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

analyze76.0ms (4.7%)

Memory

6.5MiB live, 51.2MiB allocated; 10ms 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)

sample692.0ms (42.6%)

Memory

-3.1MiB live, 896.8MiB allocated; 151ms collecting garbage

Samples

407.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-div!: 72.0ms (50.3% of total)

ival-mult!: 49.0ms (34.2% of total)

ival-add!: 20.0ms (14% of total)

adjust: 2.0ms (1.4% of total)

Bogosity

explain102.0ms (6.2%)

Memory

-8.2MiB live, 88.8MiB allocated; 12ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
41	-	1	(1.1590956943491208e-10 -2.1256493560764706e-157 2.0281558197549924e-60)	`(/.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	19	0
↳	`(*.f64 y y)`	overflow	72
`/.f64`	`(/.f64 (*.f64 y y) z)`	u/n	2	0
↳	`(*.f64 y y)`	underflow	64

Confusion

	Predicted +	Predicted -
+	20	0
-	1	235

Precision

0.9523809523809523

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	20	0	0
-	1	0	235

Precision?

0.9523809523809523

Recall?

1.0

Freqs

test

number	freq
0	235
1	21

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-mult!: 3.0ms (42.3% of total)

ival-div!: 3.0ms (42.3% of total)

ival-add!: 1.0ms (14.1% of total)

adjust: 0.0ms (0% of total)

preprocess39.0ms (2.4%)

Memory

-10.3MiB live, 36.6MiB allocated; 3ms 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

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.5%	(+.f64 x (/.f64 (*.f64 y y) z))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series7.0ms (0.4%)

Memory

12.7MiB live, 12.7MiB 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	@	0	((+ x (/ (* y y) z)) x (/ (* y y) z) (* y y) y z)
1.0ms	y	@	-inf	((+ x (/ (* y y) z)) x (/ (* y y) z) (* y y) y z)
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)

rewrite65.0ms (4%)

Memory

15.2MiB live, 61.3MiB allocated; 5ms 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: 14.2MiB live, 14.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 956 to 229 computations (76% saved)

prune19.0ms (1.2%)

Memory

-38.4MiB live, 8.9MiB allocated; 2ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	78	5	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	5	84

Accuracy

100.0%

Counts

84 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 y z) y x)
▶	99.9%	(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) y x)
▶	99.9%	(+.f64 x (*.f64 (/.f64 y z) y))
▶	46.3%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
▶	50.8%	#s(approx (+ x (/ (* y y) z)) x)

Compiler

Compiled 86 to 68 computations (20.9% saved)

series9.0ms (0.6%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Counts

15 → 37

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite213.0ms (13.1%)

Memory

-16.6MiB live, 157.8MiB allocated; 118ms 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)))

eval37.0ms (2.3%)

Memory: 13.1MiB live, 55.3MiB allocated; 12ms collecting garbage
Compiler: Compiled 2 148 to 429 computations (80% saved)

prune28.0ms (1.7%)

Memory

-33.3MiB live, 20.9MiB allocated; 23ms collecting garbage

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	166	6	172
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	167	10	177

Accuracy

100.0%

Counts

177 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
▶	51.8%	(fma.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) y) y x)
	51.8%	(fma.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) (.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) y x)
▶	51.8%	(fma.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x)
▶	99.9%	(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x)
✓	99.9%	(+.f64 x (*.f64 (/.f64 y z) y))
▶	93.7%	#s(approx (+ (* (/ y z) y) x) (fma.f64 (/.f64 (*.f64 (/.f64 y z) y) x) x x))
▶	51.4%	#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y))
✓	46.3%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	50.8%	#s(approx (+ x (/ (* y y) z)) x)

Compiler

Compiled 181 to 129 computations (28.7% saved)

series24.0ms (1.5%)

Memory

-10.0MiB live, 37.8MiB allocated; 5ms collecting garbage

Counts

21 → 53

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	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) (+ (* (/ y z) y) x) (+ (* (/ (* (/ y z) y) x) x) x) (/ (* (/ y z) y) x) (+ (* (* (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) y) (* (pow z -1/2) y)) x) (* (pow z -1/2) y))
3.0ms	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) (+ (* (/ y z) y) x) (+ (* (/ (* (/ y z) y) x) x) x) (/ (* (/ y z) y) x) (+ (* (* (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) y) (* (pow z -1/2) y)) x) (* (pow z -1/2) 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) (+ (* (/ y z) y) x) (+ (* (/ (* (/ y z) y) x) x) x) (/ (* (/ y z) y) x) (+ (* (* (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) y) (* (pow z -1/2) y)) x) (* (pow z -1/2) 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) (+ (* (/ y z) y) x) (+ (* (/ (* (/ y z) y) x) x) x) (/ (* (/ y z) y) x) (+ (* (* (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) y) (* (pow z -1/2) y)) x) (* (pow z -1/2) y))
2.0ms	y	@	0	((+ (* (* (/ 1 z) y) y) x) (* (/ 1 z) y) (/ 1 z) 1 z y x (+ (* (/ y z) y) x) (* (/ y z) y) (/ y z) (+ (* (/ y z) y) x) (+ (* (/ (* (/ y z) y) x) x) x) (/ (* (/ y z) y) x) (+ (* (* (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) y) (* (pow z -1/2) y)) x) (* (pow z -1/2) y))

rewrite46.0ms (2.8%)

Memory

11.7MiB live, 57.4MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	1001
0	151	902
0	450	883

Stop Event

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

Counts

74 → 144

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

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

eval12.0ms (0.8%)

Memory: 20.5MiB live, 20.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 376 to 315 computations (86.7% saved)

prune9.0ms (0.5%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	1	0	1
Picked	0	5	5
Done	0	4	4
Total	150	10	160

