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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze71.0ms (0.9%)

Memory

27.4MiB live, 143.2MiB 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)

sample888.0ms (11.5%)

Memory

8.8MiB live, 1 401.2MiB allocated

Samples

598.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 391.0ms

ival-mult: 281.0ms (71.8% of total)

ival-div: 53.0ms (13.5% of total)

ival-add: 43.0ms (11% of total)

ival-true: 6.0ms (1.5% of total)

exact: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain166.0ms (2.2%)

Memory

-10.1MiB live, 242.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
33	-	-	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`(+.f64 z #s(literal 1 binary64))`
0	-	-	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
0	-	-	`(*.f64 z z)`
0	-	-	`y`
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	9	0
↳	`(*.f64 x y)`	overflow	26
↳	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`	overflow	100
↳	`(*.f64 z z)`	overflow	76
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	n/u	7	0
↳	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`	underflow	55
↳	`(*.f64 z z)`	underflow	55
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	n/o	6	0
↳	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`	overflow	100
↳	`(*.f64 z z)`	overflow	76
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	u/n	5	0
↳	`(*.f64 x y)`	underflow	32
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	u/u	4	0
↳	`(*.f64 x y)`	underflow	32
↳	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`	underflow	55
↳	`(*.f64 z z)`	underflow	55
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	o/n	2	0
↳	`(*.f64 x y)`	overflow	26

Confusion

	Predicted +	Predicted -
+	33	0
-	0	223

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	33	0	0
-	0	0	223

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	223
1	33

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 139 to 55 computations (60.4% saved)

Precisions

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

ival-mult: 9.0ms (54.9% of total)

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

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

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

exact: 0.0ms (0% of total)

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

preprocess80.0ms (1%)

Memory

-15.0MiB live, 57.5MiB 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

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.8%	(/.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

8.5MiB live, 8.5MiB 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)

localize28.0ms (0.4%)

Memory

1.1MiB live, 36.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 x y)
accuracy	0.05859375	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
accuracy	7.715397244913699	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))

Samples

22.0ms

256×

valid

Compiler

Compiled 64 to 20 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 11.0ms (79.4% of total)

ival-div: 2.0ms (14.4% of total)

ival-add: 1.0ms (7.2% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

21.3MiB live, 21.3MiB 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))))
2.0ms	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))))

simplify201.0ms (2.6%)

Memory

-9.8MiB live, 224.9MiB 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)))

rewrite158.0ms (2.1%)

Memory

18.9MiB live, 242.8MiB 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)))

eval90.0ms (1.2%)

Memory: -1.0MiB live, 94.0MiB allocated
Compiler: Compiled 9 190 to 1 518 computations (83.5% saved)

prune16.0ms (0.2%)

Memory

-26.8MiB live, 48.0MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	488	10	498
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	488	11	499

Accuracy

100.0%

Counts

499 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.8%	(/.f64 (/.f64 x z) (/.f64 (fma.f64 z z z) y))
▶	96.4%	(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
▶	96.4%	(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
▶	87.8%	(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
✓	87.8%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
▶	76.7%	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
	90.8%	(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal 1 binary64) z)))
	95.1%	(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
▶	89.1%	(.f64 (neg.f64 y) (/.f64 x (.f64 (neg.f64 z) (fma.f64 z z z))))
	85.2%	(.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z))))
	77.6%	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))

Compiler

Compiled 249 to 181 computations (27.3% saved)

simplify253.0ms (3.3%)

Memory

15.1MiB live, 96.4MiB 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 (fma.f64 z z z))
cost-diff	0	(*.f64 y (/.f64 x (fma.f64 z z z)))
cost-diff	0	(/.f64 (*.f64 y (/.f64 x (fma.f64 z 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	(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))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	156
0	44	154
1	96	152
2	204	152
3	616	152
4	2770	152
5	4338	152
6	4916	152
7	5046	152
8	5128	152
9	5166	152
10	5207	152
11	5667	152
12	5871	152
13	5871	152
14	5975	152
15	6020	152
16	6076	152
17	6108	152
18	6112	152
19	6116	152
20	6116	152
21	6116	152
0	6116	152

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize80.0ms (1%)

