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

analyze68.0ms (4.1%)

Memory

17.3MiB live, 74.8MiB allocated; 38ms 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)

sample888.0ms (53.2%)

Memory

-5.2MiB live, 964.7MiB allocated; 343ms collecting garbage

Samples

621.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 200.0ms

ival-mult: 82.0ms (41% of total)

ival-div: 74.0ms (37% of total)

ival-add: 39.0ms (19.5% of total)

ival-assert: 3.0ms (1.5% of total)

adjust: 2.0ms (1% of total)

Bogosity

explain93.0ms (5.6%)

Memory

-36.2MiB live, 102.5MiB allocated; 21ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
37	-	2	(-1.925431762824913e-157 -3.465025571960356e-156 6.412081825804652e-219)	`(/.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	16	0
↳	`(*.f64 y y)`	overflow	65
`/.f64`	`(/.f64 (*.f64 y y) z)`	u/n	7	0
↳	`(*.f64 y y)`	underflow	58

Confusion

	Predicted +	Predicted -
+	23	1
-	0	232

Precision

1.0

Recall

0.9583333333333334

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	23	0	1
-	0	0	232

Precision?

1.0

Recall?

0.9583333333333334

Freqs

test

number	freq
0	233
1	23

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-add: 8.0ms (48.8% of total)

ival-mult: 4.0ms (24.4% of total)

ival-div: 3.0ms (18.3% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess19.0ms (1.1%)

Memory

31.9MiB live, 31.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	75
1	70	73
2	177	73
3	341	73
4	584	73
5	622	73
0	6	7
0	9	7
1	16	7
2	36	7
3	77	7
4	116	7
5	132	7
6	140	7
0	140	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

Compiler

Compiled 7 to 6 computations (14.3% 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

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.9%	(+.f64 x (/.f64 (*.f64 y y) z))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series7.0ms (0.4%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms 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
1.0ms	y	@	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	z	@	-inf	((+ x (/ (* y y) z)) x (/ (* y y) z) (* y y) y z)
1.0ms	x	@	-inf	((+ x (/ (* y y) z)) x (/ (* y y) z) (* y y) y z)

rewrite93.0ms (5.6%)

Memory

-34.6MiB live, 64.1MiB allocated; 20ms 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)

eval8.0ms (0.5%)

Memory: 15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 956 to 229 computations (76% saved)

prune5.0ms (0.3%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	77	6	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	6	84

Accuracy

100.0%

Counts

84 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.8%	(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)
▶	99.9%	(+.f64 x (*.f64 (/.f64 y z) y))
▶	46.5%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
▶	48.5%	#s(approx (+ x (/ (* y y) z)) x)

Compiler

Compiled 102 to 82 computations (19.6% saved)

series11.0ms (0.7%)

Memory

-25.3MiB live, 21.0MiB allocated; 3ms 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
4.0ms	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)
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	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)

rewrite81.0ms (4.9%)

Memory

20.6MiB live, 110.3MiB allocated; 22ms 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)))

eval21.0ms (1.2%)

Memory: -16.0MiB live, 29.0MiB allocated; 9ms collecting garbage
Compiler: Compiled 2 148 to 429 computations (80% saved)

prune7.0ms (0.4%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	168	4	172
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	169	9	178

Accuracy

100.0%

Counts

178 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.8%	(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 y y)) x)
▶	91.8%	(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x)
✓	99.9%	(fma.f64 (/.f64 y z) y x)
▶	53.4%	(fma.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) y) y x)
▶	99.8%	(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x)
✓	99.9%	(+.f64 x (*.f64 (/.f64 y z) y))
▶	53.6%	#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y))
✓	46.5%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	48.5%	#s(approx (+ x (/ (* y y) z)) x)

Compiler

Compiled 137 to 107 computations (21.9% saved)

series17.0ms (1%)

Memory

-21.1MiB live, 25.2MiB allocated; 4ms collecting garbage

Counts

22 → 54

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite39.0ms (2.3%)

Memory

29.9MiB live, 29.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	976
0	149	877
0	452	859

Stop Event

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

Counts

76 → 159

Calls

Call 1

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

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

eval11.0ms (0.7%)

Memory: 15.2MiB live, 15.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 678 to 262 computations (84.4% saved)

prune24.0ms (1.4%)

Memory

-32.9MiB live, 12.9MiB allocated; 4ms collecting garbage

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	127	3	130
Fresh	0	0	0
Picked	2	3	5
Done	0	4	4
Total	129	10	139

