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

analyze47.0ms (2.4%)

Memory

-17.9MiB live, 75.1MiB allocated; 17ms 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)

sample582.0ms (29.8%)

Memory

43.8MiB live, 991.6MiB allocated; 102ms collecting garbage

Samples

362.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-mult!: 51.0ms (43.3% of total)

ival-div!: 44.0ms (37.4% of total)

ival-add!: 20.0ms (17% of total)

adjust: 2.0ms (1.7% of total)

Bogosity

explain66.0ms (3.4%)

Memory

-21.6MiB live, 128.9MiB allocated; 8ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
28	1	(-0.0033295720573684033 -4.919226283152138e-210 -2.3996315790919158e-96)	1	(-1.2530372488504681e+271 2.5545376403704557e-161 2.956967368832247e-124)	`(/.f64 (*.f64 y y) z)`
0	0	-	0	-	`(+.f64 x (/.f64 (*.f64 y y) z))`
0	0	-	0	-	`y`
0	0	-	0	-	`(*.f64 y y)`
0	0	-	0	-	`z`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 y y) z)`	o/n	12	0
↳	`(*.f64 y y)`	overflow	56
`/.f64`	`(/.f64 (*.f64 y y) z)`	u/n	2	0
↳	`(*.f64 y y)`	underflow	60

Confusion

	Predicted +	Predicted -
+	14	0
-	0	242

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	14	0	0
-	0	0	242

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	242
1	14

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

22.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-mult!: 3.0ms (41.9% of total)

ival-div!: 3.0ms (41.9% of total)

ival-add!: 1.0ms (14% of total)

adjust: 0.0ms (0% of total)

preprocess11.0ms (0.6%)

Memory

19.7MiB live, 19.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.7%	(+.f64 x (/.f64 (*.f64 y y) z))

Symmetry

(abs y)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series9.0ms (0.5%)

Memory

-28.9MiB live, 17.9MiB allocated; 3ms 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
3.0ms	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	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)

rewrite64.0ms (3.3%)

Memory

-12.2MiB live, 83.4MiB 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)

eval10.0ms (0.5%)

Memory: 22.6MiB live, 22.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 907 to 228 computations (74.9% saved)

prune3.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	4	77

Accuracy

100.0%

Counts

77 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.6%	(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y y) x)
▶	99.9%	(fma.f64 (/.f64 y z) y x)
▶	46.7%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
▶	52.6%	#s(approx (+ x (/ (* y y) z)) x)

Compiler

Compiled 36 to 28 computations (22.2% saved)

series10.0ms (0.5%)

Memory

-26.1MiB live, 21.1MiB allocated; 1ms collecting garbage

Counts

12 → 28

Calls

Call 1

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

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 (+ (* (/ 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 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 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 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 (/ y z) #s(hole binary64 (/ y z)))
#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 y) z)) #s(hole binary64 (/ (+ (* x z) (pow y 2)) 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)))

Calls

9 calls:

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

rewrite80.0ms (4.1%)

Memory

37.4MiB live, 118.0MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	446
0	71	412
1	258	412
0	1831	406

Stop Event

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

Counts

40 → 187

Calls

Call 1

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

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

eval28.0ms (1.5%)

Memory: 5.1MiB live, 61.0MiB allocated; 16ms collecting garbage
Compiler: Compiled 2 233 to 396 computations (82.3% saved)

prune14.0ms (0.7%)

Memory

-20.3MiB live, 22.1MiB allocated; 10ms collecting garbage

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	153	4	157
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	154	7	161

Accuracy

100.0%

Counts

161 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.7%	(fma.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y y) x)
✓	99.9%	(fma.f64 (/.f64 y z) y x)
▶	94.6%	(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x)
✓	46.7%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
▶	49.3%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
▶	26.0%	#s(approx (+ x (/ (* y y) z)) (.f64 (.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)))
✓	52.6%	#s(approx (+ x (/ (* y y) z)) x)

Compiler

Compiled 78 to 57 computations (26.9% saved)

series24.0ms (1.2%)