Memory

10.7MiB live, 130.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 z z z)
accuracy	0.4122274375025416	(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
accuracy	1.4389097343179553	(/.f64 x (fma.f64 z z z))
accuracy	4.347597272123202	(*.f64 y (/.f64 x (fma.f64 z z z)))
accuracy	0	(neg.f64 y)
accuracy	0.05078125	(*.f64 (neg.f64 z) (fma.f64 z z z))
accuracy	4.239939084529857	(/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))
accuracy	4.565263904759332	(.f64 (neg.f64 y) (/.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	7.715397244913699	(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 x y)
accuracy	7.715397244913699	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
accuracy	22.545882072497882	#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy	0	(fma.f64 z z z)
accuracy	0	(/.f64 x z)
accuracy	2.290074831138233	(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
accuracy	5.1831969665753945	(*.f64 (/.f64 x z) y)

Samples

45.0ms

256×

valid

Compiler

Compiled 319 to 52 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 13.0ms (44.5% of total)

ival-div: 11.0ms (37.6% of total)

ival-add: 2.0ms (6.8% of total)

ival-neg: 2.0ms (6.8% of total)

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

exact: 0.0ms (0% of total)

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

series36.0ms (0.5%)

Memory

4.5MiB live, 42.3MiB allocated

Counts

19 → 62

Calls

Call 1

Inputs
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
(fma.f64 z z 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)
(/.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 y (/.f64 x (fma.f64 z z z))) z)
(*.f64 y (/.f64 x (fma.f64 z z z)))
(/.f64 x (fma.f64 z z z))
(/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))

Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ (* x y) z)
(/ x z)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(* x y)
(/ (* x y) (+ z (pow z 2)))
(/ x (+ z (pow z 2)))
(* -1 (/ x (* z (+ z (pow z 2)))))
(* -1 y)
(/ (* 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))
z
(* z (+ 1 z))
(pow z 2)
(* (pow z 2) (+ 1 z))
(* -1 (pow z 2))
(* (pow z 2) (- (* -1 z) 1))
(* -1 z)
(/ (+ (* -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 (* -1 (* x z))) z)
(/ (+ x (* z (- (* x z) x))) z)
(/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) 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))
(/ (* 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)))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* -1 (pow z 3))
(* -1 (* (pow z 3) (+ 1 (/ 1 z))))
(/ (+ (* -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 (pow z 2))
(/ (+ x (* -1 (/ x z))) (pow z 2))
(/ (- (+ x (/ x (pow z 2))) (/ x z)) (pow z 2))
(/ (- (+ x (* -1 (/ x (pow z 3)))) (+ (* -1 (/ x (pow z 2))) (/ x z))) (pow z 2))
(* -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)) (/ (* 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 (/ (* x y) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x y) z)) (* -1 (* x y))) z)) (* -1 (* x y))) z)) (* x y)) (pow z 2))
(/ (+ x (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z))) (pow z 2))
(/ (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x z)) (* -1 x)) z)) (* -1 x)) z))) (pow z 2))
(* -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
9.0ms	x	@	0	((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* y x) (* (+ (* 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) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ x (+ (* z z) z)) (/ x (* (neg z) (+ (* z z) z))))
5.0ms	z	@	inf	((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* y x) (* (+ (* 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) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ x (+ (* z z) z)) (/ x (* (neg z) (+ (* z z) z))))
4.0ms	x	@	-inf	((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* y x) (* (+ (* 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) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ x (+ (* z z) z)) (/ x (* (neg z) (+ (* z z) z))))
4.0ms	x	@	inf	((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* y x) (* (+ (* 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) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ x (+ (* z z) z)) (/ x (* (neg z) (+ (* z z) z))))
3.0ms	y	@	-inf	((/ (* (/ x z) y) (+ (* z z) z)) (* (/ x z) y) (/ x z) (+ (* z z) z) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* y x) (* (+ (* 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) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ x (+ (* z z) z)) (/ x (* (neg z) (+ (* z z) z))))

simplify176.0ms (2.3%)

Memory

-5.8MiB live, 146.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	821
1	501	728
2	1298	688
3	4673	644
0	8120	623

Stop Event

1×	iter limit
1×	node limit

Counts

62 → 61

Calls

Call 1

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

rewrite198.0ms (2.6%)

Memory

-2.4MiB live, 233.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	129
0	44	127
1	164	125
2	919	125
0	8705	125

Stop Event

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

Counts

19 → 2 224

Calls

Call 1

Inputs
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
(fma.f64 z z 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)
(/.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 y (/.f64 x (fma.f64 z z z))) z)
(*.f64 y (/.f64 x (fma.f64 z z z)))
(/.f64 x (fma.f64 z z z))
(/.f64 x (*.f64 (neg.f64 z) (fma.f64 z z z)))

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

eval445.0ms (5.8%)

