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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze111.0ms (1.2%)

Memory

-15.4MiB live, 67.3MiB 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)

sample998.0ms (11.1%)

Memory

6.6MiB live, 1 625.6MiB allocated

Samples

652.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 383.0ms

ival-mult: 256.0ms (66.8% of total)

ival-add: 57.0ms (14.9% of total)

ival-div: 53.0ms (13.8% of total)

ival-true: 7.0ms (1.8% of total)

exact: 6.0ms (1.6% of total)

ival-assert: 4.0ms (1% of total)

Bogosity

explain111.0ms (1.2%)

Memory

18.7MiB live, 257.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
40	-	5	(-2.5282312706010223e-170 -7.042485561957679e+50 4.787719417621027e-160)	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`(+.f64 z #s(literal 1 binary64))`
0	-	0	-	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`y`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	o/o	12	0
↳	`(*.f64 x y)`	overflow	25
↳	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`	overflow	96
↳	`(*.f64 z z)`	overflow	76
`/.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	96
↳	`(*.f64 z z)`	overflow	76
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	o/n	5	0
↳	`(*.f64 x y)`	overflow	25
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	n/u	4	0
↳	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`	underflow	52
↳	`(*.f64 z z)`	underflow	52
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	u/n	4	0
↳	`(*.f64 x y)`	underflow	24
`/.f64`	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`	u/u	4	0
↳	`(*.f64 x y)`	underflow	24
↳	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`	underflow	52
↳	`(*.f64 z z)`	underflow	52

Confusion

	Predicted +	Predicted -
+	35	5
-	0	216

Precision

1.0

Recall

0.875

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	35	0	5
-	0	0	216

Precision?

1.0

Recall?

0.875

Freqs

test

number	freq
0	221
1	35

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms

512×

valid

Compiler

Compiled 108 to 40 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 37.0ms (81.2% of total)

ival-div: 4.0ms (8.8% of total)

ival-add: 3.0ms (6.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess49.0ms (0.6%)

Memory

13.5MiB live, 54.5MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune3.0ms (0%)

Memory

-37.8MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.8%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify7.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB 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)

localize66.0ms (0.7%)

Memory

7.7MiB live, 46.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 x y)
accuracy	0.0625	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
accuracy	8.972748231289808	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))

Samples

60.0ms

256×

valid

Compiler

Compiled 64 to 20 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 49.0ms (94.1% of total)

ival-div: 2.0ms (3.8% of total)

ival-add: 1.0ms (1.9% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.3%)

Memory

-8.6MiB live, 30.6MiB allocated

Counts

5 → 96

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())
#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())

Outputs
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 z) (taylor 0 z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 z) (taylor 0 z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 z) (taylor 0 z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor inf z) (#s(alt (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 3) (+ 1 (/ 1 z))) (taylor inf z) (#s(alt (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 3) (+ 1 (/ 1 z))) (taylor inf z) (#s(alt (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 3) (+ 1 (/ 1 z))) (taylor inf z) (#s(alt (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor inf z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ 1 z))) (taylor inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ 1 z))) (taylor inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ 1 z))) (taylor inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 3)) (taylor inf z) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3)) (taylor inf z) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3)) (taylor inf z) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3)) (taylor inf z) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow z 3) (taylor -inf z) (#s(alt (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 3) (+ 1 (/ 1 z))) (taylor -inf z) (#s(alt (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 3) (+ 1 (/ 1 z))) (taylor -inf z) (#s(alt (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 3) (+ 1 (/ 1 z))) (taylor -inf z) (#s(alt (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) (patch (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor -inf z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ 1 z))) (taylor -inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ 1 z))) (taylor -inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ 1 z))) (taylor -inf z) (#s(alt (+.f64 z #s(literal 1 binary64)) (patch (+.f64 z #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 3)) (taylor -inf z) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3))) (taylor -inf z) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3))) (taylor -inf z) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3))) (taylor -inf z) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor 0 y) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf y) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf y) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf y) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf y) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf y) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor 0 x) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf x) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf x) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf x) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf x) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) (patch (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	((* (* z z) (+ z 1)) (* x y) (* z z) (+ z 1) (/ (* x y) (* (* z z) (+ z 1))))
2.0ms	y	@	inf	((* (* z z) (+ z 1)) (* x y) (* z z) (+ z 1) (/ (* x y) (* (* z z) (+ z 1))))
1.0ms	y	@	-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	y	@	0	((* (* z z) (+ z 1)) (* x y) (* z z) (+ z 1) (/ (* x y) (* (* z z) (+ z 1))))

simplify221.0ms (2.5%)

Memory

5.3MiB live, 290.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	683
1	202	664
2	577	646
3	3492	628
0	8400	593

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite159.0ms (1.8%)

Memory

-10.1MiB live, 307.8MiB 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
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval186.0ms (2.1%)

Memory: 15.6MiB live, 178.0MiB allocated
Compiler: Compiled 9 982 to 1 515 computations (84.8% saved)

prune24.0ms (0.3%)

Memory

-20.5MiB live, 64.7MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	561	16	577
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	561	17	578

Accuracy

100.0%

Counts

578 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.4%	(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z)
▶	96.9%	(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x)))
	94.7%	(/.f64 (/.f64 y z) (/.f64 (fma.f64 z z z) x))
	94.4%	(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
▶	94.8%	(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
	85.8%	(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
	92.7%	(/.f64 (.f64 y #s(literal 1 binary64)) (.f64 z (/.f64 (fma.f64 z z z) x)))
✓	85.8%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
▶	73.3%	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
	92.7%	(/.f64 (.f64 #s(literal 1 binary64) y) (.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)))
	90.6%	(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
	92.5%	(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
▶	89.4%	(.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 y x) (neg.f64 (fma.f64 z z z))))
	88.0%	(.f64 (neg.f64 y) (/.f64 x (.f64 (neg.f64 z) (fma.f64 z z z))))
▶	85.3%	(.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z))))
	65.8%	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 y x)) (*.f64 z z)))
	73.4%	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))

Compiler

Compiled 355 to 271 computations (23.7% saved)

simplify161.0ms (1.8%)

Memory

19.2MiB live, 133.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (fma.f64 z z z))
cost-diff	0	(*.f64 y x)
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	832	(.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 y x) (neg.f64 (fma.f64 z z z))))
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 x)
cost-diff	256	(.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z))))
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
cost-diff	0	(*.f64 x y)
cost-diff	0	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
cost-diff	0	(*.f64 z (/.f64 z x))
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 z (/.f64 z x)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	177
0	53	175
1	116	169
2	300	169
3	1078	169
4	3661	169
5	5524	169
6	6650	169
7	7037	169
8	7272	169
9	7348	169
10	7716	169
0	8143	169

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

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

localize104.0ms (1.2%)

Memory

-16.9MiB live, 223.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0	(neg.f64 (fma.f64 z z z))
accuracy	1.200614149666316	(.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 y x) (neg.f64 (fma.f64 z z z))))
accuracy	8.356562550326757	(/.f64 (*.f64 y x) (neg.f64 (fma.f64 z z z)))
accuracy	0	(fma.f64 z z z)
accuracy	1.107648093657275	(/.f64 x (fma.f64 z z z))
accuracy	1.1654579022271414	(/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z)
accuracy	5.582797740256049	(*.f64 y (/.f64 x (fma.f64 z z z)))
accuracy	0	(neg.f64 x)
accuracy	0.04296875	(*.f64 (neg.f64 z) (fma.f64 z z z))
accuracy	5.594363414031536	(/.f64 y (*.f64 (neg.f64 z) (fma.f64 z z z)))
accuracy	5.727959297893031	(.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z))))
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 x y)
accuracy	8.972748231289808	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
accuracy	24.473379648617787	#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy	0	(+.f64 #s(literal 1 binary64) z)
accuracy	0.0078125	(/.f64 y (+.f64 #s(literal 1 binary64) z))
accuracy	0.1328125	(*.f64 z (/.f64 z x))
accuracy	1.9732386209116162	(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x)))

