Metrics for Statistics.Distribution.CauchyLorentz:$cdensity from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze74.0ms (2.9%)

Memory

11.3MiB live, 98.5MiB allocated; 18ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	8
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
82%	81.9%	17.9%	0.1%	0%	0%	0%	11
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample938.0ms (36.8%)

Memory

-18.2MiB live, 942.4MiB allocated; 205ms collecting garbage

Samples

619.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 381.0ms

ival-div: 215.0ms (56.4% of total)

ival-mult: 108.0ms (28.3% of total)

ival-add: 47.0ms (12.3% of total)

exact: 6.0ms (1.6% of total)

ival-assert: 3.0ms (0.8% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

explain106.0ms (4.2%)

Memory

-7.3MiB live, 138.8MiB allocated; 14ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
17	0	-	-	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
16	1	(-2.53073183191155e-195 -5.0084387608199985e+165 -5.937907603301749e+175)	-	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(/.f64 #s(literal 1 binary64) x)`
0	0	-	-	`z`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
0	0	-	-	`(*.f64 z z)`
0	0	-	-	`y`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`	n/o	17	0
↳	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	overflow	62
↳	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`	overflow	70
↳	`(*.f64 z z)`	overflow	70
`*.f64`	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	*no**	17	0

Confusion

	Predicted +	Predicted -
+	29	0
-	5	222

Precision

0.8529411764705882

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	29	0	0
-	5	0	222

Precision?

0.8529411764705882

Recall?

1.0

Freqs

test

number	freq
0	222
1	34

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 81 to 31 computations (61.7% saved)

Precisions

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

ival-mult: 8.0ms (43.9% of total)

ival-div: 7.0ms (38.4% of total)

ival-add: 2.0ms (11% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess155.0ms (6.1%)

Memory

10.1MiB live, 151.8MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	113
1	135	110
2	526	110
3	1580	110
4	5516	110
0	9	11
0	14	11
1	34	11
2	107	11
3	333	11
4	1385	11
5	6166	11
0	8123	10

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

(negabs x)

(negabs y)

(sort x y)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

series15.0ms (0.6%)

Memory

-21.9MiB live, 24.1MiB allocated; 3ms collecting garbage

Counts

9 → 23

Calls

Call 1

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

Outputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 (* y (+ 1 (pow z 2)))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 y))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 (+ y (* y (pow z 2)))))
#s(approx (+ 1 (* z z)) #s(hole binary64 1))
#s(approx (+ 1 (* z z)) #s(hole binary64 (+ 1 (pow z 2))))
#s(approx (* z z) #s(hole binary64 (pow z 2)))
#s(approx z #s(hole binary64 z))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 (* y (pow z 2))))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 (* (pow z 2) (+ y (/ y (pow z 2))))))
#s(approx (+ 1 (* z z)) #s(hole binary64 (pow z 2)))
#s(approx (+ 1 (* z z)) #s(hole binary64 (* (pow z 2) (+ 1 (/ 1 (pow z 2))))))

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	((/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) 1 x (* y (+ 1 (* z z))) y (+ 1 (* z z)) (* z z) z)
2.0ms	y	@	inf	((/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) 1 x (* y (+ 1 (* z z))) y (+ 1 (* z z)) (* z z) z)
2.0ms	x	@	0	((/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) 1 x (* y (+ 1 (* z z))) y (+ 1 (* z z)) (* z z) z)
2.0ms	x	@	-inf	((/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) 1 x (* y (+ 1 (* z z))) y (+ 1 (* z z)) (* z z) z)
1.0ms	y	@	0	((/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) 1 x (* y (+ 1 (* z z))) y (+ 1 (* z z)) (* z z) z)

rewrite192.0ms (7.5%)

Memory

5.4MiB live, 114.0MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	464
0	92	452
1	407	440
0	4302	410