Memory: -106.5MiB live, 382.8MiB allocated
Compiler: Compiled 30 627 to 4 302 computations (86% saved)

prune60.0ms (0.8%)

Memory

-29.3MiB live, 89.5MiB allocated

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	1 571	6	1 577
Fresh	0	5	5
Picked	0	5	5
Done	0	1	1
Total	1 571	17	1 588

Accuracy

100.0%

Counts

1 588 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.8%	(/.f64 (/.f64 x z) (/.f64 (fma.f64 z z z) y))
✓	96.4%	(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
✓	96.4%	(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
	66.9%	(/.f64 (.f64 y #s(approx (/ x (+ ( z z) z)) (/.f64 (/.f64 x z) z))) z)
✓	87.8%	(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
✓	87.8%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
✓	76.7%	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
	90.8%	(*.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal 1 binary64) z)))
	95.1%	(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
	73.3%	(.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) x)
✓	89.1%	(.f64 (neg.f64 y) (/.f64 x (.f64 (neg.f64 z) (fma.f64 z z z))))
▶	80.5%	(.f64 (neg.f64 y) (.f64 x (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))))
▶	83.1%	(.f64 (neg.f64 y) #s(approx (/ x ( (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)))
	85.2%	(.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z))))
▶	80.6%	(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))
	75.5%	#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (/.f64 (*.f64 y x) z) z))
▶	77.6%	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))

Compiler

Compiled 400 to 286 computations (28.5% saved)

simplify281.0ms (3.7%)

Memory

-4.7MiB live, 88.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
cost-diff	0	(neg.f64 y)
cost-diff	192	(.f64 x (/.f64 #s(literal -1 binary64) #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))
cost-diff	256	(.f64 (neg.f64 y) (.f64 x (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))))
cost-diff	0	(/.f64 y z)
cost-diff	0	(/.f64 x z)
cost-diff	0	(*.f64 (/.f64 x z) (/.f64 y z))
cost-diff	0	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y 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	(fma.f64 z z z)
cost-diff	0	(/.f64 (fma.f64 z z z) y)
cost-diff	0	(/.f64 x z)
cost-diff	384	(/.f64 (/.f64 x z) (/.f64 (fma.f64 z z z) y))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	224
0	51	221
1	115	212
2	270	212
3	597	212
4	971	212
5	2145	212
6	4294	212
7	5684	212
8	6322	212
9	6380	212
10	6402	212
11	6406	212
12	6592	212
13	6696	212
14	6808	212
15	6979	212
16	6979	212
17	7003	212
18	7099	212
19	7217	212
20	7221	212
21	7221	212
22	7969	212
0	8003	212

Stop Event

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

Calls

Call 1

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

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

localize105.0ms (1.4%)

Memory

7.7MiB live, 127.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0.09765625	(/.f64 (/.f64 (neg.f64 x) z) z)
accuracy	4.565263904759332	(.f64 (neg.f64 y) #s(approx (/ x ( (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z)))
accuracy	10.009972517767265	#s(approx (/ x (* (neg z) (+ (* z z) z))) (/.f64 (/.f64 (neg.f64 x) z) z))
accuracy	0.5131932714126569	(/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy	4.086544298817401	(.f64 x (/.f64 #s(literal -1 binary64) #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))
accuracy	4.565263904759332	(.f64 (neg.f64 y) (.f64 x (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))))
accuracy	22.545882072497882	#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy	0	(/.f64 y z)
accuracy	0	(/.f64 x z)
accuracy	2.6443546208215407	(*.f64 (/.f64 x z) (/.f64 y z))
accuracy	13.636380984346362	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
accuracy	0	(*.f64 z z)
accuracy	4.239939084529857	(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy	4.565263904759332	(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))
accuracy	22.545882072497882	#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy	0	(fma.f64 z z z)
accuracy	0	(/.f64 x z)
accuracy	1.2721830764604027	(/.f64 (/.f64 x z) (/.f64 (fma.f64 z z z) y))
accuracy	6.623733107203855	(/.f64 (fma.f64 z z z) y)

Samples

53.0ms

256×

valid

Compiler

Compiled 407 to 65 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 15.0ms (40.9% of total)

ival-mult: 15.0ms (40.9% of total)

ival-neg: 3.0ms (8.2% of total)

ival-add: 2.0ms (5.5% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.4%)