Samples

79.0ms

256×

valid

Compiler

Compiled 346 to 59 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 33.0ms (53.3% of total)

ival-div: 21.0ms (33.9% of total)

ival-add: 4.0ms (6.5% of total)

ival-neg: 3.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

series63.0ms (0.7%)

Memory

-20.2MiB live, 160.1MiB allocated

Counts

22 → 504

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (.f64 z (/.f64 z x))) (patch (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (.f64 z (/.f64 z x))) #<representation binary64>) () ())
#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) z)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) z) (patch (+.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())
#s(alt (.f64 z (/.f64 z x)) (patch (.f64 z (/.f64 z x)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (.f64 z z))) (patch (/.f64 (.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (* (* z z) (+ z 1)) (.f64 z z)) (patch #s(approx ( (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())
#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z)))) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 z) (fma.f64 z z z)) (patch (.f64 (neg.f64 z) (fma.f64 z z z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 y (/.f64 x (fma.f64 z z z))) z) (patch (/.f64 (.f64 y (/.f64 x (fma.f64 z z z))) z) #<representation binary64>) () ())
#s(alt (.f64 y (/.f64 x (fma.f64 z z z))) (patch (.f64 y (/.f64 x (fma.f64 z z z))) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 z z z)) (patch (/.f64 x (fma.f64 z z z)) #<representation binary64>) () ())
#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 y x) (neg.f64 (fma.f64 z z z)))) (patch (.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 y x) (neg.f64 (fma.f64 z z z)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt (neg.f64 (fma.f64 z z z)) (patch (neg.f64 (fma.f64 z z z)) #<representation binary64>) () ())
#s(alt (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z))) (patch (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z))) #<representation binary64>) () ())
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Outputs
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#s(alt (+ y (* -1 (* y z))) (taylor 0 z) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) z)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
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#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt #s(approx (* (* z z) (+ z 1)) (.f64 z z)) (patch #s(approx ( (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt #s(approx (* (* z z) (+ z 1)) (.f64 z z)) (patch #s(approx ( (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt #s(approx (* (* z z) (+ z 1)) (.f64 z z)) (patch #s(approx ( (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) (fma.f64 z z z)) (patch (.f64 (neg.f64 z) (fma.f64 z z z)) #<representation binary64>) () ())) ())
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#s(alt (* (pow z 2) (- (* -1 z) 1)) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) (fma.f64 z z z)) (patch (.f64 (neg.f64 z) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* -1 z) 1)) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) (fma.f64 z z z)) (patch (.f64 (neg.f64 z) (fma.f64 z z z)) #<representation binary64>) () ())) ())
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#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (.f64 y (/.f64 x (fma.f64 z z z))) z) (patch (/.f64 (.f64 y (/.f64 x (fma.f64 z z z))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (.f64 y (/.f64 x (fma.f64 z z z))) z) (patch (/.f64 (.f64 y (/.f64 x (fma.f64 z z z))) z) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (.f64 y (/.f64 x (fma.f64 z z z))) z) (patch (/.f64 (.f64 y (/.f64 x (fma.f64 z z z))) z) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) z) (taylor 0 z) (#s(alt (.f64 y (/.f64 x (fma.f64 z z z))) (patch (.f64 y (/.f64 x (fma.f64 z z z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z) (taylor 0 z) (#s(alt (.f64 y (/.f64 x (fma.f64 z z z))) (patch (.f64 y (/.f64 x (fma.f64 z z z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z) (taylor 0 z) (#s(alt (.f64 y (/.f64 x (fma.f64 z z z))) (patch (.f64 y (/.f64 x (fma.f64 z z z))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 z) (#s(alt (/.f64 x (fma.f64 z z z)) (patch (/.f64 x (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* z (- (* x z) x))) z) (taylor 0 z) (#s(alt (/.f64 x (fma.f64 z z z)) (patch (/.f64 x (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) z) (taylor 0 z) (#s(alt (/.f64 x (fma.f64 z z z)) (patch (/.f64 x (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 z) (#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 z)) (taylor 0 z) (#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 z)) (taylor 0 z) (#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 z)) (taylor 0 z) (#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 y x) (neg.f64 (fma.f64 z z z)))) (patch (.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 y x) (neg.f64 (fma.f64 z z z)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ y (pow z 2))) (taylor 0 z) (#s(alt (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z))) (patch (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z))) #<representation binary64>) () ())) ())
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#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (.f64 z (/.f64 z x))) (patch (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (.f64 z (/.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (.f64 z (/.f64 z x))) (patch (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (.f64 z (/.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (.f64 z (/.f64 z x))) (patch (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (.f64 z (/.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (.f64 z (/.f64 z x)) (patch (.f64 z (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (.f64 z (/.f64 z x)) (patch (.f64 z (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (.f64 z (/.f64 z x)) (patch (.f64 z (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) x) (taylor -inf x) (#s(alt (.f64 z (/.f64 z x)) (patch (.f64 z (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (.f64 z z))) (patch (/.f64 (.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (.f64 z z))) (patch (/.f64 (.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (.f64 z z))) (patch (/.f64 (.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (.f64 z z))) (patch (/.f64 (.f64 x y) #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z)))) (patch (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (.f64 y (/.f64 x (fma.f64 z z z))) z) (patch (/.f64 (.f64 y (/.f64 x (fma.f64 z z z))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (.f64 y (/.f64 x (fma.f64 z z z))) z) (patch (/.f64 (.f64 y (/.f64 x (fma.f64 z z z))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (.f64 y (/.f64 x (fma.f64 z z z))) z) (patch (/.f64 (.f64 y (/.f64 x (fma.f64 z z z))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (.f64 y (/.f64 x (fma.f64 z z z))) z) (patch (/.f64 (.f64 y (/.f64 x (fma.f64 z z z))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ z (pow z 2))) (taylor -inf x) (#s(alt (.f64 y (/.f64 x (fma.f64 z z z))) (patch (.f64 y (/.f64 x (fma.f64 z z z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ z (pow z 2))) (taylor -inf x) (#s(alt (.f64 y (/.f64 x (fma.f64 z z z))) (patch (.f64 y (/.f64 x (fma.f64 z z z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ z (pow z 2))) (taylor -inf x) (#s(alt (.f64 y (/.f64 x (fma.f64 z z z))) (patch (.f64 y (/.f64 x (fma.f64 z z z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ z (pow z 2))) (taylor -inf x) (#s(alt (.f64 y (/.f64 x (fma.f64 z z z))) (patch (.f64 y (/.f64 x (fma.f64 z z z))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ z (pow z 2))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z z z)) (patch (/.f64 x (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ z (pow z 2))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z z z)) (patch (/.f64 x (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ z (pow z 2))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z z z)) (patch (/.f64 x (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ z (pow z 2))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 z z z)) (patch (/.f64 x (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 y x) (neg.f64 (fma.f64 z z z)))) (patch (.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 y x) (neg.f64 (fma.f64 z z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 y x) (neg.f64 (fma.f64 z z z)))) (patch (.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 y x) (neg.f64 (fma.f64 z z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 y x) (neg.f64 (fma.f64 z z z)))) (patch (.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 y x) (neg.f64 (fma.f64 z z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 y x) (neg.f64 (fma.f64 z z z)))) (patch (.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 y x) (neg.f64 (fma.f64 z z z)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x y) (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (.f64 y x) (neg.f64 (fma.f64 z z z))) (patch (/.f64 (.f64 y x) (neg.f64 (fma.f64 z z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x y) (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (.f64 y x) (neg.f64 (fma.f64 z z z))) (patch (/.f64 (.f64 y x) (neg.f64 (fma.f64 z z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x y) (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (.f64 y x) (neg.f64 (fma.f64 z z z))) (patch (/.f64 (.f64 y x) (neg.f64 (fma.f64 z z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x y) (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (.f64 y x) (neg.f64 (fma.f64 z z z))) (patch (/.f64 (.f64 y x) (neg.f64 (fma.f64 z z z))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	x	@	0	((/ (/ y (+ 1 z)) (* z (/ z x))) (/ y (+ 1 z)) (+ 1 z) (* z (/ z x)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (* (neg z) (+ (* z z) z)) (neg z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ x (+ (* z z) z)) (+ (* z z) z) (* (/ -1 z) (/ (* y x) (neg (+ (* z z) z)))) (/ -1 z) (* y x) (neg (+ (* z z) z)) (/ y (* (neg z) (+ (* z z) z))) (/ (* y x) (neg (+ (* z z) z))))
5.0ms	y	@	inf	((/ (/ y (+ 1 z)) (* z (/ z x))) (/ y (+ 1 z)) (+ 1 z) (* z (/ z x)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (* (neg z) (+ (* z z) z)) (neg z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ x (+ (* z z) z)) (+ (* z z) z) (* (/ -1 z) (/ (* y x) (neg (+ (* z z) z)))) (/ -1 z) (* y x) (neg (+ (* z z) z)) (/ y (* (neg z) (+ (* z z) z))) (/ (* y x) (neg (+ (* z z) z))))
4.0ms	z	@	-inf	((/ (/ y (+ 1 z)) (* z (/ z x))) (/ y (+ 1 z)) (+ 1 z) (* z (/ z x)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (* (neg z) (+ (* z z) z)) (neg z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ x (+ (* z z) z)) (+ (* z z) z) (* (/ -1 z) (/ (* y x) (neg (+ (* z z) z)))) (/ -1 z) (* y x) (neg (+ (* z z) z)) (/ y (* (neg z) (+ (* z z) z))) (/ (* y x) (neg (+ (* z z) z))))
4.0ms	x	@	-inf	((/ (/ y (+ 1 z)) (* z (/ z x))) (/ y (+ 1 z)) (+ 1 z) (* z (/ z x)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (* (neg z) (+ (* z z) z)) (neg z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ x (+ (* z z) z)) (+ (* z z) z) (* (/ -1 z) (/ (* y x) (neg (+ (* z z) z)))) (/ -1 z) (* y x) (neg (+ (* z z) z)) (/ y (* (neg z) (+ (* z z) z))) (/ (* y x) (neg (+ (* z z) z))))
4.0ms	z	@	0	((/ (/ y (+ 1 z)) (* z (/ z x))) (/ y (+ 1 z)) (+ 1 z) (* z (/ z x)) (/ (* x y) (* (* z z) (+ z 1))) (* x y) (* (* z z) (+ z 1)) (* z z) (* (neg x) (/ y (* (neg z) (+ (* z z) z)))) (neg x) (* (neg z) (+ (* z z) z)) (neg z) (/ (* y (/ x (+ (* z z) z))) z) (* y (/ x (+ (* z z) z))) (/ x (+ (* z z) z)) (+ (* z z) z) (* (/ -1 z) (/ (* y x) (neg (+ (* z z) z)))) (/ -1 z) (* y x) (neg (+ (* z z) z)) (/ y (* (neg z) (+ (* z z) z))) (/ (* y x) (neg (+ (* z z) z))))

