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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample950.0ms (21.1%)

Memory

12.1MiB live, 639.9MiB allocated

Samples

707.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 407.0ms

ival-mult: 306.0ms (75.1% of total)

ival-add: 91.0ms (22.3% of total)

ival-true: 6.0ms (1.5% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain86.0ms (1.9%)

Memory

-18.5MiB live, 102.9MiB 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

45.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-mult: 25.0ms (89.2% of total)

ival-add: 2.0ms (7.1% of total)

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

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

preprocess30.0ms (0.7%)

Memory

6.2MiB live, 44.1MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify2.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB 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	128	(+.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

localize18.0ms (0.4%)

Memory

7.5MiB live, 44.3MiB 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	0.12109375	(.f64 (.f64 y z) z)

Samples

14.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-mult: 3.0ms (56.8% of total)

ival-add: 2.0ms (37.9% of total)

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

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

series10.0ms (0.2%)

Memory

-19.7MiB live, 17.8MiB 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
3.0ms	z	@	inf	((+ x (* (* y z) z)) (* (* y z) z) (* y z))
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))

simplify90.0ms (2%)

Memory

34.9MiB live, 151.4MiB 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)

rewrite468.0ms (10.4%)

Memory

-86.4MiB live, 286.1MiB 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))
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(fma.f64 (pow.f64 y #s(literal 1 binary64)) (*.f64 z z) x)
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(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)

eval16.0ms (0.4%)

Memory: 35.1MiB live, 35.1MiB allocated
Compiler: Compiled 5 924 to 493 computations (91.7% saved)

prune26.0ms (0.6%)

Memory

-20.2MiB live, 18.4MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	169	6	175
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	170	6	176

Accuracy

100.0%

Counts

176 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.5%	(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)
▶	93.3%	(fma.f64 (*.f64 z z) y x)
▶	99.9%	(fma.f64 (*.f64 z y) z x)
▶	16.1%	(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64))) (.f64 (fma.f64 x x (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))) (-.f64 x (.f64 (*.f64 z y) z))))
	16.1%	(/.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)))))
▶	45.9%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))

Compiler

Compiled 206 to 118 computations (42.7% saved)

simplify107.0ms (2.4%)

Memory

23.9MiB live, 182.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 z y) z)
cost-diff	0	(pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64)))
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (.f64 z y) z)
cost-diff	2240	(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)
cost-diff	5824	(pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 z z)
cost-diff	0	(fma.f64 (*.f64 z z) y x)
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))
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 (*.f64 z y) z x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	188
0	44	176
1	71	176
2	153	176
3	392	176
4	1507	176
5	4998	176
0	8253	176

Stop Event

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

Calls

Call 1

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

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

localize140.0ms (3.1%)

Memory

-5.5MiB live, 157.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))
accuracy	0.07421875	(.f64 (.f64 z y) z)
accuracy	4.996060723283294	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64)))
accuracy	21.410973621908997	(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64))) (.f64 (fma.f64 x x (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))) (-.f64 x (.f64 (*.f64 z y) z))))
accuracy	0.0	(*.f64 z y)
accuracy	0.06478500976844201	(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)
accuracy	0.07421875	(.f64 (.f64 z y) z)
accuracy	9.92269737900261	(pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 z z)
accuracy	1.4220512310373785	(fma.f64 (*.f64 z z) y x)
accuracy	0.0	(*.f64 z z)
accuracy	2.6574445191036395	(.f64 (.f64 z z) y)
accuracy	14.876484907550937	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
accuracy	0.0	(*.f64 z y)
accuracy	0.04296875	(fma.f64 (*.f64 z y) z x)

Samples

86.0ms	141×	0	invalid
22.0ms	115×	0	valid

Compiler

Compiled 378 to 55 computations (85.4% saved)

Precisions

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

ival-pow2: 30.0ms (41.6% of total)

ival-mult: 24.0ms (33.3% of total)

ival-pow: 7.0ms (9.7% of total)

ival-add: 5.0ms (6.9% of total)

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

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

ival-sqrt: 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)

series70.0ms (1.5%)

Memory

2.4MiB live, 81.1MiB allocated

Counts

14 → 38

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
29.0ms	y	@	-inf	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (* (* z y) z) (- (pow x 4) (pow (* (* z y) z) 4)) (pow x 4) (pow (* (* z y) z) 4) (/ (- (pow x 4) (pow (* (* z y) z) 4)) (* (+ (* x x) (pow (* (* z y) z) 2)) (- x (* (* z y) z)))) (pow (* (* z y) z) 2))
15.0ms	x	@	0	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (* (* z y) z) (- (pow x 4) (pow (* (* z y) z) 4)) (pow x 4) (pow (* (* z y) z) 4) (/ (- (pow x 4) (pow (* (* z y) z) 4)) (* (+ (* x x) (pow (* (* z y) z) 2)) (- x (* (* z y) z)))) (pow (* (* z y) z) 2))
5.0ms	z	@	-inf	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (* (* z y) z) (- (pow x 4) (pow (* (* z y) z) 4)) (pow x 4) (pow (* (* z y) z) 4) (/ (- (pow x 4) (pow (* (* z y) z) 4)) (* (+ (* x x) (pow (* (* z y) z) 2)) (- x (* (* z y) z)))) (pow (* (* z y) z) 2))
4.0ms	y	@	0	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (* (* z y) z) (- (pow x 4) (pow (* (* z y) z) 4)) (pow x 4) (pow (* (* z y) z) 4) (/ (- (pow x 4) (pow (* (* z y) z) 4)) (* (+ (* x x) (pow (* (* z y) z) 2)) (- x (* (* z y) z)))) (pow (* (* z y) z) 2))
4.0ms	z	@	inf	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (* (* z y) z) (- (pow x 4) (pow (* (* z y) z) 4)) (pow x 4) (pow (* (* z y) z) 4) (/ (- (pow x 4) (pow (* (* z y) z) 4)) (* (+ (* x x) (pow (* (* z y) z) 2)) (- x (* (* z y) z)))) (pow (* (* z y) z) 2))

simplify152.0ms (3.4%)

Memory

-0.5MiB live, 72.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	232	461
1	774	409
2	3080	367
0	9020	347

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 37

Calls

Call 1

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

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

rewrite309.0ms (6.9%)

Memory

-12.4MiB live, 236.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	122
0	44	86
1	193	86
2	1180	81
0	8360	81