Memory

6.9MiB live, 45.6MiB allocated

Counts

19 → 69

Calls

Call 1

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

Outputs
(/ (* x y) (* z (+ z (pow z 2))))
(/ x z)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x (* (pow z 2) (+ 1 z)))
(/ (* x y) (pow z 2))
(* -1 (/ x (* (pow z 2) (+ 1 z))))
(* -1 (/ x (* z (+ z (pow z 2)))))
(* -1 (/ x (pow z 2)))
(* -1 x)
(/ (+ z (pow z 2)) y)
(/ y 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))
(/ z y)
(* z (+ (/ 1 y) (/ z y)))
z
(* z (+ 1 z))
(/ x (pow z 2))
(/ (+ 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))
(/ (* 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) y)
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 2) (+ 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))
(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))
(* -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 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 (/ (+ x (* -1 (/ x z))) (pow z 3)))
(* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x z))) z))) (pow z 3)))
(* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x z))) z))) 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)))
(* -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
9.0ms	y	@	0	((/ (/ x z) (/ (+ (* z z) z) y)) (/ x z) (/ (+ (* z z) z) y) (+ (* z z) z) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (/ x z) (/ y z)) (/ y z) (* (neg y) (* x (/ -1 (* (* z z) (+ z 1))))) (* x (/ -1 (* (* z z) (+ z 1)))) (neg y) (/ -1 (* (* z z) (+ z 1))) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (/ x (* (neg z) (+ (* z z) z))) (/ (/ (neg x) z) z) (neg x))
4.0ms	x	@	inf	((/ (/ x z) (/ (+ (* z z) z) y)) (/ x z) (/ (+ (* z z) z) y) (+ (* z z) z) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (/ x z) (/ y z)) (/ y z) (* (neg y) (* x (/ -1 (* (* z z) (+ z 1))))) (* x (/ -1 (* (* z z) (+ z 1)))) (neg y) (/ -1 (* (* z z) (+ z 1))) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (/ x (* (neg z) (+ (* z z) z))) (/ (/ (neg x) z) z) (neg x))
4.0ms	x	@	-inf	((/ (/ x z) (/ (+ (* z z) z) y)) (/ x z) (/ (+ (* z z) z) y) (+ (* z z) z) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (/ x z) (/ y z)) (/ y z) (* (neg y) (* x (/ -1 (* (* z z) (+ z 1))))) (* x (/ -1 (* (* z z) (+ z 1)))) (neg y) (/ -1 (* (* z z) (+ z 1))) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (/ x (* (neg z) (+ (* z z) z))) (/ (/ (neg x) z) z) (neg x))
3.0ms	x	@	0	((/ (/ x z) (/ (+ (* z z) z) y)) (/ x z) (/ (+ (* z z) z) y) (+ (* z z) z) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (/ x z) (/ y z)) (/ y z) (* (neg y) (* x (/ -1 (* (* z z) (+ z 1))))) (* x (/ -1 (* (* z z) (+ z 1)))) (neg y) (/ -1 (* (* z z) (+ z 1))) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (/ x (* (neg z) (+ (* z z) z))) (/ (/ (neg x) z) z) (neg x))
3.0ms	y	@	-inf	((/ (/ x z) (/ (+ (* z z) z) y)) (/ x z) (/ (+ (* z z) z) y) (+ (* z z) z) (* y (/ x (* (* z z) (+ z 1)))) (/ x (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (/ (* x y) (* (* z z) (+ z 1))) (* (/ x z) (/ y z)) (/ y z) (* (neg y) (* x (/ -1 (* (* z z) (+ z 1))))) (* x (/ -1 (* (* z z) (+ z 1)))) (neg y) (/ -1 (* (* z z) (+ z 1))) (* (neg y) (/ x (* (neg z) (+ (* z z) z)))) (/ x (* (neg z) (+ (* z z) z))) (/ (/ (neg x) z) z) (neg x))

simplify153.0ms (2%)

Memory

1.6MiB live, 118.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	213	849
1	640	779
2	1709	731
3	5816	720
0	8101	697

Stop Event

1×	iter limit
1×	node limit

Counts

69 → 68

Calls

Call 1

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

rewrite182.0ms (2.4%)

Memory

4.6MiB live, 196.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	185
0	51	182
1	194	174
2	1238	174
0	8571	174

Stop Event

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

Counts

19 → 896

Calls

Call 1

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

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

eval219.0ms (2.9%)

Memory: 9.4MiB live, 245.0MiB allocated
Compiler: Compiled 20 110 to 2 760 computations (86.3% saved)

prune42.0ms (0.5%)

Memory

-22.4MiB live, 63.2MiB allocated

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	986	6	992
Fresh	2	4	6
Picked	3	2	5
Done	1	5	6
Total	992	17	1 009

