64 (.f64 y z) z) (fma.f64 (.f64 z z) y (neg.f64 x)) (*.f64 x x))))
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(/.f64 (-.f64 (pow.f64 z #s(literal -6 binary64)) (pow.f64 (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)) (fma.f64 (/.f64 (pow.f64 z #s(literal -4 binary64)) y) x (pow.f64 z #s(literal -2 binary64))) (pow.f64 z #s(literal -4 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 (.f64 z z) x)) (.f64 (pow.f64 z #s(literal 6 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal -4 binary64)) y) x (pow.f64 z #s(literal -2 binary64))) (-.f64 (pow.f64 z #s(literal -4 binary64)) (pow.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)) (fma.f64 (/.f64 (pow.f64 z #s(literal -4 binary64)) y) x (pow.f64 z #s(literal -2 binary64))) (pow.f64 z #s(literal -4 binary64))) (-.f64 (pow.f64 z #s(literal -6 binary64)) (pow.f64 (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) y) (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 (.f64 z z) x))))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)) (*.f64 (neg.f64 x) (/.f64 (pow.f64 z #s(literal -4 binary64)) y)))
(fma.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 x) (/.f64 (pow.f64 z #s(literal -4 binary64)) y)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 (neg.f64 z) z) #s(literal -1 binary64)) (.f64 (neg.f64 x) (/.f64 (pow.f64 z #s(literal -4 binary64)) y)))
(fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y)) (pow.f64 z #s(literal -2 binary64)))
(fma.f64 (neg.f64 x) (/.f64 (pow.f64 z #s(literal -4 binary64)) y) (pow.f64 z #s(literal -2 binary64)))
(fma.f64 x (neg.f64 (/.f64 (pow.f64 z #s(literal -4 binary64)) y)) (pow.f64 z #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64)) (*.f64 (neg.f64 x) (/.f64 (pow.f64 z #s(literal -4 binary64)) y)))
(-.f64 (/.f64 (pow.f64 z #s(literal -4 binary64)) (fma.f64 (/.f64 (pow.f64 z #s(literal -4 binary64)) y) x (pow.f64 z #s(literal -2 binary64)))) (/.f64 (pow.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y)) #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 z #s(literal -4 binary64)) y) x (pow.f64 z #s(literal -2 binary64)))))
(-.f64 (/.f64 (pow.f64 z #s(literal -6 binary64)) (fma.f64 (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)) (fma.f64 (/.f64 (pow.f64 z #s(literal -4 binary64)) y) x (pow.f64 z #s(literal -2 binary64))) (pow.f64 z #s(literal -4 binary64)))) (/.f64 (pow.f64 (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)) #s(literal 3 binary64)) (fma.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y)) (fma.f64 (/.f64 (pow.f64 z #s(literal -4 binary64)) y) x (pow.f64 z #s(literal -2 binary64))) (pow.f64 z #s(literal -4 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 (pow.f64 z #s(literal 6 binary64)) y)) (/.f64 (.f64 (.f64 z z) x) (*.f64 (pow.f64 z #s(literal 6 binary64)) y)))
(-.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y)))
(+.f64 (*.f64 (neg.f64 x) (/.f64 (pow.f64 z #s(literal -4 binary64)) y)) (pow.f64 z #s(literal -2 binary64)))
(+.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 (neg.f64 x) (/.f64 (pow.f64 z #s(literal -4 binary64)) y)))
(.f64 (.f64 x (pow.f64 z #s(literal -4 binary64))) (pow.f64 y #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (pow.f64 z #s(literal -4 binary64))))
(*.f64 (/.f64 (pow.f64 z #s(literal -4 binary64)) y) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal -4 binary64)) y) x)
(*.f64 (pow.f64 z #s(literal -4 binary64)) (pow.f64 (/.f64 y x) #s(literal -1 binary64)))
(.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 (.f64 (*.f64 y z) z) x) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (/.f64 (pow.f64 z #s(literal -4 binary64)) y)))
(.f64 (neg.f64 x) (pow.f64 (.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 x (/.f64 (pow.f64 z #s(literal -4 binary64)) y))
(.f64 #s(literal 1 binary64) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))
(pow.f64 (/.f64 y (*.f64 x (pow.f64 z #s(literal -4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) x) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (.f64 x (pow.f64 z #s(literal -4 binary64)))))) (.f64 (.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64))) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64)))) (.f64 (.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (neg.f64 x)))) (pow.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 (.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64))) (.f64 x (pow.f64 z #s(literal -4 binary64))))) (.f64 (.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64))) (neg.f64 y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) x)) (.f64 (.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))) (.f64 (.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64))))) (.f64 (.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64))) (neg.f64 x))) (.f64 (.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (*.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (pow.f64 z #s(literal 4 binary64)) y)) (.f64 (.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64))) (neg.f64 x))) (.f64 (.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64)))) (.f64 (.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64))) x)) (pow.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) x))) (.f64 (.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))) (.f64 (.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64))))
(/.f64 (/.f64 x (.f64 z z)) (.f64 (*.f64 y z) z))
(/.f64 (/.f64 x y) (pow.f64 z #s(literal 4 binary64)))
(/.f64 (neg.f64 (*.f64 x (pow.f64 z #s(literal -4 binary64)))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (.f64 x #s(literal 1 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal -4 binary64))) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) x)))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64))))
(/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (pow.f64 z #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) x))
(neg.f64 (*.f64 (neg.f64 x) (/.f64 (pow.f64 z #s(literal -4 binary64)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) (pow.f64 z #s(literal 4 binary64)))) (.f64 (neg.f64 x) (/.f64 (pow.f64 z #s(literal -4 binary64)) y)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) x)) #s(literal -1 binary64)))

eval160.0ms (3.1%)

Memory: 3.6MiB live, 168.4MiB allocated
Compiler: Compiled 27 331 to 3 208 computations (88.3% saved)

prune40.0ms (0.8%)

Memory

6.3MiB live, 43.6MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	860	3	863
Fresh	1	1	2
Picked	2	3	5
Done	0	3	3
Total	863	10	873

Accuracy

100.0%

Counts

873 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	33.1%	(fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) #s(literal 1 binary64)) (/.f64 y (fma.f64 (.f64 z y) z (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 z y) z (neg.f64 x)))))
✓	99.9%	(fma.f64 (*.f64 z y) z x)
✓	32.4%	(/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (*.f64 z y) z) x))
✓	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) z x)))
▶	14.8%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (.f64 (.f64 y z) z) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))) (.f64 (.f64 (.f64 y z) z) y))))
▶	44.4%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 #s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) y)))
✓	99.9%	(+.f64 x (.f64 (.f64 y z) z))
▶	25.6%	(.f64 (sqrt.f64 (fma.f64 (.f64 z y) z x)) #s(approx (sqrt (+ (* (* z y) z) x)) (*.f64 (sqrt.f64 y) z)))
✓	44.3%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
✓	49.1%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))

Compiler

Compiled 192 to 125 computations (34.9% saved)

simplify144.0ms (2.8%)

Memory

-19.7MiB live, 56.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
cost-diff	0	(fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) #s(literal 1 binary64)) (/.f64 y (fma.f64 (.f64 z y) z (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 z y) z (neg.f64 x)))))
cost-diff	1	(neg.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 z y) z (neg.f64 x))))
cost-diff	2	(/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (.f64 (.f64 y z) z) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))) (.f64 (.f64 (.f64 y z) z) y))))
cost-diff	2	(*.f64 #s(literal 1 binary64) y)
cost-diff	4	(.f64 (.f64 (.f64 y z) z) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))
cost-diff	4	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (.f64 (.f64 y z) z) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))) (.f64 (.f64 (.f64 y z) z) y))
cost-diff	0	#s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z))
cost-diff	0	(/.f64 #s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) y)
cost-diff	0	#s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 #s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) y))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 #s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) y)))
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 (*.f64 z y) z x)
cost-diff	0	(sqrt.f64 (fma.f64 (*.f64 z y) z x))
cost-diff	0	(.f64 (sqrt.f64 (fma.f64 (.f64 z y) z x)) #s(approx (sqrt (+ (* (* z y) z) x)) (*.f64 (sqrt.f64 y) z)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	429
0	82	415
1	150	415
2	386	381
3	2632	381
4	5548	381
0	8173	381

Stop Event

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

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (fma.f64 (.f64 z y) z x)) #s(approx (sqrt (+ (* (* z y) z) x)) (*.f64 (sqrt.f64 y) z)))
(sqrt.f64 (fma.f64 (*.f64 z y) z x))
(fma.f64 (*.f64 z y) z x)
(*.f64 z y)
z
y
x
#s(approx (sqrt (+ (* (* z y) z) x)) (*.f64 (sqrt.f64 y) z))
(*.f64 (sqrt.f64 y) z)
(sqrt.f64 y)
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 #s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) y)))
#s(literal 1 binary64)
#s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 #s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) y))
(/.f64 #s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) y)
#s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z))
(/.f64 (/.f64 #s(literal 1 binary64) z) z)
(/.f64 #s(literal 1 binary64) z)
z
y
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (.f64 (.f64 y z) z) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))) (.f64 (.f64 (.f64 y z) z) y))))
#s(literal 1 binary64)
#s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (.f64 (.f64 y z) z) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))) (.f64 (.f64 (.f64 y z) z) y)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (.f64 (.f64 y z) z) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))) (.f64 (.f64 (.f64 y z) z) y))
(-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (.f64 (.f64 y z) z) (/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y))))
(*.f64 #s(literal 1 binary64) y)
y
(.f64 (.f64 (.f64 y z) z) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))
(.f64 (.f64 y z) z)
(*.f64 y z)
z
(/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y))
x
(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
(pow.f64 z #s(literal 4 binary64))
#s(literal 4 binary64)
(.f64 (.f64 (*.f64 y z) z) y)
(fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) #s(literal 1 binary64)) (/.f64 y (fma.f64 (.f64 z y) z (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 z y) z (neg.f64 x)))))
(/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
(pow.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
y
#s(literal 1 binary64)
(/.f64 y (fma.f64 (*.f64 z y) z (neg.f64 x)))
(fma.f64 (*.f64 z y) z (neg.f64 x))
(*.f64 z y)
(neg.f64 x)
x
(neg.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 z y) z (neg.f64 x))))
(/.f64 (.f64 x x) (fma.f64 (.f64 z y) z (neg.f64 x)))
(*.f64 x x)