Stop Event

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

Counts

14 → 1 170

Calls

Call 1

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

Outputs
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 6 binary64)))) (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 z (.f64 z y)) (fma.f64 z (.f64 z y) x) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 8 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 x (.f64 z (.f64 z y))) #s(literal -1 binary64)) (fma.f64 x x (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))))
(.f64 (/.f64 (fma.f64 z (.f64 z y) x) #s(literal 1 binary64)) (/.f64 (-.f64 x (.f64 z (.f64 z y))) (-.f64 x (.f64 z (.f64 z y)))))
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (-.f64 x (.f64 z (.f64 z y))) (fma.f64 x x (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 binary64))))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 8 binary64))) (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 8 binary64))) (+.f64 (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (-.f64 (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (.f64 x x)))) (/.f64 (+.f64 (-.f64 (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 8 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 z (.f64 z y)) x)))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 8 binary64))) (+.f64 (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 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 (+.f64 (-.f64 (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 8 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x (-.f64 x (.f64 z (.f64 z y))) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 8 binary64))) (+.f64 (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) (/.f64 (+.f64 (-.f64 (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 8 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (.f64 z (.f64 z y)))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 8 binary64))) (+.f64 (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (.f64 x x) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))) (.f64 (+.f64 (-.f64 (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 8 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 z (.f64 z y) x)))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 8 binary64))) (+.f64 (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 6 binary64)))) (/.f64 (+.f64 (-.f64 (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 8 binary64)) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 z (.f64 z y)) (fma.f64 z (.f64 z y) x) (*.f64 x x)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (-.f64 (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (.f64 x x)))) (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (-.f64 (.f64 z (*.f64 z y)) x)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 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 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (fma.f64 x (-.f64 x (.f64 z (.f64 z y))) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))))
(.f64 (/.f64 (fma.f64 z (.f64 z y) x) (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (-.f64 (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (.f64 x x)))) (/.f64 (-.f64 x (.f64 z (.f64 z y))) (-.f64 (.f64 z (.f64 z y)) x)))
(.f64 (/.f64 (fma.f64 z (.f64 z y) x) (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 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 (-.f64 x (.f64 z (.f64 z y))) (fma.f64 x (-.f64 x (.f64 z (.f64 z y))) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))))
(.f64 (/.f64 (fma.f64 z (.f64 z y) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 6 binary64)))) (/.f64 (-.f64 x (.f64 z (.f64 z y))) (pow.f64 (fma.f64 (.f64 z (.f64 z y)) (fma.f64 z (.f64 z y) x) (*.f64 x x)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 8 binary64))) (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (-.f64 (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (.f64 x x)))) (/.f64 (pow.f64 (fma.f64 x x (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (.f64 z (*.f64 z y)) x)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 8 binary64))) (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 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 (pow.f64 (fma.f64 x x (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 x (-.f64 x (.f64 z (.f64 z y))) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 x x (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 z (.f64 z y)) (fma.f64 z (.f64 z y) x) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 16 binary64))) (pow.f64 x #s(literal 8 binary64))) (.f64 (-.f64 x (.f64 z (.f64 z y))) (fma.f64 x x (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 binary64))))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 8 binary64))) (+.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 16 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 16 binary64))) (-.f64 x (.f64 z (.f64 z y)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 x x (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 16 binary64))) (fma.f64 x x (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 x (.f64 z (*.f64 z y)))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 24 binary64))) (-.f64 x (.f64 z (.f64 z y)))) (/.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 16 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)) (fma.f64 x x (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 24 binary64))) (fma.f64 x x (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 16 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)) (-.f64 x (.f64 z (*.f64 z y)))))
(.f64 (/.f64 (fma.f64 x x (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (-.f64 x (.f64 z (.f64 z y)))) (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (fma.f64 x x (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))))
(.f64 (/.f64 (fma.f64 x x (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (fma.f64 x x (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))) (fma.f64 z (.f64 z y) x))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 z (.f64 z y)))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 8 binary64))) (neg.f64 (fma.f64 x x (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))))))
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(.f64 (pow.f64 (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 z (sqrt.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 z (.f64 z y)) (*.f64 z y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) z)
(*.f64 (pow.f64 (pow.f64 z #s(literal 8 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 8 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (.f64 z y) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 z y) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))
(.f64 (pow.f64 (sqrt.f64 z) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (.f64 z y)) #s(literal 4 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 z y)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 (.f64 z y))) #s(literal 2 binary64)) z)
(.f64 (.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) z) z)
(.f64 (pow.f64 (.f64 (*.f64 z (sqrt.f64 y)) z) #s(literal 2 binary64)) y)
(.f64 (.f64 (.f64 z (.f64 z y)) (*.f64 z y)) z)
(.f64 (.f64 (.f64 z (.f64 z y)) y) (*.f64 z z))
(.f64 (.f64 (.f64 z (.f64 z y)) z) (*.f64 z y))
(.f64 (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 3 binary64)) (*.f64 z (sqrt.f64 y)))
(.f64 z (pow.f64 (.f64 (.f64 z y) (.f64 z (*.f64 z y))) #s(literal 1 binary64)))
(.f64 z (.f64 (.f64 z y) (.f64 z (*.f64 z y))))
(.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)))
(.f64 (.f64 (neg.f64 y) (.f64 z z)) (.f64 (neg.f64 y) (*.f64 z z)))
(*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
(.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 y y))
(.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (*.f64 z z))
(.f64 (.f64 z (sqrt.f64 y)) (pow.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 z (sqrt.f64 y)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 3 binary64)))
(.f64 (.f64 z (.f64 z y)) (.f64 z (*.f64 z y)))
(.f64 (.f64 z z) (pow.f64 (.f64 y (.f64 z (*.f64 z y))) #s(literal 1 binary64)))
(.f64 (.f64 z z) (.f64 y (.f64 z (*.f64 z y))))
(.f64 (.f64 z z) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(.f64 (.f64 z y) (pow.f64 (.f64 z (.f64 z (*.f64 z y))) #s(literal 1 binary64)))
(.f64 (.f64 z y) (pow.f64 (pow.f64 (.f64 z (.f64 z (*.f64 z y))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 z y) (pow.f64 (.f64 (sqrt.f64 z) (.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))
(.f64 (.f64 z y) (.f64 z (.f64 z (*.f64 z y))))
(.f64 y (pow.f64 (pow.f64 (.f64 z (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 y (pow.f64 (.f64 z (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (log.f64 z) #s(literal 2 binary64) (log.f64 y)))
(pow.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 z)) #s(literal 8 binary64))
(pow.f64 (.f64 (neg.f64 y) (.f64 z z)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 8 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))
(pow.f64 (.f64 z (.f64 z y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 8 binary64)))
(exp.f64 (fma.f64 (log.f64 (.f64 z y)) #s(literal 2 binary64) (.f64 (log.f64 z) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (.f64 (log.f64 (.f64 z y)) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 (*.f64 z (sqrt.f64 y)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 z (sqrt.f64 y)) #s(literal 8 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 z (sqrt.f64 y))) #s(literal 4 binary64)))
(exp.f64 (.f64 #s(literal 4 binary64) (log.f64 (.f64 z (sqrt.f64 y)))))

eval80.0ms (1.8%)

Memory: 17.3MiB live, 93.4MiB allocated
Compiler: Compiled 22 084 to 1 919 computations (91.3% saved)

prune26.0ms (0.6%)

Memory

-35.1MiB live, 43.6MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	655	6	661
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	658	9	667

Accuracy

100.0%

Counts

667 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.8%	(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (.f64 z (sqrt.f64 y))) (sqrt.f64 (*.f64 z (sqrt.f64 y)))) x)
▶	44.8%	(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) z) x)
▶	52.2%	(fma.f64 (.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (*.f64 z y))) z x)
✓	93.3%	(fma.f64 (*.f64 z z) y x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
▶	21.6%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 (.f64 z y))) (sqrt.f64 z)))
▶	21.6%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
✓	45.9%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
▶	51.4%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))

Compiler

Compiled 215 to 143 computations (33.5% saved)

simplify7.0ms (0.2%)

Memory

10.6MiB live, 10.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (.f64 z y) z)
cost-diff	1600	(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) z) x)
cost-diff	6016	(pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 z (sqrt.f64 y))
cost-diff	0	(.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 (*.f64 z y)))
cost-diff	0	(.f64 (.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 (.f64 z y))) (sqrt.f64 z))
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 (.f64 z y))) (sqrt.f64 z)))
cost-diff	0	(sqrt.f64 y)
cost-diff	0	(*.f64 z (sqrt.f64 y))
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
cost-diff	1600	(.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
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	(sqrt.f64 (*.f64 z y))
cost-diff	0	(fma.f64 (.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (*.f64 z y))) z x)
cost-diff	1920	(.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (*.f64 z y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	184
0	40	159
1	70	159
2	110	157
3	144	157
4	157	154
5	167	154
6	178	154
7	179	154
0	179	153

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(fma.f64 (.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (*.f64 z y))) z x)
(fma.f64 (*.f64 y z) z x)
(.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (*.f64 z y)))
(*.f64 y z)
(sqrt.f64 (*.f64 z y))
(sqrt.f64 (*.f64 y z))
(*.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
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))
(.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
(.f64 (.f64 y z) z)
(*.f64 z (sqrt.f64 y))
(*.f64 (sqrt.f64 y) z)
z
(sqrt.f64 y)
y
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 (.f64 z y))) (sqrt.f64 z)))
#s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 y) z) (sqrt.f64 (.f64 y z)))))
(.f64 (.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 (.f64 z y))) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 y) z) (sqrt.f64 (.f64 y z))))
(.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 (*.f64 z y)))
(.f64 (.f64 (sqrt.f64 y) z) (sqrt.f64 (*.f64 y z)))
(*.f64 z (sqrt.f64 y))
(*.f64 (sqrt.f64 y) z)
z
(sqrt.f64 y)
y
(sqrt.f64 (*.f64 z y))
(sqrt.f64 (*.f64 y z))
(*.f64 z y)
(*.f64 y z)
(sqrt.f64 z)
(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) z) x)
(fma.f64 (*.f64 (fabs.f64 z) z) y x)
(pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 z) (sqrt.f64 y))
(.f64 (.f64 z y) z)
(.f64 (.f64 y z) z)
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 y) z)
(sqrt.f64 y)
x

localize64.0ms (1.4%)

Memory

-3.5MiB live, 114.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.06478500976844201	(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) z) x)
accuracy	0.07421875	(.f64 (.f64 z y) z)
accuracy	0.10546875	(*.f64 (sqrt.f64 y) z)
accuracy	9.92269737900261	(pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64))
accuracy	0.10384750976844201	(.f64 (.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 (.f64 z y))) (sqrt.f64 z))
accuracy	0.10546875	(*.f64 z (sqrt.f64 y))
accuracy	6.6119345802460865	(sqrt.f64 (*.f64 z y))
accuracy	14.876484907550937	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 (.f64 z y))) (sqrt.f64 z)))
accuracy	0.0	(sqrt.f64 y)
accuracy	0.10546875	(*.f64 z (sqrt.f64 y))
accuracy	0.11851503907376808	(.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
accuracy	14.876484907550937	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
accuracy	0.0	(*.f64 z y)
accuracy	0.07421875	(.f64 (.f64 z y) z)
accuracy	14.876484907550937	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))
accuracy	0.0	(*.f64 z y)
accuracy	0.04296875	(fma.f64 (.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (*.f64 z y))) z x)
accuracy	0.16863251953688402	(.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (*.f64 z y)))
accuracy	6.6119345802460865	(sqrt.f64 (*.f64 z y))

Samples

23.0ms	141×	0	invalid
20.0ms	115×	0	valid

Compiler

Compiled 343 to 49 computations (85.7% saved)

Precisions

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

ival-mult: 17.0ms (61.4% of total)

ival-sqrt: 6.0ms (21.7% of total)

ival-add: 5.0ms (18.1% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.5%)