Stop Event

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

Counts

32 → 176

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
y
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(*.f64 z z)
z
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 (* y (+ 1 (pow z 2)))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 y))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 (+ y (* y (pow z 2)))))
#s(approx (+ 1 (* z z)) #s(hole binary64 1))
#s(approx (+ 1 (* z z)) #s(hole binary64 (+ 1 (pow z 2))))
#s(approx (* z z) #s(hole binary64 (pow z 2)))
#s(approx z #s(hole binary64 z))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 (* y (pow z 2))))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 (* (pow z 2) (+ y (/ y (pow z 2))))))
#s(approx (+ 1 (* z z)) #s(hole binary64 (pow z 2)))
#s(approx (+ 1 (* z z)) #s(hole binary64 (* (pow z 2) (+ 1 (/ 1 (pow z 2))))))

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

eval19.0ms (0.8%)

Memory: -19.2MiB live, 26.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 810 to 613 computations (78.2% saved)

prune233.0ms (9.1%)

Memory

25.0MiB live, 264.6MiB allocated; 14ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	171	6	177
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	172	6	178

Accuracy

93.3%

Counts

178 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.1%	(pow.f64 (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) #s(literal -1 binary64))
	86.9%	(/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64)))
	90.1%	(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64))) y)
	87.6%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) x)
▶	90.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y (neg.f64 z)) (neg.f64 z) y))
	62.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) (-.f64 #s(literal 1 binary64) (.f64 z z))))

Compiler

Compiled 138 to 114 computations (17.4% saved)

series14.0ms (0.6%)

Memory

-21.6MiB live, 25.3MiB allocated; 2ms collecting garbage

Counts

9 → 23

Calls

Call 1

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

Outputs
#s(approx (/ (/ 1 x) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ 1 (* x (+ y (* y (pow z 2)))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (/ 1 x) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (+ (* (* y (neg z)) (neg z)) y) #s(hole binary64 (* y (+ 1 (pow z 2)))))
#s(approx (* y (neg z)) #s(hole binary64 (* -1 (* y z))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (/ 1 x) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))))
#s(approx (+ (* (* y (neg z)) (neg z)) y) #s(hole binary64 (* -1 (* y (- (* -1 (pow z 2)) 1)))))
#s(approx (/ (/ 1 x) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ (/ 1 x) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 x) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 x) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (+ (* (* y (neg z)) (neg z)) y) #s(hole binary64 y))
#s(approx (+ (* (* y (neg z)) (neg z)) y) #s(hole binary64 (+ y (* y (pow z 2)))))
#s(approx (neg z) #s(hole binary64 (* -1 z)))
#s(approx z #s(hole binary64 z))
#s(approx (/ (/ 1 x) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ (/ 1 x) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 x) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 x) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (+ (* (* y (neg z)) (neg z)) y) #s(hole binary64 (* y (pow z 2))))
#s(approx (+ (* (* y (neg z)) (neg z)) y) #s(hole binary64 (* (pow z 2) (+ y (/ y (pow z 2))))))

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	((/ (/ 1 x) (+ (* (* y (neg z)) (neg z)) y)) (/ 1 x) 1 x (+ (* (* y (neg z)) (neg z)) y) (* y (neg z)) y (neg z) z)
3.0ms	y	@	0	((/ (/ 1 x) (+ (* (* y (neg z)) (neg z)) y)) (/ 1 x) 1 x (+ (* (* y (neg z)) (neg z)) y) (* y (neg z)) y (neg z) z)
2.0ms	x	@	0	((/ (/ 1 x) (+ (* (* y (neg z)) (neg z)) y)) (/ 1 x) 1 x (+ (* (* y (neg z)) (neg z)) y) (* y (neg z)) y (neg z) z)
1.0ms	y	@	inf	((/ (/ 1 x) (+ (* (* y (neg z)) (neg z)) y)) (/ 1 x) 1 x (+ (* (* y (neg z)) (neg z)) y) (* y (neg z)) y (neg z) z)
1.0ms	x	@	-inf	((/ (/ 1 x) (+ (* (* y (neg z)) (neg z)) y)) (/ 1 x) 1 x (+ (* (* y (neg z)) (neg z)) y) (* y (neg z)) y (neg z) z)

rewrite124.0ms (4.9%)

Memory

3.3MiB live, 141.0MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	513
0	102	502
1	438	471
0	4370	445

