Metrics for Statistics.Distribution.Beta:$cvariance from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze75.0ms (0.9%)

Memory

33.6MiB live, 113.5MiB allocated

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
75%	74.9%	25%	0.1%	0%	0%	0%	10
75%	74.9%	25%	0.1%	0%	0%	0%	11
75%	74.9%	25%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.3s (15.6%)

Memory

-129.0MiB live, 1 154.1MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 840.0ms

ival-mult: 716.0ms (85.2% of total)

ival-div: 67.0ms (8% of total)

ival-add: 43.0ms (5.1% of total)

ival-true: 6.0ms (0.7% of total)

exact: 5.0ms (0.6% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain155.0ms (1.8%)

Memory

-9.5MiB live, 240.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
31	-	3	(1.4122801660159146e-37 -3.38620575733784e-205 5.1492773122284e-157)	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`(+.f64 z #s(literal 1 binary64))`
0	-	0	-	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`y`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	o/o	10	0
↳	`(*.f64 x y)`	overflow	35
↳	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`	overflow	74
↳	`(*.f64 z z)`	overflow	63
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	u/n	7	0
↳	`(*.f64 x y)`	underflow	23
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	n/u	6	0
↳	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`	underflow	60
↳	`(*.f64 z z)`	underflow	60
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	n/o	3	0
↳	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`	overflow	74
↳	`(*.f64 z z)`	overflow	63
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	u/u	2	0
↳	`(*.f64 x y)`	underflow	23
↳	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`	underflow	60
↳	`(*.f64 z z)`	underflow	60

Confusion

	Predicted +	Predicted -
+	28	3
-	0	225

Precision

1.0

Recall

0.9032258064516129

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	28	0	3
-	0	0	225

Precision?

1.0

Recall?

0.9032258064516129

Freqs

test

number	freq
0	228
1	28

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 139 to 55 computations (60.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 10.0ms (59.6% of total)

ival-div: 3.0ms (17.9% of total)

ival-add: 3.0ms (17.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess52.0ms (0.6%)

Memory

3.1MiB live, 78.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	110
1	149	102
2	639	101
3	3258	99
4	5642	99
0	9	11
0	14	11
1	34	11
2	82	11
3	180	11
4	239	11
5	243	11
0	243	10

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs y)

(negabs x)

(sort x y)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.7%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify6.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 z #s(literal 1 binary64))
cost-diff	0	(*.f64 z z)
cost-diff	0	(*.f64 x y)
cost-diff	128	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
0	14	31
1	34	31
2	82	31
3	180	31
4	239	31
5	243	31
0	243	29

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize46.0ms (0.5%)

Memory

-15.4MiB live, 23.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 x y)
accuracy	0.04296875	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
accuracy	6.492142026303688	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))

Samples

40.0ms

256×

valid

Compiler

Compiled 64 to 20 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 27.0ms (85.2% of total)

ival-div: 3.0ms (9.5% of total)

ival-add: 1.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

5 → 21

Calls

Call 1

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

Outputs
(* x y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(pow z 2)
(* (pow z 2) (+ 1 z))
1
(+ 1 z)
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
z
(* z (+ 1 (/ 1 z)))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))

Calls

9 calls:

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

simplify202.0ms (2.3%)

Memory

4.3MiB live, 201.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	244
1	202	225
2	575	207
3	3500	189
0	8385	184

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 20

Calls

Call 1

Inputs
(* x y)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(pow z 2)
(* (pow z 2) (+ 1 z))
1
(+ 1 z)
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
z
(* z (+ 1 (/ 1 z)))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))

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

rewrite174.0ms (2%)

Memory

3.9MiB live, 194.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
0	14	27
1	55	27
2	338	27
3	3204	27
0	8488	25

Stop Event

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

Counts

5 → 483

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) z) z) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) z) z) (fma.f64 z z #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (fma.f64 z z (pow.f64 z #s(literal 5 binary64))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 z z #s(literal -1 binary64)) z))
(.f64 (/.f64 (fma.f64 z z (pow.f64 z #s(literal 5 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 (-.f64 #s(literal 1 binary64) z) (.f64 z z)) (pow.f64 z #s(literal 4 binary64))))
(*.f64 (neg.f64 (neg.f64 z)) (fma.f64 z z z))
(.f64 (neg.f64 (.f64 (neg.f64 z) z)) (+.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) z) z) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 z z (pow.f64 z #s(literal 5 binary64))) (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 (neg.f64 z) (neg.f64 (fma.f64 z z z)))
(.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 9 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (.f64 (neg.f64 z) z))
(.f64 (.f64 (neg.f64 z) z) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 z) (fma.f64 z z z)))
(*.f64 (fma.f64 z z z) (/.f64 z #s(literal 1 binary64)))
(*.f64 (fma.f64 z z z) z)
(.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 z z)))
(.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 z (/.f64 z (-.f64 z #s(literal 1 binary64)))))
(.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 z z) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (*.f64 z z)))
(.f64 (.f64 (fma.f64 z z z) z) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 (.f64 z z) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) z) (neg.f64 (.f64 (neg.f64 z) z)))
(.f64 (+.f64 #s(literal 1 binary64) z) (.f64 z z))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z z) z))
(.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) z))
(*.f64 z (/.f64 (fma.f64 z z z) #s(literal 1 binary64)))
(*.f64 z (neg.f64 (neg.f64 (fma.f64 z z z))))
(*.f64 z (fma.f64 z z z))
(pow.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 z z #s(literal -1 binary64)) z) z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 z (.f64 z (-.f64 z #s(literal 1 binary64)))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 9 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 z z z) z) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) (.f64 z (.f64 z (-.f64 z #s(literal 1 binary64))))) (.f64 (.f64 z (.f64 z (-.f64 z #s(literal 1 binary64)))) (pow.f64 z #s(literal 4 binary64)))) (.f64 (.f64 z (.f64 z (-.f64 z #s(literal 1 binary64)))) (.f64 z (*.f64 z (-.f64 z #s(literal 1 binary64))))))
(/.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (.f64 (.f64 z z) (neg.f64 (fma.f64 z z #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (.f64 (.f64 z z) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64))) (-.f64 (*.f64 z z) (pow.f64 z #s(literal 3 binary64))))
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(/.f64 (.f64 (.f64 (/.f64 x (.f64 z z)) y) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 z z #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (/.f64 x (.f64 z z)) y) (fma.f64 z z #s(literal -1 binary64))) (.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (.f64 (.f64 (/.f64 x (.f64 z z)) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)))) (.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 z z #s(literal -1 binary64)) z)))
(/.f64 (.f64 (.f64 (/.f64 x (.f64 z z)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 y (/.f64 x z)) #s(literal 1 binary64)) (fma.f64 z z z))
(/.f64 (.f64 (.f64 (neg.f64 x) y) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (fma.f64 z z z)))
(/.f64 (*.f64 (neg.f64 y) (/.f64 x z)) (neg.f64 (fma.f64 z z z)))
(/.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (*.f64 z (/.f64 z x))))
(/.f64 (.f64 y #s(literal 1 binary64)) (.f64 z (/.f64 (fma.f64 z z z) x)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) (*.f64 (neg.f64 z) z)))
(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) (*.f64 z z)))
(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 (*.f64 (/.f64 x z) (neg.f64 y)) (neg.f64 (fma.f64 z z z)))
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (*.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 (fma.f64 z z z) y))
(/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (*.f64 (neg.f64 z) z) (/.f64 (+.f64 #s(literal 1 binary64) z) y)))
(/.f64 (.f64 x #s(literal 1 binary64)) (.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 (*.f64 z (/.f64 z x)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) y) (.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) z)
(/.f64 (/.f64 (.f64 y (/.f64 x z)) (.f64 (fma.f64 z z #s(literal -1 binary64)) z)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(/.f64 (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) (.f64 z z))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 z z z) x) y))
(/.f64 (*.f64 y (/.f64 x z)) (fma.f64 z z z))
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 z (/.f64 z y)) x))
(/.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) x) y))
(/.f64 (/.f64 (/.f64 y z) z) (/.f64 (+.f64 #s(literal 1 binary64) z) x))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z y)))
(/.f64 (/.f64 y z) (/.f64 (fma.f64 z z z) x))
(/.f64 (/.f64 x z) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) z))
(/.f64 (/.f64 x z) (/.f64 (fma.f64 z z z) y))
(/.f64 (*.f64 (neg.f64 x) (/.f64 (/.f64 y z) z)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 (/.f64 (fma.f64 z z z) x) y)))
(/.f64 (.f64 (/.f64 x (.f64 z z)) y) (+.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) z)) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x)))
(/.f64 (/.f64 x (*.f64 z z)) (/.f64 (+.f64 #s(literal 1 binary64) z) y))
(/.f64 (.f64 (neg.f64 x) y) (.f64 (neg.f64 z) (fma.f64 z z z)))
(/.f64 (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y) #s(literal 1 binary64))
(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z z) (*.f64 y (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (fma.f64 z z z) x) y) z))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (fma.f64 z z z) x) y) z)))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z)))))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))))
(fma.f64 (/.f64 (.f64 y (/.f64 x z)) (.f64 (fma.f64 z z #s(literal -1 binary64)) z)) z (.f64 (/.f64 (.f64 y (/.f64 x z)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z) (.f64 (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (.f64 z z)))
(fma.f64 (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (.f64 z z) (.f64 (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (.f64 (.f64 z z) (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))))
(fma.f64 (.f64 z z) (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))))
(fma.f64 z (/.f64 (.f64 y (/.f64 x z)) (.f64 (fma.f64 z z #s(literal -1 binary64)) z)) (.f64 #s(literal -1 binary64) (/.f64 (.f64 y (/.f64 x z)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) z))))
(-.f64 (/.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 z (/.f64 z y)) x)) (/.f64 (/.f64 z (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 z (/.f64 z y)) x)))
(-.f64 (/.f64 (/.f64 z (fma.f64 z z #s(literal -1 binary64))) (/.f64 (.f64 z (/.f64 z y)) x)) (/.f64 (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 z (/.f64 z y)) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 z) z)) (+.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 z) (fma.f64 z z z))) #s(literal 1 binary64)) (/.f64 (.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (fma.f64 z z z) z)) (.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 z) (fma.f64 z z z))) (.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 y (fma.f64 z z z))))
(exp.f64 (.f64 (-.f64 (log1p.f64 z) (log.f64 (.f64 (/.f64 x (*.f64 z z)) y))) #s(literal -1 binary64)))
(+.f64 (.f64 z (/.f64 (.f64 y (/.f64 x z)) (.f64 (fma.f64 z z #s(literal -1 binary64)) z))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 y (/.f64 x z)) (.f64 (fma.f64 z z #s(literal -1 binary64)) z))))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) (.f64 (.f64 z z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))))
(+.f64 (.f64 (.f64 z z) (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64))))))
(+.f64 (.f64 (/.f64 (.f64 y (/.f64 x z)) (.f64 (fma.f64 z z #s(literal -1 binary64)) z)) z) (.f64 (/.f64 (.f64 y (/.f64 x z)) (.f64 (fma.f64 z z #s(literal -1 binary64)) z)) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (*.f64 z z)))
(+.f64 (.f64 (/.f64 (.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (.f64 z z)) (.f64 (/.f64 (*.f64 y x) (fma.f64 z z (pow.f64 z #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) z)))