Accuracy

100.0%

Counts

1 009 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.8%	(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 z x) z))
▶	78.2%	(/.f64 (/.f64 x z) #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))
	67.3%	(/.f64 (/.f64 x z) #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))
✓	96.4%	(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
✓	96.4%	(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
	66.9%	(/.f64 (.f64 y #s(approx (/ x (+ ( z z) z)) (/.f64 (/.f64 x z) z))) z)
✓	87.8%	(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
✓	87.8%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
✓	76.7%	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
	95.1%	(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
▶	73.3%	(.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) x)
	89.1%	(.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y)
▶	85.2%	(.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z))))
✓	80.6%	(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))
▶	83.1%	(.f64 y #s(approx (/ x ( (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)))
	84.0%	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
✓	77.6%	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))

Compiler

Compiled 376 to 265 computations (29.5% saved)

simplify167.0ms (2.2%)

Memory

6.7MiB live, 79.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	191
0	51	190
1	103	183
2	221	183
3	662	183
4	2787	183
5	4492	183
6	5621	183
7	6132	183
8	6300	183
9	6346	183
10	6661	183
11	7589	183
0	8147	183

Stop Event

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

Calls

Call 1

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

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

localize148.0ms (1.9%)

Memory

-10.5MiB live, 72.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 z y)
accuracy	0	(/.f64 x z)
accuracy	1.2721830764604027	(/.f64 (/.f64 x z) #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))
accuracy	31.7563530229479	#s(approx (/ (+ (* z z) z) y) (/.f64 z y))
accuracy	0	(neg.f64 x)
accuracy	0.05078125	(*.f64 (neg.f64 z) (fma.f64 z z z))
accuracy	4.518394234040799	(/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))
accuracy	6.357390211792999	(.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z))))
accuracy	0	(/.f64 x z)
accuracy	0.09765625	(/.f64 (/.f64 x z) z)
accuracy	4.565263904759332	(.f64 y #s(approx (/ x ( (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)))
accuracy	10.009972517767265	#s(approx (/ x (* (* z z) (+ z 1))) (/.f64 (/.f64 x z) z))
accuracy	0	(*.f64 z z)
accuracy	4.518394234040799	(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy	6.357390211792999	(.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) x)
accuracy	22.545882072497882	#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy	0	(+.f64 #s(literal 1 binary64) z)
accuracy	0.01171875	(/.f64 y (+.f64 #s(literal 1 binary64) z))
accuracy	0.13671875	(*.f64 (/.f64 z x) z)
accuracy	1.3783305767772451	(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 z x) z))

Samples

83.0ms

256×

valid

Compiler

Compiled 360 to 62 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 38.0ms (57% of total)

ival-div: 22.0ms (33% of total)

ival-add: 4.0ms (6% of total)

ival-neg: 2.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.3%)

Memory

19.7MiB live, 19.7MiB allocated

Counts

20 → 84

Calls

Call 1

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

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

Calls

9 calls:

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

simplify322.0ms (4.2%)

Memory

7.5MiB live, 126.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	968
1	665	877
2	1718	816
3	5835	815
0	8150	793

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 82

Calls

Call 1

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

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

rewrite338.0ms (4.4%)

Memory

1.4MiB live, 163.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	165
0	51	164
1	195	157
2	1303	157
0	8428	157

Stop Event

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

Counts

20 → 976

Calls

Call 1

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

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

eval112.0ms (1.5%)

Memory: 13.0MiB live, 204.3MiB allocated
Compiler: Compiled 16 896 to 2 637 computations (84.4% saved)

prune27.0ms (0.3%)

Memory

-0.3MiB live, 74.0MiB allocated

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	910	2	912
Fresh	0	5	5
Picked	2	3	5
Done	0	7	7
Total	912	17	929

Accuracy

100.0%

Counts

929 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.2%	(/.f64 (/.f64 x z) #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))
	67.3%	(/.f64 (/.f64 x z) #s(approx (/ (+ (* z z) z) y) (*.f64 (/.f64 z y) z)))
✓	96.4%	(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
✓	96.4%	(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
	66.9%	(/.f64 (.f64 y #s(approx (/ x (+ ( z z) z)) (/.f64 (/.f64 x z) z))) z)
✓	87.8%	(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
✓	87.8%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
✓	76.7%	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
	66.2%	(/.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) (*.f64 (/.f64 z x) z))
	95.1%	(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
	85.2%	(.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))) x)
✓	73.3%	(.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) x)
	89.1%	(.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y)
✓	80.6%	(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))
✓	83.1%	(.f64 y #s(approx (/ x ( (* z z) (+ z 1))) (/.f64 (/.f64 x z) z)))
	84.0%	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
✓	77.6%	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))

