Metrics for Crypto.Random.Test:calculate from crypto-random-0.0.9

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze62.0ms (3.6%)

Memory

-3.0MiB live, 96.5MiB allocated; 27ms 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
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample817.0ms (47.3%)

Memory

29.9MiB live, 1 100.3MiB allocated; 369ms collecting garbage

Samples

350.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-mult!: 57.0ms (44.9% of total)

ival-div!: 44.0ms (34.6% of total)

ival-add!: 24.0ms (18.9% of total)

adjust: 2.0ms (1.6% of total)

Bogosity

explain76.0ms (4.4%)

Memory

-15.5MiB live, 133.0MiB allocated; 28ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
31	-	3	(1.902344336621151e-43 2.678359090017077e-160 -4.0909685589836537e-159)	`(/.f64 (*.f64 y y) z)`
0	-	0	-	`(+.f64 x (/.f64 (*.f64 y y) z))`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`z`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 y y) z)`	o/n	15	0
↳	`(*.f64 y y)`	overflow	65
`/.f64`	`(/.f64 (*.f64 y y) z)`	u/n	3	0
↳	`(*.f64 y y)`	underflow	57

Confusion

	Predicted +	Predicted -
+	18	0
-	0	238

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	18	0	0
-	0	0	238

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	238
1	18

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult!: 3.0ms (41.8% of total)

ival-div!: 3.0ms (41.8% of total)

ival-add!: 1.0ms (13.9% of total)

adjust: 0.0ms (0% of total)

preprocess12.0ms (0.7%)

Memory

19.5MiB live, 19.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	75
1	70	73
2	177	73
3	341	73
4	584	73
5	622	73

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.4%	(+.f64 x (/.f64 (*.f64 y y) z))

Symmetry

(abs y)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series49.0ms (2.8%)

Memory

-37.7MiB live, 16.8MiB allocated; 8ms collecting garbage

Counts

6 → 12

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
42.0ms	x	@	inf	((+ x (/ (* y y) z)) x (/ (* y y) z) (* y y) y z)
2.0ms	x	@	-inf	((+ x (/ (* y y) z)) x (/ (* y y) z) (* y y) y z)
1.0ms	y	@	inf	((+ x (/ (* y y) z)) x (/ (* y y) z) (* y y) y z)
1.0ms	y	@	0	((+ x (/ (* y y) z)) x (/ (* y y) z) (* y y) y z)
1.0ms	y	@	-inf	((+ x (/ (* y y) z)) x (/ (* y y) z) (* y y) y z)

rewrite86.0ms (5%)

Memory

26.0MiB live, 72.3MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	162
0	44	160
1	187	160
0	1477	149

Stop Event

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

Counts

18 → 81

Calls

Call 1

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

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

eval24.0ms (1.4%)

Memory: -23.6MiB live, 22.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 956 to 229 computations (76% saved)

prune4.0ms (0.2%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	77	6	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	7	84

Accuracy

100.0%

Counts

84 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.3%	(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x)
▶	99.9%	(fma.f64 (/.f64 y z) y x)
▶	99.8%	(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y x)
✓	93.4%	(+.f64 x (/.f64 (*.f64 y y) z))
▶	99.9%	(+.f64 x (*.f64 (/.f64 y z) y))
▶	48.3%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
▶	47.5%	#s(approx (+ x (/ (* y y) z)) x)

Compiler

Compiled 109 to 88 computations (19.3% saved)

series9.0ms (0.5%)

Memory

21.3MiB live, 21.3MiB allocated; 0ms collecting garbage

Counts

15 → 37

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite103.0ms (5.9%)

Memory

-35.5MiB live, 105.6MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	600
0	93	555
1	285	555
0	1887	547

Stop Event

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

Counts

52 → 272

Calls

Call 1

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

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

eval19.0ms (1.1%)