Memory

5.8MiB live, 44.5MiB allocated

Counts

16 → 24

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	z	@	inf	((* (sqrt (* z y)) (sqrt (* z y))) (+ (* (* (sqrt (* z y)) (sqrt (* z y))) z) x) (sqrt (* z y)) (* z y) (+ x (* (* y z) z)) (* (* z y) z) (* (* z (sqrt y)) (* z (sqrt y))) (+ x (* (* y z) z)) (* z (sqrt y)) (sqrt y) (+ x (* (* y z) z)) (* (* (* z (sqrt y)) (sqrt (* z y))) (sqrt z)) (* (* z (sqrt y)) (sqrt (* z y))) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (* (sqrt y) z)) x) (* (sqrt y) z))
5.0ms	z	@	-inf	((* (sqrt (* z y)) (sqrt (* z y))) (+ (* (* (sqrt (* z y)) (sqrt (* z y))) z) x) (sqrt (* z y)) (* z y) (+ x (* (* y z) z)) (* (* z y) z) (* (* z (sqrt y)) (* z (sqrt y))) (+ x (* (* y z) z)) (* z (sqrt y)) (sqrt y) (+ x (* (* y z) z)) (* (* (* z (sqrt y)) (sqrt (* z y))) (sqrt z)) (* (* z (sqrt y)) (sqrt (* z y))) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (* (sqrt y) z)) x) (* (sqrt y) z))
5.0ms	y	@	-inf	((* (sqrt (* z y)) (sqrt (* z y))) (+ (* (* (sqrt (* z y)) (sqrt (* z y))) z) x) (sqrt (* z y)) (* z y) (+ x (* (* y z) z)) (* (* z y) z) (* (* z (sqrt y)) (* z (sqrt y))) (+ x (* (* y z) z)) (* z (sqrt y)) (sqrt y) (+ x (* (* y z) z)) (* (* (* z (sqrt y)) (sqrt (* z y))) (sqrt z)) (* (* z (sqrt y)) (sqrt (* z y))) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (* (sqrt y) z)) x) (* (sqrt y) z))
2.0ms	y	@	0	((* (sqrt (* z y)) (sqrt (* z y))) (+ (* (* (sqrt (* z y)) (sqrt (* z y))) z) x) (sqrt (* z y)) (* z y) (+ x (* (* y z) z)) (* (* z y) z) (* (* z (sqrt y)) (* z (sqrt y))) (+ x (* (* y z) z)) (* z (sqrt y)) (sqrt y) (+ x (* (* y z) z)) (* (* (* z (sqrt y)) (sqrt (* z y))) (sqrt z)) (* (* z (sqrt y)) (sqrt (* z y))) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (* (sqrt y) z)) x) (* (sqrt y) z))
2.0ms	z	@	0	((* (sqrt (* z y)) (sqrt (* z y))) (+ (* (* (sqrt (* z y)) (sqrt (* z y))) z) x) (sqrt (* z y)) (* z y) (+ x (* (* y z) z)) (* (* z y) z) (* (* z (sqrt y)) (* z (sqrt y))) (+ x (* (* y z) z)) (* z (sqrt y)) (sqrt y) (+ x (* (* y z) z)) (* (* (* z (sqrt y)) (sqrt (* z y))) (sqrt z)) (* (* z (sqrt y)) (sqrt (* z y))) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (* (sqrt y) z)) x) (* (sqrt y) z))

simplify111.0ms (2.5%)

Memory

-3.3MiB live, 123.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	128
1	189	127
2	582	127
3	1559	123
4	4129	123
5	6311	123
0	8106	115

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 23

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)
(sqrt (* y z))
(* (sqrt y) z)
(sqrt y)
(* y (sqrt (pow z 3)))
(* y (+ (/ x y) (pow z 2)))
(* -1 (* y (* z (pow (sqrt -1) 2))))
(* -1 (* y (* (pow z 2) (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (/ x y)) (* (pow z 2) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* (sqrt y) (* z (pow (sqrt -1) 2))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (pow z 3))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (+ (* -1 (* y (pow (sqrt -1) 2))) (/ x (pow z 2))))
(* -1 (* (sqrt y) z))
(* -1 (* y (pow z 2)))
(* (pow z 2) (+ (* -1 y) (/ x (pow z 2))))

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

rewrite169.0ms (3.7%)

Memory

22.6MiB live, 253.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	143
0	40	96
1	130	93
2	701	92
3	6038	92
0	8107	92