eval86.0ms (1%)

Memory: -12.2MiB live, 120.7MiB allocated
Compiler: Compiled 9 190 to 1 518 computations (83.5% saved)

prune40.0ms (0.5%)

Memory

-4.7MiB live, 34.0MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	486	12	498
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	486	13	499

Accuracy

100.0%

Counts

499 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(/.f64 (/.f64 (*.f64 y (/.f64 x z)) (+.f64 #s(literal 1 binary64) z)) z)
	97.9%	(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x)))
	96.7%	(/.f64 (/.f64 x z) (/.f64 (fma.f64 z z z) y))
	96.0%	(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
▶	96.6%	(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
▶	89.7%	(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
✓	89.7%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
▶	73.6%	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
	94.7%	(/.f64 (.f64 #s(literal 1 binary64) y) (.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)))
	95.4%	(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
▶	90.5%	(.f64 (neg.f64 y) (/.f64 x (.f64 (neg.f64 z) (fma.f64 z z z))))
	89.7%	(.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z))))
	76.9%	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))

Compiler

Compiled 297 to 219 computations (26.3% saved)

simplify245.0ms (2.8%)

Memory

-7.9MiB live, 67.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 z z z)
cost-diff	0	(/.f64 x z)
cost-diff	0	(*.f64 (/.f64 x z) y)
cost-diff	0	(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) (fma.f64 z z z))
cost-diff	0	(neg.f64 y)
cost-diff	256	(.f64 (neg.f64 y) (/.f64 x (.f64 (neg.f64 z) (fma.f64 z z z))))
cost-diff	-384	(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
cost-diff	0	(fma.f64 z z z)
cost-diff	0	(*.f64 (fma.f64 z z z) z)
cost-diff	0	(*.f64 y x)
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
cost-diff	0	(*.f64 x y)
cost-diff	0	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
cost-diff	0	(/.f64 x z)
cost-diff	0	(*.f64 y (/.f64 x z))
cost-diff	0	(/.f64 (/.f64 (*.f64 y (/.f64 x z)) (+.f64 #s(literal 1 binary64) z)) z)
cost-diff	512	(/.f64 (*.f64 y (/.f64 x z)) (+.f64 #s(literal 1 binary64) z))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	160
0	46	161
1	103	154
2	220	154
3	626	154
4	2782	154
5	4339	154
6	4900	154
7	5031	154
8	5113	154
9	5151	154
10	5192	154
11	5660	154
12	5868	154
13	5868	154
14	6007	154
15	6052	154
16	6108	154
17	6140	154
18	6144	154
19	6148	154
20	6148	154
21	6148	154
0	6148	154

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize87.0ms (1%)

Memory

9.7MiB live, 165.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 z z z)
accuracy	0	(/.f64 x z)
accuracy	2.0099584043046654	(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
accuracy	3.794248849435831	(*.f64 (/.f64 x z) y)
accuracy	0	(neg.f64 y)
accuracy	0.05078125	(*.f64 (neg.f64 z) (fma.f64 z z z))
accuracy	3.3921834389537158	(.f64 (neg.f64 y) (/.f64 x (.f64 (neg.f64 z) (fma.f64 z z z))))
accuracy	5.531850909316967	(/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))
accuracy	0	(fma.f64 z z z)
accuracy	0	(*.f64 y x)
accuracy	0.05078125	(*.f64 (fma.f64 z z z) z)
accuracy	6.492142026303688	(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 x y)
accuracy	6.492142026303688	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
accuracy	20.611411578644898	#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy	0	(+.f64 #s(literal 1 binary64) z)
accuracy	0.30117884269187856	(/.f64 (*.f64 y (/.f64 x z)) (+.f64 #s(literal 1 binary64) z))
accuracy	0.5835496017724303	(/.f64 (/.f64 (*.f64 y (/.f64 x z)) (+.f64 #s(literal 1 binary64) z)) z)
accuracy	3.794248849435831	(*.f64 y (/.f64 x z))

Samples

68.0ms

256×

valid

Compiler

Compiled 323 to 55 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 29.0ms (59.1% of total)

ival-div: 14.0ms (28.6% of total)

ival-add: 4.0ms (8.2% of total)

ival-neg: 2.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.4%)

Memory

19.4MiB live, 62.2MiB allocated

Counts

20 → 55

Calls

Call 1

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

Outputs
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) z)
(/ x z)
(* x y)
(/ (* x y) (* z (+ z (pow z 2))))
(* -1 (/ x (* z (+ z (pow z 2)))))
(* -1 y)
(/ (+ (* -1 (* x (* y z))) (* x y)) z)
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z)
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
z
(* z (+ 1 z))
(* -1 (pow z 2))
(* (pow z 2) (- (* -1 z) 1))
(* -1 z)
1
(+ 1 z)
(* -1 (/ x (pow z 2)))
(/ (+ (* -1 x) (* x z)) (pow z 2))
(/ (+ (* -1 x) (* z (+ x (* -1 (* x z))))) (pow z 2))
(/ (+ (* -1 x) (* z (+ x (* z (+ (* -1 x) (* x z)))))) (pow z 2))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(* -1 (pow z 3))
(* -1 (* (pow z 3) (+ 1 (/ 1 z))))
(* z (+ 1 (/ 1 z)))
(* -1 (/ x (pow z 3)))
(/ (+ (* -1 x) (/ x z)) (pow z 3))
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (+ (/ x z) (/ x (pow z 3))))) (pow z 3))
(/ (+ (* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z)) (* x y)) (pow z 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z)) (* x y)) z)) (* x y)) (pow z 2))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(* -1 (/ (+ x (* -1 (/ x z))) (pow z 3)))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 3)))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 3)))