Outputs
(.f64 (sqrt.f64 (fma.f64 (.f64 z y) z x)) #s(approx (sqrt (+ (* (* z y) z) x)) (*.f64 (sqrt.f64 y) z)))
(.f64 #s(approx (sqrt (+ ( (* z y) z) x)) (.f64 (sqrt.f64 y) z)) (sqrt.f64 (fma.f64 (.f64 y z) z x)))
(sqrt.f64 (fma.f64 (*.f64 z y) z x))
(sqrt.f64 (fma.f64 (*.f64 y z) z x))
(fma.f64 (*.f64 z y) z x)
(fma.f64 (*.f64 y z) z x)
(*.f64 z y)
(*.f64 y z)
z
y
x
#s(approx (sqrt (+ (* (* z y) z) x)) (*.f64 (sqrt.f64 y) z))
(*.f64 (sqrt.f64 y) z)
(sqrt.f64 y)
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 #s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 #s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 #s(literal 1 binary64) (*.f64 z z))) y)))
#s(literal 1 binary64)
#s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 #s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) y))
#s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 #s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 #s(literal 1 binary64) (*.f64 z z))) y))
(/.f64 #s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) y)
(/.f64 #s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 #s(literal 1 binary64) (*.f64 z z))) y)
#s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z))
#s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) z) z)
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/.f64 #s(literal 1 binary64) z)
z
y
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (.f64 (.f64 y z) z) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))) (.f64 (.f64 (.f64 y z) z) y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) y)))
#s(literal 1 binary64)
#s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (.f64 (.f64 y z) z) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))) (.f64 (.f64 (.f64 y z) z) y)))
#s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) y))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (.f64 (.f64 y z) z) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))) (.f64 (.f64 (.f64 y z) z) y))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) y)
(-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (.f64 (.f64 y z) z) (/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y))))
(fma.f64 (*.f64 (neg.f64 z) z) (/.f64 x (pow.f64 z #s(literal 4 binary64))) y)
(*.f64 #s(literal 1 binary64) y)
y
y
(.f64 (.f64 (.f64 y z) z) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))
(.f64 (.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64))) z) z)
(.f64 (.f64 y z) z)
(.f64 (.f64 z z) y)
(*.f64 y z)
z
(/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y))
x
(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
(pow.f64 z #s(literal 4 binary64))
#s(literal 4 binary64)
(.f64 (.f64 (*.f64 y z) z) y)
(.f64 (.f64 (*.f64 z z) y) y)
(fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) #s(literal 1 binary64)) (/.f64 y (fma.f64 (.f64 z y) z (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 z y) z (neg.f64 x)))))
(fma.f64 (.f64 (/.f64 y (fma.f64 (.f64 z z) y (neg.f64 x))) y) (pow.f64 z #s(literal 4 binary64)) (.f64 (/.f64 x (-.f64 x (.f64 (*.f64 z z) y))) x))
(/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
(pow.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
y
#s(literal 1 binary64)
(/.f64 y (fma.f64 (*.f64 z y) z (neg.f64 x)))
(/.f64 y (fma.f64 (*.f64 z z) y (neg.f64 x)))
(fma.f64 (*.f64 z y) z (neg.f64 x))
(fma.f64 (*.f64 z z) y (neg.f64 x))
(*.f64 z y)
(*.f64 y z)
(neg.f64 x)
x
(neg.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 z y) z (neg.f64 x))))
(.f64 (/.f64 x (-.f64 x (.f64 (*.f64 z z) y))) x)
(/.f64 (.f64 x x) (fma.f64 (.f64 z y) z (neg.f64 x)))
(.f64 (/.f64 x (fma.f64 (.f64 z z) y (neg.f64 x))) x)
(*.f64 x x)

localize188.0ms (3.7%)

Memory

-2.5MiB live, 81.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	1.889676181148218	(/.f64 y (fma.f64 (*.f64 z y) z (neg.f64 x)))
accuracy	1.9569509054694256	(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
accuracy	7.105844583143607	(/.f64 (.f64 x x) (fma.f64 (.f64 z y) z (neg.f64 x)))
accuracy	9.744986320419988	(fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) #s(literal 1 binary64)) (/.f64 y (fma.f64 (.f64 z y) z (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 z y) z (neg.f64 x)))))
accuracy	1.9569509054694256	(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
accuracy	3.2512409832899936	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (.f64 (.f64 y z) z) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))) (.f64 (.f64 (.f64 y z) z) y))
accuracy	7.656251431127538	#s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (.f64 (.f64 y z) z) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))) (.f64 (.f64 (.f64 y z) z) y)))
accuracy	13.339987499028947	(.f64 (.f64 (.f64 y z) z) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))
accuracy	0.05859375	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 #s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) y)))
accuracy	2.084765245609024	(/.f64 #s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) y)
accuracy	7.455086826183372	#s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z))
accuracy	7.656251431127538	#s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 #s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) y))
accuracy	0.0625	(*.f64 (sqrt.f64 y) z)
accuracy	0.12109375	(.f64 (sqrt.f64 (fma.f64 (.f64 z y) z x)) #s(approx (sqrt (+ (* (* z y) z) x)) (*.f64 (sqrt.f64 y) z)))
accuracy	5.3949601613653115	(sqrt.f64 (fma.f64 (*.f64 z y) z x))
accuracy	7.339737571173417	#s(approx (sqrt (+ (* (* z y) z) x)) (*.f64 (sqrt.f64 y) z))

Samples

70.0ms	161×	0	invalid
25.0ms	95×	0	valid

Compiler

Compiled 329 to 42 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-div: 38.0ms (52.5% of total)

ival-mult: 17.0ms (23.5% of total)

ival-pow: 6.0ms (8.3% of total)

ival-add: 3.0ms (4.1% of total)

ival-sqrt: 3.0ms (4.1% of total)

ival-sub: 2.0ms (2.8% of total)

ival-neg: 2.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series59.0ms (1.2%)

Memory

18.2MiB live, 54.3MiB allocated

Counts

21 → 158

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (fma.f64 (.f64 z y) z x)) #s(approx (sqrt (+ (* (* z y) z) x)) (*.f64 (sqrt.f64 y) z)))
(sqrt.f64 (fma.f64 (*.f64 z y) z x))
(fma.f64 (*.f64 z y) z x)
(*.f64 z y)
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 #s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) y)))
#s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 #s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) y))
(/.f64 #s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) y)
#s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (.f64 (.f64 y z) z) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))) (.f64 (.f64 (.f64 y z) z) y))
(.f64 (.f64 (.f64 y z) z) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))
(*.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (.f64 (.f64 y z) z) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))) (.f64 (.f64 (.f64 y z) z) y))))
(/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) #s(literal 1 binary64))
(neg.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 z y) z (neg.f64 x))))
(fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) #s(literal 1 binary64)) (/.f64 y (fma.f64 (.f64 z y) z (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 z y) z (neg.f64 x)))))
(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
#s(approx (sqrt (+ (* (* z y) z) x)) (*.f64 (sqrt.f64 y) z))
(*.f64 (sqrt.f64 y) z)
#s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (.f64 (.f64 y z) z) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))) (.f64 (.f64 (.f64 y z) z) y)))
(/.f64 (.f64 x x) (fma.f64 (.f64 z y) z (neg.f64 x)))
(/.f64 y (fma.f64 (*.f64 z y) z (neg.f64 x)))