Stop Event

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

Counts

16 → 767

Calls

Call 1

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

Outputs
(.f64 (.f64 (*.f64 (sqrt.f64 z) y) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 y) z) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 y) (pow.f64 (.f64 y z) #s(literal 1/4 binary64))) (pow.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (.f64 y z)) (pow.f64 (.f64 y z) #s(literal 1/4 binary64))) (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)))
(.f64 (fabs.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z))) (fabs.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (.f64 y z)))))
(.f64 (fabs.f64 (sqrt.f64 z)) (fabs.f64 (.f64 (sqrt.f64 z) y)))
(.f64 (pow.f64 (.f64 y z) #s(literal 3/4 binary64)) (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 (sqrt.f64 y) z)))
(.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (.f64 y z)))))
(.f64 (pow.f64 (.f64 y z) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (.f64 y z)))))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (sqrt.f64 z) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (.f64 y z)))))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) z)))
(.f64 (pow.f64 (.f64 y z) #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y z)))))
(.f64 (pow.f64 (.f64 y z) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 1/4 binary64)) (sqrt.f64 y)))
(.f64 (pow.f64 (.f64 y z) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y z))))
(.f64 (pow.f64 (.f64 y z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y z) #s(literal 3/4 binary64)))
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 y z) #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y z)))))
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 z) y)))
(.f64 (.f64 (sqrt.f64 z) y) (sqrt.f64 z))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (pow.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (.f64 y z))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (.f64 y z))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) y))
(.f64 (.f64 (sqrt.f64 y) z) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) z))
(.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (*.f64 y z)))
(*.f64 y z)
(*.f64 z y)
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) z))
(fabs.f64 (*.f64 y z))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 y z))) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y z) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y z)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (*.f64 y z))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 y z)))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) (-.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 (.f64 y z) z x) (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 6 binary64)))) (fma.f64 x (fma.f64 (.f64 y z) z x) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))))
(.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 (.f64 (sqrt.f64 y) z) #s(literal 8 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 (.f64 y z) z)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64)) (.f64 (-.f64 x (.f64 (*.f64 y z) z)) 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))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 (.f64 y z) z)) x) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 x (.f64 (.f64 y z) z)) x) (-.f64 (.f64 (-.f64 x (.f64 (.f64 y z) z)) x) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 8 binary64))))
(.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)) (pow.f64 (.f64 (.f64 z z) (.f64 y (-.f64 (.f64 (.f64 y z) z) x))) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (.f64 z z) (.f64 y (-.f64 (.f64 (.f64 y z) z) 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))) (fma.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 (.f64 y z) z) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 z z) (.f64 y (-.f64 (.f64 (.f64 y z) z) x))) (-.f64 (.f64 (.f64 z z) (.f64 y (-.f64 (.f64 (.f64 y z) z) x))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) (-.f64 (.f64 x x) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64)))) (fma.f64 (.f64 y z) z x))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64)))) (fma.f64 (.f64 y z) z x))
(.f64 (pow.f64 (-.f64 (.f64 (.f64 y z) z) x) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))))
(.f64 (pow.f64 (-.f64 x (.f64 (.f64 y z) z)) #s(literal -1 binary64)) (-.f64 (.f64 x x) (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 4 binary64))))
(.f64 (pow.f64 (fma.f64 (-.f64 x (.f64 (.f64 y z) z)) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) #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 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64)))) (pow.f64 (neg.f64 (-.f64 (.f64 (.f64 y z) z) x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64)))) (pow.f64 (neg.f64 (-.f64 x (.f64 (*.f64 y z) z))) #s(literal -1 binary64)))
(.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)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 x (.f64 (.f64 y z) z)) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x))
(.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) (pow.f64 (-.f64 (.f64 (.f64 y z) z) x) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) (pow.f64 (-.f64 x (.f64 (*.f64 y z) z)) #s(literal -1 binary64)))
(.f64 (fma.f64 (-.f64 x (.f64 (.f64 y z) z)) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 y z) z x) (fma.f64 (-.f64 x (.f64 (.f64 y z) z)) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64)))))
(.f64 (fma.f64 (-.f64 x (.f64 (.f64 y z) z)) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) (.f64 (fma.f64 (.f64 y z) z x) (pow.f64 (fma.f64 (-.f64 x (.f64 (.f64 y z) z)) x (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) #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 x (.f64 (.f64 y z) z)) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 y z) z x) (/.f64 (-.f64 (.f64 (.f64 y z) z) x) (-.f64 (.f64 (.f64 y z) z) x)))
(.f64 (fma.f64 (.f64 y z) z x) (/.f64 (-.f64 x (.f64 (.f64 y z) z)) (-.f64 x (.f64 (.f64 y z) z))))
(.f64 (fma.f64 (.f64 y z) z x) (.f64 (-.f64 (.f64 (.f64 y z) z) x) (pow.f64 (-.f64 (.f64 (*.f64 y z) z) x) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 y z) z x) (.f64 (-.f64 x (.f64 (.f64 y z) z)) (pow.f64 (-.f64 x (.f64 (*.f64 y z) z)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 (.f64 (.f64 y z) z) x) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 (.f64 (.f64 y z) z) x) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (fma.f64 x x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 8 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 8 binary64))) (pow.f64 (-.f64 x (.f64 (.f64 y z) z)) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 12 binary64))) (pow.f64 (-.f64 x (.f64 (.f64 y z) z)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 12 binary64))) (pow.f64 (fma.f64 (-.f64 x (.f64 (.f64 y z) z)) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 6 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 x (.f64 (.f64 y z) z)) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 z #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 x (.f64 (.f64 y z) z)) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 z #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 x (.f64 (.f64 y z) z)) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (*.f64 y z) z) x) #s(literal 3 binary64)))))
(/.f64 (.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 y z) z) x))
(/.f64 (.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 x (.f64 (*.f64 y z) 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))) #s(literal 1 binary64)) (fma.f64 (-.f64 x (.f64 (.f64 y z) z)) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 y z) z) x)) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y z) z) x))) #s(literal 2 binary64))) (fma.f64 (.f64 y y) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 (.f64 y z) z) x)) (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y z) z) x)))))
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(fma.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (.f64 y z)) (/.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) y) (-.f64 (.f64 (.f64 y z) z) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y z) z) x)))))
(fma.f64 (.f64 z (pow.f64 (.f64 y z) #s(literal 3/2 binary64))) (/.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (-.f64 (.f64 (.f64 y z) z) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y z) z) x)))))
(fma.f64 (.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) y) y) (/.f64 z (-.f64 (.f64 (.f64 y z) z) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y z) z) x)))))
(fma.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) y) (/.f64 (.f64 y z) (-.f64 (.f64 (.f64 y z) z) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y z) z) x)))))
(fma.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)))) x)
(fma.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 3 binary64)) (/.f64 (.f64 (sqrt.f64 y) z) (-.f64 (.f64 (.f64 y z) z) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y z) z) x)))))
(fma.f64 (.f64 y y) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 (.f64 y z) z) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y z) z) x)))))
(fma.f64 (pow.f64 (.f64 y z) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)))) x)
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (sqrt.f64 z) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)))) x)
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (*.f64 (sqrt.f64 y) z) z)) x)
(fma.f64 (pow.f64 (.f64 y z) #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)))) x)
(fma.f64 (pow.f64 (.f64 y z) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 y) z)) x)
(fma.f64 (pow.f64 (.f64 y z) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 y z) #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y))) x)
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 y z) #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)))) x)
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 3/2 binary64)) y)) x)
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 z) y) x)
(fma.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (.f64 y z)) x)
(fma.f64 (*.f64 (sqrt.f64 z) y) (pow.f64 z #s(literal 3/2 binary64)) x)
(fma.f64 (.f64 (.f64 (sqrt.f64 y) z) z) (sqrt.f64 y) x)
(fma.f64 (.f64 z z) (/.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y z) z) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y z) z) x)))))
(fma.f64 (*.f64 z z) y x)
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y))) x)
(fma.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 (.f64 y z) z) x) #s(literal -1 binary64)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y z) z) x)))))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x (.f64 (.f64 y z) z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64)) (-.f64 x (.f64 (.f64 y z) z)))))
(fma.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (/.f64 (.f64 z z) (-.f64 (.f64 (.f64 y z) z) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y z) z) x)))))
(fma.f64 (sqrt.f64 z) (/.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 y z) z) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y z) z) x)))))
(fma.f64 (sqrt.f64 z) (*.f64 (pow.f64 z #s(literal 3/2 binary64)) y) x)
(fma.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) y) (/.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (.f64 y z)) (-.f64 (.f64 (.f64 y z) z) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y z) z) x)))))
(fma.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) y) (sqrt.f64 z) x)
(fma.f64 (.f64 (sqrt.f64 y) z) (/.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 3 binary64)) (-.f64 (.f64 (.f64 y z) z) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y z) z) x)))))
(fma.f64 (.f64 (sqrt.f64 y) z) (.f64 (sqrt.f64 y) z) x)
(fma.f64 (sqrt.f64 y) (.f64 (.f64 (sqrt.f64 y) z) z) x)
(fma.f64 (.f64 (.f64 y z) z) (/.f64 (.f64 (.f64 y z) z) (-.f64 (.f64 (.f64 y z) z) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y z) z) x)))))
(fma.f64 x (/.f64 x (-.f64 x (.f64 (.f64 y z) z))) (neg.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64)) (-.f64 x (.f64 (*.f64 y z) z)))))
(fma.f64 (sqrt.f64 (.f64 y z)) (/.f64 (.f64 (.f64 z (pow.f64 (.f64 y z) #s(literal 3/2 binary64))) z) (-.f64 (.f64 (.f64 y z) z) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y z) z) x)))))
(fma.f64 (sqrt.f64 (.f64 y z)) (pow.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
(fma.f64 (sqrt.f64 (.f64 y z)) (exp.f64 (log.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)))) x)
(fma.f64 (sqrt.f64 (.f64 y z)) (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) x)
(fma.f64 (.f64 y z) (/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) y) (-.f64 (.f64 (.f64 y z) z) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y z) z) x)))))
(fma.f64 (*.f64 y z) z x)
(fma.f64 y (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) (-.f64 (.f64 (.f64 y z) z) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y z) z) x)))))
(fma.f64 y (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z))) x)
(fma.f64 y (*.f64 z z) x)
(fma.f64 z (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) y) y) (-.f64 (.f64 (.f64 y z) z) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 y z) z) x)))))
(fma.f64 z (*.f64 y z) x)
(-.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 y z) z) x)) (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y z) z) x))))
(-.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 y z) z)))) (/.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64)) (-.f64 x (.f64 (.f64 y z) z))))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 y z) z x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 y z) z) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 y z) z) x)))))
(+.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 y z) z)))) (neg.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64)) (-.f64 x (.f64 (.f64 y z) z)))))
(+.f64 (.f64 (.f64 y z) z) x)
(+.f64 x (.f64 (.f64 y z) z))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3/2 binary64) (log.f64 z))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (sqrt.f64 z) y))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y))))) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/2 binary64) (log.f64 z) (log.f64 y))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 z))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 z))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/2 binary64) (log.f64 z) (log.f64 y))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 (sqrt.f64 y)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 y))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 y))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 (sqrt.f64 y)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 (*.f64 y z)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 (.f64 y z)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (log.f64 z))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 y)))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 y)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (log.f64 z))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 y z))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 z)))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 z)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 y z))))
(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (pow.f64 (.f64 y z) #s(literal 1/8 binary64))) (pow.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (pow.f64 (.f64 y z) #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 (.f64 y z) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(.f64 (.f64 z (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (.f64 y z)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) y) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 z (pow.f64 (.f64 y z) #s(literal 3/2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) y)) (pow.f64 z #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 3/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(.f64 (pow.f64 z #s(literal 1/8 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) y) #s(literal 1/4 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (.f64 y z)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 z #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 z) y)))
(.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y))))))
(.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 y) z))))
(.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 3/4 binary64)))
(.f64 (pow.f64 (.f64 y z) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 y) z))))
(.f64 (pow.f64 (.f64 y z) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 z (pow.f64 (*.f64 y z) #s(literal 3/2 binary64))) z) #s(literal 1/4 binary64)))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (sqrt.f64 y) z))))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) z))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 y z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 1/4 binary64)))
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 y) z))))
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y z))))
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) y)))
(.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (sqrt.f64 (*.f64 (sqrt.f64 y) z)))
(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 y z)))
(*.f64 (sqrt.f64 y) z)
(.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 z))
(*.f64 z (sqrt.f64 y))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 (*.f64 (sqrt.f64 y) z)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 y)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 y)))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 8 binary64)) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 y) z)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 y z) z) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (.f64 y z) z))
(fabs.f64 (*.f64 (sqrt.f64 y) z))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 y))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 (*.f64 (sqrt.f64 y) z))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 y) z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 y) z)))

eval89.0ms (2%)

Memory: 3.8MiB live, 121.6MiB allocated
Compiler: Compiled 14 674 to 1 748 computations (88.1% saved)

prune17.0ms (0.4%)

Memory

11.4MiB live, 48.0MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	632	6	638
Fresh	1	0	1
Picked	2	3	5
Done	0	3	3
Total	635	12	647

Accuracy

100.0%

Counts

647 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.8%	(fma.f64 (.f64 (.f64 (sqrt.f64 y) z) (sqrt.f64 y)) z x)
✓	52.2%	(fma.f64 (.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (*.f64 z y))) z x)
✓	93.3%	(fma.f64 (*.f64 z z) y x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
▶	49.5%	#s(approx (+ x (* (* y z) z)) (.f64 (pow.f64 z #s(literal 3/2 binary64)) (.f64 (sqrt.f64 z) y)))
▶	51.3%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z)))
▶	21.6%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (sqrt.f64 (.f64 (sqrt.f64 y) z))) (*.f64 z (sqrt.f64 y))))
	21.6%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 (.f64 (sqrt.f64 y) z))) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y z)))))
✓	21.6%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
▶	21.6%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 (.f64 (.f64 y z) z))))
✓	45.9%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
✓	51.4%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))

Compiler

Compiled 287 to 191 computations (33.4% saved)

simplify10.0ms (0.2%)