Accuracy

100.0%

Counts

139 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.8%	(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) y) x)
▶	48.8%	(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (.f64 y y)) x)
✓	91.8%	(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x)
✓	99.9%	(fma.f64 (/.f64 y z) y x)
▶	53.4%	(fma.f64 (*.f64 (pow.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 2 binary64)) y) y x)
✓	99.8%	(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x)
✓	99.9%	(+.f64 x (*.f64 (/.f64 y z) y))
✓	53.6%	#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y))
✓	46.5%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	48.5%	#s(approx (+ x (/ (* y y) z)) x)

Compiler

Compiled 108 to 85 computations (21.3% saved)

series14.0ms (0.8%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms collecting garbage

Counts

19 → 43

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite54.0ms (3.2%)

Memory

-15.7MiB live, 34.7MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	871
0	135	745
0	445	717

Stop Event

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

Counts

62 → 105

Calls

Call 1

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

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

eval10.0ms (0.6%)

Memory: 18.8MiB live, 18.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 331 to 311 computations (86.7% saved)

prune11.0ms (0.7%)

Memory

-29.8MiB live, 16.1MiB allocated; 7ms collecting garbage

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	0	0
Picked	0	3	3
Done	0	7	7
Total	128	10	138

Accuracy

100.0%

Counts

138 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.8%	(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) y) x)
✓	48.8%	(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (.f64 y y)) x)
✓	91.8%	(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x)
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	53.4%	(fma.f64 (*.f64 (pow.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 2 binary64)) y) y x)
✓	99.8%	(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x)
✓	99.9%	(+.f64 x (*.f64 (/.f64 y z) y))
✓	53.6%	#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y))
✓	46.5%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	48.5%	#s(approx (+ x (/ (* y y) z)) x)

Compiler

Compiled 253 to 134 computations (47% saved)

regimes24.0ms (1.4%)

Memory

43.0MiB live, 43.0MiB allocated; 0ms collecting garbage

Counts

14 → 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)
(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 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 2 binary64)) y) y x)
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (.f64 y y)) x)
(fma.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) y) y x)
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) 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)

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

Calls

6 calls:

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

regimes14.0ms (0.9%)

Memory

-14.6MiB live, 29.1MiB allocated; 5ms collecting garbage

Counts

4 → 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)

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

Calls

6 calls:

5.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
2.0ms	(*.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)

regimes13.0ms (0.8%)

Memory

-20.0MiB live, 25.6MiB 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:

5.0ms	(*.f64 y y)
2.0ms	z
2.0ms	x
2.0ms	y
1.0ms	(+.f64 x (/.f64 (*.f64 y y) z))

Results

Accuracy	Segments	Branch
82.1%	2	`(*.f64 y y)`
88.2%	3	`(/.f64 (*.f64 y y) z)`
78.9%	3	`(+.f64 x (/.f64 (*.f64 y y) z))`
70.7%	3	`x`
82.1%	2	`y`
65.5%	3	`z`

Compiler

Compiled 18 to 24 computations (-33.3% saved)

regimes4.0ms (0.2%)

Memory

9.5MiB live, 9.4MiB 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
76.7%	2	`(*.f64 y y)`
76.7%	2	`y`
82.8%	3	`(/.f64 (*.f64 y y) z)`

Compiler

Compiled 9 to 12 computations (-33.3% saved)

regimes6.0ms (0.4%)

Memory

18.4MiB live, 18.4MiB 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	y
1.0ms	z
1.0ms	x
1.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
48.5%	1	`z`
48.5%	1	`x`
48.5%	1	`(*.f64 y y)`
48.5%	1	`y`
48.5%	1	`(+.f64 x (/.f64 (*.f64 y y) z))`
48.5%	1	`(/.f64 (*.f64 y y) z)`

Compiler

Compiled 18 to 24 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.024265532248751e-60	1.6860289853325638e-59
0.0ms	-1.867679059044103e-18	-8.998224645669664e-46

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch56.0ms (3.3%)

Memory

-15.4MiB live, 38.0MiB allocated; 60ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	4.024265532248751e-60	1.6860289853325638e-59
47.0ms	-1.867679059044103e-18	-8.998224645669664e-46

Samples

43.0ms

272×

valid

Compiler

Compiled 316 to 284 computations (10.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-add: 2.0ms (104.7% of total)

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

adjust: 0.0ms (0% of total)

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

simplify12.0ms (0.7%)

Memory

25.3MiB live, 25.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	100
1	43	100
2	65	100
3	112	100
4	153	100
5	169	100