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	((/ (* y (/ x z)) (+ 1 z)) (/ (/ (* y (/ x z)) (+ 1 z)) z) (* y (/ x z)) (/ x z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* y x) (* (+ (* z z) z) z) (+ (* z z) z) (/ (* y x) (* (+ (* z z) z) z)) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (* (neg z) (+ (* z z) z)) (neg z) (/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (+ 1 z) (/ x (* (neg z) (+ (* z z) z))))
5.0ms	z	@	inf	((/ (* y (/ x z)) (+ 1 z)) (/ (/ (* y (/ x z)) (+ 1 z)) z) (* y (/ x z)) (/ x z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* y x) (* (+ (* z z) z) z) (+ (* z z) z) (/ (* y x) (* (+ (* z z) z) z)) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (* (neg z) (+ (* z z) z)) (neg z) (/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (+ 1 z) (/ x (* (neg z) (+ (* z z) z))))
5.0ms	y	@	0	((/ (* y (/ x z)) (+ 1 z)) (/ (/ (* y (/ x z)) (+ 1 z)) z) (* y (/ x z)) (/ x z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* y x) (* (+ (* z z) z) z) (+ (* z z) z) (/ (* y x) (* (+ (* z z) z) z)) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (* (neg z) (+ (* z z) z)) (neg z) (/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (+ 1 z) (/ x (* (neg z) (+ (* z z) z))))
4.0ms	x	@	-inf	((/ (* y (/ x z)) (+ 1 z)) (/ (/ (* y (/ x z)) (+ 1 z)) z) (* y (/ x z)) (/ x z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* y x) (* (+ (* z z) z) z) (+ (* z z) z) (/ (* y x) (* (+ (* z z) z) z)) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (* (neg z) (+ (* z z) z)) (neg z) (/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (+ 1 z) (/ x (* (neg z) (+ (* z z) z))))
3.0ms	y	@	-inf	((/ (* y (/ x z)) (+ 1 z)) (/ (/ (* y (/ x z)) (+ 1 z)) z) (* y (/ x z)) (/ x z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* y x) (* (+ (* z z) z) z) (+ (* z z) z) (/ (* y x) (* (+ (* z z) z) z)) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (* (neg z) (+ (* z z) z)) (neg z) (/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (+ 1 z) (/ x (* (neg z) (+ (* z z) z))))

simplify153.0ms (1.8%)

Memory

8.0MiB live, 194.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	696
1	439	639
2	1168	581
3	4912	541
0	8256	524

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 54

Calls

Call 1

Inputs
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) z)
(/ x z)
(* x y)
(/ (* x y) (* z (+ z (pow z 2))))
(* -1 (/ x (* z (+ z (pow z 2)))))
(* -1 y)
(/ (+ (* -1 (* x (* y z))) (* x y)) z)
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z)
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
z
(* z (+ 1 z))
(* -1 (pow z 2))
(* (pow z 2) (- (* -1 z) 1))
(* -1 z)
1
(+ 1 z)
(* -1 (/ x (pow z 2)))
(/ (+ (* -1 x) (* x z)) (pow z 2))
(/ (+ (* -1 x) (* z (+ x (* -1 (* x z))))) (pow z 2))
(/ (+ (* -1 x) (* z (+ x (* z (+ (* -1 x) (* x z)))))) (pow z 2))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(* -1 (pow z 3))
(* -1 (* (pow z 3) (+ 1 (/ 1 z))))
(* z (+ 1 (/ 1 z)))
(* -1 (/ x (pow z 3)))
(/ (+ (* -1 x) (/ x z)) (pow z 3))
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (+ (/ x z) (/ x (pow z 3))))) (pow z 3))
(/ (+ (* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z)) (* x y)) (pow z 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z)) (* x y)) z)) (* x y)) (pow z 2))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(* -1 (/ (+ x (* -1 (/ x z))) (pow z 3)))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 3)))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 3)))

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

rewrite344.0ms (4%)

Memory

-28.0MiB live, 250.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	133
0	46	134
1	185	127
2	1118	127
0	8272	127

Stop Event

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

Counts

20 → 1 921

Calls

Call 1

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

Outputs
(.f64 (.f64 (/.f64 (.f64 x y) (.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) z) (-.f64 z #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z))
(.f64 (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 x z))
(.f64 (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) (pow.f64 z #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 x y)) (pow.f64 z #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 x z)) y)
(.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) x) (/.f64 y z))
(.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) y) (/.f64 x z))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) (.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)))) (fma.f64 z z (neg.f64 z)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) (.f64 (fma.f64 z z #s(literal -1 binary64)) z))) (-.f64 z #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) z))) (/.f64 y z))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) z))) (/.f64 x z))
(.f64 (.f64 x (/.f64 y (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)))) (fma.f64 z z (neg.f64 z)))
(.f64 (.f64 x (/.f64 y (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))))
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(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (neg.f64 z) (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 z (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) z))
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 z) #s(literal 1 binary64))
(fma.f64 (neg.f64 z) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 z z) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z))))
(fma.f64 #s(literal 1 binary64) z #s(literal 1 binary64))
(fma.f64 z #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 z z) (-.f64 z #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z #s(literal 1 binary64))) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) z))
(+.f64 (/.f64 (*.f64 z z) (-.f64 z #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z))))
(+.f64 #s(literal 1 binary64) z)
(+.f64 z #s(literal 1 binary64))
(.f64 (.f64 (/.f64 (/.f64 (neg.f64 x) z) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) z) (-.f64 z #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 (neg.f64 x) z) #s(literal 1 binary64)) (pow.f64 (fma.f64 z z z) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (*.f64 (fma.f64 z z z) z) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 x) z) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)))) (fma.f64 z z (neg.f64 z)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 x) z) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (pow.f64 (*.f64 (fma.f64 z z z) z) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (-.f64 #s(literal -1 binary64) z) z) (/.f64 z x)) #s(literal -1/2 binary64)) (pow.f64 (.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) z) (/.f64 z x)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (/.f64 (neg.f64 x) z) (.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) (fma.f64 z z (neg.f64 z)))
(.f64 (/.f64 (/.f64 (neg.f64 x) z) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 z z z)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (fma.f64 z z z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (neg.f64 x) z) (pow.f64 (fma.f64 z z z) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 x (fma.f64 z z z)) z))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 z z z) z)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 z z z) z)) x)
(*.f64 (pow.f64 (fma.f64 z z z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z))
(.f64 (neg.f64 x) (pow.f64 (.f64 (fma.f64 z z z) z) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)))
(*.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) (fma.f64 z z z)))
(.f64 x (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 z z z) z)))
(pow.f64 (.f64 (.f64 (-.f64 #s(literal -1 binary64) z) z) (/.f64 z x)) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 (neg.f64 x) (fma.f64 z z z)) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (/.f64 x (fma.f64 z z z)) #s(literal -1 binary64)) z)
(/.f64 (/.f64 (neg.f64 x) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) z)) (*.f64 z z))
(/.f64 (.f64 (/.f64 (neg.f64 x) z) (fma.f64 z z (neg.f64 z))) (.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)))
(/.f64 (.f64 (/.f64 (neg.f64 x) z) (.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64))))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
(/.f64 (.f64 (.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 z z z) #s(literal -1 binary64))) z)
(/.f64 (.f64 (/.f64 (/.f64 (neg.f64 x) z) (.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (.f64 (.f64 z z) (fma.f64 (+.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(/.f64 (.f64 (/.f64 (/.f64 (neg.f64 x) z) (.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) (fma.f64 z z z))
(/.f64 (.f64 (/.f64 (/.f64 (neg.f64 x) z) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (-.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 (.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (.f64 (/.f64 (/.f64 (neg.f64 x) z) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))) (+.f64 (pow.f64 z #s(literal 8 binary64)) (.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) z)) (-.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) z)) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (fma.f64 z z z))) z)
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) #s(literal 1 binary64)) (fma.f64 z z z))
(/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (fma.f64 z z z) z))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (fma.f64 z z z) z))
(/.f64 (.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal -1 binary64) z) z))
(/.f64 (*.f64 (pow.f64 (fma.f64 z z z) #s(literal -1 binary64)) x) (neg.f64 z))
(/.f64 (/.f64 (/.f64 (neg.f64 x) z) z) (+.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (/.f64 (neg.f64 x) z) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) (pow.f64 (fma.f64 z z (neg.f64 z)) #s(literal -1 binary64)))
(/.f64 (/.f64 (/.f64 (neg.f64 x) z) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (pow.f64 (*.f64 z (fma.f64 z (-.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)))
(/.f64 (/.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal -1 binary64) z) (.f64 z z)))
(/.f64 (.f64 x #s(literal -1 binary64)) (.f64 (fma.f64 z z z) z))
(/.f64 (/.f64 (neg.f64 x) (fma.f64 z z z)) z)
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (fma.f64 z z z) x))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 z) z))
(/.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) #s(literal -1 binary64))
(/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z))
(/.f64 (/.f64 (neg.f64 x) z) (*.f64 (neg.f64 z) (-.f64 #s(literal -1 binary64) z)))
(/.f64 (/.f64 (neg.f64 x) z) (fma.f64 z z z))
(/.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (fma.f64 z z z) x)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (pow.f64 (fma.f64 z z z) #s(literal -1 binary64)) (/.f64 (neg.f64 z) x))
(/.f64 (neg.f64 x) (*.f64 (fma.f64 z z z) z))
(/.f64 (/.f64 (/.f64 x (fma.f64 z z z)) (neg.f64 z)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (neg.f64 x) (fma.f64 z z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (/.f64 x (fma.f64 z z z))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 #s(literal -1 binary64) z) z) (/.f64 z x)))
(/.f64 (/.f64 x z) (*.f64 (-.f64 #s(literal -1 binary64) z) z))
(/.f64 x (.f64 (-.f64 #s(literal -1 binary64) z) (.f64 z z)))
(neg.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z))
(fma.f64 (/.f64 (/.f64 (neg.f64 x) z) (.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) (.f64 z z) (.f64 (/.f64 (/.f64 (neg.f64 x) z) (.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) (neg.f64 z)))
(fma.f64 (/.f64 (/.f64 (neg.f64 x) z) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 (/.f64 (neg.f64 x) z) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (/.f64 (/.f64 (neg.f64 x) z) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (pow.f64 z #s(literal 4 binary64)) (.f64 (/.f64 (/.f64 (neg.f64 x) z) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z))))
(fma.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (neg.f64 x) z) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (/.f64 (neg.f64 x) z) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (/.f64 (neg.f64 x) z) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (.f64 (.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (neg.f64 x) z) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))))
(fma.f64 (.f64 z z) (/.f64 (/.f64 (neg.f64 x) z) (.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) (.f64 (neg.f64 z) (/.f64 (/.f64 (neg.f64 x) z) (.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 z z z) z)) (/.f64 (/.f64 x (fma.f64 z z z)) z))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (fma.f64 z z z)) z))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) z) (/.f64 z x))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 z z) (/.f64 (/.f64 (neg.f64 x) z) (.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)))) (.f64 (neg.f64 z) (/.f64 (/.f64 (neg.f64 x) z) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z)))))
(+.f64 (.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (neg.f64 x) z) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (/.f64 (neg.f64 x) z) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))))
(+.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (/.f64 (neg.f64 x) z) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (neg.f64 x) z) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))))
(+.f64 (.f64 (/.f64 (/.f64 (neg.f64 x) z) (.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) (.f64 z z)) (.f64 (/.f64 (/.f64 (neg.f64 x) z) (*.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) (neg.f64 z)))
(+.f64 (.f64 (/.f64 (/.f64 (neg.f64 x) z) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) z))) (.f64 (/.f64 (/.f64 (neg.f64 x) z) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (pow.f64 z #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 (/.f64 (neg.f64 x) z) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (pow.f64 z #s(literal 4 binary64))) (.f64 (/.f64 (/.f64 (neg.f64 x) z) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) z))))