Memory

-30.8MiB live, 7.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (sqrt.f64 z) y)
cost-diff	0	(pow.f64 z #s(literal 3/2 binary64))
cost-diff	0	(.f64 (pow.f64 z #s(literal 3/2 binary64)) (.f64 (sqrt.f64 z) y))
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (pow.f64 z #s(literal 3/2 binary64)) (.f64 (sqrt.f64 z) y)))
cost-diff	0	(sqrt.f64 (*.f64 (sqrt.f64 y) z))
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (sqrt.f64 (.f64 (sqrt.f64 y) z))) (*.f64 z (sqrt.f64 y))))
cost-diff	1600	(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (sqrt.f64 (.f64 (sqrt.f64 y) z))) (*.f64 z (sqrt.f64 y)))
cost-diff	2560	(.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (sqrt.f64 (*.f64 (sqrt.f64 y) z)))
cost-diff	0	(*.f64 z (sqrt.f64 y))
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 (.f64 (.f64 y z) z))))
cost-diff	320	(sqrt.f64 (.f64 (.f64 y z) z))
cost-diff	1600	(.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 (.f64 (.f64 y z) z)))
cost-diff	0	(sqrt.f64 y)
cost-diff	0	(*.f64 (sqrt.f64 y) z)
cost-diff	0	(fma.f64 (.f64 (.f64 (sqrt.f64 y) z) (sqrt.f64 y)) z x)
cost-diff	1600	(.f64 (.f64 (sqrt.f64 y) z) (sqrt.f64 y))
cost-diff	0	(*.f64 (sqrt.f64 z) y)
cost-diff	0	(.f64 (.f64 (sqrt.f64 z) y) z)
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z)))
cost-diff	1600	(.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	222
0	48	203
1	81	203
2	140	159
3	170	159
4	230	159
5	343	159
6	343	159
0	343	159

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z)))
(.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 z) y) z)
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
z
y
(fma.f64 (.f64 (.f64 (sqrt.f64 y) z) (sqrt.f64 y)) z x)
(.f64 (.f64 (sqrt.f64 y) z) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) z)
(sqrt.f64 y)
y
z
x
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 (.f64 (.f64 y z) z))))
(.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 (.f64 (.f64 y z) z)))
(*.f64 z (sqrt.f64 y))
z
(sqrt.f64 y)
y
(sqrt.f64 (.f64 (.f64 y z) z))
(.f64 (.f64 y z) z)
(*.f64 y z)
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (sqrt.f64 (.f64 (sqrt.f64 y) z))) (*.f64 z (sqrt.f64 y))))
(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (sqrt.f64 (.f64 (sqrt.f64 y) z))) (*.f64 z (sqrt.f64 y)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (sqrt.f64 (*.f64 (sqrt.f64 y) z)))
(sqrt.f64 (*.f64 (sqrt.f64 y) z))
(*.f64 (sqrt.f64 y) z)
(sqrt.f64 y)
y
z
(*.f64 z (sqrt.f64 y))
#s(approx (+ x (* (* y z) z)) (.f64 (pow.f64 z #s(literal 3/2 binary64)) (.f64 (sqrt.f64 z) y)))
(.f64 (pow.f64 z #s(literal 3/2 binary64)) (.f64 (sqrt.f64 z) y))
(pow.f64 z #s(literal 3/2 binary64))
z
#s(literal 3/2 binary64)
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
y

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

localize81.0ms (1.8%)

Memory

-3.1MiB live, 120.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 z)
accuracy	0.1171875	(*.f64 (sqrt.f64 z) y)
accuracy	0.706314490788192	(.f64 (pow.f64 z #s(literal 3/2 binary64)) (.f64 (sqrt.f64 z) y))
accuracy	14.876484907550937	#s(approx (+ x (* (* y z) z)) (.f64 (pow.f64 z #s(literal 3/2 binary64)) (.f64 (sqrt.f64 z) y)))
accuracy	0.11851503907376808	(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (sqrt.f64 (.f64 (sqrt.f64 y) z))) (*.f64 z (sqrt.f64 y)))
accuracy	0.19759750976844204	(.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (sqrt.f64 (*.f64 (sqrt.f64 y) z)))
accuracy	3.2124660841383816	(sqrt.f64 (*.f64 (sqrt.f64 y) z))
accuracy	14.876484907550937	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (sqrt.f64 (.f64 (sqrt.f64 y) z))) (*.f64 z (sqrt.f64 y))))
accuracy	0.10546875	(*.f64 z (sqrt.f64 y))
accuracy	0.11851503907376808	(.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 (.f64 (.f64 y z) z)))
accuracy	9.92269737900261	(sqrt.f64 (.f64 (.f64 y z) z))
accuracy	14.876484907550937	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 (.f64 (.f64 y z) z))))
accuracy	0.0	(sqrt.f64 y)
accuracy	0.04296875	(fma.f64 (.f64 (.f64 (sqrt.f64 y) z) (sqrt.f64 y)) z x)
accuracy	0.10546875	(*.f64 (sqrt.f64 y) z)
accuracy	0.1171875	(.f64 (.f64 (sqrt.f64 y) z) (sqrt.f64 y))
accuracy	0.0625	(.f64 (.f64 (sqrt.f64 z) y) z)
accuracy	0.10384750976844201	(.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z))
accuracy	0.1171875	(*.f64 (sqrt.f64 z) y)
accuracy	14.876484907550937	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z)))

Samples

26.0ms	141×	0	invalid
25.0ms	115×	0	valid

Compiler

Compiled 399 to 55 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 19.0ms (56.1% of total)

ival-sqrt: 6.0ms (17.7% of total)

ival-pow: 6.0ms (17.7% of total)

ival-add: 2.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

series139.0ms (3.1%)

Memory

24.0MiB live, 175.3MiB allocated

Counts

20 → 30

Calls

Call 1

Inputs
(.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z))
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 z) y) z)
(*.f64 (sqrt.f64 z) y)
(.f64 (.f64 (sqrt.f64 y) z) (sqrt.f64 y))
(fma.f64 (.f64 (.f64 (sqrt.f64 y) z) (sqrt.f64 y)) z x)
(*.f64 (sqrt.f64 y) z)
(sqrt.f64 y)
(.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 (.f64 (.f64 y z) z)))
(sqrt.f64 (.f64 (.f64 y z) z))
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 (.f64 (.f64 y z) z))))
(*.f64 z (sqrt.f64 y))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (sqrt.f64 (*.f64 (sqrt.f64 y) z)))
(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (sqrt.f64 (.f64 (sqrt.f64 y) z))) (*.f64 z (sqrt.f64 y)))
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (sqrt.f64 (.f64 (sqrt.f64 y) z))) (*.f64 z (sqrt.f64 y))))
(sqrt.f64 (*.f64 (sqrt.f64 y) z))
#s(approx (+ x (* (* y z) z)) (.f64 (pow.f64 z #s(literal 3/2 binary64)) (.f64 (sqrt.f64 z) y)))
(.f64 (pow.f64 z #s(literal 3/2 binary64)) (.f64 (sqrt.f64 z) y))
(pow.f64 z #s(literal 3/2 binary64))
(sqrt.f64 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 (sqrt (pow z 3)))
(* y (sqrt z))
(* y z)
(* (sqrt y) z)
(sqrt y)
(* (pow (* 1 y) 1/4) (sqrt z))
(* y (+ (/ x y) (pow z 2)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* y (* z (pow (sqrt -1) 2))))
(* -1 (* y (* (pow z 2) (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (/ x y)) (* (pow z 2) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt y) (* z (pow (sqrt -1) 2))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* (pow (* -1 y) 1/4) (sqrt (* z (sqrt -1))))
(sqrt (pow z 3))
(sqrt z)
(* (pow z 2) (+ y (/ x (pow z 2))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (pow z 3))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* y (pow z 2)))
(* -1 (* (sqrt y) z))
(* -1 (* (pow (* 1 y) 1/4) (* (sqrt z) (pow (sqrt -1) 2))))
(* y (* (pow z 2) (pow (sqrt -1) 2)))
(* (sqrt (pow z 3)) (pow (sqrt -1) 2))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))

Calls

9 calls:

Time	Variable		Point	Expression
53.0ms	y	@	0	((* (* (* (sqrt z) y) z) (sqrt z)) (+ x (* (* y z) z)) (* (* (sqrt z) y) z) (* (sqrt z) y) (* (* (sqrt y) z) (sqrt y)) (+ (* (* (* (sqrt y) z) (sqrt y)) z) x) (* (sqrt y) z) (sqrt y) (* (* z (sqrt y)) (sqrt (* (* y z) z))) (sqrt (* (* y z) z)) (+ x (* (* y z) z)) (* z (sqrt y)) (* (sqrt (* (sqrt y) z)) (sqrt (* (sqrt y) z))) (* (* (sqrt (* (sqrt y) z)) (sqrt (* (sqrt y) z))) (* z (sqrt y))) (+ x (* (* y z) z)) (sqrt (* (sqrt y) z)) (+ x (* (* y z) z)) (* (pow z 3/2) (* (sqrt z) y)) (pow z 3/2) (sqrt z))
31.0ms	y	@	-inf	((* (* (* (sqrt z) y) z) (sqrt z)) (+ x (* (* y z) z)) (* (* (sqrt z) y) z) (* (sqrt z) y) (* (* (sqrt y) z) (sqrt y)) (+ (* (* (* (sqrt y) z) (sqrt y)) z) x) (* (sqrt y) z) (sqrt y) (* (* z (sqrt y)) (sqrt (* (* y z) z))) (sqrt (* (* y z) z)) (+ x (* (* y z) z)) (* z (sqrt y)) (* (sqrt (* (sqrt y) z)) (sqrt (* (sqrt y) z))) (* (* (sqrt (* (sqrt y) z)) (sqrt (* (sqrt y) z))) (* z (sqrt y))) (+ x (* (* y z) z)) (sqrt (* (sqrt y) z)) (+ x (* (* y z) z)) (* (pow z 3/2) (* (sqrt z) y)) (pow z 3/2) (sqrt z))
20.0ms	z	@	0	((* (* (* (sqrt z) y) z) (sqrt z)) (+ x (* (* y z) z)) (* (* (sqrt z) y) z) (* (sqrt z) y) (* (* (sqrt y) z) (sqrt y)) (+ (* (* (* (sqrt y) z) (sqrt y)) z) x) (* (sqrt y) z) (sqrt y) (* (* z (sqrt y)) (sqrt (* (* y z) z))) (sqrt (* (* y z) z)) (+ x (* (* y z) z)) (* z (sqrt y)) (* (sqrt (* (sqrt y) z)) (sqrt (* (sqrt y) z))) (* (* (sqrt (* (sqrt y) z)) (sqrt (* (sqrt y) z))) (* z (sqrt y))) (+ x (* (* y z) z)) (sqrt (* (sqrt y) z)) (+ x (* (* y z) z)) (* (pow z 3/2) (* (sqrt z) y)) (pow z 3/2) (sqrt z))
16.0ms	z	@	-inf	((* (* (* (sqrt z) y) z) (sqrt z)) (+ x (* (* y z) z)) (* (* (sqrt z) y) z) (* (sqrt z) y) (* (* (sqrt y) z) (sqrt y)) (+ (* (* (* (sqrt y) z) (sqrt y)) z) x) (* (sqrt y) z) (sqrt y) (* (* z (sqrt y)) (sqrt (* (* y z) z))) (sqrt (* (* y z) z)) (+ x (* (* y z) z)) (* z (sqrt y)) (* (sqrt (* (sqrt y) z)) (sqrt (* (sqrt y) z))) (* (* (sqrt (* (sqrt y) z)) (sqrt (* (sqrt y) z))) (* z (sqrt y))) (+ x (* (* y z) z)) (sqrt (* (sqrt y) z)) (+ x (* (* y z) z)) (* (pow z 3/2) (* (sqrt z) y)) (pow z 3/2) (sqrt z))
8.0ms	z	@	inf	((* (* (* (sqrt z) y) z) (sqrt z)) (+ x (* (* y z) z)) (* (* (sqrt z) y) z) (* (sqrt z) y) (* (* (sqrt y) z) (sqrt y)) (+ (* (* (* (sqrt y) z) (sqrt y)) z) x) (* (sqrt y) z) (sqrt y) (* (* z (sqrt y)) (sqrt (* (* y z) z))) (sqrt (* (* y z) z)) (+ x (* (* y z) z)) (* z (sqrt y)) (* (sqrt (* (sqrt y) z)) (sqrt (* (sqrt y) z))) (* (* (sqrt (* (sqrt y) z)) (sqrt (* (sqrt y) z))) (* z (sqrt y))) (+ x (* (* y z) z)) (sqrt (* (sqrt y) z)) (+ x (* (* y z) z)) (* (pow z 3/2) (* (sqrt z) y)) (pow z 3/2) (sqrt z))

simplify100.0ms (2.2%)

Memory

-7.4MiB live, 116.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	162
1	203	151
2	700	150
3	1904	150
4	4601	150
5	6643	150
0	8159	143

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 29

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 (sqrt (pow z 3)))
(* y (sqrt z))
(* y z)
(* (sqrt y) z)
(sqrt y)
(* (pow (* 1 y) 1/4) (sqrt z))
(* y (+ (/ x y) (pow z 2)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* y (* z (pow (sqrt -1) 2))))
(* -1 (* y (* (pow z 2) (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (/ x y)) (* (pow z 2) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt y) (* z (pow (sqrt -1) 2))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* (pow (* -1 y) 1/4) (sqrt (* z (sqrt -1))))
(sqrt (pow z 3))
(sqrt z)
(* (pow z 2) (+ y (/ x (pow z 2))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (pow z 3))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* y (pow z 2)))
(* -1 (* (sqrt y) z))
(* -1 (* (pow (* 1 y) 1/4) (* (sqrt z) (pow (sqrt -1) 2))))
(* y (* (pow z 2) (pow (sqrt -1) 2)))
(* (sqrt (pow z 3)) (pow (sqrt -1) 2))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))

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

rewrite308.0ms (6.8%)

Memory

23.3MiB live, 215.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	184
0	48	159
1	124	157
2	585	114
3	6196	114
0	8170	114

Stop Event

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

Counts

20 → 684

Calls

Call 1

Inputs
(.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z))
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 z) y) z)
(*.f64 (sqrt.f64 z) y)
(.f64 (.f64 (sqrt.f64 y) z) (sqrt.f64 y))
(fma.f64 (.f64 (.f64 (sqrt.f64 y) z) (sqrt.f64 y)) z x)
(*.f64 (sqrt.f64 y) z)
(sqrt.f64 y)
(.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 (.f64 (.f64 y z) z)))
(sqrt.f64 (.f64 (.f64 y z) z))
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 (.f64 (.f64 y z) z))))
(*.f64 z (sqrt.f64 y))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (sqrt.f64 (*.f64 (sqrt.f64 y) z)))
(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (sqrt.f64 (.f64 (sqrt.f64 y) z))) (*.f64 z (sqrt.f64 y)))
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (sqrt.f64 (.f64 (sqrt.f64 y) z))) (*.f64 z (sqrt.f64 y))))
(sqrt.f64 (*.f64 (sqrt.f64 y) z))
#s(approx (+ x (* (* y z) z)) (.f64 (pow.f64 z #s(literal 3/2 binary64)) (.f64 (sqrt.f64 z) y)))
(.f64 (pow.f64 z #s(literal 3/2 binary64)) (.f64 (sqrt.f64 z) y))
(pow.f64 z #s(literal 3/2 binary64))
(sqrt.f64 z)