simplify232.0ms (2.6%)

Memory

2.8MiB live, 233.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	241	4602
1	717	4351
2	1818	4146
3	5852	4088
0	8732	3887

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 500

Calls

Call 1

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

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

rewrite576.0ms (6.4%)

Memory

27.6MiB live, 185.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	149
0	53	147
1	208	141
2	1392	141
0	8705	141

Stop Event

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

Counts

22 → 1 720

Calls

Call 1

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

Outputs
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eval463.0ms (5.2%)

Memory: 25.3MiB live, 562.1MiB allocated
Compiler: Compiled 39 722 to 4 470 computations (88.7% saved)

prune62.0ms (0.7%)

Memory

4.0MiB live, 205.7MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	2 443	13	2 456
Fresh	6	5	11
Picked	3	2	5
Done	0	1	1
Total	2 452	21	2 473

Accuracy

100.0%

Counts

2 473 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.4%	(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) x) z) z)
▶	94.4%	(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
	61.1%	(/.f64 (.f64 y (/.f64 x #s(approx (+ ( z z) z) (*.f64 z z)))) z)
	62.9%	(/.f64 (.f64 y #s(approx (/ x (+ ( z z) z)) (/.f64 (/.f64 x z) z))) z)
	73.9%	(/.f64 (.f64 y #s(approx (/ x (+ ( z z) z)) (/.f64 x z))) z)
	85.8%	(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
✓	85.8%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
✓	73.3%	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
▶	92.7%	(/.f64 (neg.f64 y) (*.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)))
	62.2%	(/.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) (*.f64 z (/.f64 z x)))
	92.7%	(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))
	90.6%	(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
	71.0%	(.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) x)
	58.1%	(.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 y x) (neg.f64 #s(approx (+ (* z z) z) (*.f64 z z)))))
✓	85.3%	(.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z))))
▶	58.8%	(.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z)))))
▶	77.8%	(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))
▶	80.1%	#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 x z) z) y))
	88.0%	#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y))
	65.8%	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 y x)) (*.f64 z z)))
	73.4%	#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))

Compiler

Compiled 393 to 313 computations (20.4% saved)

simplify109.0ms (1.2%)

Memory

-31.5MiB live, 102.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (neg.f64 z) x)
cost-diff	0	(*.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z))
cost-diff	0	(neg.f64 y)
cost-diff	256	(/.f64 (neg.f64 y) (*.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)))
cost-diff	0	(neg.f64 z)
cost-diff	0	(.f64 (neg.f64 z) #s(approx (+ ( z z) z) (*.f64 z z)))
cost-diff	0	(neg.f64 x)
cost-diff	256	(.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z)))))
cost-diff	0	(/.f64 x z)
cost-diff	0	(/.f64 (/.f64 x z) z)
cost-diff	0	(*.f64 (/.f64 (/.f64 x z) z) y)
cost-diff	0	#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 x z) z) y))
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
cost-diff	0	(/.f64 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 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: 2 (0.0ms)

Iter	Nodes	Cost
0	34	201
0	53	199
1	116	195
2	297	193
3	991	193
4	3600	193
5	5887	193
6	7178	193
7	7596	193
8	7729	193
9	7777	193
0	8069	193