Outputs
(* y (pow z 2))
(+ x (* y (pow z 2)))
(* (sqrt y) z)
(+ (* 1/2 (* (/ x z) (sqrt (/ 1 y)))) (* (sqrt y) z))
(+ (* x (+ (* -1/8 (* (/ x (pow z 3)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 z))))) (* (sqrt y) z))
(+ (* x (+ (* 1/2 (* (sqrt (/ 1 y)) (/ 1 z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow z 3)))) (* 1/16 (* (/ x (pow z 5)) (sqrt (/ 1 (pow y 5))))))))) (* (sqrt y) z))
(/ 1 (* y (pow z 2)))
(+ (* -1 (/ x (* (pow y 2) (pow z 4)))) (/ 1 (* y (pow z 2))))
(+ (* x (- (/ x (* (pow y 3) (pow z 6))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(+ (* x (- (* x (+ (* -1 (/ x (* (pow y 4) (pow z 8)))) (/ 1 (* (pow y 3) (pow z 6))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(/ 1 (pow z 2))
(+ (* -1 (/ x (* y (pow z 4)))) (/ 1 (pow z 2)))
(/ x (pow z 2))
(* -1 (/ (pow x 2) (* y (pow z 2))))
(* (pow x 2) (- (* -1 (/ x (* (pow y 2) (pow z 4)))) (/ 1 (* y (pow z 2)))))
(* (pow x 2) (- (* x (- (* -1 (/ x (* (pow y 3) (pow z 6)))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2)))))
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 8)))) (/ 1 (* (pow y 3) (pow z 6))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2)))))
(/ (pow x 2) (* y (pow z 2)))
(* (pow x 2) (+ (/ 1 (* y (pow z 2))) (/ x (* (pow y 2) (pow z 4)))))
(* (pow x 2) (+ (* x (+ (/ 1 (* (pow y 2) (pow z 4))) (/ x (* (pow y 3) (pow z 6))))) (/ 1 (* y (pow z 2)))))
(* (pow x 2) (+ (* x (+ (* x (+ (/ 1 (* (pow y 3) (pow z 6))) (/ x (* (pow y 4) (pow z 8))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2)))))
(+ (/ 1 (pow z 2)) (/ x (* y (pow z 4))))
(+ (* x (+ (/ 1 (* y (pow z 4))) (/ x (* (pow y 2) (pow z 6))))) (/ 1 (pow z 2)))
(+ (* x (+ (* x (+ (/ 1 (* (pow y 2) (pow z 6))) (/ x (* (pow y 3) (pow z 8))))) (/ 1 (* y (pow z 4))))) (/ 1 (pow z 2)))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow z 4)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow z 4)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (pow z 6)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2))))))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (* y (pow z 2)) x))) x)
(/ (- (+ 1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x)) x)
(/ (- (+ 1 (* -1 (/ (* (pow y 3) (pow z 6)) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x))) x)
(* -1 (/ x (* (pow y 2) (pow z 4))))
(* x (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* (pow y 2) (pow z 4)))))
(* -1 (/ x (* y (pow z 4))))
(* x (- (/ 1 (* x (pow z 2))) (/ 1 (* y (pow z 4)))))
(* x (+ 1 (+ (/ (* y (pow z 2)) x) (/ (* (pow y 2) (pow z 4)) (pow x 2)))))
(* x (+ 1 (+ (/ (* y (pow z 2)) x) (+ (/ (* (pow y 2) (pow z 4)) (pow x 2)) (/ (* (pow y 3) (pow z 6)) (pow x 3))))))
(* x (+ 1 (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (+ (/ (* y (pow z 2)) x) (/ (* (pow y 2) (pow z 4)) (pow x 2))))))
(* -1 x)
(* x (- (* -1 (/ (* y (pow z 2)) x)) 1))
(* x (- (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (+ 1 (/ (* y (pow z 2)) x))))
(* x (- (* -1 (/ (* (pow y 3) (pow z 6)) (pow x 3))) (+ 1 (+ (/ (* y (pow z 2)) x) (/ (* (pow y 2) (pow z 4)) (pow x 2))))))
(* -1 (/ y x))
(/ (+ (* -1 y) (* -1 (/ (* (pow y 2) (pow z 2)) x))) x)
(/ (- (+ (* -1 y) (* -1 (/ (* (pow y 3) (pow z 4)) (pow x 2)))) (/ (* (pow y 2) (pow z 2)) x)) x)
(/ (- (+ (* -1 y) (* -1 (/ (* (pow y 4) (pow z 6)) (pow x 3)))) (+ (/ (* (pow y 2) (pow z 2)) x) (/ (* (pow y 3) (pow z 4)) (pow x 2)))) x)
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow y 2) (pow z 4)) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow y 2) (pow z 4)) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (pow y 3) (pow z 6)) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (/ (- (/ (* y (pow z 2)) x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 4)) x) (* y (pow z 2))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 6)) x) (* (pow y 2) (pow z 4))) x)) (* y (pow z 2))) x)) 1) x))
(* -1 (* x (- (/ 1 (* (pow y 2) (pow z 4))) (/ 1 (* x (* y (pow z 2)))))))
(* -1 (* x (- (/ 1 (* y (pow z 4))) (/ 1 (* x (pow z 2))))))
(* -1 (* x (- (* -1 (/ (+ (* y (pow z 2)) (/ (* (pow y 2) (pow z 4)) x)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 4))) (* -1 (/ (* (pow y 3) (pow z 6)) x))) x)) (* y (pow z 2))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 4))) (* (pow y 2) (pow z 4))) x)) (* y (pow z 2))) x)) 1)))
(* -1 (* x (+ 1 (/ (* y (pow z 2)) x))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow z 4)) x)) (* y (pow z 2))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 6)) x) (* -1 (* (pow y 2) (pow z 4)))) x)) (* y (pow z 2))) x)))))
(* -1 (/ (+ y (/ (* (pow y 2) (pow z 2)) x)) x))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow z 4)) x)) (* (pow y 2) (pow z 2))) x))) x))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 4) (pow z 6)) x) (* -1 (* (pow y 3) (pow z 4)))) x)) (* (pow y 2) (pow z 2))) x))) x))
(+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) (* y (pow z 2)))))
(+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 4)))) (* 1/2 (* (sqrt (/ 1 x)) (pow z 2))))))
(+ (sqrt x) (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (pow z 2))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow z 4))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (* y (pow z 6)))))))))
(* y z)
(+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ 1 x))
(+ (* y (- (/ (* y (pow z 4)) (pow x 3)) (/ (pow z 2) (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (* -1 (/ (* y (pow z 6)) (pow x 4))) (* -1 (/ (pow z 4) (pow x 3))))) (/ (pow z 2) (pow x 2)))) (/ 1 x))
(/ (+ (* -1 (/ x (pow z 4))) (/ y (pow z 2))) (pow y 2))
(/ (- (/ y (pow z 2)) (/ x (pow z 4))) y)
y
(* y (pow z 4))
(- (* y (pow z 2)) (* -1 x))
(- (* y (+ (/ (* y (pow z 4)) x) (pow z 2))) (* -1 x))
(- (* y (+ (* y (+ (/ (* y (pow z 6)) (pow x 2)) (/ (pow z 4) x))) (pow z 2))) (* -1 x))
(- (* y (+ (* y (+ (* -1 (/ (pow z 4) x)) (/ (pow z 4) x))) (pow z 2))) (* -1 x))
(+ (* -1 x) (* -1 (* y (pow z 2))))
(+ (* -1 x) (* y (- (* -1 (/ (* y (pow z 4)) x)) (pow z 2))))
(+ (* -1 x) (* y (- (* y (- (* -1 (/ (* y (pow z 6)) (pow x 2))) (/ (pow z 4) x))) (pow z 2))))
(* y (- (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ 1 x)))
(* y (- (* y (- (* -1 (/ (* y (pow z 4)) (pow x 3))) (/ (pow z 2) (pow x 2)))) (/ 1 x)))
(* y (- (* y (- (* y (- (* -1 (/ (* y (pow z 6)) (pow x 4))) (/ (pow z 4) (pow x 3)))) (/ (pow z 2) (pow x 2)))) (/ 1 x)))
(* y (+ (/ x y) (pow z 2)))
(* y (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) z)))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow z 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) z))))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow z 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow z 5)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) z)))))
(/ (+ (* -1 (/ x (* y (pow z 4)))) (/ 1 (pow z 2))) y)
(/ (- (+ (/ 1 (pow z 2)) (/ (pow x 2) (* (pow y 2) (pow z 6)))) (/ x (* y (pow z 4)))) y)
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 3) (pow z 8)))) (/ 1 (pow z 2))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 6)))) (/ x (* y (pow z 4))))) y)
(/ (- (* -1 (/ (pow x 3) (* y (pow z 4)))) (/ (pow x 2) (pow z 2))) y)
(/ (- (+ (* -1 (/ (pow x 3) (* y (pow z 4)))) (* -1 (/ (pow x 4) (* (pow y 2) (pow z 6))))) (/ (pow x 2) (pow z 2))) y)
(/ (- (+ (* -1 (/ (pow x 3) (* y (pow z 4)))) (+ (* -1 (/ (pow x 4) (* (pow y 2) (pow z 6)))) (* -1 (/ (pow x 5) (* (pow y 3) (pow z 8)))))) (/ (pow x 2) (pow z 2))) y)
(* y (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2))) (pow y 2))) (pow z 2)) (* -1 (/ x y))))
(/ (+ (/ (pow x 2) (pow z 2)) (/ (pow x 3) (* y (pow z 4)))) y)
(/ (- (+ (/ (pow x 2) (pow z 2)) (/ (pow x 4) (* (pow y 2) (pow z 6)))) (* -1 (/ (pow x 3) (* y (pow z 4))))) y)
(/ (- (+ (/ (pow x 2) (pow z 2)) (/ (pow x 5) (* (pow y 3) (pow z 8)))) (+ (* -1 (/ (pow x 3) (* y (pow z 4)))) (* -1 (/ (pow x 4) (* (pow y 2) (pow z 6)))))) y)
(- (+ (/ 1 (pow z 2)) (/ (pow x 2) (* (pow y 2) (pow z 6)))) (* -1 (/ x (* y (pow z 4)))))
(- (+ (/ 1 (pow z 2)) (/ (pow x 3) (* (pow y 3) (pow z 8)))) (+ (* -1 (/ x (* y (pow z 4)))) (* -1 (/ (pow x 2) (* (pow y 2) (pow z 6))))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* (sqrt y) (* z (pow (sqrt -1) 2))))
(* -1 (* y (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (* (pow z 3) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2)))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (* (pow z 3) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (* (pow z 5) (pow (sqrt -1) 4))) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2))))))))
(* -1 (/ (- (/ x (* y (pow z 4))) (/ 1 (pow z 2))) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) (* y (pow z 6))) (/ x (pow z 4))) y)) (/ 1 (pow z 2))) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 8))) (/ (pow x 2) (pow z 6))) y)) (/ x (pow z 4))) y)) (/ 1 (pow z 2))) y))
(* -1 (/ (- (/ (pow x 3) (* y (pow z 4))) (* -1 (/ (pow x 2) (pow z 2)))) y))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow x 3) (pow z 4))) (* -1 (/ (pow x 4) (* y (pow z 6))))) y)) (* -1 (/ (pow x 2) (pow z 2)))) y))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (/ (pow x 4) (pow z 6)) (/ (pow x 5) (* y (pow z 8)))) y)) (* -1 (/ (pow x 3) (pow z 4)))) y)) (* -1 (/ (pow x 2) (pow z 2)))) y))
(* -1 (* y (+ (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* y (pow z 2)))) (/ (pow x 2) (* y (pow z 2)))) (* -1 x)) y)) (* -1 (pow z 2)))))
(* -1 (/ (+ (* -1 (/ (pow x 2) (pow z 2))) (* -1 (/ (pow x 3) (* y (pow z 4))))) y))
(* -1 (/ (+ (* -1 (/ (- (/ (pow x 4) (* y (pow z 6))) (* -1 (/ (pow x 3) (pow z 4)))) y)) (* -1 (/ (pow x 2) (pow z 2)))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 5) (* y (pow z 8)))) (/ (pow x 4) (pow z 6))) y)) (* -1 (/ (pow x 3) (pow z 4)))) y)) (* -1 (/ (pow x 2) (pow z 2)))) y))
(+ (* -1 (/ (- (* -1 (/ (pow x 2) (* y (pow z 6)))) (/ x (pow z 4))) y)) (/ 1 (pow z 2)))
(+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 8))) (* -1 (/ (pow x 2) (pow z 6)))) y)) (/ x (pow z 4))) y)) (/ 1 (pow z 2)))
(+ (sqrt x) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (* (pow y 2) (pow z 2)))) (* 1/2 (* (sqrt (/ 1 x)) y)))))
(+ (sqrt x) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 x)) y)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow y 2))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (* (pow y 3) (pow z 2)))))))))
(+ (* (pow z 2) (- (/ (* (pow y 2) (pow z 2)) (pow x 3)) (/ y (pow x 2)))) (/ 1 x))
(+ (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 4))) (* -1 (/ (pow y 2) (pow x 3))))) (/ y (pow x 2)))) (/ 1 x))
(/ (+ (* -1 (/ x (pow y 2))) (/ (pow z 2) y)) (pow z 4))
(/ (- (pow z 2) (/ x y)) (pow z 4))
(- (* (pow z 2) (+ y (/ (* (pow y 2) (pow z 2)) x))) (* -1 x))
(- (* (pow z 2) (+ y (* (pow z 2) (+ (/ (* (pow y 3) (pow z 2)) (pow x 2)) (/ (pow y 2) x))))) (* -1 x))
(- (* (pow z 2) (+ y (* (pow z 2) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))))) (* -1 x))
(+ (* -1 x) (* (pow z 2) (- (* -1 (/ (* (pow y 2) (pow z 2)) x)) y)))
(+ (* -1 x) (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 2))) (/ (pow y 2) x))) y)))
(+ (* -1 (/ y x)) (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))))
(+ (* -1 (/ y x)) (* (pow z 2) (- (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 3))) (/ (pow y 2) (pow x 2)))))
(+ (* -1 (/ y x)) (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (* (pow y 4) (pow z 2)) (pow x 4))) (/ (pow y 3) (pow x 3)))) (/ (pow y 2) (pow x 2)))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* z (+ (sqrt y) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))
(* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))
(* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (+ (* 1/16 (* (/ (pow x 3) (pow z 6)) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))))
(/ (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 y)) (pow z 2))
(/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2)))) (pow z 2))
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) (pow z 6)))) (/ 1 y)) (+ (* -1 (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2))))) (pow z 2))
(/ (+ 1 (* -1 (/ x (* y (pow z 2))))) (pow z 2))
(/ (- (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2)))) (/ (pow x 2) y)) (pow z 2))
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2)))) (* -1 (/ (pow x 4) (* (pow y 3) (pow z 4))))) (/ (pow x 2) y)) (pow z 2))
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2)))) (+ (* -1 (/ (pow x 4) (* (pow y 3) (pow z 4)))) (* -1 (/ (pow x 5) (* (pow y 4) (pow z 6)))))) (/ (pow x 2) y)) (pow z 2))
(* (pow z 2) (- (+ y (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (pow z 4)))) (* -1 (/ x (pow z 2)))))
(/ (+ (/ (pow x 2) y) (/ (pow x 3) (* (pow y 2) (pow z 2)))) (pow z 2))
(/ (- (+ (/ (pow x 2) y) (/ (pow x 4) (* (pow y 3) (pow z 4)))) (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2))))) (pow z 2))
(/ (- (+ (/ (pow x 2) y) (/ (pow x 5) (* (pow y 4) (pow z 6)))) (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2)))) (* -1 (/ (pow x 4) (* (pow y 3) (pow z 4)))))) (pow z 2))
(/ (+ 1 (/ x (* y (pow z 2)))) (pow z 2))
(/ (- (+ 1 (/ (pow x 2) (* (pow y 2) (pow z 4)))) (* -1 (/ x (* y (pow z 2))))) (pow z 2))
(/ (- (+ 1 (/ (pow x 3) (* (pow y 3) (pow z 6)))) (+ (* -1 (/ x (* y (pow z 2)))) (* -1 (/ (pow x 2) (* (pow y 2) (pow z 4)))))) (pow z 2))
(* -1 (* (sqrt y) z))
(* -1 (* z (+ (sqrt y) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))
(* -1 (* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))))
(* -1 (* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (+ (* 1/16 (* (/ (pow x 3) (pow z 6)) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))))