Outputs
(.f64 (.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) y) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 z #s(literal 5/4 binary64)) y) (pow.f64 z #s(literal 3/8 binary64))) (pow.f64 z #s(literal 3/8 binary64)))
(.f64 (.f64 y (pow.f64 z #s(literal 3/4 binary64))) (pow.f64 z #s(literal 5/4 binary64)))
(.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 3/2 binary64)) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 z))
(.f64 (.f64 (.f64 (.f64 (sqrt.f64 y) z) z) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (sqrt.f64 y) z) (.f64 (pow.f64 y #s(literal 1/4 binary64)) z)) (pow.f64 y #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (sqrt.f64 y) z) (pow.f64 y #s(literal 1/4 binary64))) (.f64 (pow.f64 y #s(literal 1/4 binary64)) z))
(.f64 (.f64 (.f64 (sqrt.f64 y) z) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 3/4 binary64)))
(.f64 (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 5/2 binary64))) (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 3/4 binary64)))
(.f64 (sqrt.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y)) (sqrt.f64 y))
(.f64 (pow.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) z) #s(literal 2 binary64)) (sqrt.f64 y))
(.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) y) (sqrt.f64 z))
(.f64 (.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 3/2 binary64)) (sqrt.f64 z)) (pow.f64 y #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (.f64 y z)) z) (sqrt.f64 (.f64 y z)))
(.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 (.f64 y (.f64 (sqrt.f64 y) z))))
(.f64 (.f64 (pow.f64 z #s(literal 5/4 binary64)) y) (pow.f64 z #s(literal 3/4 binary64)))
(.f64 (sqrt.f64 (.f64 y (.f64 (sqrt.f64 y) z))) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(.f64 (pow.f64 z #s(literal 3/8 binary64)) (.f64 (pow.f64 z #s(literal 3/8 binary64)) (*.f64 (pow.f64 z #s(literal 5/4 binary64)) y)))
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 3/2 binary64)) y)))
(.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) z) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (sqrt.f64 y) z)))
(.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) z) (sqrt.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) (.f64 z z))))
(.f64 (sqrt.f64 (.f64 y z)) (.f64 (sqrt.f64 (.f64 y z)) z))
(.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 3/4 binary64)) (*.f64 (sqrt.f64 y) z)))
(.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 7/2 binary64))))
(.f64 (.f64 z z) y)
(.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 y) z)))
(.f64 (.f64 (*.f64 (sqrt.f64 y) z) z) (sqrt.f64 y))
(.f64 (pow.f64 z #s(literal 3/4 binary64)) (.f64 (pow.f64 z #s(literal 5/4 binary64)) y))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (.f64 (sqrt.f64 y) z) z)))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 3/2 binary64)) (sqrt.f64 z)))
(.f64 (pow.f64 z #s(literal 3/2 binary64)) (.f64 y (sqrt.f64 z)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 3/2 binary64)))
(.f64 (.f64 y z) z)
(.f64 (.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z))
(.f64 (sqrt.f64 y) (pow.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) z) #s(literal 2 binary64)))
(.f64 (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) z) z))
(.f64 (.f64 y (sqrt.f64 z)) (pow.f64 z #s(literal 3/2 binary64)))
(.f64 y (.f64 z z))
(.f64 (sqrt.f64 z) (.f64 (pow.f64 z #s(literal 3/2 binary64)) y))
(.f64 z (.f64 y z))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)) #s(literal 8 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 y z) z) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 y) z)) #s(literal 4 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 4 binary64)))
(fabs.f64 (.f64 (.f64 y z) z))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 (*.f64 (sqrt.f64 y) z))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z))) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 y) z)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 y)))
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))
(.f64 (.f64 (*.f64 y z) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(.f64 (.f64 y (pow.f64 z #s(literal 3/4 binary64))) (pow.f64 z #s(literal 3/4 binary64)))
(.f64 (.f64 (sqrt.f64 (*.f64 y z)) z) (sqrt.f64 y))
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 y z)))
(.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) z) (sqrt.f64 (.f64 y (.f64 (sqrt.f64 y) z))))
(.f64 (sqrt.f64 (.f64 y z)) (*.f64 (sqrt.f64 y) z))
(.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 3/4 binary64)) (sqrt.f64 (*.f64 y z))))
(.f64 (pow.f64 z #s(literal 3/4 binary64)) (.f64 (pow.f64 z #s(literal 3/4 binary64)) y))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) y)
(.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (sqrt.f64 (*.f64 y z))))
(.f64 (.f64 y z) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 y) z) (sqrt.f64 (*.f64 y z)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 (*.f64 y z)) z))
(.f64 (.f64 y (sqrt.f64 z)) z)
(*.f64 y (pow.f64 z #s(literal 3/2 binary64)))
(.f64 (sqrt.f64 z) (.f64 y z))
(.f64 z (.f64 y (sqrt.f64 z)))
(pow.f64 (.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) y) y) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) y) y))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) y)) #s(literal 1/2 binary64)))
(.f64 (.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
(.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 y))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (.f64 y (*.f64 (sqrt.f64 y) z))))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y z)))
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(pow.f64 (.f64 y (.f64 y z)) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 y (.f64 y z)))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 y z))) #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 (.f64 y (.f64 (sqrt.f64 y) z))) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64))) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (.f64 y (.f64 (sqrt.f64 y) z))) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 (.f64 y (.f64 (sqrt.f64 y) z))) (sqrt.f64 z)) (pow.f64 y #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 y) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) z)) (pow.f64 y #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 y) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64))) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 3/4 binary64)))
(.f64 (.f64 (*.f64 y (sqrt.f64 z)) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 y) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) z))
(.f64 (.f64 (*.f64 (sqrt.f64 y) z) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 y (.f64 (sqrt.f64 y) z))) (sqrt.f64 (.f64 (sqrt.f64 y) z)))
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 y (sqrt.f64 z))))
(.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) z) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 y)))
(.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (*.f64 y z)))
(.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 y (.f64 (sqrt.f64 y) z)))))
(.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 3/4 binary64)) (sqrt.f64 y)))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (sqrt.f64 z) (sqrt.f64 (.f64 y (.f64 (sqrt.f64 y) z)))))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) z) (sqrt.f64 y)))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) z)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (sqrt.f64 (.f64 y (.f64 (sqrt.f64 y) z))))
(.f64 (.f64 (sqrt.f64 y) z) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) z))
(.f64 (.f64 y (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 y z)
(.f64 (sqrt.f64 z) (.f64 y (sqrt.f64 z)))
(*.f64 z y)
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y z))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (*.f64 y z))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 y z)))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 6 binary64)))) (fma.f64 x (fma.f64 (.f64 z z) y x) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))))
(.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)) (pow.f64 (.f64 (.f64 z z) (.f64 y (-.f64 (.f64 (.f64 y z) z) x))) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (.f64 z z) (.f64 y (-.f64 (.f64 (.f64 y z) z) 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))) (fma.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 (.f64 y z) z) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 z z) (.f64 y (-.f64 (.f64 (.f64 y z) z) x))) (-.f64 (.f64 (.f64 z z) (.f64 y (-.f64 (.f64 (.f64 y z) z) x))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) (-.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 (.f64 z z) y x) (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 4 binary64))))
(.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 (.f64 (sqrt.f64 y) z) #s(literal 8 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 (.f64 y z) z)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64)) (.f64 (-.f64 x (.f64 (*.f64 y z) z)) 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))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 (.f64 y z) z)) x) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 x (.f64 (.f64 y z) z)) x) (-.f64 (.f64 (-.f64 x (.f64 (.f64 y z) z)) x) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 8 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) (-.f64 (.f64 x x) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64)))) (fma.f64 (.f64 z z) y x))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64)))) (fma.f64 (.f64 z z) y x))
(.f64 (pow.f64 (-.f64 (.f64 (.f64 y z) z) x) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))))
(.f64 (pow.f64 (fma.f64 (-.f64 x (.f64 (.f64 y z) z)) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) #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 (pow.f64 (-.f64 x (.f64 (.f64 y z) z)) #s(literal -1 binary64)) (-.f64 (.f64 x x) (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 4 binary64))))
(.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (.f64 y z) z) x))))
(.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (.f64 (*.f64 y z) 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) (neg.f64 (fma.f64 (-.f64 x (.f64 (.f64 y z) z)) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) y x))
(.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) (pow.f64 (-.f64 (.f64 (.f64 y z) z) x) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) (pow.f64 (-.f64 x (.f64 (*.f64 y z) z)) #s(literal -1 binary64)))
(.f64 (fma.f64 (-.f64 x (.f64 (.f64 y z) z)) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 z z) y x) (fma.f64 (-.f64 x (.f64 (.f64 y z) z)) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64)))))
(.f64 (fma.f64 (-.f64 x (.f64 (.f64 y z) z)) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) (.f64 (fma.f64 (.f64 z z) y x) (pow.f64 (fma.f64 (-.f64 x (.f64 (.f64 y z) z)) x (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) #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 x (.f64 (.f64 y z) z)) x (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 z z) y x) (/.f64 (-.f64 x (.f64 (.f64 y z) z)) (-.f64 x (.f64 (.f64 y z) z))))
(.f64 (fma.f64 (.f64 z z) y x) (/.f64 (-.f64 (.f64 (.f64 y z) z) x) (-.f64 (.f64 (.f64 y z) z) x)))
(.f64 (fma.f64 (.f64 z z) y x) (.f64 (-.f64 x (.f64 (.f64 y z) z)) (pow.f64 (-.f64 x (.f64 (*.f64 y z) z)) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 z z) y x) (.f64 (-.f64 (.f64 (.f64 y z) z) x) (pow.f64 (-.f64 (.f64 (*.f64 y z) z) x) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) y x)) #s(literal -1 binary64))
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(.f64 (sqrt.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) z)) (sqrt.f64 (pow.f64 y #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (sqrt.f64 z)))
(.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 (.f64 y z))))
(.f64 (sqrt.f64 (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) z)))
(.f64 (pow.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) z) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 3/8 binary64)) (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 1/8 binary64)))
(.f64 (pow.f64 y #s(literal 1/16 binary64)) (pow.f64 (.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 3/2 binary64)) (sqrt.f64 z)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) z) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 3/8 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 5/4 binary64)) y) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 3/16 binary64)))
(.f64 (pow.f64 z #s(literal 3/16 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 5/4 binary64)) y) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 3/8 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) y) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/8 binary64)))
(.f64 (pow.f64 z #s(literal 1/8 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) y) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 y z) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(.f64 (pow.f64 z #s(literal 3/8 binary64)) (pow.f64 (.f64 y (sqrt.f64 z)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 (.f64 y z) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (fabs.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (.f64 (.f64 y z) z) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 y) z)) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 y) z))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 y) z))))
(fabs.f64 (sqrt.f64 (*.f64 (sqrt.f64 y) z)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 (sqrt.f64 y) z))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 (*.f64 (sqrt.f64 y) z))) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 y)) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 y) z))))
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))
(.f64 (.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) y) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 z #s(literal 5/4 binary64)) y) (pow.f64 z #s(literal 3/8 binary64))) (pow.f64 z #s(literal 3/8 binary64)))
(.f64 (.f64 y (pow.f64 z #s(literal 3/4 binary64))) (pow.f64 z #s(literal 5/4 binary64)))
(.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 3/2 binary64)) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 z))
(.f64 (.f64 (.f64 (.f64 (sqrt.f64 y) z) z) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (sqrt.f64 y) z) (.f64 (pow.f64 y #s(literal 1/4 binary64)) z)) (pow.f64 y #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (sqrt.f64 y) z) (pow.f64 y #s(literal 1/4 binary64))) (.f64 (pow.f64 y #s(literal 1/4 binary64)) z))
(.f64 (.f64 (.f64 (sqrt.f64 y) z) (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 3/4 binary64)))
(.f64 (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 5/2 binary64))) (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 3/4 binary64)))
(.f64 (sqrt.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y)) (sqrt.f64 y))
(.f64 (pow.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) z) #s(literal 2 binary64)) (sqrt.f64 y))
(.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) y) (sqrt.f64 z))
(.f64 (.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 3/2 binary64)) (sqrt.f64 z)) (pow.f64 y #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (.f64 y z)) z) (sqrt.f64 (.f64 y z)))
(.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 (.f64 y (.f64 (sqrt.f64 y) z))))
(.f64 (.f64 (pow.f64 z #s(literal 5/4 binary64)) y) (pow.f64 z #s(literal 3/4 binary64)))
(.f64 (sqrt.f64 (.f64 y (.f64 (sqrt.f64 y) z))) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(.f64 (pow.f64 z #s(literal 3/8 binary64)) (.f64 (pow.f64 z #s(literal 3/8 binary64)) (*.f64 (pow.f64 z #s(literal 5/4 binary64)) y)))
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 3/2 binary64)) y)))
(.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) z) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (sqrt.f64 y) z)))
(.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) z) (sqrt.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) (.f64 z z))))
(.f64 (sqrt.f64 (.f64 y z)) (.f64 (sqrt.f64 (.f64 y z)) z))
(.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 3/4 binary64)) (*.f64 (sqrt.f64 y) z)))
(.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 7/2 binary64))))
(.f64 (.f64 z z) y)
(.f64 (pow.f64 (.f64 (sqrt.f64 y) z) #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 y) z)))
(.f64 (.f64 (*.f64 (sqrt.f64 y) z) z) (sqrt.f64 y))
(.f64 (pow.f64 z #s(literal 3/4 binary64)) (.f64 (pow.f64 z #s(literal 5/4 binary64)) y))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (.f64 (sqrt.f64 y) z) z)))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 3/2 binary64)) (sqrt.f64 z)))
(.f64 (pow.f64 z #s(literal 3/2 binary64)) (.f64 y (sqrt.f64 z)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 3/2 binary64)))
(.f64 (.f64 y z) z)
(.f64 (.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z))
(.f64 (sqrt.f64 y) (pow.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) z) #s(literal 2 binary64)))
(.f64 (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) z) z))
(.f64 (.f64 y (sqrt.f64 z)) (pow.f64 z #s(literal 3/2 binary64)))
(.f64 y (.f64 z z))
(.f64 (sqrt.f64 z) (.f64 (pow.f64 z #s(literal 3/2 binary64)) y))
(.f64 z (.f64 y z))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 1/4 binary64)) #s(literal 8 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 y z) z) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 y) z)) #s(literal 4 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 4 binary64)))
(fabs.f64 (.f64 (.f64 y z) z))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 (*.f64 (sqrt.f64 y) z))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z))) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 y) z)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 y)))
(.f64 (.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 z #s(literal 3/8 binary64))) (pow.f64 z #s(literal 3/8 binary64)))
(*.f64 (pow.f64 z #s(literal 9/16 binary64)) (pow.f64 z #s(literal 15/16 binary64)))
(*.f64 (pow.f64 z #s(literal 9/8 binary64)) (pow.f64 z #s(literal 3/8 binary64)))
(*.f64 (pow.f64 z #s(literal 5/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(.f64 (pow.f64 z #s(literal 3/8 binary64)) (.f64 (pow.f64 z #s(literal 3/8 binary64)) (pow.f64 z #s(literal 3/4 binary64))))
(*.f64 (pow.f64 z #s(literal 3/8 binary64)) (pow.f64 z #s(literal 9/8 binary64)))
(.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) z))
(*.f64 (pow.f64 z #s(literal 3/4 binary64)) (pow.f64 z #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 z) z)
(*.f64 z (sqrt.f64 z))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (log.f64 z))
(pow.f64 (pow.f64 z #s(literal 3/8 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 6 binary64))
(pow.f64 (*.f64 z z) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 z #s(literal 3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 3 binary64))
(pow.f64 z #s(literal 3/2 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3/2 binary64))) (log.f64 z)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 3/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/4 binary64) (log.f64 z)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 z)
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 z)))