Stop Event

1×	iter limit
1×	node limit
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 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))
y
(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
x
#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
(*.f64 z z)
z
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 x z) z) y))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/.f64 (/.f64 x z) z)
(/.f64 x z)
x
z
y
(.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z)))))
(neg.f64 x)
x
(/.f64 y (.f64 (neg.f64 z) #s(approx (+ ( z z) z) (*.f64 z z))))
y
(.f64 (neg.f64 z) #s(approx (+ ( z z) z) (*.f64 z z)))
(neg.f64 z)
z
#s(approx (+ (* z z) z) (*.f64 z z))
(*.f64 z z)
(/.f64 (neg.f64 y) (*.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)))
(neg.f64 y)
y
(*.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z))
(/.f64 (neg.f64 z) x)
(neg.f64 z)
z
x
(fma.f64 z z z)

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

localize93.0ms (1%)

Memory

-14.8MiB live, 180.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 z)
accuracy	0	(neg.f64 y)
accuracy	0.139003759768442	(*.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z))
accuracy	4.65138491875254	(/.f64 (neg.f64 y) (*.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)))
accuracy	0.04296875	(.f64 (neg.f64 z) #s(approx (+ ( z z) z) (*.f64 z z)))
accuracy	5.594363414031536	(/.f64 y (.f64 (neg.f64 z) #s(approx (+ ( z z) z) (*.f64 z z))))
accuracy	5.727959297893031	(.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z)))))
accuracy	29.624950483629064	#s(approx (+ (* z z) z) (*.f64 z z))
accuracy	0	(/.f64 x z)
accuracy	0.10546875	(/.f64 (/.f64 x z) z)
accuracy	6.255919432860187	(*.f64 (/.f64 (/.f64 x z) z) y)
accuracy	16.39226307281068	#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 x z) z) y))
accuracy	0	(*.f64 z z)
accuracy	4.774816366537424	(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))
accuracy	5.271541319737914	(/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy	24.473379648617787	#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy	0	(fma.f64 z z z)
accuracy	0	(/.f64 x z)
accuracy	3.534277806352793	(/.f64 (*.f64 (/.f64 x z) y) (fma.f64 z z z))
accuracy	5.048665504877021	(*.f64 (/.f64 x z) y)

Samples

72.0ms

256×

valid

Compiler

Compiled 329 to 55 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-div: 24.0ms (51.2% of total)

ival-mult: 13.0ms (27.7% of total)

ival-add: 6.0ms (12.8% of total)

ival-neg: 3.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

series45.0ms (0.5%)

Memory

13.5MiB live, 93.8MiB allocated

Counts

21 → 492

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 (/.f64 x z) y) (fma.f64 z z z)) (patch (/.f64 (.f64 (/.f64 x z) y) (fma.f64 z z z)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x z) y) (patch (.f64 (/.f64 x z) y) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())
#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())
#s(alt (.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (.f64 z z)))) (patch (.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (* (* z z) (+ z 1)) (.f64 z z))) (patch (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())
#s(alt #s(approx (* (* z z) (+ z 1)) (.f64 z z)) (patch #s(approx ( (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())
#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (.f64 (/.f64 (/.f64 x z) z) y)) (patch #s(approx (/ (/ y (+ 1 z)) ( z (/ z x))) (*.f64 (/.f64 (/.f64 x z) z) y)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (/.f64 x z) z) y) (patch (.f64 (/.f64 (/.f64 x z) z) y) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 x z) z) (patch (/.f64 (/.f64 x z) z) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) #s(approx (+ (* z z) z) (.f64 z z))))) (patch (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) #s(approx (+ ( z z) z) (*.f64 z z))))) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 z) #s(approx (+ ( z z) z) (.f64 z z))) (patch (.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z))) (patch (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z))) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)) (patch (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z z) z) (.f64 z z)) (patch #s(approx (+ ( z z) z) (*.f64 z z)) #<representation binary64>) () ())
#s(alt (/.f64 y (.f64 (neg.f64 z) #s(approx (+ ( z z) z) (.f64 z z)))) (patch (/.f64 y (.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())