eval181.0ms (2.1%)

Memory: 45.6MiB live, 380.1MiB allocated
Compiler: Compiled 28 462 to 4 120 computations (85.5% saved)

prune208.0ms (2.4%)

Memory

-63.0MiB live, 142.9MiB allocated

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	1 474	8	1 482
Fresh	2	5	7
Picked	1	4	5
Done	0	1	1
Total	1 477	18	1 495

Accuracy

100.0%

Counts

1 495 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.5%	(/.f64 (/.f64 y (fma.f64 z z z)) (/.f64 z x))
	96.0%	(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
✓	96.6%	(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
✓	89.7%	(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
✓	89.7%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
✓	73.6%	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
	94.7%	(/.f64 (.f64 #s(literal 1 binary64) y) (.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)))
	74.4%	(/.f64 x (/.f64 #s(approx (* (* z z) (+ z 1)) (*.f64 z z)) y))
▶	97.6%	(*.f64 (/.f64 (/.f64 x z) z) (/.f64 y (+.f64 #s(literal 1 binary64) z)))
	73.5%	(.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) x)
	95.4%	(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
▶	89.4%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y))
✓	90.5%	(.f64 (neg.f64 y) (/.f64 x (.f64 (neg.f64 z) (fma.f64 z z z))))
▶	81.1%	(.f64 (neg.f64 y) #s(approx (/ x ( (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)))
	89.7%	(.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z))))
▶	78.7%	(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))
▶	73.0%	#s(approx (/ (/ (* y (/ x z)) (+ 1 z)) z) (/.f64 (/.f64 (*.f64 x y) z) z))
	76.9%	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))

Compiler

Compiled 422 to 307 computations (27.3% saved)

simplify214.0ms (2.5%)

Memory

13.2MiB live, 85.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 z z z)
cost-diff	0	(*.f64 (fma.f64 z z z) z)
cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z))
cost-diff	64	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y))
cost-diff	0	(/.f64 (/.f64 (neg.f64 x) z) z)
cost-diff	0	#s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))
cost-diff	0	(neg.f64 y)
cost-diff	0	(.f64 (neg.f64 y) #s(approx (/ x ( (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)))
cost-diff	0	(*.f64 x y)
cost-diff	0	(/.f64 (*.f64 x y) z)
cost-diff	0	(/.f64 (/.f64 (*.f64 x y) z) z)
cost-diff	0	#s(approx (/ (/ (* y (/ x z)) (+ 1 z)) z) (/.f64 (/.f64 (*.f64 x y) z) z))
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
cost-diff	0	(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
cost-diff	0	(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))
cost-diff	0	(/.f64 y (+.f64 #s(literal 1 binary64) z))
cost-diff	0	(/.f64 x z)
cost-diff	0	(/.f64 (/.f64 x z) z)
cost-diff	512	(*.f64 (/.f64 (/.f64 x z) z) (/.f64 y (+.f64 #s(literal 1 binary64) z)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	206
0	62	204
1	131	198
2	290	198
3	787	198
4	2766	198
5	4336	198
6	5034	198
7	5124	198
8	5164	198
9	5182	198
10	5192	198
11	5567	198
12	5727	198
13	5727	198
14	5762	198
15	5798	198
16	5819	198
17	5819	198
18	5819	198
0	5819	198

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize162.0ms (1.9%)

Memory

17.4MiB live, 135.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0.05078125	(*.f64 (fma.f64 z z z) z)
accuracy	0.1015625	(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z z) z))
accuracy	6.677893729539869	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y))
accuracy	0	(neg.f64 x)
accuracy	0.17578125	(/.f64 (/.f64 (neg.f64 x) z) z)
accuracy	3.3921834389537158	(.f64 (neg.f64 y) #s(approx (/ x ( (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)))
accuracy	11.317902229267176	#s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))
accuracy	0	(*.f64 x y)
accuracy	0.849572194484311	(/.f64 (/.f64 (*.f64 x y) z) z)
accuracy	3.6926553866371354	(/.f64 (*.f64 x y) z)
accuracy	15.149997183102274	#s(approx (/ (/ (* y (/ x z)) (+ 1 z)) z) (/.f64 (/.f64 (*.f64 x y) z) z))
accuracy	0	(*.f64 z z)
accuracy	3.3921834389537158	(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))
accuracy	5.531850909316967	(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy	20.611411578644898	#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy	0	(/.f64 x z)
accuracy	0	(+.f64 #s(literal 1 binary64) z)
accuracy	0.17578125	(/.f64 (/.f64 x z) z)
accuracy	1.5289954014354241	(*.f64 (/.f64 (/.f64 x z) z) (/.f64 y (+.f64 #s(literal 1 binary64) z)))

Samples

110.0ms

256×

valid

Compiler

Compiled 388 to 78 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-div: 19.0ms (45.9% of total)

ival-mult: 16.0ms (38.7% of total)

ival-add: 4.0ms (9.7% of total)

ival-neg: 3.0ms (7.2% of total)

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

exact: 0.0ms (0% of total)

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

series54.0ms (0.6%)