Compiler

Compiled 599 to 268 computations (55.3% saved)

regimes46.0ms (0.6%)

Memory

2.4MiB live, 90.3MiB allocated

Counts

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

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

Calls

6 calls:

9.0ms	z
8.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
7.0ms	y
7.0ms	x
7.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
99.4%	2	`x`
97.8%	1	`y`
97.8%	1	`z`
97.8%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
97.8%	1	`(*.f64 x y)`
97.8%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes63.0ms (0.8%)

Memory

-6.4MiB live, 71.6MiB allocated

Counts

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

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

Calls

6 calls:

28.0ms	z
7.0ms	x
7.0ms	y
6.0ms	(*.f64 x y)
6.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
96.4%	1	`y`
96.4%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
98.2%	2	`z`
96.4%	1	`(*.f64 x y)`
98.2%	2	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
96.4%	1	`x`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes36.0ms (0.5%)

Memory

-12.9MiB live, 29.3MiB allocated

Counts

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

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

Calls

2 calls:

29.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
6.0ms	z

Results

Accuracy	Segments	Branch
98.2%	2	`z`
98.2%	2	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes41.0ms (0.5%)

Memory

4.6MiB live, 80.5MiB 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 (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
#s(approx (/ (* (/ x z) y) (+ (* z z) z)) (/.f64 (/.f64 (*.f64 y x) z) z))
(.f64 y #s(approx (/ x ( (* z z) (+ z 1))) (/.f64 (/.f64 x 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 (.f64 y x) (.f64 (fma.f64 z z z) z))
(.f64 (neg.f64 y) (.f64 x (/.f64 #s(literal -1 binary64) #s(approx (* (* z z) (+ z 1)) (*.f64 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 (fma.f64 z z z)) (/.f64 x z))
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (/.f64 x z) #s(approx (/ (+ (* z z) z) y) (/.f64 z y)))
(/.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) (*.f64 (/.f64 z x) z))

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

Calls

6 calls:

9.0ms	y
9.0ms	z
6.0ms	x
6.0ms	(*.f64 x y)
5.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
96.4%	1	`x`
96.4%	1	`y`
96.4%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
96.4%	1	`(*.f64 x y)`
96.4%	1	`z`
96.4%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes38.0ms (0.5%)

Memory

-17.9MiB live, 70.7MiB allocated

Counts

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

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

Calls

6 calls:

10.0ms	y
8.0ms	(*.f64 x y)
5.0ms	x
5.0ms	z
5.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
96.4%	1	`x`
96.4%	1	`y`
96.4%	1	`z`
96.4%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
96.4%	1	`(*.f64 x y)`
96.4%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes32.0ms (0.4%)

Memory

9.0MiB live, 48.6MiB allocated

Counts

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

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

Calls

6 calls:

7.0ms	z
5.0ms	y
5.0ms	x
5.0ms	(*.f64 x y)
4.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
95.1%	1	`x`
95.1%	1	`y`
95.1%	1	`z`
95.1%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
95.1%	1	`(*.f64 x y)`
95.1%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes45.0ms (0.6%)

Memory

3.1MiB live, 42.7MiB allocated

Counts

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
90.9%	2	`x`
91.9%	2	`y`
94.1%	3	`z`
92.8%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
94.0%	3	`(*.f64 x y)`
94.1%	3	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes15.0ms (0.2%)

Memory

-15.7MiB live, 21.6MiB allocated

Counts

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

4 calls:

6.0ms	(*.f64 x y)
3.0ms	z
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
92.2%	2	`(*.f64 x y)`
92.8%	3	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
92.8%	3	`z`
91.8%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`

Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes17.0ms (0.2%)

Memory

31.5MiB live, 31.5MiB allocated

Counts

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

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

Calls

6 calls:

3.0ms	z
3.0ms	x
3.0ms	y
3.0ms	(*.f64 x y)
2.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
84.0%	1	`x`
84.0%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
84.0%	1	`z`
84.0%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
84.0%	1	`y`
84.0%	1	`(*.f64 x y)`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes18.0ms (0.2%)

Memory

-17.3MiB live, 21.5MiB allocated

Counts

4 → 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)))

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:

8.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(*.f64 x y)
2.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
84.2%	3	`z`
83.4%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
83.0%	2	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
80.6%	1	`x`
83.9%	2	`y`
83.9%	2	`(*.f64 x y)`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes11.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Accuracy