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	z	@	0	((* (sqrt (+ (* (* z y) z) x)) (sqrt (+ (* (* z y) z) x))) (sqrt (+ (* (* z y) z) x)) (+ (* (* z y) z) x) (* z y) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (/ (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) y) (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/ (- (* 1 y) (* (* (* y z) z) (/ x (* (pow z 4) y)))) (* (* (* y z) z) y)) (* (* (* y z) z) (/ x (* (pow z 4) y))) (* 1 y) (/ 1 (pow (+ (* (* z y) z) x) -1)) (/ (* (pow z 4) y) 1) (neg (/ (* x x) (+ (* (* z y) z) (neg x)))) (+ (* (/ (* (pow z 4) y) 1) (/ y (+ (* (* z y) z) (neg x)))) (neg (/ (* x x) (+ (* (* z y) z) (neg x))))) (* (pow z 4) y) (sqrt (+ (* (* z y) z) x)) (* (sqrt y) z) (pow (+ (* (* z y) z) x) -1) (/ (* x x) (+ (* (* z y) z) (neg x))) (/ y (+ (* (* z y) z) (neg x))))
11.0ms	y	@	-inf	((* (sqrt (+ (* (* z y) z) x)) (sqrt (+ (* (* z y) z) x))) (sqrt (+ (* (* z y) z) x)) (+ (* (* z y) z) x) (* z y) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (/ (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) y) (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/ (- (* 1 y) (* (* (* y z) z) (/ x (* (pow z 4) y)))) (* (* (* y z) z) y)) (* (* (* y z) z) (/ x (* (pow z 4) y))) (* 1 y) (/ 1 (pow (+ (* (* z y) z) x) -1)) (/ (* (pow z 4) y) 1) (neg (/ (* x x) (+ (* (* z y) z) (neg x)))) (+ (* (/ (* (pow z 4) y) 1) (/ y (+ (* (* z y) z) (neg x)))) (neg (/ (* x x) (+ (* (* z y) z) (neg x))))) (* (pow z 4) y) (sqrt (+ (* (* z y) z) x)) (* (sqrt y) z) (pow (+ (* (* z y) z) x) -1) (/ (* x x) (+ (* (* z y) z) (neg x))) (/ y (+ (* (* z y) z) (neg x))))
6.0ms	z	@	inf	((* (sqrt (+ (* (* z y) z) x)) (sqrt (+ (* (* z y) z) x))) (sqrt (+ (* (* z y) z) x)) (+ (* (* z y) z) x) (* z y) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (/ (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) y) (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/ (- (* 1 y) (* (* (* y z) z) (/ x (* (pow z 4) y)))) (* (* (* y z) z) y)) (* (* (* y z) z) (/ x (* (pow z 4) y))) (* 1 y) (/ 1 (pow (+ (* (* z y) z) x) -1)) (/ (* (pow z 4) y) 1) (neg (/ (* x x) (+ (* (* z y) z) (neg x)))) (+ (* (/ (* (pow z 4) y) 1) (/ y (+ (* (* z y) z) (neg x)))) (neg (/ (* x x) (+ (* (* z y) z) (neg x))))) (* (pow z 4) y) (sqrt (+ (* (* z y) z) x)) (* (sqrt y) z) (pow (+ (* (* z y) z) x) -1) (/ (* x x) (+ (* (* z y) z) (neg x))) (/ y (+ (* (* z y) z) (neg x))))
5.0ms	y	@	inf	((* (sqrt (+ (* (* z y) z) x)) (sqrt (+ (* (* z y) z) x))) (sqrt (+ (* (* z y) z) x)) (+ (* (* z y) z) x) (* z y) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (/ (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) y) (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/ (- (* 1 y) (* (* (* y z) z) (/ x (* (pow z 4) y)))) (* (* (* y z) z) y)) (* (* (* y z) z) (/ x (* (pow z 4) y))) (* 1 y) (/ 1 (pow (+ (* (* z y) z) x) -1)) (/ (* (pow z 4) y) 1) (neg (/ (* x x) (+ (* (* z y) z) (neg x)))) (+ (* (/ (* (pow z 4) y) 1) (/ y (+ (* (* z y) z) (neg x)))) (neg (/ (* x x) (+ (* (* z y) z) (neg x))))) (* (pow z 4) y) (sqrt (+ (* (* z y) z) x)) (* (sqrt y) z) (pow (+ (* (* z y) z) x) -1) (/ (* x x) (+ (* (* z y) z) (neg x))) (/ y (+ (* (* z y) z) (neg x))))
4.0ms	x	@	0	((* (sqrt (+ (* (* z y) z) x)) (sqrt (+ (* (* z y) z) x))) (sqrt (+ (* (* z y) z) x)) (+ (* (* z y) z) x) (* z y) (/ 1 (pow (+ (* (* z y) z) x) -1)) (pow (+ (* (* z y) z) x) -1) (/ (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) y) (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/ (- (* 1 y) (* (* (* y z) z) (/ x (* (pow z 4) y)))) (* (* (* y z) z) y)) (* (* (* y z) z) (/ x (* (pow z 4) y))) (* 1 y) (/ 1 (pow (+ (* (* z y) z) x) -1)) (/ (* (pow z 4) y) 1) (neg (/ (* x x) (+ (* (* z y) z) (neg x)))) (+ (* (/ (* (pow z 4) y) 1) (/ y (+ (* (* z y) z) (neg x)))) (neg (/ (* x x) (+ (* (* z y) z) (neg x))))) (* (pow z 4) y) (sqrt (+ (* (* z y) z) x)) (* (sqrt y) z) (pow (+ (* (* z y) z) x) -1) (/ (* x x) (+ (* (* z y) z) (neg x))) (/ y (+ (* (* z y) z) (neg x))))

simplify173.0ms (3.4%)

Memory

-1.5MiB live, 115.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	768	3965
1	2454	3783
0	8203	3631