Memory: 0.8MiB live, 46.4MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 148 to 429 computations (80% saved)

prune5.0ms (0.3%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	169	3	172
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	170	9	179

Accuracy

100.0%

Counts

179 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.3%	(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x)
✓	99.9%	(fma.f64 (/.f64 y z) y x)
▶	51.8%	(fma.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x)
▶	99.8%	(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x)
✓	93.4%	(+.f64 x (/.f64 (*.f64 y y) z))
✓	99.9%	(+.f64 x (*.f64 (/.f64 y z) y))
▶	53.8%	#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y))
✓	48.3%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	47.5%	#s(approx (+ x (/ (* y y) z)) x)

Compiler

Compiled 83 to 63 computations (24.1% saved)

series54.0ms (3.1%)

Memory

-15.4MiB live, 31.3MiB allocated; 2ms collecting garbage

Counts

18 → 42

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
44.0ms	z	@	-inf	((+ (* (/ y z) y) x) (* (/ y z) y) (/ y z) y z (+ (* (* (/ 1 z) y) y) x) (* (/ 1 z) y) (/ 1 z) 1 x (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) (* (pow z -1/2) y) (pow z -1/2) -1/2 (+ (* (pow z -1) (* y y)) x) (pow z -1) -1 (* y y))
2.0ms	y	@	-inf	((+ (* (/ y z) y) x) (* (/ y z) y) (/ y z) y z (+ (* (* (/ 1 z) y) y) x) (* (/ 1 z) y) (/ 1 z) 1 x (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) (* (pow z -1/2) y) (pow z -1/2) -1/2 (+ (* (pow z -1) (* y y)) x) (pow z -1) -1 (* y y))
2.0ms	y	@	inf	((+ (* (/ y z) y) x) (* (/ y z) y) (/ y z) y z (+ (* (* (/ 1 z) y) y) x) (* (/ 1 z) y) (/ 1 z) 1 x (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) (* (pow z -1/2) y) (pow z -1/2) -1/2 (+ (* (pow z -1) (* y y)) x) (pow z -1) -1 (* y y))
2.0ms	z	@	0	((+ (* (/ y z) y) x) (* (/ y z) y) (/ y z) y z (+ (* (* (/ 1 z) y) y) x) (* (/ 1 z) y) (/ 1 z) 1 x (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) (* (pow z -1/2) y) (pow z -1/2) -1/2 (+ (* (pow z -1) (* y y)) x) (pow z -1) -1 (* y y))
1.0ms	y	@	0	((+ (* (/ y z) y) x) (* (/ y z) y) (/ y z) y z (+ (* (* (/ 1 z) y) y) x) (* (/ 1 z) y) (/ 1 z) 1 x (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) (* (pow z -1/2) y) (pow z -1/2) -1/2 (+ (* (pow z -1) (* y y)) x) (pow z -1) -1 (* y y))

rewrite57.0ms (3.3%)

Memory

22.8MiB live, 75.5MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	728
0	117	674
0	376	658

Stop Event

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

Counts

60 → 118

Calls

Call 1

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

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

eval48.0ms (2.8%)

Memory: -23.4MiB live, 20.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 1 410 to 211 computations (85% saved)

prune6.0ms (0.3%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	105	11	116

Accuracy

100.0%

Counts

116 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.3%	(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x)
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	51.8%	(fma.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x)
▶	51.8%	(fma.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y) x)
✓	99.8%	(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x)
✓	93.4%	(+.f64 x (/.f64 (*.f64 y y) z))
✓	99.9%	(+.f64 x (*.f64 (/.f64 y z) y))
✓	53.8%	#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y))
▶	87.4%	#s(approx (+ (* (/ y z) y) x) (.f64 (+.f64 (/.f64 (/.f64 (.f64 y y) x) z) #s(literal 1 binary64)) x))
✓	48.3%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	47.5%	#s(approx (+ x (/ (* y y) z)) x)

Compiler

Compiled 119 to 90 computations (24.4% saved)

series21.0ms (1.2%)