Stop Event

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

Counts

32 → 120

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y (neg.f64 z)) (neg.f64 z) y))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (*.f64 y (neg.f64 z)) (neg.f64 z) y)
(*.f64 y (neg.f64 z))
y
(neg.f64 z)
z
#s(approx (/ (/ 1 x) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ 1 (* x (+ y (* y (pow z 2)))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (/ 1 x) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (+ (* (* y (neg z)) (neg z)) y) #s(hole binary64 (* y (+ 1 (pow z 2)))))
#s(approx (* y (neg z)) #s(hole binary64 (* -1 (* y z))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (/ 1 x) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))))
#s(approx (+ (* (* y (neg z)) (neg z)) y) #s(hole binary64 (* -1 (* y (- (* -1 (pow z 2)) 1)))))
#s(approx (/ (/ 1 x) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ (/ 1 x) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 x) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 x) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (+ (* (* y (neg z)) (neg z)) y) #s(hole binary64 y))
#s(approx (+ (* (* y (neg z)) (neg z)) y) #s(hole binary64 (+ y (* y (pow z 2)))))
#s(approx (neg z) #s(hole binary64 (* -1 z)))
#s(approx z #s(hole binary64 z))
#s(approx (/ (/ 1 x) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ (/ 1 x) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 x) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 x) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (+ (* (* y (neg z)) (neg z)) y) #s(hole binary64 (* y (pow z 2))))
#s(approx (+ (* (* y (neg z)) (neg z)) y) #s(hole binary64 (* (pow z 2) (+ y (/ y (pow z 2))))))

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

eval11.0ms (0.4%)

Memory: 20.9MiB live, 20.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 172 to 368 computations (83.1% saved)

prune117.0ms (4.6%)

Memory

11.9MiB live, 109.2MiB allocated; 15ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	125	3	128
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	128	6	134

Accuracy

93.3%

Counts

134 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.9%	(/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64)))
	90.1%	(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64))) y)
	87.6%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) y y)) x)
✓	90.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y (neg.f64 z)) (neg.f64 z) y))
	62.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) (fma.f64 (neg.f64 z) z #s(literal 1 binary64))))
▶	90.4%	(/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (fma.f64 (.f64 y (neg.f64 z)) (neg.f64 z) y))

Compiler

Compiled 138 to 107 computations (22.5% saved)

series14.0ms (0.5%)

Memory

-31.3MiB live, 16.3MiB allocated; 4ms collecting garbage

Counts

10 → 27

Calls

Call 1

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

Outputs
#s(approx (/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ 1 (* x (+ y (* y (pow z 2)))))))
#s(approx (* (pow x -1/2) (pow x -1/2)) #s(hole binary64 (/ 1 x)))
#s(approx (pow x -1/2) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) (* x (+ y (* y (pow z 2))))))))
#s(approx (* (pow x -1/2) (pow x -1/2)) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) x))))
#s(approx (pow x -1/2) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (+ (* (* y (neg z)) (neg z)) y) #s(hole binary64 (* y (+ 1 (pow z 2)))))
#s(approx (* y (neg z)) #s(hole binary64 (* -1 (* y z))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))))
#s(approx (+ (* (* y (neg z)) (neg z)) y) #s(hole binary64 (* -1 (* y (- (* -1 (pow z 2)) 1)))))
#s(approx (/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (+ (* (* y (neg z)) (neg z)) y) #s(hole binary64 y))
#s(approx (+ (* (* y (neg z)) (neg z)) y) #s(hole binary64 (+ y (* y (pow z 2)))))
#s(approx (neg z) #s(hole binary64 (* -1 z)))
#s(approx z #s(hole binary64 z))
#s(approx (/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (+ (* (* y (neg z)) (neg z)) y) #s(hole binary64 (* y (pow z 2))))
#s(approx (+ (* (* y (neg z)) (neg z)) y) #s(hole binary64 (* (pow z 2) (+ y (/ y (pow z 2))))))