Stop Event

1×	iter limit
1×	node limit

Counts

158 → 156

Calls

Call 1

Inputs
(* y (pow z 2))
(+ x (* y (pow z 2)))
(* (sqrt y) z)
(+ (* 1/2 (* (/ x z) (sqrt (/ 1 y)))) (* (sqrt y) z))
(+ (* x (+ (* -1/8 (* (/ x (pow z 3)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 z))))) (* (sqrt y) z))
(+ (* x (+ (* 1/2 (* (sqrt (/ 1 y)) (/ 1 z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow z 3)))) (* 1/16 (* (/ x (pow z 5)) (sqrt (/ 1 (pow y 5))))))))) (* (sqrt y) z))
(/ 1 (* y (pow z 2)))
(+ (* -1 (/ x (* (pow y 2) (pow z 4)))) (/ 1 (* y (pow z 2))))
(+ (* x (- (/ x (* (pow y 3) (pow z 6))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(+ (* x (- (* x (+ (* -1 (/ x (* (pow y 4) (pow z 8)))) (/ 1 (* (pow y 3) (pow z 6))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(/ 1 (pow z 2))
(+ (* -1 (/ x (* y (pow z 4)))) (/ 1 (pow z 2)))
(/ x (pow z 2))
(* -1 (/ (pow x 2) (* y (pow z 2))))
(* (pow x 2) (- (* -1 (/ x (* (pow y 2) (pow z 4)))) (/ 1 (* y (pow z 2)))))
(* (pow x 2) (- (* x (- (* -1 (/ x (* (pow y 3) (pow z 6)))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2)))))
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 8)))) (/ 1 (* (pow y 3) (pow z 6))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2)))))
(/ (pow x 2) (* y (pow z 2)))
(* (pow x 2) (+ (/ 1 (* y (pow z 2))) (/ x (* (pow y 2) (pow z 4)))))
(* (pow x 2) (+ (* x (+ (/ 1 (* (pow y 2) (pow z 4))) (/ x (* (pow y 3) (pow z 6))))) (/ 1 (* y (pow z 2)))))
(* (pow x 2) (+ (* x (+ (* x (+ (/ 1 (* (pow y 3) (pow z 6))) (/ x (* (pow y 4) (pow z 8))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2)))))
(+ (/ 1 (pow z 2)) (/ x (* y (pow z 4))))
(+ (* x (+ (/ 1 (* y (pow z 4))) (/ x (* (pow y 2) (pow z 6))))) (/ 1 (pow z 2)))
(+ (* x (+ (* x (+ (/ 1 (* (pow y 2) (pow z 6))) (/ x (* (pow y 3) (pow z 8))))) (/ 1 (* y (pow z 4))))) (/ 1 (pow z 2)))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow z 4)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow z 4)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (pow z 6)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2))))))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (* y (pow z 2)) x))) x)
(/ (- (+ 1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x)) x)
(/ (- (+ 1 (* -1 (/ (* (pow y 3) (pow z 6)) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x))) x)
(* -1 (/ x (* (pow y 2) (pow z 4))))
(* x (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* (pow y 2) (pow z 4)))))
(* -1 (/ x (* y (pow z 4))))
(* x (- (/ 1 (* x (pow z 2))) (/ 1 (* y (pow z 4)))))
(* x (+ 1 (+ (/ (* y (pow z 2)) x) (/ (* (pow y 2) (pow z 4)) (pow x 2)))))
(* x (+ 1 (+ (/ (* y (pow z 2)) x) (+ (/ (* (pow y 2) (pow z 4)) (pow x 2)) (/ (* (pow y 3) (pow z 6)) (pow x 3))))))
(* x (+ 1 (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (+ (/ (* y (pow z 2)) x) (/ (* (pow y 2) (pow z 4)) (pow x 2))))))
(* -1 x)
(* x (- (* -1 (/ (* y (pow z 2)) x)) 1))
(* x (- (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (+ 1 (/ (* y (pow z 2)) x))))
(* x (- (* -1 (/ (* (pow y 3) (pow z 6)) (pow x 3))) (+ 1 (+ (/ (* y (pow z 2)) x) (/ (* (pow y 2) (pow z 4)) (pow x 2))))))
(* -1 (/ y x))
(/ (+ (* -1 y) (* -1 (/ (* (pow y 2) (pow z 2)) x))) x)
(/ (- (+ (* -1 y) (* -1 (/ (* (pow y 3) (pow z 4)) (pow x 2)))) (/ (* (pow y 2) (pow z 2)) x)) x)
(/ (- (+ (* -1 y) (* -1 (/ (* (pow y 4) (pow z 6)) (pow x 3)))) (+ (/ (* (pow y 2) (pow z 2)) x) (/ (* (pow y 3) (pow z 4)) (pow x 2)))) x)
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow y 2) (pow z 4)) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow y 2) (pow z 4)) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (pow y 3) (pow z 6)) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (/ (- (/ (* y (pow z 2)) x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 4)) x) (* y (pow z 2))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 6)) x) (* (pow y 2) (pow z 4))) x)) (* y (pow z 2))) x)) 1) x))
(* -1 (* x (- (/ 1 (* (pow y 2) (pow z 4))) (/ 1 (* x (* y (pow z 2)))))))
(* -1 (* x (- (/ 1 (* y (pow z 4))) (/ 1 (* x (pow z 2))))))
(* -1 (* x (- (* -1 (/ (+ (* y (pow z 2)) (/ (* (pow y 2) (pow z 4)) x)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 4))) (* -1 (/ (* (pow y 3) (pow z 6)) x))) x)) (* y (pow z 2))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 4))) (* (pow y 2) (pow z 4))) x)) (* y (pow z 2))) x)) 1)))
(* -1 (* x (+ 1 (/ (* y (pow z 2)) x))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow z 4)) x)) (* y (pow z 2))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 6)) x) (* -1 (* (pow y 2) (pow z 4)))) x)) (* y (pow z 2))) x)))))
(* -1 (/ (+ y (/ (* (pow y 2) (pow z 2)) x)) x))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow z 4)) x)) (* (pow y 2) (pow z 2))) x))) x))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 4) (pow z 6)) x) (* -1 (* (pow y 3) (pow z 4)))) x)) (* (pow y 2) (pow z 2))) x))) x))
(+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) (* y (pow z 2)))))
(+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 4)))) (* 1/2 (* (sqrt (/ 1 x)) (pow z 2))))))
(+ (sqrt x) (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (pow z 2))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow z 4))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (* y (pow z 6)))))))))
(* y z)
(+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ 1 x))
(+ (* y (- (/ (* y (pow z 4)) (pow x 3)) (/ (pow z 2) (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (- (* -1 (/ (* y (pow z 6)) (pow x 4))) (* -1 (/ (pow z 4) (pow x 3))))) (/ (pow z 2) (pow x 2)))) (/ 1 x))
(/ (+ (* -1 (/ x (pow z 4))) (/ y (pow z 2))) (pow y 2))
(/ (- (/ y (pow z 2)) (/ x (pow z 4))) y)
y
(* y (pow z 4))
(- (* y (pow z 2)) (* -1 x))
(- (* y (+ (/ (* y (pow z 4)) x) (pow z 2))) (* -1 x))
(- (* y (+ (* y (+ (/ (* y (pow z 6)) (pow x 2)) (/ (pow z 4) x))) (pow z 2))) (* -1 x))
(- (* y (+ (* y (+ (* -1 (/ (pow z 4) x)) (/ (pow z 4) x))) (pow z 2))) (* -1 x))
(+ (* -1 x) (* -1 (* y (pow z 2))))
(+ (* -1 x) (* y (- (* -1 (/ (* y (pow z 4)) x)) (pow z 2))))
(+ (* -1 x) (* y (- (* y (- (* -1 (/ (* y (pow z 6)) (pow x 2))) (/ (pow z 4) x))) (pow z 2))))
(* y (- (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ 1 x)))
(* y (- (* y (- (* -1 (/ (* y (pow z 4)) (pow x 3))) (/ (pow z 2) (pow x 2)))) (/ 1 x)))
(* y (- (* y (- (* y (- (* -1 (/ (* y (pow z 6)) (pow x 4))) (/ (pow z 4) (pow x 3)))) (/ (pow z 2) (pow x 2)))) (/ 1 x)))
(* y (+ (/ x y) (pow z 2)))
(* y (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) z)))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow z 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) z))))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow z 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow z 5)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) z)))))
(/ (+ (* -1 (/ x (* y (pow z 4)))) (/ 1 (pow z 2))) y)
(/ (- (+ (/ 1 (pow z 2)) (/ (pow x 2) (* (pow y 2) (pow z 6)))) (/ x (* y (pow z 4)))) y)
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 3) (pow z 8)))) (/ 1 (pow z 2))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 6)))) (/ x (* y (pow z 4))))) y)
(/ (- (* -1 (/ (pow x 3) (* y (pow z 4)))) (/ (pow x 2) (pow z 2))) y)
(/ (- (+ (* -1 (/ (pow x 3) (* y (pow z 4)))) (* -1 (/ (pow x 4) (* (pow y 2) (pow z 6))))) (/ (pow x 2) (pow z 2))) y)
(/ (- (+ (* -1 (/ (pow x 3) (* y (pow z 4)))) (+ (* -1 (/ (pow x 4) (* (pow y 2) (pow z 6)))) (* -1 (/ (pow x 5) (* (pow y 3) (pow z 8)))))) (/ (pow x 2) (pow z 2))) y)
(* y (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2))) (pow y 2))) (pow z 2)) (* -1 (/ x y))))
(/ (+ (/ (pow x 2) (pow z 2)) (/ (pow x 3) (* y (pow z 4)))) y)
(/ (- (+ (/ (pow x 2) (pow z 2)) (/ (pow x 4) (* (pow y 2) (pow z 6)))) (* -1 (/ (pow x 3) (* y (pow z 4))))) y)
(/ (- (+ (/ (pow x 2) (pow z 2)) (/ (pow x 5) (* (pow y 3) (pow z 8)))) (+ (* -1 (/ (pow x 3) (* y (pow z 4)))) (* -1 (/ (pow x 4) (* (pow y 2) (pow z 6)))))) y)
(- (+ (/ 1 (pow z 2)) (/ (pow x 2) (* (pow y 2) (pow z 6)))) (* -1 (/ x (* y (pow z 4)))))
(- (+ (/ 1 (pow z 2)) (/ (pow x 3) (* (pow y 3) (pow z 8)))) (+ (* -1 (/ x (* y (pow z 4)))) (* -1 (/ (pow x 2) (* (pow y 2) (pow z 6))))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* (sqrt y) (* z (pow (sqrt -1) 2))))
(* -1 (* y (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (* (pow z 3) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2)))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (* (pow z 3) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (* (pow z 5) (pow (sqrt -1) 4))) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2))))))))
(* -1 (/ (- (/ x (* y (pow z 4))) (/ 1 (pow z 2))) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) (* y (pow z 6))) (/ x (pow z 4))) y)) (/ 1 (pow z 2))) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 8))) (/ (pow x 2) (pow z 6))) y)) (/ x (pow z 4))) y)) (/ 1 (pow z 2))) y))
(* -1 (/ (- (/ (pow x 3) (* y (pow z 4))) (* -1 (/ (pow x 2) (pow z 2)))) y))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow x 3) (pow z 4))) (* -1 (/ (pow x 4) (* y (pow z 6))))) y)) (* -1 (/ (pow x 2) (pow z 2)))) y))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (/ (pow x 4) (pow z 6)) (/ (pow x 5) (* y (pow z 8)))) y)) (* -1 (/ (pow x 3) (pow z 4)))) y)) (* -1 (/ (pow x 2) (pow z 2)))) y))
(* -1 (* y (+ (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* y (pow z 2)))) (/ (pow x 2) (* y (pow z 2)))) (* -1 x)) y)) (* -1 (pow z 2)))))
(* -1 (/ (+ (* -1 (/ (pow x 2) (pow z 2))) (* -1 (/ (pow x 3) (* y (pow z 4))))) y))
(* -1 (/ (+ (* -1 (/ (- (/ (pow x 4) (* y (pow z 6))) (* -1 (/ (pow x 3) (pow z 4)))) y)) (* -1 (/ (pow x 2) (pow z 2)))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 5) (* y (pow z 8)))) (/ (pow x 4) (pow z 6))) y)) (* -1 (/ (pow x 3) (pow z 4)))) y)) (* -1 (/ (pow x 2) (pow z 2)))) y))
(+ (* -1 (/ (- (* -1 (/ (pow x 2) (* y (pow z 6)))) (/ x (pow z 4))) y)) (/ 1 (pow z 2)))
(+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 8))) (* -1 (/ (pow x 2) (pow z 6)))) y)) (/ x (pow z 4))) y)) (/ 1 (pow z 2)))
(+ (sqrt x) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (* (pow y 2) (pow z 2)))) (* 1/2 (* (sqrt (/ 1 x)) y)))))
(+ (sqrt x) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 x)) y)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow y 2))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (* (pow y 3) (pow z 2)))))))))
(+ (* (pow z 2) (- (/ (* (pow y 2) (pow z 2)) (pow x 3)) (/ y (pow x 2)))) (/ 1 x))
(+ (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 4))) (* -1 (/ (pow y 2) (pow x 3))))) (/ y (pow x 2)))) (/ 1 x))
(/ (+ (* -1 (/ x (pow y 2))) (/ (pow z 2) y)) (pow z 4))
(/ (- (pow z 2) (/ x y)) (pow z 4))
(- (* (pow z 2) (+ y (/ (* (pow y 2) (pow z 2)) x))) (* -1 x))
(- (* (pow z 2) (+ y (* (pow z 2) (+ (/ (* (pow y 3) (pow z 2)) (pow x 2)) (/ (pow y 2) x))))) (* -1 x))
(- (* (pow z 2) (+ y (* (pow z 2) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))))) (* -1 x))
(+ (* -1 x) (* (pow z 2) (- (* -1 (/ (* (pow y 2) (pow z 2)) x)) y)))
(+ (* -1 x) (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 2))) (/ (pow y 2) x))) y)))
(+ (* -1 (/ y x)) (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))))
(+ (* -1 (/ y x)) (* (pow z 2) (- (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 3))) (/ (pow y 2) (pow x 2)))))
(+ (* -1 (/ y x)) (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (* (pow y 4) (pow z 2)) (pow x 4))) (/ (pow y 3) (pow x 3)))) (/ (pow y 2) (pow x 2)))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* z (+ (sqrt y) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))
(* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))
(* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (+ (* 1/16 (* (/ (pow x 3) (pow z 6)) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))))
(/ (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 y)) (pow z 2))
(/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2)))) (pow z 2))
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) (pow z 6)))) (/ 1 y)) (+ (* -1 (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2))))) (pow z 2))
(/ (+ 1 (* -1 (/ x (* y (pow z 2))))) (pow z 2))
(/ (- (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2)))) (/ (pow x 2) y)) (pow z 2))
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2)))) (* -1 (/ (pow x 4) (* (pow y 3) (pow z 4))))) (/ (pow x 2) y)) (pow z 2))
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2)))) (+ (* -1 (/ (pow x 4) (* (pow y 3) (pow z 4)))) (* -1 (/ (pow x 5) (* (pow y 4) (pow z 6)))))) (/ (pow x 2) y)) (pow z 2))
(* (pow z 2) (- (+ y (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (pow z 4)))) (* -1 (/ x (pow z 2)))))
(/ (+ (/ (pow x 2) y) (/ (pow x 3) (* (pow y 2) (pow z 2)))) (pow z 2))
(/ (- (+ (/ (pow x 2) y) (/ (pow x 4) (* (pow y 3) (pow z 4)))) (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2))))) (pow z 2))
(/ (- (+ (/ (pow x 2) y) (/ (pow x 5) (* (pow y 4) (pow z 6)))) (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2)))) (* -1 (/ (pow x 4) (* (pow y 3) (pow z 4)))))) (pow z 2))
(/ (+ 1 (/ x (* y (pow z 2)))) (pow z 2))
(/ (- (+ 1 (/ (pow x 2) (* (pow y 2) (pow z 4)))) (* -1 (/ x (* y (pow z 2))))) (pow z 2))
(/ (- (+ 1 (/ (pow x 3) (* (pow y 3) (pow z 6)))) (+ (* -1 (/ x (* y (pow z 2)))) (* -1 (/ (pow x 2) (* (pow y 2) (pow z 4)))))) (pow z 2))
(* -1 (* (sqrt y) z))
(* -1 (* z (+ (sqrt y) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))
(* -1 (* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))))
(* -1 (* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (+ (* 1/16 (* (/ (pow x 3) (pow z 6)) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))))