Outputs
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (.f64 (/.f64 x z) y) (fma.f64 z z z)) (patch (/.f64 (.f64 (/.f64 x z) y) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (.f64 (/.f64 x z) y) (fma.f64 z z z)) (patch (/.f64 (.f64 (/.f64 x z) y) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (.f64 (/.f64 x z) y) (fma.f64 z z z)) (patch (/.f64 (.f64 (/.f64 x z) y) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (.f64 (/.f64 x z) y) (fma.f64 z z z)) (patch (/.f64 (.f64 (/.f64 x z) y) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (.f64 (/.f64 x z) y) (patch (.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (.f64 (/.f64 x z) y) (patch (.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (.f64 (/.f64 x z) y) (patch (.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (.f64 (/.f64 x z) y) (patch (.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 z) (#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 z)) (taylor 0 z) (#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 z)) (taylor 0 z) (#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 z)) (taylor 0 z) (#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (.f64 z z)))) (patch (.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (.f64 z z)))) (patch (.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (.f64 z z)))) (patch (.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (.f64 z z)))) (patch (.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow z 2)) (taylor 0 z) (#s(alt (/.f64 x #s(approx (* (* z z) (+ z 1)) (.f64 z z))) (patch (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x z))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 x #s(approx (* (* z z) (+ z 1)) (.f64 z z))) (patch (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* z (- (* x z) x))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 x #s(approx (* (* z z) (+ z 1)) (.f64 z z))) (patch (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* z (- (* z (- (* -1 (* x z)) (* -1 x))) x))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 x #s(approx (* (* z z) (+ z 1)) (.f64 z z))) (patch (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt #s(approx (* (* z z) (+ z 1)) (.f64 z z)) (patch #s(approx ( (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt #s(approx (* (* z z) (+ z 1)) (.f64 z z)) (patch #s(approx ( (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt #s(approx (* (* z z) (+ z 1)) (.f64 z z)) (patch #s(approx ( (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt #s(approx (* (* z z) (+ z 1)) (.f64 z z)) (patch #s(approx ( (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (.f64 (/.f64 (/.f64 x z) z) y)) (patch #s(approx (/ (/ y (+ 1 z)) ( z (/ z x))) (*.f64 (/.f64 (/.f64 x z) z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (.f64 (/.f64 (/.f64 x z) z) y)) (patch #s(approx (/ (/ y (+ 1 z)) ( z (/ z x))) (*.f64 (/.f64 (/.f64 x z) z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (.f64 (/.f64 (/.f64 x z) z) y)) (patch #s(approx (/ (/ y (+ 1 z)) ( z (/ z x))) (*.f64 (/.f64 (/.f64 x z) z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (.f64 (/.f64 (/.f64 x z) z) y)) (patch #s(approx (/ (/ y (+ 1 z)) ( z (/ z x))) (*.f64 (/.f64 (/.f64 x z) z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (.f64 (/.f64 (/.f64 x z) z) y) (patch (.f64 (/.f64 (/.f64 x z) z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (.f64 (/.f64 (/.f64 x z) z) y) (patch (.f64 (/.f64 (/.f64 x z) z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (.f64 (/.f64 (/.f64 x z) z) y) (patch (.f64 (/.f64 (/.f64 x z) z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (.f64 (/.f64 (/.f64 x z) z) y) (patch (.f64 (/.f64 (/.f64 x z) z) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 x z) z) (patch (/.f64 (/.f64 x z) z) #<representation binary64>) () ())) ())
#s(alt (/ x (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 x z) z) (patch (/.f64 (/.f64 x z) z) #<representation binary64>) () ())) ())
#s(alt (/ x (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 x z) z) (patch (/.f64 (/.f64 x z) z) #<representation binary64>) () ())) ())
#s(alt (/ x (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 x z) z) (patch (/.f64 (/.f64 x z) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) #s(approx (+ (* z z) z) (.f64 z z))))) (patch (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) #s(approx (+ ( z z) z) (*.f64 z z))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) #s(approx (+ (* z z) z) (.f64 z z))))) (patch (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) #s(approx (+ ( z z) z) (*.f64 z z))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) #s(approx (+ (* z z) z) (.f64 z z))))) (patch (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) #s(approx (+ ( z z) z) (*.f64 z z))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) #s(approx (+ (* z z) z) (.f64 z z))))) (patch (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) #s(approx (+ ( z z) z) (*.f64 z z))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) #s(approx (+ ( z z) z) (.f64 z z))) (patch (.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* -1 z) 1)) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) #s(approx (+ ( z z) z) (.f64 z z))) (patch (.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* -1 z) 1)) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) #s(approx (+ ( z z) z) (.f64 z z))) (patch (.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* -1 z) 1)) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) #s(approx (+ ( z z) z) (.f64 z z))) (patch (.f64 (neg.f64 z) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z))) (patch (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z))) (patch (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z))) (patch (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z))) (patch (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow z 2) x)) (taylor 0 z) (#s(alt (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)) (patch (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* -1 (/ z x)) (/ 1 x))) (taylor 0 z) (#s(alt (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)) (patch (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* -1 (/ z x)) (/ 1 x))) (taylor 0 z) (#s(alt (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)) (patch (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (* -1 (/ z x)) (/ 1 x))) (taylor 0 z) (#s(alt (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)) (patch (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 z) (#s(alt #s(approx (+ (* z z) z) (.f64 z z)) (patch #s(approx (+ ( z z) z) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 z)) (taylor 0 z) (#s(alt #s(approx (+ (* z z) z) (.f64 z z)) (patch #s(approx (+ ( z z) z) (*.f64 z z)) #<representation binary64>) () ())) ())
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#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z))) (patch (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z))) (patch (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z))) (patch (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ z (pow z 2))) x)) (taylor inf x) (#s(alt (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)) (patch (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ z (pow z 2))) x)) (taylor inf x) (#s(alt (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)) (patch (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ z (pow z 2))) x)) (taylor inf x) (#s(alt (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)) (patch (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ z (pow z 2))) x)) (taylor inf x) (#s(alt (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)) (patch (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor inf x) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor inf x) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor inf x) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor inf x) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (.f64 (/.f64 x z) y) (fma.f64 z z z)) (patch (/.f64 (.f64 (/.f64 x z) y) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (.f64 (/.f64 x z) y) (fma.f64 z z z)) (patch (/.f64 (.f64 (/.f64 x z) y) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (.f64 (/.f64 x z) y) (fma.f64 z z z)) (patch (/.f64 (.f64 (/.f64 x z) y) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (.f64 (/.f64 x z) y) (fma.f64 z z z)) (patch (/.f64 (.f64 (/.f64 x z) y) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (.f64 (/.f64 x z) y) (patch (.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (.f64 (/.f64 x z) y) (patch (.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (.f64 (/.f64 x z) y) (patch (.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (.f64 (/.f64 x z) y) (patch (.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (.f64 z z)))) (patch (.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (.f64 z z)))) (patch (.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (.f64 z z)))) (patch (.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (.f64 z z)))) (patch (.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ x (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (* (* z z) (+ z 1)) (.f64 z z))) (patch (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ x (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (* (* z z) (+ z 1)) (.f64 z z))) (patch (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ x (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (* (* z z) (+ z 1)) (.f64 z z))) (patch (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ x (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (* (* z z) (+ z 1)) (.f64 z z))) (patch (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (.f64 (/.f64 (/.f64 x z) z) y)) (patch #s(approx (/ (/ y (+ 1 z)) ( z (/ z x))) (*.f64 (/.f64 (/.f64 x z) z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (.f64 (/.f64 (/.f64 x z) z) y)) (patch #s(approx (/ (/ y (+ 1 z)) ( z (/ z x))) (*.f64 (/.f64 (/.f64 x z) z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (.f64 (/.f64 (/.f64 x z) z) y)) (patch #s(approx (/ (/ y (+ 1 z)) ( z (/ z x))) (*.f64 (/.f64 (/.f64 x z) z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (.f64 (/.f64 (/.f64 x z) z) y)) (patch #s(approx (/ (/ y (+ 1 z)) ( z (/ z x))) (*.f64 (/.f64 (/.f64 x z) z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 (/.f64 x z) z) y) (patch (.f64 (/.f64 (/.f64 x z) z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 (/.f64 x z) z) y) (patch (.f64 (/.f64 (/.f64 x z) z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 (/.f64 x z) z) y) (patch (.f64 (/.f64 (/.f64 x z) z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 (/.f64 x z) z) y) (patch (.f64 (/.f64 (/.f64 x z) z) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow z 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x z) z) (patch (/.f64 (/.f64 x z) z) #<representation binary64>) () ())) ())
#s(alt (/ x (pow z 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x z) z) (patch (/.f64 (/.f64 x z) z) #<representation binary64>) () ())) ())
#s(alt (/ x (pow z 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x z) z) (patch (/.f64 (/.f64 x z) z) #<representation binary64>) () ())) ())
#s(alt (/ x (pow z 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x z) z) (patch (/.f64 (/.f64 x z) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) #s(approx (+ (* z z) z) (.f64 z z))))) (patch (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) #s(approx (+ ( z z) z) (*.f64 z z))))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) #s(approx (+ (* z z) z) (.f64 z z))))) (patch (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) #s(approx (+ ( z z) z) (*.f64 z z))))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) #s(approx (+ (* z z) z) (.f64 z z))))) (patch (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) #s(approx (+ ( z z) z) (*.f64 z z))))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) #s(approx (+ (* z z) z) (.f64 z z))))) (patch (.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) #s(approx (+ ( z z) z) (*.f64 z z))))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z))) (patch (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z))) (patch (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z))) (patch (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z))) (patch (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ z (pow z 2))) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)) (patch (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ z (pow z 2))) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)) (patch (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ z (pow z 2))) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)) (patch (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ z (pow z 2))) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)) (patch (.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify156.0ms (1.7%)

Memory

18.7MiB live, 172.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	4242
1	568	4119
2	1572	3925
3	5782	3920
0	8392	3733

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 490

Calls

Call 1

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

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

rewrite182.0ms (2%)

Memory

2.0MiB live, 232.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	174
0	53	172
1	205	166
2	1445	166
0	8531	166

Stop Event

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

Counts

21 → 1 119

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

Outputs
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eval201.0ms (2.2%)

Memory: 12.9MiB live, 440.4MiB allocated
Compiler: Compiled 27 680 to 3 124 computations (88.7% saved)

prune52.0ms (0.6%)

Memory

-39.0MiB live, 122.3MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	1 818	12	1 830
Fresh	7	6	13
Picked	4	1	5
Done	1	2	3
Total	1 830	21	1 851