Total -6.2b remaining (-50.1%)

Threshold costs -6.2b (-50.1%)

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

6 calls:

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

Results

Accuracy	Segments	Branch
80.6%	1	`x`
80.6%	1	`z`
80.6%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
80.6%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
80.6%	1	`(*.f64 x y)`
80.6%	1	`y`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

bsearch11.0ms (0.1%)

Memory

-24.0MiB live, 12.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.8157880202073092e-33	1.0605469757097904e-32

Samples

7.0ms

80×

valid

Compiler

Compiled 119 to 105 computations (11.8% saved)

Precisions

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

ival-mult: 1.0ms (41.3% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.35755906996303e+280	3.913505204663819e+281

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	2.35755906996303e+280	3.913505204663819e+281

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.7683198359902198e+25	1.8996746317552006e+42

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	6.404420026035485e-135	4.2961969331975437e-134

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch11.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	8.657293593003217e+57	1.760976430592665e+60

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 (59.1% of total)

ival-div: 1.0ms (29.6% of total)

ival-add: 1.0ms (29.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify28.0ms (0.4%)

Memory

12.8MiB live, 48.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	287
1	88	287

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 2740315569995443/365375409332725729550921208179070754913983135744 binary64)) (/.f64 (.f64 (/.f64 x z) y) (fma.f64 z z z)) (.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal 1 binary64) z))))
(if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 40000000000000001311289839314483929942828211320859742570533343097637704127894973437117375146896471722152699903272966032748065387076427827839759644051721700844991152169824802632610930894205983859613141956500412025163704055697793426085237942593040184883151427072434204228050588008448 binary64)) (/.f64 (.f64 (/.f64 x z) y) (fma.f64 z z z)) (/.f64 (/.f64 x z) #s(approx (/ (+ ( z z) z) y) (*.f64 (/.f64 z y) z))))
(if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 40000000000000001311289839314483929942828211320859742570533343097637704127894973437117375146896471722152699903272966032748065387076427827839759644051721700844991152169824802632610930894205983859613141956500412025163704055697793426085237942593040184883151427072434204228050588008448 binary64)) (/.f64 (.f64 (/.f64 x z) y) (fma.f64 z z z)) (/.f64 (.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 (/.f64 x z) z))) z))
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(if (<=.f64 (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 50000000000000002382364672 binary64)) (.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (.f64 (fma.f64 z z z) z))) x) #s(approx (/ ( x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z))))
(if (<=.f64 (.f64 x y) #s(literal 8183476519740355/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 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 (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
(if (<=.f64 y #s(literal 310000000000000014639025412094593321247306804215928770789376 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
(if (<=.f64 x #s(literal 2740315569995443/365375409332725729550921208179070754913983135744 binary64)) (/.f64 (.f64 (/.f64 x z) y) (fma.f64 z z z)) (.f64 (/.f64 (/.f64 y z) z) (/.f64 x (+.f64 #s(literal 1 binary64) z))))
(if (<=.f64 x #s(literal 2740315569995443/365375409332725729550921208179070754913983135744 binary64)) (/.f64 (.f64 y (/.f64 x z)) (fma.f64 z z z)) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 y z) z)))
(if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 40000000000000001311289839314483929942828211320859742570533343097637704127894973437117375146896471722152699903272966032748065387076427827839759644051721700844991152169824802632610930894205983859613141956500412025163704055697793426085237942593040184883151427072434204228050588008448 binary64)) (/.f64 (.f64 (/.f64 x z) y) (fma.f64 z z z)) (/.f64 (/.f64 x z) #s(approx (/ (+ ( z z) z) y) (*.f64 (/.f64 z y) z))))
(if (<=.f64 (.f64 (+.f64 #s(literal 1 binary64) z) (.f64 z z)) #s(literal 40000000000000001311289839314483929942828211320859742570533343097637704127894973437117375146896471722152699903272966032748065387076427827839759644051721700844991152169824802632610930894205983859613141956500412025163704055697793426085237942593040184883151427072434204228050588008448 binary64)) (/.f64 (.f64 y (/.f64 x z)) (fma.f64 z z z)) (/.f64 (/.f64 x z) #s(approx (/ (+ ( z z) z) y) (*.f64 (/.f64 z y) z))))
(if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 40000000000000001311289839314483929942828211320859742570533343097637704127894973437117375146896471722152699903272966032748065387076427827839759644051721700844991152169824802632610930894205983859613141956500412025163704055697793426085237942593040184883151427072434204228050588008448 binary64)) (/.f64 (.f64 (/.f64 x z) y) (fma.f64 z z z)) (/.f64 (.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 (/.f64 x z) z))) z))
(if (<=.f64 (.f64 (+.f64 #s(literal 1 binary64) z) (.f64 z z)) #s(literal 40000000000000001311289839314483929942828211320859742570533343097637704127894973437117375146896471722152699903272966032748065387076427827839759644051721700844991152169824802632610930894205983859613141956500412025163704055697793426085237942593040184883151427072434204228050588008448 binary64)) (/.f64 (.f64 y (/.f64 x z)) (fma.f64 z z z)) (/.f64 (.f64 #s(approx (/ x (+ (* z z) z)) (/.f64 (/.f64 x z) z)) y) z))
(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
(/.f64 (*.f64 y (/.f64 x z)) (fma.f64 z z z))
(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
(/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z)
(*.f64 (/.f64 y (fma.f64 z z z)) (/.f64 x z))
(if (<=.f64 (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 50000000000000002382364672 binary64)) (.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (.f64 (fma.f64 z z z) z))) x) #s(approx (/ ( x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z))))
(if (<=.f64 (/.f64 (.f64 y x) (.f64 (+.f64 #s(literal 1 binary64) z) (.f64 z z))) #s(literal 50000000000000002382364672 binary64)) (.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (.f64 (fma.f64 z z z) z))) x) #s(approx (/ ( x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z))))
(if (<=.f64 (.f64 x y) #s(literal 8183476519740355/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 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 y x) #s(literal 8183476519740355/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 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 (/ (* x y) (* (* z z) (+ z 1))) (/.f64 y (*.f64 (/.f64 z x) z)))
(if (<=.f64 y #s(literal 310000000000000014639025412094593321247306804215928770789376 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 310000000000000014639025412094593321247306804215928770789376 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)