Outputs
(* y (pow z 2))
(.f64 (.f64 z z) y)
(+ x (* y (pow z 2)))
(fma.f64 (*.f64 z z) y x)
(* (sqrt y) z)
(*.f64 (sqrt.f64 y) z)
(+ (* 1/2 (* (/ x z) (sqrt (/ 1 y)))) (* (sqrt y) z))
(fma.f64 (.f64 (/.f64 x z) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (sqrt.f64 y) z))
(+ (* x (+ (* -1/8 (* (/ x (pow z 3)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 z))))) (* (sqrt y) z))
(fma.f64 (fma.f64 (.f64 x #s(literal -1/8 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 z #s(literal 3 binary64))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z) #s(literal 1/2 binary64))) x (*.f64 (sqrt.f64 y) z))
(+ (* x (+ (* 1/2 (* (sqrt (/ 1 y)) (/ 1 z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow z 3)))) (* 1/16 (* (/ x (pow z 5)) (sqrt (/ 1 (pow y 5))))))))) (* (sqrt y) z))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 x (pow.f64 z #s(literal 5 binary64))) #s(literal 1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/8 binary64))) x (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z) #s(literal 1/2 binary64))) x (.f64 (sqrt.f64 y) z))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y))
(+ (* -1 (/ x (* (pow y 2) (pow z 4)))) (/ 1 (* y (pow z 2))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y)) (/.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y)) y))
(+ (* x (- (/ x (* (pow y 3) (pow z 6))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(fma.f64 (-.f64 (/.f64 (/.f64 x (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y y))) x (/.f64 #s(literal 1 binary64) (.f64 (*.f64 z z) y)))
(+ (* x (- (* x (+ (* -1 (/ x (* (pow y 4) (pow z 8)))) (/ 1 (* (pow y 3) (pow z 6))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 x (pow.f64 z #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) x (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y)))
(/ 1 (pow z 2))
(/.f64 (/.f64 #s(literal 1 binary64) z) z)
(+ (* -1 (/ x (* y (pow z 4)))) (/ 1 (pow z 2)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) z) (/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y)))
(/ x (pow z 2))
(/.f64 (/.f64 x z) z)
(* -1 (/ (pow x 2) (* y (pow z 2))))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 z z) y))
(* (pow x 2) (- (* -1 (/ x (* (pow y 2) (pow z 4)))) (/ 1 (* y (pow z 2)))))
(.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 (/.f64 x y) y) (/.f64 #s(literal -1 binary64) (.f64 (.f64 z z) y))) (.f64 x x))
(* (pow x 2) (- (* x (- (* -1 (/ x (* (pow y 3) (pow z 6)))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2)))))
(.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 x) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y y))) x (/.f64 #s(literal -1 binary64) (.f64 (.f64 z z) y))) (.f64 x x))
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 8)))) (/ 1 (* (pow y 3) (pow z 6))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2)))))
(.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 x) (.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal -1 binary64) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) x (/.f64 #s(literal -1 binary64) (.f64 (.f64 z z) y))) (*.f64 x x))
(/ (pow x 2) (* y (pow z 2)))
(*.f64 (/.f64 x y) (/.f64 (/.f64 x z) z))
(* (pow x 2) (+ (/ 1 (* y (pow z 2))) (/ x (* (pow y 2) (pow z 4)))))
(.f64 (+.f64 (/.f64 (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y))) (*.f64 x x))
(* (pow x 2) (+ (* x (+ (/ 1 (* (pow y 2) (pow z 4))) (/ x (* (pow y 3) (pow z 6))))) (/ 1 (* y (pow z 2)))))
(.f64 (+.f64 (/.f64 (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)) y) (fma.f64 (/.f64 (/.f64 x (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) x (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y)))) (*.f64 x x))
(* (pow x 2) (+ (* x (+ (* x (+ (/ 1 (* (pow y 3) (pow z 6))) (/ x (* (pow y 4) (pow z 8))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2)))))
(.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 x (pow.f64 z #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) x (/.f64 (/.f64 x (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64)))) x (+.f64 (/.f64 (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y)))) (*.f64 x x))
(+ (/ 1 (pow z 2)) (/ x (* y (pow z 4))))
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(+ (* x (+ (/ 1 (* y (pow z 4))) (/ x (* (pow y 2) (pow z 6))))) (/ 1 (pow z 2)))
(fma.f64 (+.f64 (/.f64 (/.f64 x (pow.f64 z #s(literal 6 binary64))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 4 binary64)) y))) x (/.f64 (/.f64 #s(literal 1 binary64) z) z))
(+ (* x (+ (* x (+ (/ 1 (* (pow y 2) (pow z 6))) (/ x (* (pow y 3) (pow z 8))))) (/ 1 (* y (pow z 4))))) (/ 1 (pow z 2)))
(fma.f64 (fma.f64 (/.f64 (/.f64 x (pow.f64 z #s(literal 8 binary64))) (pow.f64 y #s(literal 3 binary64))) x (/.f64 (/.f64 x (pow.f64 z #s(literal 6 binary64))) (.f64 y y))) x (+.f64 (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) z) z)))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(fma.f64 (/.f64 (.f64 (.f64 z z) y) x) x x)
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2))))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 z z) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow z 4)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 y y)) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1/8 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 z z) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow z 4)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (pow z 6)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2))))))))
(.f64 (+.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 y y)) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1/8 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 z z) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1/16 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 (/ (* y (pow z 2)) x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 z z) y) x)) x)
(/ (- (+ 1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x)) x)
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 (neg.f64 y) z) z (.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (*.f64 y y))) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* -1 (/ (* (pow y 3) (pow z 6)) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x))) x)
(/.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 z z) x) y (.f64 (*.f64 (neg.f64 y) y) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) x)))) x)
(* -1 (/ x (* (pow y 2) (pow z 4))))
(/.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (pow.f64 z #s(literal 4 binary64)))
(* x (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* (pow y 2) (pow z 4)))))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y)) x) (/.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (pow.f64 z #s(literal 4 binary64))))
(* -1 (/ x (* y (pow z 4))))
(/.f64 (/.f64 (neg.f64 x) y) (pow.f64 z #s(literal 4 binary64)))
(* x (- (/ 1 (* x (pow z 2))) (/ 1 (* y (pow z 4)))))
(.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) z) x) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 4 binary64)) y))) x)
(* x (+ 1 (+ (/ (* y (pow z 2)) x) (/ (* (pow y 2) (pow z 4)) (pow x 2)))))
(.f64 (fma.f64 (/.f64 (.f64 z z) x) y (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) x) (*.f64 y y) #s(literal 1 binary64))) x)
(* x (+ 1 (+ (/ (* y (pow z 2)) x) (+ (/ (* (pow y 2) (pow z 4)) (pow x 2)) (/ (* (pow y 3) (pow z 6)) (pow x 3))))))
(fma.f64 (fma.f64 (/.f64 (.f64 z z) x) y (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) x) (.f64 y y) (/.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))))) x x)
(* x (+ 1 (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (+ (/ (* y (pow z 2)) x) (/ (* (pow y 2) (pow z 4)) (pow x 2))))))
(.f64 (fma.f64 (.f64 (neg.f64 y) y) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) x) (fma.f64 (/.f64 (.f64 z z) x) y (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) x) (.f64 y y) #s(literal 1 binary64)))) x)
(* -1 x)
(neg.f64 x)
(* x (- (* -1 (/ (* y (pow z 2)) x)) 1))
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(* x (- (* -1 (/ (* (pow y 3) (pow z 6)) (pow x 3))) (+ 1 (+ (/ (* y (pow z 2)) x) (/ (* (pow y 2) (pow z 4)) (pow x 2))))))
(.f64 (fma.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (fma.f64 z z (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) x)) y) x) #s(literal -1 binary64) #s(literal -1 binary64))) x)
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(/ (+ (* -1 y) (* -1 (/ (* (pow y 2) (pow z 2)) x))) x)
(/.f64 (neg.f64 (fma.f64 y (/.f64 (.f64 (.f64 z z) y) x) y)) x)
(/ (- (+ (* -1 y) (* -1 (/ (* (pow y 3) (pow z 4)) (pow x 2)))) (/ (* (pow y 2) (pow z 2)) x)) x)
(/.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64)) (.f64 (.f64 (*.f64 z z) y) y))) x)) x)
(/ (- (+ (* -1 y) (* -1 (/ (* (pow y 4) (pow z 6)) (pow x 3)))) (+ (/ (* (pow y 2) (pow z 2)) x) (/ (* (pow y 3) (pow z 4)) (pow x 2)))) x)
(/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64)) y) #s(literal -1 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64)) (.f64 (.f64 (*.f64 z z) y) y))) x)) x)
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(+ (* (pow z 2) (- (/ (* (pow y 2) (pow z 2)) (pow x 3)) (/ y (pow x 2)))) (/ 1 x))
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(+ (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 4))) (* -1 (/ (pow y 2) (pow x 3))))) (/ y (pow x 2)))) (/ 1 x))
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(/ (+ (* -1 (/ x (pow y 2))) (/ (pow z 2) y)) (pow z 4))
(/.f64 (fma.f64 z (/.f64 z y) (/.f64 (/.f64 (neg.f64 x) y) y)) (pow.f64 z #s(literal 4 binary64)))
(/ (- (pow z 2) (/ x y)) (pow z 4))
(/.f64 (fma.f64 z z (/.f64 (neg.f64 x) y)) (pow.f64 z #s(literal 4 binary64)))
(- (* (pow z 2) (+ y (/ (* (pow y 2) (pow z 2)) x))) (* -1 x))
(fma.f64 (fma.f64 y (/.f64 (.f64 (.f64 z z) y) x) y) (*.f64 z z) x)
(- (* (pow z 2) (+ y (* (pow z 2) (+ (/ (* (pow y 3) (pow z 2)) (pow x 2)) (/ (pow y 2) x))))) (* -1 x))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (/.f64 (.f64 z z) x) (.f64 y (/.f64 y x))) (.f64 z z) y) (.f64 z z) x)
(- (* (pow z 2) (+ y (* (pow z 2) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))))) (* -1 x))
(fma.f64 (fma.f64 #s(literal 0 binary64) (.f64 z z) y) (.f64 z z) x)
(+ (* -1 x) (* (pow z 2) (- (* -1 (/ (* (pow y 2) (pow z 2)) x)) y)))
(fma.f64 (neg.f64 (fma.f64 y (/.f64 (.f64 (.f64 z z) y) x) y)) (*.f64 z z) (neg.f64 x))
(+ (* -1 x) (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 2))) (/ (pow y 2) x))) y)))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (/.f64 (.f64 z z) x) (.f64 y (/.f64 y x)))) (.f64 z z) (neg.f64 y)) (.f64 z z) (neg.f64 x))
(+ (* -1 (/ y x)) (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))))
(/.f64 (neg.f64 (fma.f64 y (/.f64 (.f64 (.f64 z z) y) x) y)) x)
(+ (* -1 (/ y x)) (* (pow z 2) (- (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 3))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (neg.f64 (fma.f64 (.f64 z (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)) (.f64 y (/.f64 (/.f64 y x) x)))) (*.f64 z z) (/.f64 y (neg.f64 x)))
(+ (* -1 (/ y x)) (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (* (pow y 4) (pow z 2)) (pow x 4))) (/ (pow y 3) (pow x 3)))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (.f64 z (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 z z) (/.f64 (.f64 (neg.f64 y) y) (.f64 x x))) (*.f64 z z) (/.f64 y (neg.f64 x)))
(* (pow z 2) (+ y (/ x (pow z 2))))
(.f64 (.f64 (+.f64 (/.f64 (/.f64 x z) z) y) z) z)
(* z (+ (sqrt y) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))
(.f64 (fma.f64 (.f64 (/.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) z)
(* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))
(.f64 (fma.f64 (.f64 (.f64 x (/.f64 x (pow.f64 z #s(literal 4 binary64)))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 (/.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) z)
(* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (+ (* 1/16 (* (/ (pow x 3) (pow z 6)) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))))
(.f64 (+.f64 (fma.f64 (.f64 (.f64 x (/.f64 x (pow.f64 z #s(literal 4 binary64)))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 y)) (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (.f64 (/.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) z)
(/ (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 y)) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 (.f64 (.f64 z z) y) y))) (.f64 z z))
(/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2)))) (pow z 2))
(/.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 (.f64 (.f64 z z) y) y)))) (.f64 z z))
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) (pow z 6)))) (/ 1 y)) (+ (* -1 (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (/.f64 x (.f64 (.f64 (.f64 z z) y) y)) (.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 z #s(literal 4 binary64)))))) (*.f64 z z))
(/ (+ 1 (* -1 (/ x (* y (pow z 2))))) (pow z 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 x z) z) y)) z) z)
(/ (- (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2)))) (/ (pow x 2) y)) (pow z 2))
(/.f64 (neg.f64 (fma.f64 x (/.f64 x y) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 (.f64 z z) y) y)))) (.f64 z z))
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2)))) (* -1 (/ (pow x 4) (* (pow y 3) (pow z 4))))) (/ (pow x 2) y)) (pow z 2))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (fma.f64 x (/.f64 x y) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 (.f64 z z) y) y))))) (.f64 z z))
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2)))) (+ (* -1 (/ (pow x 4) (* (pow y 3) (pow z 4)))) (* -1 (/ (pow x 5) (* (pow y 4) (pow z 6)))))) (/ (pow x 2) y)) (pow z 2))
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))) (pow.f64 z #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (fma.f64 x (/.f64 x y) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 (.f64 z z) y) y))))) (*.f64 z z))
(* (pow z 2) (- (+ y (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (pow z 4)))) (* -1 (/ x (pow z 2)))))
(.f64 (+.f64 (-.f64 y (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (/.f64 x z) z)) (.f64 z z))
(/ (+ (/ (pow x 2) y) (/ (pow x 3) (* (pow y 2) (pow z 2)))) (pow z 2))
(/.f64 (fma.f64 x (/.f64 x y) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 (.f64 z z) y) y))) (.f64 z z))
(/ (- (+ (/ (pow x 2) y) (/ (pow x 4) (* (pow y 3) (pow z 4)))) (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2))))) (pow z 2))
(/.f64 (+.f64 (fma.f64 x (/.f64 x y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 (.f64 z z) y) y))) (*.f64 z z))
(/ (- (+ (/ (pow x 2) y) (/ (pow x 5) (* (pow y 4) (pow z 6)))) (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2)))) (* -1 (/ (pow x 4) (* (pow y 3) (pow z 4)))))) (pow z 2))
(/.f64 (-.f64 (fma.f64 x (/.f64 x y) (/.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64))))) (-.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 (.f64 z z) y) y)))) (*.f64 z z))
(/ (+ 1 (/ x (* y (pow z 2)))) (pow z 2))
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 x z) z) y) #s(literal 1 binary64)) z) z)
(/ (- (+ 1 (/ (pow x 2) (* (pow y 2) (pow z 4)))) (* -1 (/ x (* y (pow z 2))))) (pow z 2))
(/.f64 (fma.f64 (/.f64 (/.f64 x y) y) (/.f64 x (pow.f64 z #s(literal 4 binary64))) (+.f64 (/.f64 (/.f64 (/.f64 x z) z) y) #s(literal 1 binary64))) (*.f64 z z))
(/ (- (+ 1 (/ (pow x 3) (* (pow y 3) (pow z 6)))) (+ (* -1 (/ x (* y (pow z 2)))) (* -1 (/ (pow x 2) (* (pow y 2) (pow z 4)))))) (pow z 2))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)) y) (/.f64 (/.f64 (/.f64 x z) z) y)) (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))) (.f64 z z))
(* -1 (* (sqrt y) z))
(*.f64 (neg.f64 z) (sqrt.f64 y))
(* -1 (* z (+ (sqrt y) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))
(.f64 (neg.f64 z) (fma.f64 (.f64 (/.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(* -1 (* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))))
(.f64 (neg.f64 z) (fma.f64 (.f64 (.f64 x (/.f64 x (pow.f64 z #s(literal 4 binary64)))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 (/.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(* -1 (* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (+ (* 1/16 (* (/ (pow x 3) (pow z 6)) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))))
(.f64 (neg.f64 z) (+.f64 (fma.f64 (.f64 (.f64 x (/.f64 x (pow.f64 z #s(literal 4 binary64)))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 y)) (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (.f64 (/.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))