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	((/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) (* (pow x -1/2) (pow x -1/2)) (pow x -1/2) x -1/2 (+ (* (* y (neg z)) (neg z)) y) (* y (neg z)) y (neg z) z)
2.0ms	x	@	-inf	((/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) (* (pow x -1/2) (pow x -1/2)) (pow x -1/2) x -1/2 (+ (* (* y (neg z)) (neg z)) y) (* y (neg z)) y (neg z) z)
2.0ms	x	@	0	((/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) (* (pow x -1/2) (pow x -1/2)) (pow x -1/2) x -1/2 (+ (* (* y (neg z)) (neg z)) y) (* y (neg z)) y (neg z) z)
1.0ms	y	@	inf	((/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) (* (pow x -1/2) (pow x -1/2)) (pow x -1/2) x -1/2 (+ (* (* y (neg z)) (neg z)) y) (* y (neg z)) y (neg z) z)
1.0ms	y	@	0	((/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) (* (pow x -1/2) (pow x -1/2)) (pow x -1/2) x -1/2 (+ (* (* y (neg z)) (neg z)) y) (* y (neg z)) y (neg z) z)

rewrite48.0ms (1.9%)

Memory

28.4MiB live, 73.7MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	642
0	121	554
0	504	547

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

37 → 64

Calls

Call 1

Inputs
(/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (fma.f64 (.f64 y (neg.f64 z)) (neg.f64 z) y))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(fma.f64 (*.f64 y (neg.f64 z)) (neg.f64 z) y)
(*.f64 y (neg.f64 z))
y
(neg.f64 z)
z
#s(approx (/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ 1 (* x (+ y (* y (pow z 2)))))))
#s(approx (* (pow x -1/2) (pow x -1/2)) #s(hole binary64 (/ 1 x)))
#s(approx (pow x -1/2) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) (* x (+ y (* y (pow z 2))))))))
#s(approx (* (pow x -1/2) (pow x -1/2)) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) x))))
#s(approx (pow x -1/2) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (+ (* (* y (neg z)) (neg z)) y) #s(hole binary64 (* y (+ 1 (pow z 2)))))
#s(approx (* y (neg z)) #s(hole binary64 (* -1 (* y z))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))))
#s(approx (+ (* (* y (neg z)) (neg z)) y) #s(hole binary64 (* -1 (* y (- (* -1 (pow z 2)) 1)))))
#s(approx (/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (+ (* (* y (neg z)) (neg z)) y) #s(hole binary64 y))
#s(approx (+ (* (* y (neg z)) (neg z)) y) #s(hole binary64 (+ y (* y (pow z 2)))))
#s(approx (neg z) #s(hole binary64 (* -1 z)))
#s(approx z #s(hole binary64 z))
#s(approx (/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (* (pow x -1/2) (pow x -1/2)) (+ (* (* y (neg z)) (neg z)) y)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (+ (* (* y (neg z)) (neg z)) y) #s(hole binary64 (* y (pow z 2))))
#s(approx (+ (* (* y (neg z)) (neg z)) y) #s(hole binary64 (* (pow z 2) (+ y (/ y (pow z 2))))))

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

eval19.0ms (0.8%)

Memory: -23.5MiB live, 20.2MiB allocated; 12ms collecting garbage
Compiler: Compiled 1 621 to 232 computations (85.7% saved)

prune62.0ms (2.4%)

Memory

-2.4MiB live, 49.7MiB allocated; 29ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	77	7	84

Accuracy

93.3%

Counts

84 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.9%	(/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64)))
	90.1%	(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64))) y)
	87.6%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) y y)) x)
✓	90.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y (neg.f64 z)) (neg.f64 z) y))
	62.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) (fma.f64 (neg.f64 z) z #s(literal 1 binary64))))
	90.3%	(/.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))) (fma.f64 (*.f64 y (neg.f64 z)) (neg.f64 z) y))
▶	90.4%	(.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (neg.f64 z) (.f64 (neg.f64 z) y) y)))

Compiler

Compiled 178 to 133 computations (25.3% saved)

series20.0ms (0.8%)