Memory

-1.2MiB live, 43.2MiB allocated; 4ms collecting garbage

Counts

18 → 41

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	z	@	inf	((+ (* (/ y z) y) x) (* (+ (/ (/ (* y y) x) z) 1) x) (+ (/ (/ (* y y) x) z) 1) (/ (/ (* y y) x) z) (/ (* y y) x) (* y y) y x z 1 (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) (* (pow z -1/2) y) (pow z -1/2) -1/2 (* (pow z -1/2) y) (pow z -1/2) (/ 1 (sqrt z)) (sqrt z))
3.0ms	z	@	-inf	((+ (* (/ y z) y) x) (* (+ (/ (/ (* y y) x) z) 1) x) (+ (/ (/ (* y y) x) z) 1) (/ (/ (* y y) x) z) (/ (* y y) x) (* y y) y x z 1 (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) (* (pow z -1/2) y) (pow z -1/2) -1/2 (* (pow z -1/2) y) (pow z -1/2) (/ 1 (sqrt z)) (sqrt z))
2.0ms	y	@	inf	((+ (* (/ y z) y) x) (* (+ (/ (/ (* y y) x) z) 1) x) (+ (/ (/ (* y y) x) z) 1) (/ (/ (* y y) x) z) (/ (* y y) x) (* y y) y x z 1 (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) (* (pow z -1/2) y) (pow z -1/2) -1/2 (* (pow z -1/2) y) (pow z -1/2) (/ 1 (sqrt z)) (sqrt z))
2.0ms	y	@	-inf	((+ (* (/ y z) y) x) (* (+ (/ (/ (* y y) x) z) 1) x) (+ (/ (/ (* y y) x) z) 1) (/ (/ (* y y) x) z) (/ (* y y) x) (* y y) y x z 1 (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) (* (pow z -1/2) y) (pow z -1/2) -1/2 (* (pow z -1/2) y) (pow z -1/2) (/ 1 (sqrt z)) (sqrt z))
2.0ms	z	@	0	((+ (* (/ y z) y) x) (* (+ (/ (/ (* y y) x) z) 1) x) (+ (/ (/ (* y y) x) z) 1) (/ (/ (* y y) x) z) (/ (* y y) x) (* y y) y x z 1 (+ (* (* (pow z -1/2) y) (* (pow z -1/2) y)) x) (* (pow z -1/2) y) (pow z -1/2) -1/2 (* (pow z -1/2) y) (pow z -1/2) (/ 1 (sqrt z)) (sqrt z))

rewrite64.0ms (3.7%)

Memory

2.6MiB live, 106.7MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	785
0	131	731
0	468	715

Stop Event

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

Counts

59 → 95

Calls

Call 1

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

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

eval10.0ms (0.6%)

Memory: 24.8MiB live, 24.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 396 to 352 computations (85.3% saved)

prune53.0ms (3%)

Memory

-30.1MiB live, 16.0MiB allocated; 4ms collecting garbage

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	0	0	0
Picked	1	1	2
Done	0	9	9
Total	108	11	119

Accuracy

100.0%

Counts

119 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.3%	(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x)
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	51.8%	(fma.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x)
✓	51.8%	(fma.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y) x)
✓	99.8%	(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x)
✓	93.4%	(+.f64 x (/.f64 (*.f64 y y) z))
✓	99.9%	(+.f64 x (*.f64 (/.f64 y z) y))
✓	53.8%	#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y))
	84.3%	#s(approx (+ (* (/ y z) y) x) (.f64 (+.f64 (/.f64 (.f64 y y) (*.f64 x z)) #s(literal 1 binary64)) x))
✓	48.3%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	47.5%	#s(approx (+ x (/ (* y y) z)) x)

Compiler

Compiled 265 to 139 computations (47.5% saved)

regimes42.0ms (2.4%)

Memory

8.7MiB live, 55.0MiB allocated; 4ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