rewrite307.0ms (6%)

Memory

-9.0MiB live, 227.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	338
0	82	305
1	301	283
2	2538	283
0	8709	283

Stop Event

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

Counts

21 → 675

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (fma.f64 (.f64 z y) z x)) #s(approx (sqrt (+ (* (* z y) z) x)) (*.f64 (sqrt.f64 y) z)))
(sqrt.f64 (fma.f64 (*.f64 z y) z x))
(fma.f64 (*.f64 z y) z x)
(*.f64 z y)
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 #s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) y)))
#s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 #s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) y))
(/.f64 #s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) y)
#s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (.f64 (.f64 y z) z) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))) (.f64 (.f64 (.f64 y z) z) y))
(.f64 (.f64 (.f64 y z) z) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))
(*.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (.f64 (.f64 y z) z) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))) (.f64 (.f64 (.f64 y z) z) y))))
(/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) #s(literal 1 binary64))
(neg.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 z y) z (neg.f64 x))))
(fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) #s(literal 1 binary64)) (/.f64 y (fma.f64 (.f64 z y) z (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 z y) z (neg.f64 x)))))
(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
#s(approx (sqrt (+ (* (* z y) z) x)) (*.f64 (sqrt.f64 y) z))
(*.f64 (sqrt.f64 y) z)
#s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (.f64 (.f64 y z) z) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))) (.f64 (.f64 (.f64 y z) z) y)))
(/.f64 (.f64 x x) (fma.f64 (.f64 z y) z (neg.f64 x)))
(/.f64 y (fma.f64 (*.f64 z y) z (neg.f64 x)))