Memory

27.9MiB live, 27.9MiB allocated; 0ms collecting garbage

Counts

10 → 37

Calls

Call 1

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

Outputs
#s(approx (* (pow x -1/2) (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y))) #s(hole binary64 (/ 1 (* x (+ y (* y (pow z 2)))))))
#s(approx (pow x -1/2) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y)) #s(hole binary64 (* (sqrt (/ 1 x)) (/ 1 (+ y (* y (pow z 2)))))))
#s(approx (* (pow x -1/2) (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y))) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) (* x (+ y (* y (pow z 2))))))))
#s(approx (pow x -1/2) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y)) #s(hole binary64 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ y (* y (pow z 2)))))))
#s(approx (* (pow x -1/2) (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y))) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y)) #s(hole binary64 (* (sqrt (/ 1 x)) (/ 1 (* y (+ 1 (pow z 2)))))))
#s(approx (+ (* (neg z) (* (neg z) y)) y) #s(hole binary64 (* y (+ 1 (pow z 2)))))
#s(approx (* (neg z) y) #s(hole binary64 (* -1 (* y z))))
#s(approx y #s(hole binary64 y))
#s(approx (* (pow x -1/2) (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y))) #s(hole binary64 (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))))
#s(approx (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y)) #s(hole binary64 (* -1 (* (sqrt (/ 1 x)) (/ 1 (* y (- (* -1 (pow z 2)) 1)))))))
#s(approx (+ (* (neg z) (* (neg z) y)) y) #s(hole binary64 (* -1 (* y (- (* -1 (pow z 2)) 1)))))
#s(approx (* (pow x -1/2) (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y))) #s(hole binary64 (/ 1 (* x y))))
#s(approx (* (pow x -1/2) (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y))) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (* (pow x -1/2) (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y))) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (* (pow x -1/2) (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y))) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y)) #s(hole binary64 (* (sqrt (/ 1 x)) (/ 1 y))))
#s(approx (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y)) #s(hole binary64 (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow z 2) y))) (* (sqrt (/ 1 x)) (/ 1 y)))))
#s(approx (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y)) #s(hole binary64 (+ (* (sqrt (/ 1 x)) (/ 1 y)) (* (pow z 2) (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (* (sqrt (/ 1 x)) (/ (pow z 2) y)))))))
#s(approx (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y)) #s(hole binary64 (+ (* (sqrt (/ 1 x)) (/ 1 y)) (* (pow z 2) (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (* (pow z 2) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow z 2) y))) (* (sqrt (/ 1 x)) (/ 1 y)))))))))
#s(approx (+ (* (neg z) (* (neg z) y)) y) #s(hole binary64 y))
#s(approx (+ (* (neg z) (* (neg z) y)) y) #s(hole binary64 (+ y (* y (pow z 2)))))
#s(approx (neg z) #s(hole binary64 (* -1 z)))
#s(approx z #s(hole binary64 z))
#s(approx (* (pow x -1/2) (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y))) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (* (pow x -1/2) (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y))) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (* (pow x -1/2) (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (* (pow x -1/2) (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y)) #s(hole binary64 (* (sqrt (/ 1 x)) (/ 1 (* y (pow z 2))))))
#s(approx (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y)) #s(hole binary64 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 (* y (pow z 2))))) (* (sqrt (/ 1 x)) (/ 1 y))) (pow z 2))))
#s(approx (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y)) #s(hole binary64 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 (* y (pow z 2))))) (+ (* (sqrt (/ 1 x)) (/ 1 y)) (* (sqrt (/ 1 x)) (/ 1 (* y (pow z 4)))))) (pow z 2))))
#s(approx (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y)) #s(hole binary64 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 (* y (pow z 2))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 (* y (pow z 6))))) (+ (* (sqrt (/ 1 x)) (/ 1 y)) (* (sqrt (/ 1 x)) (/ 1 (* y (pow z 4))))))) (pow z 2))))
#s(approx (+ (* (neg z) (* (neg z) y)) y) #s(hole binary64 (* y (pow z 2))))
#s(approx (+ (* (neg z) (* (neg z) y)) y) #s(hole binary64 (* (pow z 2) (+ y (/ y (pow z 2))))))

Calls

9 calls:

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

rewrite43.0ms (1.7%)

Memory

-12.4MiB live, 36.0MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	1085
0	169	1043
0	770	1024