Accuracy

100.0%

Counts

1 851 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.4%	(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) x) z) z)
▶	94.4%	(/.f64 (/.f64 y (/.f64 z x)) (fma.f64 z z z))
	62.9%	(/.f64 (.f64 y #s(approx (/ x (+ ( z z) z)) (/.f64 (/.f64 x z) z))) z)
	73.9%	(/.f64 (.f64 y #s(approx (/ x (+ ( z z) z)) (/.f64 x z))) z)
	56.5%	(/.f64 (.f64 y x) (.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))
✓	85.8%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
✓	73.3%	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
▶	58.0%	(/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ ( z z) z) (*.f64 z z))))
	92.7%	(/.f64 (neg.f64 y) (.f64 (-.f64 #s(literal -1 binary64) z) (.f64 (/.f64 z x) z)))
	62.2%	(/.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) (*.f64 z (/.f64 z x)))
	62.1%	(/.f64 x (.f64 #s(approx (+ ( z z) z) (*.f64 z z)) (/.f64 z y)))
	90.6%	(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
	62.1%	(.f64 (/.f64 (/.f64 y z) #s(approx (+ ( z z) z) (*.f64 z z))) x)
▶	85.3%	(.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x)
▶	71.0%	(.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) x)
▶	62.1%	(.f64 (/.f64 x z) (/.f64 y #s(approx (+ ( z z) z) (*.f64 z z))))
	85.3%	(.f64 (.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z z) z)))
	88.0%	(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))))
✓	77.8%	(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))
	57.5%	#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 (.f64 (fma.f64 (neg.f64 y) z y) x) (.f64 z z)))
	80.9%	#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 y (*.f64 (/.f64 z x) z)))

Compiler

Compiled 395 to 313 computations (20.8% saved)

simplify154.0ms (1.7%)

Memory

17.1MiB live, 55.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 z)
cost-diff	0	(/.f64 (neg.f64 z) x)
cost-diff	0	(.f64 (/.f64 (neg.f64 z) x) #s(approx (+ ( z z) z) (*.f64 z z)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (* z z) z) (*.f64 z z))
cost-diff	0	(/.f64 y #s(approx (+ (* z z) z) (*.f64 z z)))
cost-diff	0	(/.f64 x z)
cost-diff	0	(fma.f64 z z z)
cost-diff	0	(*.f64 (fma.f64 z z z) z)
cost-diff	0	(/.f64 y (*.f64 (fma.f64 z z z) z))
cost-diff	0	(.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x)
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
cost-diff	0	(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
cost-diff	0	(.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) x)
cost-diff	0	(fma.f64 z z z)
cost-diff	0	(/.f64 z x)
cost-diff	0	(/.f64 y (/.f64 z x))
cost-diff	768	(/.f64 (/.f64 y (/.f64 z x)) (fma.f64 z z z))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	193
0	47	191
1	91	188
2	195	188
3	488	188
4	1411	188
5	2806	188
6	4939	188
7	6358	188
8	6599	188
9	6646	188
10	6659	188
11	7217	188
12	7461	188
13	7461	188
14	7461	188
0	8097	188

Stop Event

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

Calls

Call 1

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

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

localize123.0ms (1.4%)

Memory

-23.0MiB live, 90.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 y)
accuracy	0.139003759768442	(.f64 (/.f64 (neg.f64 z) x) #s(approx (+ ( z z) z) (*.f64 z z)))
accuracy	4.65138491875254	(/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ ( z z) z) (*.f64 z z))))
accuracy	29.624950483629064	#s(approx (+ (* z z) z) (*.f64 z z))
accuracy	0	(*.f64 z z)
accuracy	1.0552119525980936	(.f64 (/.f64 x z) (/.f64 y #s(approx (+ ( z z) z) (*.f64 z z))))
accuracy	8.815004837381226	(/.f64 y #s(approx (+ (* z z) z) (*.f64 z z)))
accuracy	29.624950483629064	#s(approx (+ (* z z) z) (*.f64 z z))
accuracy	0	(fma.f64 z z z)
accuracy	0.04296875	(*.f64 (fma.f64 z z z) z)
accuracy	5.594363414031536	(/.f64 y (*.f64 (fma.f64 z z z) z))
accuracy	5.727959297893031	(.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x)
accuracy	0	(*.f64 z z)
accuracy	5.594363414031536	(/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z)))
accuracy	5.727959297893031	(.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) x)
accuracy	24.473379648617787	#s(approx (* (* z z) (+ z 1)) (*.f64 z z))
accuracy	0	(fma.f64 z z z)
accuracy	0	(/.f64 z x)
accuracy	3.534277806352793	(/.f64 (/.f64 y (/.f64 z x)) (fma.f64 z z z))
accuracy	5.276421215047528	(/.f64 y (/.f64 z x))

Samples

88.0ms

256×

valid

Compiler

Compiled 319 to 49 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 52.0ms (72.6% of total)

ival-div: 15.0ms (20.9% of total)

ival-add: 3.0ms (4.2% of total)

ival-neg: 2.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.4%)

Memory

23.4MiB live, 59.9MiB allocated

Counts

20 → 468

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 y (/.f64 z x)) (fma.f64 z z z)) (patch (/.f64 (/.f64 y (/.f64 z x)) (fma.f64 z z z)) #<representation binary64>) () ())
#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())
#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())
#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (.f64 z z))) x) (patch (.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) #<representation binary64>) () ())
#s(alt (/.f64 y #s(approx (* (* z z) (+ z 1)) (.f64 z z))) (patch (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())
#s(alt #s(approx (* (* z z) (+ z 1)) (.f64 z z)) (patch #s(approx ( (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())
#s(alt (.f64 z z) (patch (.f64 z z) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x) (patch (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x) #<representation binary64>) () ())
#s(alt (/.f64 y (.f64 (fma.f64 z z z) z)) (patch (/.f64 y (.f64 (fma.f64 z z z) z)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 z z z) z) (patch (.f64 (fma.f64 z z z) z) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())
#s(alt (/.f64 y #s(approx (+ (* z z) z) (.f64 z z))) (patch (/.f64 y #s(approx (+ ( z z) z) (*.f64 z z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z z) z) (.f64 z z)) (patch #s(approx (+ ( z z) z) (*.f64 z z)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ ( z z) z) (.f64 z z))) (patch (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x z) (/.f64 y #s(approx (+ ( z z) z) (.f64 z z)))) (patch (.f64 (/.f64 x z) (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ ( z z) z) (.f64 z z)))) (patch (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())