soundness1.8s (22.8%)

Memory

-2.5MiB live, 959.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	968
1	665	877
2	1718	816
3	5835	815
0	8150	793
0	63	244
1	202	225
2	575	207
3	3500	189
0	8385	184
0	34	185
0	51	182
1	194	174
2	1238	174
0	8571	174
0	168	821
1	501	728
2	1298	688
3	4673	644
0	8120	623
0	213	849
1	640	779
2	1709	731
3	5816	720
0	8101	697
0	26	129
0	44	127
1	164	125
2	919	125
0	8705	125
0	9	27
0	14	27
1	55	27
2	338	27
3	3204	27
0	8488	25

Stop Event

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

Compiler

Compiled 734 to 341 computations (53.5% saved)

preprocess401.0ms (5.2%)

Memory: -17.0MiB live, 423.4MiB allocated
Compiler: Compiled 1 248 to 576 computations (53.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze71.0ms (0.9%)

sample888.0ms (11.5%)

explain166.0ms (2.2%)

preprocess80.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.1%)

localize28.0ms (0.4%)

series11.0ms (0.1%)

simplify201.0ms (2.6%)

rewrite158.0ms (2.1%)

eval90.0ms (1.2%)

prune16.0ms (0.2%)

simplify253.0ms (3.3%)

localize80.0ms (1%)

series36.0ms (0.5%)

simplify176.0ms (2.3%)

rewrite198.0ms (2.6%)

eval445.0ms (5.8%)

prune60.0ms (0.8%)

simplify281.0ms (3.7%)

localize105.0ms (1.4%)

series33.0ms (0.4%)

simplify153.0ms (2%)

rewrite182.0ms (2.4%)

eval219.0ms (2.9%)

prune42.0ms (0.5%)

simplify167.0ms (2.2%)

localize148.0ms (1.9%)

series25.0ms (0.3%)

simplify322.0ms (4.2%)

rewrite338.0ms (4.4%)

eval112.0ms (1.5%)

prune27.0ms (0.3%)

regimes46.0ms (0.6%)

regimes63.0ms (0.8%)

regimes36.0ms (0.5%)

regimes41.0ms (0.5%)

regimes38.0ms (0.5%)

regimes32.0ms (0.4%)

regimes45.0ms (0.6%)

regimes15.0ms (0.2%)

regimes17.0ms (0.2%)

regimes18.0ms (0.2%)

regimes11.0ms (0.1%)

bsearch11.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch11.0ms (0.1%)

simplify28.0ms (0.4%)

soundness1.8s (22.8%)

preprocess401.0ms (5.2%)

end0.0ms (0%)

Profiling