Stop Event

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

Counts

47 → 65

Calls

Call 1

Inputs
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (neg.f64 z) (.f64 (neg.f64 z) y) y)))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 z) y) y))
(fma.f64 (neg.f64 z) (*.f64 (neg.f64 z) y) y)
(neg.f64 z)
z
(*.f64 (neg.f64 z) y)
y
#s(approx (* (pow x -1/2) (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y))) #s(hole binary64 (/ 1 (* x (+ y (* y (pow z 2)))))))
#s(approx (pow x -1/2) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y)) #s(hole binary64 (* (sqrt (/ 1 x)) (/ 1 (+ y (* y (pow z 2)))))))
#s(approx (* (pow x -1/2) (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y))) #s(hole binary64 (* -1 (/ (pow (sqrt -1) 2) (* x (+ y (* y (pow z 2))))))))
#s(approx (pow x -1/2) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y)) #s(hole binary64 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ y (* y (pow z 2)))))))
#s(approx (* (pow x -1/2) (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y))) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y)) #s(hole binary64 (* (sqrt (/ 1 x)) (/ 1 (* y (+ 1 (pow z 2)))))))
#s(approx (+ (* (neg z) (* (neg z) y)) y) #s(hole binary64 (* y (+ 1 (pow z 2)))))
#s(approx (* (neg z) y) #s(hole binary64 (* -1 (* y z))))
#s(approx y #s(hole binary64 y))
#s(approx (* (pow x -1/2) (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y))) #s(hole binary64 (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))))
#s(approx (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y)) #s(hole binary64 (* -1 (* (sqrt (/ 1 x)) (/ 1 (* y (- (* -1 (pow z 2)) 1)))))))
#s(approx (+ (* (neg z) (* (neg z) y)) y) #s(hole binary64 (* -1 (* y (- (* -1 (pow z 2)) 1)))))
#s(approx (* (pow x -1/2) (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y))) #s(hole binary64 (/ 1 (* x y))))
#s(approx (* (pow x -1/2) (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y))) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (* (pow x -1/2) (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y))) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (* (pow x -1/2) (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y))) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y)) #s(hole binary64 (* (sqrt (/ 1 x)) (/ 1 y))))
#s(approx (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y)) #s(hole binary64 (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow z 2) y))) (* (sqrt (/ 1 x)) (/ 1 y)))))
#s(approx (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y)) #s(hole binary64 (+ (* (sqrt (/ 1 x)) (/ 1 y)) (* (pow z 2) (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (* (sqrt (/ 1 x)) (/ (pow z 2) y)))))))
#s(approx (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y)) #s(hole binary64 (+ (* (sqrt (/ 1 x)) (/ 1 y)) (* (pow z 2) (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (* (pow z 2) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow z 2) y))) (* (sqrt (/ 1 x)) (/ 1 y)))))))))
#s(approx (+ (* (neg z) (* (neg z) y)) y) #s(hole binary64 y))
#s(approx (+ (* (neg z) (* (neg z) y)) y) #s(hole binary64 (+ y (* y (pow z 2)))))
#s(approx (neg z) #s(hole binary64 (* -1 z)))
#s(approx z #s(hole binary64 z))
#s(approx (* (pow x -1/2) (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y))) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (* (pow x -1/2) (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y))) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (* (pow x -1/2) (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (* (pow x -1/2) (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y)) #s(hole binary64 (* (sqrt (/ 1 x)) (/ 1 (* y (pow z 2))))))
#s(approx (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y)) #s(hole binary64 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 (* y (pow z 2))))) (* (sqrt (/ 1 x)) (/ 1 y))) (pow z 2))))
#s(approx (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y)) #s(hole binary64 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 (* y (pow z 2))))) (+ (* (sqrt (/ 1 x)) (/ 1 y)) (* (sqrt (/ 1 x)) (/ 1 (* y (pow z 4)))))) (pow z 2))))
#s(approx (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y)) #s(hole binary64 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 (* y (pow z 2))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 (* y (pow z 6))))) (+ (* (sqrt (/ 1 x)) (/ 1 y)) (* (sqrt (/ 1 x)) (/ 1 (* y (pow z 4))))))) (pow z 2))))
#s(approx (+ (* (neg z) (* (neg z) y)) y) #s(hole binary64 (* y (pow z 2))))
#s(approx (+ (* (neg z) (* (neg z) y)) y) #s(hole binary64 (* (pow z 2) (+ y (/ y (pow z 2))))))

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

eval8.0ms (0.3%)

Memory: 13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 973 to 289 computations (85.4% saved)

prune43.0ms (1.7%)

Memory

6.8MiB live, 53.7MiB allocated; 2ms collecting garbage

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	77	3	80
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	80	7	87