Memory

-27.4MiB live, 57.5MiB allocated

Counts

22 → 77

Calls

Call 1

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

Outputs
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x (pow z 2))
(/ x z)
(/ x (* (pow z 2) (+ 1 z)))
(/ (* x y) (pow z 2))
(/ (* x y) z)
(* x y)
(/ (* x y) (* z (+ z (pow z 2))))
(* -1 (/ x (* z (+ z (pow z 2)))))
(* -1 (/ x (pow z 2)))
(* -1 x)
(/ y (+ 1 z))
(* -1 y)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
y
(+ y (* -1 (* y z)))
(+ y (* z (- (* y z) y)))
(+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y)))
(/ (+ x (* -1 (* x z))) (pow z 2))
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ (+ (* -1 x) (* x z)) (pow z 2))
(/ (+ (* -1 x) (* z (+ x (* -1 (* x z))))) (pow z 2))
(/ (+ (* -1 x) (* z (+ x (* z (+ (* -1 x) (* x z)))))) (pow z 2))
(/ -1 (pow z 2))
(/ (- z 1) (pow z 2))
(/ (- (* z (+ 1 (* -1 z))) 1) (pow z 2))
(/ (- (* z (+ 1 (* z (- z 1)))) 1) (pow z 2))
z
(* z (+ 1 z))
1
(+ 1 z)
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ y z)
(/ (+ y (* -1 (/ y z))) z)
(/ (- (+ y (/ y (pow z 2))) (/ y z)) z)
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) z)
(/ x (pow z 3))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* -1 (/ x (pow z 3)))
(/ (+ (* -1 x) (/ x z)) (pow z 3))
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (+ (/ x z) (/ x (pow z 3))))) (pow z 3))
(/ -1 (pow z 3))
(/ (- (/ 1 z) 1) (pow z 3))
(/ (- (/ 1 z) (+ 1 (/ 1 (pow z 2)))) (pow z 3))
(/ (- (+ (/ 1 z) (/ 1 (pow z 3))) (+ 1 (/ 1 (pow z 2)))) (pow z 3))
(* (pow z 2) (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 y) (/ y z)) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) z))) z))
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(* -1 (/ (+ x (* -1 (/ x z))) (pow z 3)))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 3)))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 3)))
(* -1 (/ (- 1 (/ 1 z)) (pow z 3)))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 z)) z))) (pow z 3)))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 z)) z))) z))) (pow z 3)))

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	x	@	-inf	((* (/ (/ x z) z) (/ y (+ 1 z))) (/ (/ x z) z) (/ x z) (/ y (+ 1 z)) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (/ (* y (/ x z)) (+ 1 z)) z) (/ (/ (* x y) z) z) (/ (* x y) z) (* x y) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (/ x (* (neg z) (+ (* z z) z))) (/ (/ (neg x) z) z) (* (/ -1 (* (+ (* z z) z) z)) (* (neg x) y)) (/ -1 (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (+ 1 z) (neg x))
7.0ms	z	@	-inf	((* (/ (/ x z) z) (/ y (+ 1 z))) (/ (/ x z) z) (/ x z) (/ y (+ 1 z)) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (/ (* y (/ x z)) (+ 1 z)) z) (/ (/ (* x y) z) z) (/ (* x y) z) (* x y) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (/ x (* (neg z) (+ (* z z) z))) (/ (/ (neg x) z) z) (* (/ -1 (* (+ (* z z) z) z)) (* (neg x) y)) (/ -1 (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (+ 1 z) (neg x))
4.0ms	x	@	inf	((* (/ (/ x z) z) (/ y (+ 1 z))) (/ (/ x z) z) (/ x z) (/ y (+ 1 z)) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (/ (* y (/ x z)) (+ 1 z)) z) (/ (/ (* x y) z) z) (/ (* x y) z) (* x y) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (/ x (* (neg z) (+ (* z z) z))) (/ (/ (neg x) z) z) (* (/ -1 (* (+ (* z z) z) z)) (* (neg x) y)) (/ -1 (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (+ 1 z) (neg x))
4.0ms	x	@	0	((* (/ (/ x z) z) (/ y (+ 1 z))) (/ (/ x z) z) (/ x z) (/ y (+ 1 z)) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (/ (* y (/ x z)) (+ 1 z)) z) (/ (/ (* x y) z) z) (/ (* x y) z) (* x y) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (/ x (* (neg z) (+ (* z z) z))) (/ (/ (neg x) z) z) (* (/ -1 (* (+ (* z z) z) z)) (* (neg x) y)) (/ -1 (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (+ 1 z) (neg x))
3.0ms	y	@	-inf	((* (/ (/ x z) z) (/ y (+ 1 z))) (/ (/ x z) z) (/ x z) (/ y (+ 1 z)) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (/ (* y (/ x z)) (+ 1 z)) z) (/ (/ (* x y) z) z) (/ (* x y) z) (* x y) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (neg y) (/ x (* (neg z) (+ (* z z) z))) (/ (/ (neg x) z) z) (* (/ -1 (* (+ (* z z) z) z)) (* (neg x) y)) (/ -1 (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (+ (* z z) z) (+ 1 z) (neg x))

simplify190.0ms (2.2%)

Memory

44.3MiB live, 155.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	234	904
1	705	825
2	1811	759
3	6370	753
0	8265	732

Stop Event

1×	iter limit
1×	node limit

Counts

77 → 75

Calls

Call 1

Inputs
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x (pow z 2))
(/ x z)
(/ x (* (pow z 2) (+ 1 z)))
(/ (* x y) (pow z 2))
(/ (* x y) z)
(* x y)
(/ (* x y) (* z (+ z (pow z 2))))
(* -1 (/ x (* z (+ z (pow z 2)))))
(* -1 (/ x (pow z 2)))
(* -1 x)
(/ y (+ 1 z))
(* -1 y)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
y
(+ y (* -1 (* y z)))
(+ y (* z (- (* y z) y)))
(+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y)))
(/ (+ x (* -1 (* x z))) (pow z 2))
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ (+ (* -1 x) (* x z)) (pow z 2))
(/ (+ (* -1 x) (* z (+ x (* -1 (* x z))))) (pow z 2))
(/ (+ (* -1 x) (* z (+ x (* z (+ (* -1 x) (* x z)))))) (pow z 2))
(/ -1 (pow z 2))
(/ (- z 1) (pow z 2))
(/ (- (* z (+ 1 (* -1 z))) 1) (pow z 2))
(/ (- (* z (+ 1 (* z (- z 1)))) 1) (pow z 2))
z
(* z (+ 1 z))
1
(+ 1 z)
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ y z)
(/ (+ y (* -1 (/ y z))) z)
(/ (- (+ y (/ y (pow z 2))) (/ y z)) z)
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) z)
(/ x (pow z 3))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* -1 (/ x (pow z 3)))
(/ (+ (* -1 x) (/ x z)) (pow z 3))
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(/ (+ (* -1 x) (+ (* -1 (/ x (pow z 2))) (+ (/ x z) (/ x (pow z 3))))) (pow z 3))
(/ -1 (pow z 3))
(/ (- (/ 1 z) 1) (pow z 3))
(/ (- (/ 1 z) (+ 1 (/ 1 (pow z 2)))) (pow z 3))
(/ (- (+ (/ 1 z) (/ 1 (pow z 3))) (+ 1 (/ 1 (pow z 2)))) (pow z 3))
(* (pow z 2) (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 y) (/ y z)) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) z))) z))
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x z) x) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x z) x) z)) x) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(* -1 (/ (+ x (* -1 (/ x z))) (pow z 3)))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 3)))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 3)))
(* -1 (/ (- 1 (/ 1 z)) (pow z 3)))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 z)) z))) (pow z 3)))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 z)) z))) z))) (pow z 3)))

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

rewrite182.0ms (2.1%)

Memory

-15.1MiB live, 190.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	179
0	62	177
1	231	171
2	1494	171
3	7803	171
0	8164	171

Stop Event

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

Counts

22 → 979

Calls

Call 1

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

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

eval115.0ms (1.3%)

Memory: 5.8MiB live, 228.3MiB allocated
Compiler: Compiled 18 044 to 2 790 computations (84.5% saved)

prune51.0ms (0.6%)

Memory

-12.9MiB live, 73.2MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	891	8	899
Fresh	4	4	8
Picked	3	2	5
Done	2	3	5
Total	900	17	917

Accuracy

100.0%

Counts

917 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.0%	(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
✓	96.6%	(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
✓	89.7%	(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
✓	73.6%	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
	94.7%	(/.f64 (.f64 #s(literal 1 binary64) y) (.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)))
	94.0%	(/.f64 x (.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) z) z))
	60.6%	(*.f64 (/.f64 (/.f64 x z) z) #s(approx (/ y (+ 1 z)) (/.f64 y z)))
	89.7%	(.f64 (/.f64 y (.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) z) z)) (neg.f64 x))
▶	73.5%	(.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) x)
	95.4%	(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
▶	90.5%	(.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y)
✓	89.4%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y))
✓	78.7%	(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))
▶	76.9%	#s(approx (/ (/ (* y (/ x z)) (+ 1 z)) z) (/.f64 (/.f64 y z) (/.f64 z x)))
	76.9%	#s(approx (/ (/ (* y (/ x z)) (+ 1 z)) z) (/.f64 (*.f64 (/.f64 x z) y) z))
▶	81.1%	#s(approx (/ (/ (* y (/ x z)) (+ 1 z)) z) (*.f64 (/.f64 (/.f64 x z) z) y))
	76.9%	#s(approx (/ (/ (* y (/ x z)) (+ 1 z)) z) (*.f64 (/.f64 y z) (/.f64 x z)))