Outputs
(.f64 #s(approx (sqrt (+ ( (* z y) z) x)) (.f64 (sqrt.f64 y) z)) (sqrt.f64 (fma.f64 (.f64 y z) z x)))
(.f64 (sqrt.f64 (fma.f64 (.f64 y z) z x)) #s(approx (sqrt (+ (* (* z y) z) x)) (*.f64 (sqrt.f64 y) z)))
(.f64 (sqrt.f64 (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)))) (sqrt.f64 (fma.f64 (.f64 y z) z x)))
(.f64 (sqrt.f64 (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (.f64 (*.f64 y z) z))))))
(.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 y z) z) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (.f64 (neg.f64 x) x)) (fma.f64 (.f64 y z) z (neg.f64 x))) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal 3 binary64))) (/.f64 (pow.f64 (.f64 (.f64 y z) z) #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (.f64 (neg.f64 x) x))) (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 (.f64 y z) z) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 y z) z (neg.f64 x)) #s(literal 2 binary64)))) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (.f64 y z) z x)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (.f64 (*.f64 y z) z)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 y z) z) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (.f64 (neg.f64 x) x)) (fma.f64 (.f64 y z) z (neg.f64 x))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal 3 binary64))) (/.f64 (pow.f64 (.f64 (.f64 y z) z) #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (.f64 (neg.f64 x) x))) (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 (.f64 y z) z) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 y z) z (neg.f64 x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 y z) z x) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))) (sqrt.f64 (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))) (pow.f64 (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (*.f64 y z) z)))) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (pow.f64 (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (*.f64 y z) z)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 y z) z (neg.f64 x)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (.f64 y z) z)))))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 y z) z) #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (fma.f64 (*.f64 y z) z (neg.f64 x)))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 y z) z) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (/.f64 (pow.f64 (.f64 (.f64 y z) z) #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (/.f64 y (fma.f64 (.f64 y z) z (neg.f64 x))) y) (pow.f64 z #s(literal 4 binary64))) (.f64 (/.f64 x (fma.f64 (*.f64 y z) z (neg.f64 x))) x))))))
(/.f64 (sqrt.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 y z) z) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (.f64 (neg.f64 x) x)) (fma.f64 (*.f64 y z) z (neg.f64 x))))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal 3 binary64))) (/.f64 (pow.f64 (.f64 (.f64 y z) z) #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal 3 binary64)))))) (sqrt.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (.f64 (neg.f64 x) x))) (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 (.f64 y z) z) #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal 2 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (neg.f64 (fma.f64 (.f64 y z) z (neg.f64 x)))) (.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) (.f64 (neg.f64 x) x)))) (sqrt.f64 (.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) (neg.f64 (fma.f64 (.f64 y z) z (neg.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (fma.f64 (.f64 y z) z (neg.f64 x))) (.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) (.f64 x x)))) (sqrt.f64 (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) (pow.f64 x #s(literal -2 binary64)))) (fma.f64 (.f64 y z) z (neg.f64 x)))) (sqrt.f64 (.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) (.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 (.f64 (/.f64 y (fma.f64 (.f64 y z) z (neg.f64 x))) y) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (fma.f64 (.f64 y z) z (neg.f64 x)))) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))) (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y z) z (neg.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 (.f64 (/.f64 y (fma.f64 (.f64 y z) z (neg.f64 x))) y) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 y z) z (neg.f64 x))) (.f64 x x))) (sqrt.f64 (fma.f64 (*.f64 y z) z (neg.f64 x))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 (.f64 (/.f64 y (fma.f64 (.f64 y z) z (neg.f64 x))) y) (pow.f64 z #s(literal 4 binary64))) (.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 (*.f64 y z) z (neg.f64 x)) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (fma.f64 (.f64 y z) z (neg.f64 x)) (.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) (.f64 (neg.f64 x) x)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 y z) z (neg.f64 x)) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (neg.f64 (fma.f64 (.f64 y z) z (neg.f64 x))) (.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) (.f64 x x)))) (sqrt.f64 (.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) (neg.f64 (fma.f64 (*.f64 y z) z (neg.f64 x))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 y (fma.f64 (.f64 y z) z (neg.f64 x))) y) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (.f64 y z) z (neg.f64 x)) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)))) (sqrt.f64 (fma.f64 (*.f64 y z) z (neg.f64 x))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 (/.f64 y (fma.f64 (.f64 y z) z (neg.f64 x))) y) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (fma.f64 (.f64 y z) z (neg.f64 x))) (.f64 x x))) (sqrt.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y z) z (neg.f64 x))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 y z) z (neg.f64 x)) (.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 y z) z (neg.f64 x)) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) (.f64 (.f64 (/.f64 y (fma.f64 (.f64 y z) z (neg.f64 x))) y) (pow.f64 z #s(literal 4 binary64)))))) (sqrt.f64 (fma.f64 (*.f64 y z) z (neg.f64 x))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 y z) z (neg.f64 x)) (.f64 (neg.f64 (fma.f64 (.f64 y z) z (neg.f64 x))) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)))) (sqrt.f64 (.f64 (neg.f64 (fma.f64 (.f64 y z) z (neg.f64 x))) (fma.f64 (*.f64 y z) z (neg.f64 x)))))
(/.f64 (sqrt.f64 (fma.f64 x x (.f64 (neg.f64 (fma.f64 (.f64 y z) z (neg.f64 x))) (.f64 (.f64 (/.f64 y (fma.f64 (.f64 y z) z (neg.f64 x))) y) (pow.f64 z #s(literal 4 binary64)))))) (sqrt.f64 (.f64 (neg.f64 (fma.f64 (*.f64 y z) z (neg.f64 x))) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) (sqrt.f64 (-.f64 x (.f64 (*.f64 y z) z))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 y z) z (neg.f64 x)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (.f64 y z) z)))))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 y z) z) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (.f64 (neg.f64 x) x)) (fma.f64 (*.f64 y z) z (neg.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal 3 binary64))) (/.f64 (pow.f64 (.f64 (.f64 y z) z) #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 y z) z) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (.f64 (neg.f64 x) x))) (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal 3 binary64))) (/.f64 (pow.f64 (.f64 (.f64 y z) z) #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (.f64 (neg.f64 x) x))) (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 (.f64 y z) z) #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))) (sqrt.f64 (fma.f64 (*.f64 y z) z (neg.f64 x))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (.f64 (.f64 (*.f64 y z) z) x)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (.f64 y z) z))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (*.f64 (neg.f64 x) x)))))
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(.f64 (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal -1 binary64)) (*.f64 x x))
(.f64 (.f64 (neg.f64 x) x) (pow.f64 (neg.f64 (fma.f64 (*.f64 y z) z (neg.f64 x))) #s(literal -1 binary64)))
(.f64 (.f64 x x) (pow.f64 (fma.f64 (*.f64 y z) z (neg.f64 x)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 x (fma.f64 (*.f64 y z) z (neg.f64 x))) x))
(.f64 x (/.f64 x (fma.f64 (.f64 y z) z (neg.f64 x))))
(pow.f64 (/.f64 (.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (neg.f64 x) x) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y z) z (neg.f64 x))))))
(/.f64 (.f64 (neg.f64 x) x) (neg.f64 (fma.f64 (.f64 y z) z (neg.f64 x))))
(/.f64 (.f64 x x) (neg.f64 (neg.f64 (fma.f64 (.f64 y z) z (neg.f64 x)))))
(/.f64 (.f64 x x) (fma.f64 (.f64 y z) z (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(neg.f64 (.f64 (neg.f64 x) (/.f64 x (fma.f64 (.f64 y z) z (neg.f64 x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 y z) z (neg.f64 x)))) (.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 y z) z (neg.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (*.f64 y z) z (neg.f64 x)) (pow.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 y (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))) (fma.f64 (.f64 y z) z x))
(.f64 (/.f64 y (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (.f64 (*.f64 y z) z)))))
(.f64 (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal -1 binary64)) y)
(.f64 (neg.f64 y) (pow.f64 (neg.f64 (fma.f64 (.f64 y z) z (neg.f64 x))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (.f64 y z) z (neg.f64 x))))
(.f64 y (pow.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 y z) z (neg.f64 x)) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y z) z (neg.f64 x))))))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (fma.f64 (*.f64 y z) z (neg.f64 x)))))
(/.f64 (neg.f64 y) (neg.f64 (fma.f64 (*.f64 y z) z (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 y z) z (neg.f64 x)) y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 y z) z (neg.f64 x)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) z (neg.f64 x)) y))
(/.f64 y (fma.f64 (*.f64 y z) z (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 y) (fma.f64 (*.f64 y z) z (neg.f64 x))))
(neg.f64 (/.f64 y (neg.f64 (fma.f64 (*.f64 y z) z (neg.f64 x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 y z) z (neg.f64 x)))) (/.f64 y (neg.f64 (fma.f64 (.f64 y z) z (neg.f64 x)))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (.f64 y z) z (neg.f64 x)) y)) #s(literal -1 binary64)))

eval127.0ms (2.5%)

Memory: 9.2MiB live, 169.0MiB allocated
Compiler: Compiled 30 229 to 2 933 computations (90.3% saved)

prune52.0ms (1%)

Memory

-6.2MiB live, 42.3MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	666	3	669
Fresh	0	0	0
Picked	3	1	4
Done	1	5	6
Total	670	9	679

Accuracy

100.0%

Counts

679 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 z y) z x)
✓	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) z x)))
	41.3%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) #s(approx ( (* (* y z) z) (/ x (* (pow z 4) y))) (/.f64 (/.f64 x z) z))) (.f64 (.f64 (*.f64 y z) z) y))))
✓	44.4%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 #s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) y)))
✓	99.9%	(+.f64 x (.f64 (.f64 y z) z))
	25.7%	(.f64 #s(approx (sqrt (+ ( (* z y) z) x)) (.f64 (sqrt.f64 y) z)) #s(approx (sqrt (+ ( (* z y) z) x)) (*.f64 (sqrt.f64 y) z)))
✓	44.3%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
✓	49.1%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))
	85.9%	#s(approx (* (sqrt (+ (* (* z y) z) x)) (sqrt (+ (* (* z y) z) x))) (.f64 (neg.f64 (fma.f64 (/.f64 (.f64 z z) x) y #s(literal 1 binary64))) (neg.f64 x)))

Compiler

Compiled 576 to 215 computations (62.7% saved)

regimes35.0ms (0.7%)

Memory

22.5MiB live, 60.3MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
(fma.f64 (*.f64 z y) z x)
(+.f64 x (.f64 (.f64 y z) z))
#s(approx (* (sqrt (+ (* (* z y) z) x)) (sqrt (+ (* (* z y) z) x))) (.f64 (neg.f64 (fma.f64 (/.f64 (.f64 z z) x) y #s(literal 1 binary64))) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) z x)))
(.f64 #s(approx (sqrt (+ ( (* z y) z) x)) (.f64 (sqrt.f64 y) z)) #s(approx (sqrt (+ ( (* z y) z) x)) (*.f64 (sqrt.f64 y) z)))
(.f64 (sqrt.f64 (fma.f64 (.f64 z y) z x)) #s(approx (sqrt (+ (* (* z y) z) x)) (*.f64 (sqrt.f64 y) z)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 #s(approx (- (/ 1 (* z z)) (/ x (* (pow z 4) y))) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) y)))
(.f64 (sqrt.f64 (fma.f64 (.f64 z y) z x)) (sqrt.f64 (fma.f64 (*.f64 z y) z x)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (*.f64 z y) z) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) #s(approx ( (* (* y z) z) (/ x (* (pow z 4) y))) (/.f64 (/.f64 x z) z))) (.f64 (.f64 (*.f64 y z) z) y))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* z y) z) x) -1) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (.f64 (.f64 y z) z) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)))) (.f64 (.f64 (.f64 y z) z) y))))
(fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) #s(literal 1 binary64)) (/.f64 y (fma.f64 (.f64 z y) z (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 z y) z (neg.f64 x)))))
(fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) z) (fma.f64 (.f64 z y) z (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 (*.f64 z y) z (neg.f64 x)))))

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

Calls

5 calls:

13.0ms	z
5.0ms	x
5.0ms	y
5.0ms	(+.f64 x (.f64 (.f64 y z) z))
5.0ms	(.f64 (.f64 y z) z)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(+.f64 x (.f64 (.f64 y z) z))`
99.9%	1	`(.f64 (.f64 y z) z)`

Compiler

Compiled 15 to 20 computations (-33.3% saved)

regimes11.0ms (0.2%)

Memory

-15.8MiB live, 20.9MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(+.f64 x (.f64 (.f64 y z) z))`
99.9%	1	`(.f64 (.f64 y z) z)`

Compiler

Compiled 15 to 20 computations (-33.3% saved)

regimes8.0ms (0.2%)

Memory

-16.9MiB live, 21.3MiB allocated

Accuracy

Total -3.0b remaining (-9.3%)

Threshold costs -3b (-9.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	x
1.0ms	y
1.0ms	z
1.0ms	(+.f64 x (.f64 (.f64 y z) z))
1.0ms	(.f64 (.f64 y z) z)

Results

Accuracy	Segments	Branch
49.1%	1	`x`
49.1%	1	`y`
49.1%	1	`z`
49.1%	1	`(+.f64 x (.f64 (.f64 y z) z))`
49.1%	1	`(.f64 (.f64 y z) z)`

Compiler

Compiled 15 to 20 computations (-33.3% saved)

simplify8.0ms (0.2%)

Memory

17.1MiB live, 17.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	18	26
2	19	26

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness458.0ms (9%)

Memory

-12.9MiB live, 307.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	91
0	39	73
1	133	73
2	830	73
0	8688	73
0	28	51
1	87	51
2	241	51
3	716	51
4	2180	51
5	4432	51
6	7156	51
0	8234	45
0	6	15
0	9	15
1	27	15
2	179	15
3	1792	15
0	8600	14

Stop Event

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

Compiler

Compiled 63 to 36 computations (42.9% saved)

preprocess94.0ms (1.9%)

Memory: 6.5MiB live, 89.3MiB allocated
Remove: (abs z)
Compiler: Compiled 94 to 62 computations (34% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample802.0ms (15.7%)

explain236.0ms (4.6%)

preprocess83.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0%)

localize29.0ms (0.6%)

series7.0ms (0.1%)

simplify117.0ms (2.3%)

rewrite201.0ms (3.9%)

eval50.0ms (1%)

prune4.0ms (0.1%)

simplify80.0ms (1.6%)

localize72.0ms (1.4%)

series49.0ms (1%)

simplify184.0ms (3.6%)

rewrite574.0ms (11.3%)

eval76.0ms (1.5%)

prune19.0ms (0.4%)

simplify100.0ms (2%)

localize118.0ms (2.3%)

series34.0ms (0.7%)

simplify155.0ms (3%)

rewrite239.0ms (4.7%)

eval160.0ms (3.1%)

prune40.0ms (0.8%)

simplify144.0ms (2.8%)

localize188.0ms (3.7%)

series59.0ms (1.2%)

simplify173.0ms (3.4%)

rewrite307.0ms (6%)

eval127.0ms (2.5%)

prune52.0ms (1%)

regimes35.0ms (0.7%)

regimes11.0ms (0.2%)

regimes8.0ms (0.2%)

simplify8.0ms (0.2%)

soundness458.0ms (9%)

preprocess94.0ms (1.9%)

end0.0ms (0%)

Profiling