Accuracy

93.3%

Counts

87 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.1%	(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64))) y)
	87.6%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) y y)) x)
✓	90.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y (neg.f64 z)) (neg.f64 z) y))
✓	90.4%	(.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (neg.f64 z) (.f64 (neg.f64 z) y) y)))
	87.6%	(.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(approx (/ (pow x -1/2) (+ ( (neg z) (* (neg z) y)) y)) (neg.f64 (.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (neg.f64 (.f64 z z)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
	90.3%	(.f64 (.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 z) y) y)))
	86.8%	#s(approx (* (pow x -1/2) (/ (pow x -1/2) (+ (* (neg z) (* (neg z) y)) y))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 y x) (-.f64 (neg.f64 (*.f64 z z)) #s(literal 1 binary64)))))

Compiler

Compiled 375 to 168 computations (55.2% saved)

regimes34.0ms (1.3%)

Memory

-0.5MiB live, 46.2MiB allocated; 2ms collecting garbage

Accuracy

Total -20.0b remaining (-454.8%)

Threshold costs -20b (-454.8%)

Counts

15 → 2

Calls

Call 1

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

Outputs

(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64))) y)

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

Calls

8 calls:

5.0ms	z
4.0ms	(/.f64 #s(literal 1 binary64) x)
4.0ms	y
4.0ms	x
4.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))

Results

Accuracy	Segments	Branch
93.1%	2	`(*.f64 z z)`
93.1%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
90.6%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
90.6%	1	`(/.f64 #s(literal 1 binary64) x)`
90.6%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
90.6%	1	`x`
93.1%	2	`y`
93.1%	2	`z`

Compiler

Compiled 32 to 40 computations (-25% saved)

bsearch19.0ms (0.7%)

Memory

-32.7MiB live, 14.8MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.804585146256676e+148	3.907484165189475e+151

Samples

10.0ms

128×

valid

Compiler

Compiled 222 to 183 computations (17.6% saved)

Precisions

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

ival-div: 2.0ms (46.3% of total)

ival-mult: 2.0ms (46.3% of total)

ival-add: 1.0ms (23.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify49.0ms (1.9%)

Memory

40.2MiB live, 40.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	30
1	26	30
2	35	30
3	47	30
4	71	30
5	244	30
6	2301	30
7	5463	30

Stop Event

1×	node limit

Calls

Call 1

Inputs

(if (<=.f64 z #s(literal 38999999999999997617201121059942105296373112799172230634862366049544268742590516579637234220887297442615516244412841700466440646818227403528247902732288 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64))) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 z) y) y))))

Outputs

(if (<=.f64 z #s(literal 38999999999999997617201121059942105296373112799172230634862366049544268742590516579637234220887297442615516244412841700466440646818227403528247902732288 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64))) y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (neg.f64 z) (*.f64 (neg.f64 z) y) y))))

derivations47.0ms (1.9%)

Memory

-22.8MiB live, 23.5MiB allocated; 3ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 30 to 19 computations (36.7% saved)

preprocess145.0ms (5.7%)

Memory

6.8MiB live, 145.3MiB allocated; 20ms collecting garbage

Remove

(negabs y)

(sort x y)

Compiler

Compiled 728 to 436 computations (40.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze74.0ms (2.9%)

sample938.0ms (36.8%)

explain106.0ms (4.2%)

preprocess155.0ms (6.1%)

eval0.0ms (0%)

prune0.0ms (0%)

series15.0ms (0.6%)

rewrite192.0ms (7.5%)

eval19.0ms (0.8%)

prune233.0ms (9.1%)

series14.0ms (0.6%)

rewrite124.0ms (4.9%)

eval11.0ms (0.4%)

prune117.0ms (4.6%)

series14.0ms (0.5%)

rewrite48.0ms (1.9%)

eval19.0ms (0.8%)

prune62.0ms (2.4%)

series20.0ms (0.8%)

rewrite43.0ms (1.7%)

eval8.0ms (0.3%)

prune43.0ms (1.7%)

regimes34.0ms (1.3%)

bsearch19.0ms (0.7%)

simplify49.0ms (1.9%)

derivations47.0ms (1.9%)

preprocess145.0ms (5.7%)

end0.0ms (0%)

Profiling