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (*.f64 (/.f64 y z) y))
(fma.f64 (/.f64 y z) y x)
(if (<=.f64 (/.f64 (.f64 y y) z) #s(literal -1298074214633707/1298074214633706907132624082305024 binary64)) #s(approx (+ ( (/ y z) y) x) (.f64 (/.f64 y z) y)) (if (<=.f64 (/.f64 (.f64 y y) z) #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (+ x (/ (* y y) z)) x) #s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y))))
(if (<=.f64 (/.f64 (.f64 y y) z) #s(literal -3628949440770425/98079714615416886934934209737619787751599303819750539264 binary64)) #s(approx (+ x (/ ( y y) z)) (/.f64 (.f64 y y) z)) (if (<=.f64 (/.f64 (.f64 y y) z) #s(literal 3754196643241111/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) #s(approx (+ x (/ (* y y) z)) x) #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))))
#s(approx (+ x (/ (* y y) z)) x)

Outputs
(+.f64 x (*.f64 (/.f64 y z) y))
(fma.f64 (/.f64 y z) y x)
(if (<=.f64 (/.f64 (.f64 y y) z) #s(literal -1298074214633707/1298074214633706907132624082305024 binary64)) #s(approx (+ ( (/ y z) y) x) (.f64 (/.f64 y z) y)) (if (<=.f64 (/.f64 (.f64 y y) z) #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (+ x (/ (* y y) z)) x) #s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y))))
(if (or (<=.f64 (/.f64 (.f64 y y) z) #s(literal -1298074214633707/1298074214633706907132624082305024 binary64)) (not (<=.f64 (/.f64 (.f64 y y) z) #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)))) #s(approx (+ (* (/ y z) y) x) (.f64 (/.f64 y z) y)) #s(approx (+ ( (/ y z) y) x) x))
(if (<=.f64 (/.f64 (.f64 y y) z) #s(literal -3628949440770425/98079714615416886934934209737619787751599303819750539264 binary64)) #s(approx (+ x (/ ( y y) z)) (/.f64 (.f64 y y) z)) (if (<=.f64 (/.f64 (.f64 y y) z) #s(literal 3754196643241111/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) #s(approx (+ x (/ (* y y) z)) x) #s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))))
(if (or (<=.f64 (/.f64 (.f64 y y) z) #s(literal -3628949440770425/98079714615416886934934209737619787751599303819750539264 binary64)) (not (<=.f64 (/.f64 (.f64 y y) z) #s(literal 3754196643241111/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)))) #s(approx (+ (* (/ y z) y) x) (/.f64 (.f64 y y) z)) #s(approx (+ ( (/ y z) y) x) x))
#s(approx (+ x (/ (* y y) z)) x)
#s(approx (+ (* (/ y z) y) x) x)

derivations28.0ms (1.7%)

Memory

-15.7MiB live, 32.0MiB allocated; 13ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 100 to 29 computations (71% saved)

preprocess31.0ms (1.9%)

Memory: -28.5MiB live, 65.5MiB allocated; 7ms collecting garbage
Remove: (abs y)
Compiler: Compiled 256 to 106 computations (58.6% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	26	75
1	70	73
2	177	73
3	341	73
4	584	73
5	622	73
0	6	7
0	9	7
1	16	7
2	36	7
3	77	7
4	116	7
5	132	7
6	140	7
0	140	6

Iter	Nodes	Cost
0	26	75
1	70	73
2	177	73
3	341	73
4	584	73
5	622	73
0	6	7
0	9	7
1	16	7
2	36	7
3	77	7
4	116	7
5	132	7
6	140	7
0	140	6

start0.0ms (0%)

analyze68.0ms (4.1%)

sample888.0ms (53.2%)

explain93.0ms (5.6%)

preprocess19.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

series7.0ms (0.4%)

rewrite93.0ms (5.6%)

eval8.0ms (0.5%)

prune5.0ms (0.3%)

series11.0ms (0.7%)

rewrite81.0ms (4.9%)

eval21.0ms (1.2%)

prune7.0ms (0.4%)

series17.0ms (1%)

rewrite39.0ms (2.3%)

eval11.0ms (0.7%)

prune24.0ms (1.4%)

series14.0ms (0.8%)

rewrite54.0ms (3.2%)

eval10.0ms (0.6%)

prune11.0ms (0.7%)

regimes24.0ms (1.4%)

regimes14.0ms (0.9%)

regimes13.0ms (0.8%)

regimes4.0ms (0.2%)

regimes6.0ms (0.4%)

bsearch1.0ms (0%)

bsearch56.0ms (3.3%)

simplify12.0ms (0.7%)

derivations28.0ms (1.7%)

preprocess31.0ms (1.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	26	75
1	70	73
2	177	73
3	341	73
4	584	73
5	622	73
0	6	7
0	9	7
1	16	7
2	36	7
3	77	7
4	116	7
5	132	7
6	140	7
0	140	6