Compiler

Compiled 407 to 294 computations (27.8% saved)

simplify13.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 z x)
cost-diff	0	(/.f64 y z)
cost-diff	0	#s(approx (/ (/ (* y (/ x z)) (+ 1 z)) z) (/.f64 (/.f64 y z) (/.f64 z x)))
cost-diff	384	(/.f64 (/.f64 y z) (/.f64 z x))
cost-diff	-384	(.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y)
cost-diff	0	(fma.f64 z z z)
cost-diff	0	(*.f64 (fma.f64 z z z) z)
cost-diff	0	(/.f64 x (*.f64 (fma.f64 z z z) z))
cost-diff	0	(/.f64 x z)
cost-diff	0	(/.f64 (/.f64 x z) z)
cost-diff	0	(*.f64 (/.f64 (/.f64 x z) z) y)
cost-diff	0	#s(approx (/ (/ (* y (/ x z)) (+ 1 z)) z) (*.f64 (/.f64 (/.f64 x z) z) y))
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
cost-diff	0	(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
cost-diff	0	(.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) x)
cost-diff	0	(fma.f64 z z z)
cost-diff	0	(/.f64 y z)
cost-diff	0	(*.f64 (/.f64 y z) x)
cost-diff	0	(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	173
0	45	173
1	88	168
2	158	168
3	227	168
4	314	168
5	367	168
6	433	168
7	435	168
8	440	168
0	440	168

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize97.0ms (1.1%)

Memory

12.8MiB live, 163.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 z x)
accuracy	0	(/.f64 y z)
accuracy	1.731592536707433	(/.f64 (/.f64 y z) (/.f64 z x))
accuracy	15.149997183102274	#s(approx (/ (/ (* y (/ x z)) (+ 1 z)) z) (/.f64 (/.f64 y z) (/.f64 z x)))
accuracy	0	(fma.f64 z z z)
accuracy	0.05078125	(*.f64 (fma.f64 z z z) z)
accuracy	3.3921834389537158	(.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y)
accuracy	5.531850909316967	(/.f64 x (*.f64 (fma.f64 z z z) z))
accuracy	0	(/.f64 x z)
accuracy	0.17578125	(/.f64 (/.f64 x z) z)
accuracy	5.092987138245249	(*.f64 (/.f64 (/.f64 x z) z) y)
accuracy	15.149997183102274	#s(approx (/ (/ (* y (/ x z)) (+ 1 z)) z) (*.f64 (/.f64 (/.f64 x z) z) y))
accuracy	0	(*.f64 z z)
accuracy	3.070008861655653	(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy	4.274832035405204	(.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) x)
accuracy	20.611411578644898	#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy	0	(fma.f64 z z z)
accuracy	0	(/.f64 y z)
accuracy	2.0099584043046654	(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
accuracy	4.852594919335862	(*.f64 (/.f64 y z) x)

Samples

74.0ms

256×

valid

Compiler

Compiled 326 to 57 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 33.0ms (59% of total)

ival-div: 19.0ms (34% of total)

ival-add: 4.0ms (7.2% of total)

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

exact: 0.0ms (0% of total)

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

series50.0ms (0.6%)

Memory

-9.2MiB live, 108.2MiB allocated

Counts

18 → 50

Calls

Call 1

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

Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) z)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (pow z 2))
(/ x (pow z 2))
(/ x z)
(/ x (* z (+ z (pow z 2))))
(/ z x)
(/ y z)
(/ y (* (pow z 2) (+ 1 z)))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
z
(* z (+ 1 z))
(/ y (pow z 2))
(/ (+ y (* -1 (* y z))) (pow z 2))
(/ (+ y (* z (- (* y z) y))) (pow z 2))
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ (+ x (* -1 (* x z))) (pow z 2))
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(* (pow z 2) (+ 1 (/ 1 z)))
(/ y (pow z 3))
(/ (+ y (* -1 (/ y z))) (pow z 3))
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 3))
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(/ x (pow z 3))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 y) (/ y z)) (pow z 3)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) z))) (pow z 3)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3)))

Calls

9 calls:

Time	Variable		Point	Expression
25.0ms	z	@	inf	((/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (/ (* y (/ x z)) (+ 1 z)) z) (* (/ (/ x z) z) y) (/ (/ x z) z) (/ x z) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (* (/ x (* (+ (* z z) z) z)) y) (/ (/ y z) (/ z x)) (/ (/ (* y (/ x z)) (+ 1 z)) z) (/ z x))
4.0ms	x	@	0	((/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (/ (* y (/ x z)) (+ 1 z)) z) (* (/ (/ x z) z) y) (/ (/ x z) z) (/ x z) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (* (/ x (* (+ (* z z) z) z)) y) (/ (/ y z) (/ z x)) (/ (/ (* y (/ x z)) (+ 1 z)) z) (/ z x))
4.0ms	x	@	-inf	((/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (/ (* y (/ x z)) (+ 1 z)) z) (* (/ (/ x z) z) y) (/ (/ x z) z) (/ x z) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (* (/ x (* (+ (* z z) z) z)) y) (/ (/ y z) (/ z x)) (/ (/ (* y (/ x z)) (+ 1 z)) z) (/ z x))
3.0ms	y	@	-inf	((/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (/ (* y (/ x z)) (+ 1 z)) z) (* (/ (/ x z) z) y) (/ (/ x z) z) (/ x z) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (* (/ x (* (+ (* z z) z) z)) y) (/ (/ y z) (/ z x)) (/ (/ (* y (/ x z)) (+ 1 z)) z) (/ z x))
3.0ms	z	@	-inf	((/ (* (/ y z) x) (+ (* z z) z)) (* (/ y z) x) (/ y z) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (/ (* y (/ x z)) (+ 1 z)) z) (* (/ (/ x z) z) y) (/ (/ x z) z) (/ x z) (/ x (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (* (/ x (* (+ (* z z) z) z)) y) (/ (/ y z) (/ z x)) (/ (/ (* y (/ x z)) (+ 1 z)) z) (/ z x))

simplify137.0ms (1.6%)

Memory

5.6MiB live, 180.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	635
1	487	588
2	1273	532
3	5212	513
0	8340	499

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 49

Calls

Call 1

Inputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) z)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (pow z 2))
(/ x (pow z 2))
(/ x z)
(/ x (* z (+ z (pow z 2))))
(/ z x)
(/ y z)
(/ y (* (pow z 2) (+ 1 z)))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
z
(* z (+ 1 z))
(/ y (pow z 2))
(/ (+ y (* -1 (* y z))) (pow z 2))
(/ (+ y (* z (- (* y z) y))) (pow z 2))
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 z))
(/ (+ x (* -1 (* x z))) (pow z 2))
(/ (+ x (* z (- (* x z) x))) (pow z 2))
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(* (pow z 2) (+ 1 (/ 1 z)))
(/ y (pow z 3))
(/ (+ y (* -1 (/ y z))) (pow z 3))
(/ (- (+ y (/ y (pow z 2))) (/ y z)) (pow z 3))
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(/ x (pow z 3))
(/ (+ x (* -1 (/ x z))) (pow z 3))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 3))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) z))) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 y) (/ y z)) (pow z 3)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) z))) (pow z 3)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (/ x z)) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x z)) z))) z))) (pow z 3)))

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

rewrite580.0ms (6.7%)

Memory

-7.2MiB live, 234.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	151
0	45	151
1	179	146
2	1151	146
0	8425	146

Stop Event

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

Counts

18 → 1 158

Calls

Call 1

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

Outputs
(.f64 (.f64 (/.f64 (.f64 x (/.f64 y z)) (.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z))) z) (-.f64 z #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (pow.f64 z #s(literal -1 binary64))) (/.f64 x z))
(.f64 (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 x) z)) (/.f64 #s(literal -1 binary64) z))
(.f64 (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (/.f64 x z)) (pow.f64 z #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (/.f64 (/.f64 x z) z))
(.f64 (.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) (pow.f64 z #s(literal -2 binary64)))
(.f64 (.f64 (/.f64 y (fma.f64 z z z)) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x))
(.f64 (.f64 (/.f64 y (fma.f64 z z z)) (pow.f64 z #s(literal -1 binary64))) x)
(.f64 (.f64 (/.f64 y (fma.f64 z z z)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z))
(.f64 (.f64 (/.f64 y (fma.f64 z z z)) #s(literal 1 binary64)) (/.f64 x z))
(.f64 (.f64 (/.f64 y (fma.f64 z z z)) x) (pow.f64 z #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 y z)) (pow.f64 z #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) y) (pow.f64 z #s(literal -2 binary64)))
(.f64 (.f64 (/.f64 x (fma.f64 z z z)) #s(literal 1 binary64)) (/.f64 y z))
(.f64 (.f64 (pow.f64 (fma.f64 z z z) #s(literal -1 binary64)) (*.f64 x y)) (pow.f64 z #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 z z z) #s(literal -1 binary64)) x) (/.f64 y z))
(.f64 (.f64 (pow.f64 (fma.f64 z z z) #s(literal -1 binary64)) (/.f64 y z)) x)
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eval186.0ms (2.2%)