Outputs
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 y (/.f64 z x)) (fma.f64 z z z)) (patch (/.f64 (/.f64 y (/.f64 z x)) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 y (/.f64 z x)) (fma.f64 z z z)) (patch (/.f64 (/.f64 y (/.f64 z x)) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 y (/.f64 z x)) (fma.f64 z z z)) (patch (/.f64 (/.f64 y (/.f64 z x)) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 y (/.f64 z x)) (fma.f64 z z z)) (patch (/.f64 (/.f64 y (/.f64 z x)) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 z) (#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 z)) (taylor 0 z) (#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 z)) (taylor 0 z) (#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 z)) (taylor 0 z) (#s(alt (fma.f64 z z z) (patch (fma.f64 z z z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (pow z 2)) (taylor 0 z) (#s(alt (.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (.f64 z z))) x) (patch (.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2)) (taylor 0 z) (#s(alt (.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (.f64 z z))) x) (patch (.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (.f64 z z))) x) (patch (.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2)) (taylor 0 z) (#s(alt (.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (.f64 z z))) x) (patch (.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) #<representation binary64>) () ())) ())
#s(alt (/ y (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y #s(approx (* (* z z) (+ z 1)) (.f64 z z))) (patch (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 (* y z))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y #s(approx (* (* z z) (+ z 1)) (.f64 z z))) (patch (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* z (- (* y z) y))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y #s(approx (* (* z z) (+ z 1)) (.f64 z z))) (patch (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y #s(approx (* (* z z) (+ z 1)) (.f64 z z))) (patch (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt #s(approx (* (* z z) (+ z 1)) (.f64 z z)) (patch #s(approx ( (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt #s(approx (* (* z z) (+ z 1)) (.f64 z z)) (patch #s(approx ( (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ 1 z)) (taylor 0 z) (#s(alt #s(approx (* (* z z) (+ z 1)) (.f64 z z)) (patch #s(approx ( (* z z) (+ z 1)) (*.f64 z z)) #<representation binary64>) () ())) ())
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#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf x) (#s(alt (.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (.f64 z z))) x) (patch (.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf x) (#s(alt (.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (.f64 z z))) x) (patch (.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf x) (#s(alt (.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (.f64 z z))) x) (patch (.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor inf x) (#s(alt (.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (.f64 z z))) x) (patch (.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x) (patch (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x) (patch (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x) (patch (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x) (patch (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ z (pow z 2))) x)) (taylor inf x) (#s(alt (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ ( z z) z) (.f64 z z))) (patch (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ z (pow z 2))) x)) (taylor inf x) (#s(alt (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ ( z z) z) (.f64 z z))) (patch (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ z (pow z 2))) x)) (taylor inf x) (#s(alt (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ ( z z) z) (.f64 z z))) (patch (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ z (pow z 2))) x)) (taylor inf x) (#s(alt (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ ( z z) z) (.f64 z z))) (patch (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor inf x) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor inf x) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor inf x) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor inf x) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (.f64 (/.f64 x z) (/.f64 y #s(approx (+ ( z z) z) (.f64 z z)))) (patch (.f64 (/.f64 x z) (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (.f64 (/.f64 x z) (/.f64 y #s(approx (+ ( z z) z) (.f64 z z)))) (patch (.f64 (/.f64 x z) (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (.f64 (/.f64 x z) (/.f64 y #s(approx (+ ( z z) z) (.f64 z z)))) (patch (.f64 (/.f64 x z) (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (.f64 (/.f64 x z) (/.f64 y #s(approx (+ ( z z) z) (.f64 z z)))) (patch (.f64 (/.f64 x z) (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ ( z z) z) (.f64 z z)))) (patch (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ ( z z) z) (.f64 z z)))) (patch (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ ( z z) z) (.f64 z z)))) (patch (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor inf x) (#s(alt (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ ( z z) z) (.f64 z z)))) (patch (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 y (/.f64 z x)) (fma.f64 z z z)) (patch (/.f64 (/.f64 y (/.f64 z x)) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 y (/.f64 z x)) (fma.f64 z z z)) (patch (/.f64 (/.f64 y (/.f64 z x)) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 y (/.f64 z x)) (fma.f64 z z z)) (patch (/.f64 (/.f64 y (/.f64 z x)) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 y (/.f64 z x)) (fma.f64 z z z)) (patch (/.f64 (/.f64 y (/.f64 z x)) (fma.f64 z z z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (.f64 z z))) x) (patch (.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (.f64 z z))) x) (patch (.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (.f64 z z))) x) (patch (.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* (pow z 2) (+ 1 z))) (taylor -inf x) (#s(alt (.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (.f64 z z))) x) (patch (.f64 (/.f64 y #s(approx (* (* z z) (+ z 1)) (*.f64 z z))) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x) (patch (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x) (patch (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x) (patch (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x) (patch (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ z (pow z 2))) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ ( z z) z) (.f64 z z))) (patch (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ z (pow z 2))) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ ( z z) z) (.f64 z z))) (patch (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ z (pow z 2))) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ ( z z) z) (.f64 z z))) (patch (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (+ z (pow z 2))) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ ( z z) z) (.f64 z z))) (patch (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ (* z z) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z x)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 z) x) (patch (/.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (/.f64 x z) (/.f64 y #s(approx (+ ( z z) z) (.f64 z z)))) (patch (.f64 (/.f64 x z) (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (/.f64 x z) (/.f64 y #s(approx (+ ( z z) z) (.f64 z z)))) (patch (.f64 (/.f64 x z) (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (/.f64 x z) (/.f64 y #s(approx (+ ( z z) z) (.f64 z z)))) (patch (.f64 (/.f64 x z) (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (.f64 (/.f64 x z) (/.f64 y #s(approx (+ ( z z) z) (.f64 z z)))) (patch (.f64 (/.f64 x z) (/.f64 y #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ ( z z) z) (.f64 z z)))) (patch (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ ( z z) z) (.f64 z z)))) (patch (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ ( z z) z) (.f64 z z)))) (patch (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (* z (+ z (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ ( z z) z) (.f64 z z)))) (patch (/.f64 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ (* z z) z) (*.f64 z z)))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((/ (/ y (/ z x)) (+ (* z z) z)) (/ y (/ z x)) (/ z x) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (/ x z) (/ y (+ (* z z) z)) (+ (* z z) z) (neg y) (* (/ (neg z) x) (+ (* z z) z)) (/ (neg z) x) (neg z) (* (/ x z) (/ y (+ (* z z) z))) (/ (neg y) (* (/ (neg z) x) (+ (* z z) z))))
3.0ms	y	@	-inf	((/ (/ y (/ z x)) (+ (* z z) z)) (/ y (/ z x)) (/ z x) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (/ x z) (/ y (+ (* z z) z)) (+ (* z z) z) (neg y) (* (/ (neg z) x) (+ (* z z) z)) (/ (neg z) x) (neg z) (* (/ x z) (/ y (+ (* z z) z))) (/ (neg y) (* (/ (neg z) x) (+ (* z z) z))))
2.0ms	y	@	inf	((/ (/ y (/ z x)) (+ (* z z) z)) (/ y (/ z x)) (/ z x) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (/ x z) (/ y (+ (* z z) z)) (+ (* z z) z) (neg y) (* (/ (neg z) x) (+ (* z z) z)) (/ (neg z) x) (neg z) (* (/ x z) (/ y (+ (* z z) z))) (/ (neg y) (* (/ (neg z) x) (+ (* z z) z))))
2.0ms	z	@	-inf	((/ (/ y (/ z x)) (+ (* z z) z)) (/ y (/ z x)) (/ z x) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (/ x z) (/ y (+ (* z z) z)) (+ (* z z) z) (neg y) (* (/ (neg z) x) (+ (* z z) z)) (/ (neg z) x) (neg z) (* (/ x z) (/ y (+ (* z z) z))) (/ (neg y) (* (/ (neg z) x) (+ (* z z) z))))
2.0ms	x	@	inf	((/ (/ y (/ z x)) (+ (* z z) z)) (/ y (/ z x)) (/ z x) (+ (* z z) z) (* (/ y (* (* z z) (+ z 1))) x) (/ y (* (* z z) (+ z 1))) (* (* z z) (+ z 1)) (* z z) (* (/ y (* (+ (* z z) z) z)) x) (/ y (* (+ (* z z) z) z)) (* (+ (* z z) z) z) (/ x z) (/ y (+ (* z z) z)) (+ (* z z) z) (neg y) (* (/ (neg z) x) (+ (* z z) z)) (/ (neg z) x) (neg z) (* (/ x z) (/ y (+ (* z z) z))) (/ (neg y) (* (/ (neg z) x) (+ (* z z) z))))

simplify208.0ms (2.3%)