Accuracy

100.0%

Counts

160 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	51.8%	(fma.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) y) y x)
✓	51.8%	(fma.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x)
▶	51.8%	(fma.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y) x)
✓	99.9%	(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x)
✓	99.9%	(+.f64 x (*.f64 (/.f64 y z) y))
✓	93.7%	#s(approx (+ (* (/ y z) y) x) (fma.f64 (/.f64 (*.f64 (/.f64 y z) y) x) x x))
✓	51.4%	#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y))
✓	46.3%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	50.8%	#s(approx (+ x (/ (* y y) z)) x)

Compiler

Compiled 113 to 84 computations (25.7% saved)

series39.0ms (2.4%)

Memory

-35.7MiB live, 10.8MiB allocated; 3ms collecting garbage

Counts

12 → 18

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite34.0ms (2.1%)

Memory

30.5MiB live, 30.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	326
0	78	278
0	304	277

Stop Event

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

Counts

30 → 46

Calls

Call 1

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

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

eval16.0ms (1%)

Memory: -32.4MiB live, 13.8MiB allocated; 15ms collecting garbage
Compiler: Compiled 1 035 to 150 computations (85.5% saved)

prune5.0ms (0.3%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	49	10	59

Accuracy

100.0%

Counts

59 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	51.8%	(fma.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) y) y x)
✓	51.8%	(fma.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x)
✓	51.8%	(fma.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y) x)
✓	99.9%	(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) y x)
✓	99.9%	(+.f64 x (*.f64 (/.f64 y z) y))
✓	93.7%	#s(approx (+ (* (/ y z) y) x) (fma.f64 (/.f64 (*.f64 (/.f64 y z) y) x) x x))
✓	51.4%	#s(approx (+ (* (/ y z) y) x) (*.f64 (/.f64 y z) y))
✓	46.3%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	50.8%	#s(approx (+ x (/ (* y y) z)) x)

Compiler

Compiled 253 to 131 computations (48.2% saved)

regimes26.0ms (1.6%)

Memory

4.4MiB live, 49.7MiB allocated; 8ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

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

Calls

6 calls:

7.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
4.0ms	z
4.0ms	x
4.0ms	y
3.0ms	(/.f64 (*.f64 y y) z)

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 (0.8%)

Memory

-15.6MiB live, 28.2MiB allocated; 6ms 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	(*.f64 y y)
2.0ms	z
2.0ms	x
2.0ms	y
2.0ms	(+.f64 x (/.f64 (*.f64 y y) z))

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)

regimes9.0ms (0.6%)

Memory

30.2MiB live, 30.3MiB allocated; 0ms 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:

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

Results

Accuracy	Segments	Branch
84.9%	2	`(*.f64 y y)`
88.3%	3	`(/.f64 (*.f64 y y) z)`
79.7%	3	`(+.f64 x (/.f64 (*.f64 y y) z))`
65.8%	3	`x`
84.9%	2	`y`
66.7%	3	`z`

Compiler

Compiled 18 to 24 computations (-33.3% saved)

regimes4.0ms (0.2%)

Memory

12.6MiB live, 12.5MiB 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
80.3%	2	`(*.f64 y y)`
80.3%	2	`y`
83.6%	3	`(/.f64 (*.f64 y y) z)`

Compiler

Compiled 9 to 12 computations (-33.3% saved)

regimes8.0ms (0.5%)

Memory

-26.7MiB live, 19.0MiB allocated; 3ms 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
50.8%	1	`x`
50.8%	1	`z`
50.8%	1	`(+.f64 x (/.f64 (*.f64 y y) z))`
50.8%	1	`(*.f64 y y)`
50.8%	1	`y`
50.8%	1	`(/.f64 (*.f64 y y) z)`

Compiler

Compiled 18 to 24 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.74147655974698e-9	37318596.93807002
0.0ms	-7.104487908163601e-172	-6.24587841014662e-178

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch25.0ms (1.5%)

Memory

-11.5MiB live, 42.6MiB allocated; 9ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	8.74147655974698e-9	37318596.93807002
9.0ms	-2.644623790767458e-58	-1.5245281263334607e-68

Samples

8.0ms

320×

valid

Compiler

Compiled 370 to 332 computations (10.3% saved)

Precisions

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

ival-add!: 1.0ms (88.9% of total)

adjust: 0.0ms (0% of total)

derivations29.0ms (1.8%)

Memory

7.0MiB live, 52.6MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 124 to 30 computations (75.8% saved)

preprocess29.0ms (1.8%)

Memory: 27.5MiB live, 74.6MiB allocated; 2ms collecting garbage
Remove: (abs y)
Compiler: Compiled 524 to 194 computations (63% 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%)

analyze76.0ms (4.7%)

sample692.0ms (42.6%)

explain102.0ms (6.2%)

preprocess39.0ms (2.4%)

eval0.0ms (0%)

prune0.0ms (0%)

series7.0ms (0.4%)

rewrite65.0ms (4%)

eval8.0ms (0.5%)

prune19.0ms (1.2%)

series9.0ms (0.6%)

rewrite213.0ms (13.1%)

eval37.0ms (2.3%)

prune28.0ms (1.7%)

series24.0ms (1.5%)

rewrite46.0ms (2.8%)

eval12.0ms (0.8%)

prune9.0ms (0.5%)

series39.0ms (2.4%)

rewrite34.0ms (2.1%)

eval16.0ms (1%)

prune5.0ms (0.3%)

regimes26.0ms (1.6%)

regimes14.0ms (0.8%)

regimes9.0ms (0.6%)

regimes4.0ms (0.2%)

regimes8.0ms (0.5%)

bsearch1.0ms (0%)

bsearch25.0ms (1.5%)

derivations29.0ms (1.8%)

preprocess29.0ms (1.8%)

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