Memory: 11.7MiB live, 165.7MiB allocated
Compiler: Compiled 19 836 to 2 961 computations (85.1% saved)

prune161.0ms (1.9%)

Memory

-14.8MiB live, 59.4MiB allocated

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	1 055	3	1 058
Fresh	2	5	7
Picked	0	5	5
Done	0	5	5
Total	1 057	18	1 075

Accuracy

100.0%

Counts

1 075 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.0%	(/.f64 (*.f64 (/.f64 y z) x) (fma.f64 z z z))
✓	96.6%	(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
✓	89.7%	(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
✓	73.6%	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
	94.7%	(/.f64 (neg.f64 y) (.f64 (+.f64 #s(literal 1 binary64) z) (.f64 (/.f64 (neg.f64 z) x) z)))
	94.0%	(/.f64 x (.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) y) z) z))
	60.6%	(*.f64 (/.f64 (/.f64 x z) z) #s(approx (/ y (+ 1 z)) (/.f64 y z)))
	89.7%	(.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)
✓	73.5%	(.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) x)
	95.4%	(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
✓	90.5%	(.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y)
✓	89.4%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 z z z) z)) (*.f64 (neg.f64 x) y))
✓	78.7%	(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))
✓	76.9%	#s(approx (/ (/ (* y (/ x z)) (+ 1 z)) z) (/.f64 (/.f64 y z) (/.f64 z x)))
	76.9%	#s(approx (/ (/ (* y (/ x z)) (+ 1 z)) z) (/.f64 (*.f64 (/.f64 x z) y) z))
	72.3%	#s(approx (/ (/ (* y (/ x z)) (+ 1 z)) z) (/.f64 x (*.f64 (/.f64 z y) z)))
✓	81.1%	#s(approx (/ (/ (* y (/ x z)) (+ 1 z)) z) (*.f64 (/.f64 (/.f64 x z) z) y))
	76.9%	#s(approx (/ (/ (* y (/ x z)) (+ 1 z)) z) (*.f64 (/.f64 y z) (/.f64 x z)))

Compiler

Compiled 706 to 301 computations (57.4% saved)

regimes139.0ms (1.6%)

Memory

-1.1MiB live, 54.3MiB allocated

Counts

32 → 1

Calls

Call 1

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

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

Calls

6 calls:

95.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
9.0ms	z
9.0ms	x
9.0ms	y
9.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`y`
98.5%	1	`z`
98.5%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
98.5%	1	`(*.f64 x y)`
98.5%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes155.0ms (1.8%)

Memory

-19.9MiB live, 57.9MiB allocated

Counts

31 → 1

Calls

Call 1

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

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

Calls

6 calls:

74.0ms	(*.f64 x y)
48.0ms	y
9.0ms	x
9.0ms	z
8.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
97.9%	1	`x`
97.9%	1	`y`
97.9%	1	`z`
97.9%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
97.9%	1	`(*.f64 x y)`
97.9%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes77.0ms (0.9%)

Memory

-2.1MiB live, 36.9MiB allocated

Counts

30 → 1

Calls

Call 1

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

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

Calls

6 calls:

37.0ms	x
8.0ms	y
8.0ms	z
8.0ms	(*.f64 x y)
7.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
97.6%	1	`x`
97.6%	1	`y`
97.6%	1	`z`
97.6%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
97.6%	1	`(*.f64 x y)`
97.6%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes98.0ms (1.1%)

Memory

21.3MiB live, 60.3MiB allocated

Counts

29 → 1

Calls

Call 1

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

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

Calls

6 calls:

59.0ms	x
8.0ms	y
8.0ms	z
8.0ms	(*.f64 x y)
7.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
96.7%	1	`z`
96.7%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
96.7%	1	`x`
96.7%	1	`y`
96.7%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
96.7%	1	`(*.f64 x y)`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes315.0ms (3.7%)

Memory

-11.2MiB live, 62.4MiB allocated

Counts

26 → 1

Calls

Call 1

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

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

Calls

6 calls:

156.0ms	z
131.0ms	x
7.0ms	y
7.0ms	(*.f64 x y)
7.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
96.6%	1	`x`
96.6%	1	`y`
96.6%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
96.6%	1	`(*.f64 x y)`
96.6%	1	`z`
96.6%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes56.0ms (0.7%)

Memory

-10.0MiB live, 73.8MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

6 calls:

21.0ms	z
12.0ms	x
6.0ms	y
6.0ms	(*.f64 x y)
5.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
95.4%	1	`x`
95.4%	1	`y`
95.4%	1	`z`
95.4%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
95.4%	1	`(*.f64 x y)`
95.4%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes44.0ms (0.5%)

Memory

13.4MiB live, 51.0MiB allocated

Counts

19 → 2

Calls

Call 1

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

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

Calls

6 calls:

16.0ms	x
6.0ms	z
6.0ms	y
6.0ms	(*.f64 x y)
5.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
93.6%	2	`y`
92.2%	2	`x`
95.6%	3	`z`
95.1%	3	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
94.8%	2	`(*.f64 x y)`
95.6%	3	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes6.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

(*.f64 x y)

Results

Accuracy	Segments	Branch
94.8%	2	`(*.f64 x y)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes5.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

(*.f64 x y)

Results

Accuracy	Segments	Branch
94.8%	2	`(*.f64 x y)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes43.0ms (0.5%)

Memory

-4.5MiB live, 33.2MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)

#s(approx (/ (/ (* y (/ x z)) (+ 1 z)) z) (/.f64 (*.f64 (/.f64 x z) y) z))

(*.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)

Calls

3 calls:

35.0ms	(*.f64 x y)
4.0ms	z
4.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
95.6%	3	`z`
95.6%	3	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
93.2%	2	`(*.f64 x y)`

Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes20.0ms (0.2%)

Memory

9.0MiB live, 46.2MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	z
4.0ms	y
3.0ms	(*.f64 x y)
3.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
3.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
93.2%	2	`(*.f64 x y)`
92.7%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
90.5%	1	`y`
90.5%	1	`z`
90.5%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 23 to 26 computations (-13% saved)

regimes26.0ms (0.3%)

Memory

-34.0MiB live, 48.3MiB allocated

Counts

9 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (/ (* y (/ x z)) (+ 1 z)) z) (*.f64 (/.f64 (/.f64 x z) z) y))

Calls

6 calls:

8.0ms	(*.f64 x y)
5.0ms	y
3.0ms	z
3.0ms	x
3.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
81.1%	1	`y`
81.1%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
81.1%	1	`z`
81.1%	1	`x`
81.1%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
81.1%	1	`(*.f64 x y)`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes17.0ms (0.2%)

Memory

9.7MiB live, 45.3MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))

Calls

6 calls:

5.0ms	x
2.0ms	z
2.0ms	y
2.0ms	(*.f64 x y)
2.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
78.7%	1	`x`
81.8%	2	`y`
78.7%	1	`z`
78.7%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
80.9%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
81.5%	2	`(*.f64 x y)`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes10.0ms (0.1%)

Memory

-2.5MiB live, 37.0MiB allocated

Accuracy

Total -5.4b remaining (-39.8%)

Threshold costs -5.4b (-39.8%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))

Calls

5 calls:

2.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
2.0ms	y
2.0ms	z
2.0ms	(*.f64 x y)
2.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
78.7%	1	`z`
78.7%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
78.7%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
78.7%	1	`(*.f64 x y)`
78.7%	1	`y`

Compiler

Compiled 23 to 26 computations (-13% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.892167002341974e-188	1.7405740629706774e-187

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.892167002341974e-188	1.7405740629706774e-187

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.892167002341974e-188	1.7405740629706774e-187

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.766194756527275e-37	2.867844452682143e-35
0.0ms	-1.8768564810230991e+21	0.0

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.892167002341974e-188	1.7405740629706774e-187

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch12.0ms (0.1%)

Memory

24.3MiB live, 24.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.786837590405785e+26	5.766541235570587e+27

Samples

6.0ms

112×

valid

Compiler

Compiled 252 to 197 computations (21.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (57.3% of total)

ival-div: 1.0ms (28.7% of total)

ival-add: 1.0ms (28.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify85.0ms (1%)