Memory

10.8MiB live, 51.9MiB allocated; 12ms collecting garbage

Counts

18 → 37

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	z	@	inf	((+ x (/ (* y y) z)) (* (* (pow z -1/2) y) (* (pow z -1/2) y)) (* (pow z -1/2) y) (pow z -1/2) z -1/2 y (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (+ (* (/ 1 z) (* y y)) x) (/ 1 z) 1 (* y y) x (+ (* (pow (pow z -1/2) 2) (* y y)) x) (pow (pow z -1/2) 2) 2)
4.0ms	z	@	-inf	((+ x (/ (* y y) z)) (* (* (pow z -1/2) y) (* (pow z -1/2) y)) (* (pow z -1/2) y) (pow z -1/2) z -1/2 y (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (+ (* (/ 1 z) (* y y)) x) (/ 1 z) 1 (* y y) x (+ (* (pow (pow z -1/2) 2) (* y y)) x) (pow (pow z -1/2) 2) 2)
2.0ms	y	@	-inf	((+ x (/ (* y y) z)) (* (* (pow z -1/2) y) (* (pow z -1/2) y)) (* (pow z -1/2) y) (pow z -1/2) z -1/2 y (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (+ (* (/ 1 z) (* y y)) x) (/ 1 z) 1 (* y y) x (+ (* (pow (pow z -1/2) 2) (* y y)) x) (pow (pow z -1/2) 2) 2)
2.0ms	y	@	inf	((+ x (/ (* y y) z)) (* (* (pow z -1/2) y) (* (pow z -1/2) y)) (* (pow z -1/2) y) (pow z -1/2) z -1/2 y (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (+ (* (/ 1 z) (* y y)) x) (/ 1 z) 1 (* y y) x (+ (* (pow (pow z -1/2) 2) (* y y)) x) (pow (pow z -1/2) 2) 2)
2.0ms	z	@	0	((+ x (/ (* y y) z)) (* (* (pow z -1/2) y) (* (pow z -1/2) y)) (* (pow z -1/2) y) (pow z -1/2) z -1/2 y (+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (+ (* (/ 1 z) (* y y)) x) (/ 1 z) 1 (* y y) x (+ (* (pow (pow z -1/2) 2) (* y y)) x) (pow (pow z -1/2) 2) 2)

rewrite55.0ms (2.8%)

Memory

14.8MiB live, 49.9MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	653
0	116	588
0	381	573

Stop Event

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

Counts

55 → 116

Calls

Call 1

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

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

eval7.0ms (0.4%)

Memory: 14.5MiB live, 14.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 560 to 258 computations (83.5% saved)

prune4.0ms (0.2%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	0	0	0
Picked	2	2	4
Done	0	3	3
Total	96	7	103

Accuracy

100.0%

Counts

103 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.7%	(fma.f64 (pow.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 2 binary64)) (*.f64 y y) x)
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	94.6%	(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x)
✓	46.7%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	49.3%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
▶	26.0%	#s(approx (+ x (/ (* y y) z)) (.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)))
✓	52.6%	#s(approx (+ x (/ (* y y) z)) x)

Compiler

Compiled 88 to 68 computations (22.7% saved)

series41.0ms (2.1%)

Memory

-20.8MiB live, 38.2MiB allocated; 30ms collecting garbage

Counts

17 → 30

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
32.0ms	y	@	0	((+ x (/ (* y y) z)) (* (* (pow z -1/2) y) (* (pow z -1/2) y)) (* (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) (+ (* (pow (pow z -1/2) 2) (* y y)) x) (pow (pow z -1/2) 2) 2 (* y y) x)
3.0ms	z	@	-inf	((+ x (/ (* y y) z)) (* (* (pow z -1/2) y) (* (pow z -1/2) y)) (* (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) (+ (* (pow (pow z -1/2) 2) (* y y)) x) (pow (pow z -1/2) 2) 2 (* y y) x)
1.0ms	y	@	-inf	((+ x (/ (* y y) z)) (* (* (pow z -1/2) y) (* (pow z -1/2) y)) (* (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) (+ (* (pow (pow z -1/2) 2) (* y y)) x) (pow (pow z -1/2) 2) 2 (* y y) x)
1.0ms	y	@	inf	((+ x (/ (* y y) z)) (* (* (pow z -1/2) y) (* (pow z -1/2) y)) (* (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) (+ (* (pow (pow z -1/2) 2) (* y y)) x) (pow (pow z -1/2) 2) 2 (* y y) x)
1.0ms	z	@	0	((+ x (/ (* y y) z)) (* (* (pow z -1/2) y) (* (pow z -1/2) y)) (* (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) (+ (* (pow (pow z -1/2) 2) (* y y)) x) (pow (pow z -1/2) 2) 2 (* y y) x)

rewrite142.0ms (7.3%)