eval94.0ms (2.1%)

Memory: -19.9MiB live, 101.0MiB allocated
Compiler: Compiled 14 543 to 1 917 computations (86.8% saved)

prune35.0ms (0.8%)

Memory

5.9MiB live, 44.6MiB allocated

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	620	2	622
Fresh	1	0	1
Picked	0	5	5
Done	1	5	6
Total	622	12	634

Accuracy

100.0%

Counts

634 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.8%	(fma.f64 (.f64 (.f64 (sqrt.f64 y) z) (sqrt.f64 y)) z x)
✓	93.3%	(fma.f64 (*.f64 z z) y x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
✓	49.5%	#s(approx (+ x (* (* y z) z)) (.f64 (pow.f64 z #s(literal 3/2 binary64)) (.f64 (sqrt.f64 z) y)))
	16.4%	#s(approx (+ x (* (* y z) z)) (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 (.f64 y (*.f64 y z)))))
✓	51.3%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z)))
✓	21.6%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (sqrt.f64 (.f64 (sqrt.f64 y) z))) (*.f64 z (sqrt.f64 y))))
	21.9%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 (.f64 y z)) z) (sqrt.f64 (.f64 y z))))
✓	21.6%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
✓	21.6%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 (.f64 (.f64 y z) z))))
✓	45.9%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
✓	51.4%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))

Compiler

Compiled 530 to 198 computations (62.6% saved)

regimes62.0ms (1.4%)

Memory

6.0MiB live, 100.4MiB allocated

Counts

21 → 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)
(fma.f64 (*.f64 z z) y x)
(+.f64 x (.f64 (.f64 y z) z))
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z)))
(fma.f64 (.f64 (.f64 (sqrt.f64 y) z) (sqrt.f64 y)) z x)
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 (.f64 (.f64 y z) z))))
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 (.f64 y z)) z) (sqrt.f64 (.f64 y z))))
(fma.f64 (.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (*.f64 z y))) z x)
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 (.f64 z y))) (sqrt.f64 z)))
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 y) z)) (sqrt.f64 (.f64 (sqrt.f64 y) z))) (*.f64 z (sqrt.f64 y))))
#s(approx (+ x (* (* y z) z)) (.f64 (pow.f64 z #s(literal 3/2 binary64)) (.f64 (sqrt.f64 z) y)))
#s(approx (+ x (* (* y z) z)) (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 (.f64 y (*.f64 y z)))))
(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) z) x)
#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 (.f64 (sqrt.f64 y) z))) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y z)))))
(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (.f64 z (sqrt.f64 y))) (sqrt.f64 (*.f64 z (sqrt.f64 y)))) x)
(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)
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 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 #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)))))

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

Calls

5 calls:

35.0ms	x
8.0ms	(+.f64 x (.f64 (.f64 y z) z))
6.0ms	z
6.0ms	y
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)

regimes9.0ms (0.2%)

Memory

-13.3MiB live, 24.7MiB allocated

Accuracy

Total -3.5b remaining (-11.4%)

Threshold costs -3.5b (-11.4%)

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:

3.0ms	(.f64 (.f64 y z) z)
1.0ms	(+.f64 x (.f64 (.f64 y z) z))
1.0ms	y
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
51.4%	1	`x`
51.4%	1	`y`
51.4%	1	`z`
51.4%	1	`(+.f64 x (.f64 (.f64 y z) z))`
51.4%	1	`(.f64 (.f64 y z) z)`

Compiler

Compiled 15 to 20 computations (-33.3% saved)

simplify8.0ms (0.2%)

Memory

-21.3MiB live, 17.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	15	19
2	16	19

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness586.0ms (13%)

Memory

38.3MiB live, 316.3MiB 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
0	26	122
0	44	86
1	193	86
2	1180	81
0	8360	81
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×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 56 to 33 computations (41.1% saved)

preprocess19.0ms (0.4%)

Memory: -2.9MiB live, 34.0MiB allocated
Remove: (abs z)
Compiler: Compiled 64 to 42 computations (34.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	24	184
0	40	159
1	70	159
2	110	157
3	144	157
4	157	154
5	167	154
6	178	154
7	179	154
0	179	153

Iter	Nodes	Cost
0	29	222
0	48	203
1	81	203
2	140	159
3	170	159
4	230	159
5	343	159
6	343	159
0	343	159

Iter	Nodes	Cost
0	24	184
0	40	159
1	70	159
2	110	157
3	144	157
4	157	154
5	167	154
6	178	154
7	179	154
0	179	153

Iter	Nodes	Cost
0	29	222
0	48	203
1	81	203
2	140	159
3	170	159
4	230	159
5	343	159
6	343	159
0	343	159

start0.0ms (0%)

analyze0.0ms (0%)

sample950.0ms (21.1%)

explain86.0ms (1.9%)

preprocess30.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0.1%)

localize18.0ms (0.4%)

series10.0ms (0.2%)

simplify90.0ms (2%)

rewrite468.0ms (10.4%)

eval16.0ms (0.4%)

prune26.0ms (0.6%)

simplify107.0ms (2.4%)

localize140.0ms (3.1%)

series70.0ms (1.5%)

simplify152.0ms (3.4%)

rewrite309.0ms (6.9%)

eval80.0ms (1.8%)

prune26.0ms (0.6%)

simplify7.0ms (0.2%)

localize64.0ms (1.4%)

series22.0ms (0.5%)

simplify111.0ms (2.5%)

rewrite169.0ms (3.7%)

eval89.0ms (2%)

prune17.0ms (0.4%)

simplify10.0ms (0.2%)

localize81.0ms (1.8%)

series139.0ms (3.1%)

simplify100.0ms (2.2%)

rewrite308.0ms (6.8%)

eval94.0ms (2.1%)

prune35.0ms (0.8%)

regimes62.0ms (1.4%)

regimes9.0ms (0.2%)

simplify8.0ms (0.2%)

soundness586.0ms (13%)

preprocess19.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	24	184
0	40	159
1	70	159
2	110	157
3	144	157
4	157	154
5	167	154
6	178	154
7	179	154
0	179	153

Iter	Nodes	Cost
0	29	222
0	48	203
1	81	203
2	140	159
3	170	159
4	230	159
5	343	159
6	343	159
0	343	159