Memory

-28.2MiB live, 34.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	352
1	88	352

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (*.f64 y (/.f64 x z)) (+.f64 #s(literal 1 binary64) z)) z)
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x)))
(*.f64 (/.f64 (/.f64 x z) z) (/.f64 y (+.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 x z) (/.f64 (fma.f64 z z z) y))
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
(if (<=.f64 (.f64 x y) #s(literal 1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) #s(approx (/ (/ ( y (/ x z)) (+ 1 z)) z) (/.f64 (/.f64 y z) (/.f64 z x))) (/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))))
(if (<=.f64 (.f64 x y) #s(literal 1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) #s(approx (/ ( x y) (* (* z z) (+ z 1))) (.f64 (/.f64 x z) (/.f64 y z))) (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))))
(if (<=.f64 (.f64 x y) #s(literal 1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) #s(approx (/ ( x y) (* (* z z) (+ z 1))) (.f64 (/.f64 x z) (/.f64 y z))) (/.f64 (.f64 y x) (*.f64 (fma.f64 z z z) z)))
(if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -1000000000000000000000 binary64)) (.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (.f64 (fma.f64 z z z) z))) x) (if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 4789048565205903/23945242826029513411849172299223580994042798784118784 binary64)) #s(approx (/ (/ ( y (/ x z)) (+ 1 z)) z) (/.f64 (.f64 (/.f64 x z) y) z)) (.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)))
(if (<=.f64 (.f64 x y) #s(literal 1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) #s(approx (/ ( x y) (* (* z z) (+ z 1))) (.f64 (/.f64 x z) (/.f64 y z))) (.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))
#s(approx (/ (/ (* y (/ x z)) (+ 1 z)) z) (*.f64 (/.f64 (/.f64 x z) z) y))
(if (<=.f64 y #s(literal 200000000000000009529458688 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (.f64 (/.f64 x z) (/.f64 y z))) (.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))))
(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))

Outputs
(/.f64 (/.f64 (*.f64 y (/.f64 x z)) (+.f64 #s(literal 1 binary64) z)) z)
(/.f64 (/.f64 (*.f64 (/.f64 x z) y) (+.f64 #s(literal 1 binary64) z)) z)
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x)))
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 z x) z))
(*.f64 (/.f64 (/.f64 x z) z) (/.f64 y (+.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 x z) (/.f64 (fma.f64 z z z) y))
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(*.f64 (/.f64 y z) (/.f64 x (fma.f64 z z z)))
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
(if (<=.f64 (.f64 x y) #s(literal 1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) #s(approx (/ (/ ( y (/ x z)) (+ 1 z)) z) (/.f64 (/.f64 y z) (/.f64 z x))) (/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))))
(if (<=.f64 (.f64 x y) #s(literal 1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) #s(approx (/ (/ ( y (/ x z)) (+ 1 z)) z) (/.f64 (/.f64 y z) (/.f64 z x))) (/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z))))
(if (<=.f64 (.f64 x y) #s(literal 1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) #s(approx (/ ( x y) (* (* z z) (+ z 1))) (.f64 (/.f64 x z) (/.f64 y z))) (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))))
(if (<=.f64 (.f64 x y) #s(literal 1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) #s(approx (/ ( x y) (* (* z z) (+ z 1))) (.f64 (/.f64 y z) (/.f64 x z))) (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) z))))
(if (<=.f64 (.f64 x y) #s(literal 1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) #s(approx (/ ( x y) (* (* z z) (+ z 1))) (.f64 (/.f64 x z) (/.f64 y z))) (/.f64 (.f64 y x) (*.f64 (fma.f64 z z z) z)))
(if (<=.f64 (.f64 x y) #s(literal 1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) #s(approx (/ ( x y) (* (* z z) (+ z 1))) (.f64 (/.f64 y z) (/.f64 x z))) (/.f64 (.f64 x y) (*.f64 (fma.f64 z z z) z)))
(if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -1000000000000000000000 binary64)) (.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (.f64 (fma.f64 z z z) z))) x) (if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 4789048565205903/23945242826029513411849172299223580994042798784118784 binary64)) #s(approx (/ (/ ( y (/ x z)) (+ 1 z)) z) (/.f64 (.f64 (/.f64 x z) y) z)) (.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)))
(if (<=.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal -1000000000000000000000 binary64)) (.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (.f64 (fma.f64 z z z) z))) x) (if (<=.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) z)) #s(literal 4789048565205903/23945242826029513411849172299223580994042798784118784 binary64)) #s(approx (/ (/ ( y (/ x z)) (+ 1 z)) z) (/.f64 (.f64 (/.f64 x z) y) z)) (.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)))
(if (<=.f64 (.f64 x y) #s(literal 1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) #s(approx (/ ( x y) (* (* z z) (+ z 1))) (.f64 (/.f64 x z) (/.f64 y z))) (.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))
(if (<=.f64 (.f64 x y) #s(literal 1959553324262937/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) #s(approx (/ ( x y) (* (* z z) (+ z 1))) (.f64 (/.f64 y z) (/.f64 x z))) (.f64 (/.f64 x (*.f64 (fma.f64 z z z) z)) y))
#s(approx (/ (/ (* y (/ x z)) (+ 1 z)) z) (*.f64 (/.f64 (/.f64 x z) z) y))
(if (<=.f64 y #s(literal 200000000000000009529458688 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (.f64 (/.f64 x z) (/.f64 y z))) (.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))))
(if (<=.f64 y #s(literal 200000000000000009529458688 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (.f64 (/.f64 y z) (/.f64 x z))) (.f64 (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) y))
(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))
(.f64 (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) y)

soundness1.7s (19.6%)

Memory

12.2MiB live, 1 033.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	179
0	62	177
1	231	171
2	1494	171
3	7803	171
0	8164	171
0	27	133
0	46	134
1	185	127
2	1118	127
0	8272	127
0	167	635
1	487	588
2	1273	532
3	5212	513
0	8340	499
0	9	27
0	14	27
1	55	27
2	338	27
3	3204	27
0	8488	25
0	63	244
1	202	225
2	575	207
3	3500	189
0	8385	184
0	146	696
1	439	639
2	1168	581
3	4912	541
0	8256	524

Stop Event

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

Compiler

Compiled 949 to 411 computations (56.7% saved)

preprocess191.0ms (2.2%)

Memory

-9.2MiB live, 350.3MiB allocated

Remove

(negabs x)

(negabs y)

Compiler

Compiled 1 218 to 552 computations (54.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	30	173
0	45	173
1	88	168
2	158	168
3	227	168
4	314	168
5	367	168
6	433	168
7	435	168
8	440	168
0	440	168

Iter	Nodes	Cost
0	30	173
0	45	173
1	88	168
2	158	168
3	227	168
4	314	168
5	367	168
6	433	168
7	435	168
8	440	168
0	440	168

start0.0ms (0%)

analyze75.0ms (0.9%)

sample1.3s (15.6%)

explain155.0ms (1.8%)

preprocess52.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.1%)

localize46.0ms (0.5%)

series11.0ms (0.1%)

simplify202.0ms (2.3%)

rewrite174.0ms (2%)

eval86.0ms (1%)

prune40.0ms (0.5%)

simplify245.0ms (2.8%)

localize87.0ms (1%)

series34.0ms (0.4%)

simplify153.0ms (1.8%)

rewrite344.0ms (4%)

eval181.0ms (2.1%)

prune208.0ms (2.4%)

simplify214.0ms (2.5%)

localize162.0ms (1.9%)

series54.0ms (0.6%)

simplify190.0ms (2.2%)

rewrite182.0ms (2.1%)

eval115.0ms (1.3%)

prune51.0ms (0.6%)

simplify13.0ms (0.1%)

localize97.0ms (1.1%)

series50.0ms (0.6%)

simplify137.0ms (1.6%)

rewrite580.0ms (6.7%)

eval186.0ms (2.2%)

prune161.0ms (1.9%)

regimes139.0ms (1.6%)

regimes155.0ms (1.8%)

regimes77.0ms (0.9%)

regimes98.0ms (1.1%)

regimes315.0ms (3.7%)

regimes56.0ms (0.7%)

regimes44.0ms (0.5%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes43.0ms (0.5%)

regimes20.0ms (0.2%)

regimes26.0ms (0.3%)

regimes17.0ms (0.2%)

regimes10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch12.0ms (0.1%)

simplify85.0ms (1%)

soundness1.7s (19.6%)

preprocess191.0ms (2.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	30	173
0	45	173
1	88	168
2	158	168
3	227	168
4	314	168
5	367	168
6	433	168
7	435	168
8	440	168
0	440	168