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

Calls

6 calls:

23.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
4.0ms	z
4.0ms	x
4.0ms	y
3.0ms	(*.f64 y y)

Results

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

Compiler

Compiled 18 to 24 computations (-33.3% saved)

regimes12.0ms (0.7%)

Memory

-15.9MiB live, 29.1MiB allocated; 4ms collecting garbage

Counts

3 → 3

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	(*.f64 y y)
2.0ms	x
2.0ms	z
2.0ms	y
1.0ms	(+.f64 x (/.f64 (*.f64 y y) z))

Results

Accuracy	Segments	Branch
81.6%	2	`(*.f64 y y)`
85.2%	3	`(/.f64 (*.f64 y y) z)`
77.8%	3	`(+.f64 x (/.f64 (*.f64 y y) z))`
70.8%	4	`x`
81.6%	2	`y`
65.9%	4	`z`

Compiler

Compiled 18 to 24 computations (-33.3% saved)

regimes4.0ms (0.2%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	y
1.0ms	(*.f64 y y)
1.0ms	(/.f64 (*.f64 y y) z)

Results

Accuracy	Segments	Branch
77.1%	2	`(*.f64 y y)`
77.1%	2	`y`
80.8%	3	`(/.f64 (*.f64 y y) z)`

Compiler

Compiled 9 to 12 computations (-33.3% saved)

regimes6.0ms (0.4%)

Memory

21.2MiB live, 21.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ (* y y) z)) x)

Outputs
#s(approx (+ x (/ (* y y) z)) x)

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
47.5%	1	`z`
47.5%	1	`x`
47.5%	1	`(+.f64 x (/.f64 (*.f64 y y) z))`
47.5%	1	`(*.f64 y y)`
47.5%	1	`y`
47.5%	1	`(/.f64 (*.f64 y y) z)`

Compiler

Compiled 18 to 24 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3718099004690708e-51	1.273738525568942e-46
0.0ms	-1.7785015644928063e-78	-2.8259323896198254e-90

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch25.0ms (1.4%)

Memory

3.3MiB live, 53.0MiB allocated; 8ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.3718099004690708e-51	1.273738525568942e-46
15.0ms	-1.7785015644928063e-78	-2.8259323896198254e-90

Samples

12.0ms

304×

valid

Compiler

Compiled 352 to 316 computations (10.2% saved)

Precisions

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

ival-add!: 1.0ms (90.4% of total)

adjust: 0.0ms (0% of total)

derivations28.0ms (1.6%)

Memory

4.9MiB live, 50.1MiB allocated; 3ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 117 to 29 computations (75.2% saved)

preprocess30.0ms (1.7%)

Memory: -22.2MiB live, 70.3MiB allocated; 8ms collecting garbage
Remove: (abs y)
Compiler: Compiled 496 to 180 computations (63.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze62.0ms (3.6%)

sample817.0ms (47.3%)

explain76.0ms (4.4%)

preprocess12.0ms (0.7%)

series49.0ms (2.8%)

rewrite86.0ms (5%)

eval24.0ms (1.4%)

prune4.0ms (0.2%)

series9.0ms (0.5%)

rewrite103.0ms (5.9%)

eval19.0ms (1.1%)

prune5.0ms (0.3%)

series54.0ms (3.1%)

rewrite57.0ms (3.3%)

eval48.0ms (2.8%)

prune6.0ms (0.3%)

series21.0ms (1.2%)

rewrite64.0ms (3.7%)

eval10.0ms (0.6%)

prune53.0ms (3%)

regimes42.0ms (2.4%)

regimes12.0ms (0.7%)

regimes4.0ms (0.2%)

regimes6.0ms (0.4%)

bsearch1.0ms (0%)

bsearch25.0ms (1.4%)

derivations28.0ms (1.6%)

preprocess30.0ms (1.7%)

end0.0ms (0%)

Profiling