Memory

35.5MiB live, 92.4MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	550
0	104	495
0	385	475

Stop Event

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

Counts

47 → 73

Calls

Call 1

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

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

eval5.0ms (0.3%)

Memory: 15.5MiB live, 15.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 600 to 243 computations (84.8% saved)

prune612.0ms (31.4%)

Memory

-66.0MiB live, 19.3MiB allocated; 926ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	72	7	79

Accuracy

100.0%

Counts

79 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.7%	(fma.f64 (pow.f64 #s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 2 binary64)) (*.f64 y y) x)
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	94.6%	(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y y) x)
✓	46.7%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	49.3%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
✓	26.0%	#s(approx (+ x (/ (* y y) z)) (.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)))
✓	52.6%	#s(approx (+ x (/ (* y y) z)) x)

Compiler

Compiled 220 to 107 computations (51.4% saved)

regimes21.0ms (1.1%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 18 to 24 computations (-33.3% saved)

regimes9.0ms (0.5%)

Memory

12.8MiB live, 12.8MiB 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 z) y))
#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))

Outputs
#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))
#s(approx (+ x (/ (* y y) z)) x)
#s(approx (+ x (/ (* y y) z)) (*.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
81.7%	2	`(*.f64 y y)`
87.0%	3	`(/.f64 (*.f64 y y) z)`
78.6%	3	`(+.f64 x (/.f64 (*.f64 y y) z))`
68.8%	3	`x`
81.7%	2	`y`
71.3%	3	`z`

Compiler

Compiled 18 to 24 computations (-33.3% saved)

regimes62.0ms (3.2%)

Memory

-75.4MiB live, 10.4MiB allocated; 55ms 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:

57.0ms	z
1.0ms	x
1.0ms	y
1.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
1.0ms	(/.f64 (*.f64 y y) z)

Results

Accuracy	Segments	Branch
52.6%	1	`x`
52.6%	1	`z`
52.6%	1	`(+.f64 x (/.f64 (*.f64 y y) z))`
52.6%	1	`(*.f64 y y)`
52.6%	1	`y`
52.6%	1	`(/.f64 (*.f64 y y) z)`

Compiler

Compiled 18 to 24 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.6749633586607306e+62	2.0670524714444193e+72
0.0ms	-3.703108174088208e+78	-6.656449338942271e+67

Compiler

Compiled 10 to 12 computations (-20% saved)

derivations24.0ms (1.2%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 66 to 19 computations (71.2% saved)

preprocess20.0ms (1%)

Memory: 29.1MiB live, 29.1MiB allocated; 0ms collecting garbage
Remove: (abs y)
Compiler: Compiled 292 to 122 computations (58.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze47.0ms (2.4%)

sample582.0ms (29.8%)

explain66.0ms (3.4%)

preprocess11.0ms (0.6%)

series9.0ms (0.5%)

rewrite64.0ms (3.3%)

eval10.0ms (0.5%)

prune3.0ms (0.1%)

series10.0ms (0.5%)

rewrite80.0ms (4.1%)

eval28.0ms (1.5%)

prune14.0ms (0.7%)

series24.0ms (1.2%)

rewrite55.0ms (2.8%)

eval7.0ms (0.4%)

prune4.0ms (0.2%)

series41.0ms (2.1%)

rewrite142.0ms (7.3%)

eval5.0ms (0.3%)

prune612.0ms (31.4%)

regimes21.0ms (1.1%)

regimes9.0ms (0.5%)

regimes62.0ms (3.2%)

bsearch1.0ms (0%)

derivations24.0ms (1.2%)

preprocess20.0ms (1%)

end0.0ms (0%)

Profiling