Memory

-3.8MiB live, 189.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	4138
1	501	3980
2	1256	3829
3	4613	3731
0	8267	3523

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 466

Calls

Call 1

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

Outputs
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (+ (* -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 z y) y) z y)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 y x))) (.f64 z z))
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
z
(* z (+ 1 z))
(fma.f64 z z z)
(* z (+ 1 z))
(fma.f64 z z z)
(* z (+ 1 z))
(fma.f64 z z z)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (+ (* -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 z y) y) z y)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 y x))) (.f64 z z))
(/ 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 z z #s(literal 1 binary64)) (-.f64 y (.f64 z y))) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(/ (* x y) (pow z 2))
(*.f64 (/.f64 (/.f64 x z) z) y)
(/ (+ (* -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 z y) y) z y)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 y x))) (.f64 z z))
(/ 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 z z #s(literal 1 binary64)) (-.f64 y (.f64 z y))) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(* (pow z 2) (+ 1 z))
(*.f64 (fma.f64 z z z) z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ y z)
(/.f64 y z)
(/ (+ y (* -1 (* y z))) z)
(/.f64 (-.f64 y (*.f64 z y)) z)
(/ (+ y (* z (- (* y z) y))) z)
(/.f64 (fma.f64 (-.f64 (*.f64 z y) y) z y) z)
(/ (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y))) z)
(/.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 y (.f64 z y))) z)
z
(* z (+ 1 z))
(fma.f64 z z z)
(* z (+ 1 z))
(fma.f64 z z z)
(* z (+ 1 z))
(fma.f64 z z z)
(* -1 (/ (pow z 2) x))
(*.f64 (neg.f64 z) (/.f64 z x))
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rewrite189.0ms (2.1%)

Memory

0.5MiB live, 153.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	160
0	47	158
1	168	155
2	1057	155
0	8476	155

Stop Event

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

Counts

20 → 1 401

Calls

Call 1

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

Outputs
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eval377.0ms (4.2%)

Memory: 19.6MiB live, 415.9MiB allocated
Compiler: Compiled 32 224 to 3 535 computations (89% saved)

prune62.0ms (0.7%)

Memory

-6.8MiB live, 156.7MiB allocated

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	2 069	6	2 075
Fresh	3	10	13
Picked	3	2	5
Done	0	3	3
Total	2 075	21	2 096

Accuracy

100.0%

Counts

2 096 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.4%	(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) x) z) z)
	60.8%	(/.f64 (/.f64 y (/.f64 z x)) #s(approx (+ (* z z) z) (*.f64 z z)))
	62.9%	(/.f64 (.f64 y #s(approx (/ x (+ ( z z) z)) (/.f64 (/.f64 x z) z))) z)
	73.9%	(/.f64 (.f64 y #s(approx (/ x (+ ( z z) z)) (/.f64 x z))) z)
	56.5%	(/.f64 (.f64 y x) (.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))
	85.8%	(/.f64 (.f64 x y) (.f64 (fma.f64 z z z) z))
✓	85.8%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
✓	73.3%	(/.f64 (.f64 x y) #s(approx ( (* z z) (+ z 1)) (*.f64 z z)))
	92.7%	(/.f64 (neg.f64 y) (.f64 (-.f64 #s(literal -1 binary64) z) (.f64 (/.f64 z x) z)))
	62.2%	(/.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) (*.f64 z (/.f64 z x)))
	58.0%	(/.f64 y (.f64 #s(approx (+ ( z z) z) (*.f64 z z)) (/.f64 z x)))
	62.1%	(/.f64 x (.f64 (/.f64 #s(approx (+ ( z z) z) (*.f64 z z)) y) z))
	62.1%	(/.f64 x (.f64 #s(approx (+ ( z z) z) (*.f64 z z)) (/.f64 z y)))
	62.1%	(.f64 (/.f64 (/.f64 y z) #s(approx (+ ( z z) z) (*.f64 z z))) x)
✓	85.3%	(.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x)
	58.8%	(.f64 (/.f64 y (.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
✓	71.0%	(.f64 (/.f64 y #s(approx ( (* z z) (+ z 1)) (*.f64 z z))) x)
	85.3%	(.f64 (.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z z) z)))
✓	77.8%	(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))
	65.8%	#s(approx (/ (/ y (/ z x)) (+ (* z z) z)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 y x)) (*.f64 z z)))
	80.9%	#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 y (*.f64 (/.f64 z x) z)))

Compiler

Compiled 711 to 307 computations (56.8% saved)

regimes89.0ms (1%)

Memory

21.1MiB live, 134.6MiB allocated

Counts

48 → 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)))
(.f64 (/.f64 y (.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
(/.f64 (.f64 y x) (.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 x z) z) y))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 y (*.f64 (/.f64 z x) z)))
(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))))
(.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x)
(/.f64 (.f64 x y) (.f64 (fma.f64 z z z) z))
(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
(/.f64 (.f64 y #s(approx (/ x (+ ( z z) z)) (/.f64 x z))) z)
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 y x)) (*.f64 z z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 (.f64 (fma.f64 (neg.f64 y) z y) x) (.f64 z z)))
#s(approx (/ (/ y (/ z x)) (+ (* z z) z)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 y x)) (*.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) #s(approx (+ (* z z) z) (*.f64 z z)))))
(.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z))))
(.f64 (neg.f64 y) (/.f64 x (.f64 (neg.f64 z) (fma.f64 z z z))))
(.f64 (.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z z) z)))
(.f64 (/.f64 x z) (/.f64 y #s(approx (+ ( z z) z) (*.f64 z z))))
(.f64 (/.f64 (/.f64 y z) #s(approx (+ ( z z) z) (*.f64 z z))) x)
(/.f64 x (.f64 #s(approx (+ ( z z) z) (*.f64 z z)) (/.f64 z y)))
(/.f64 x (.f64 (/.f64 #s(approx (+ ( z z) z) (*.f64 z z)) y) z))
(/.f64 y (.f64 #s(approx (+ ( z z) z) (*.f64 z z)) (/.f64 z x)))
(/.f64 (.f64 y (/.f64 x #s(approx (+ ( z z) z) (*.f64 z z)))) z)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) 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 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ ( z z) z) (*.f64 z z))))
(/.f64 (neg.f64 y) (.f64 (-.f64 #s(literal -1 binary64) z) (.f64 (/.f64 z x) z)))
(/.f64 (neg.f64 y) (*.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)))
(/.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) (*.f64 z (/.f64 z x)))
(/.f64 (.f64 y #s(literal 1 binary64)) (.f64 z (/.f64 (fma.f64 z z z) x)))
(/.f64 (.f64 y #s(approx (/ x (+ ( z z) z)) (/.f64 (/.f64 x z) z))) z)
(/.f64 (/.f64 y (/.f64 z x)) #s(approx (+ (* z z) z) (*.f64 z z)))
(.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 y x) (neg.f64 #s(approx (+ (* z z) z) (*.f64 z z)))))
(/.f64 (/.f64 y z) (/.f64 (fma.f64 z z z) x))
(/.f64 (/.f64 y (/.f64 z x)) (fma.f64 z z z))
(.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 y x) (neg.f64 (fma.f64 z z z))))
(/.f64 (.f64 #s(literal 1 binary64) y) (.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x)))
(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) x) z) z)
(/.f64 (/.f64 (*.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) x) z) z)

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

Calls

6 calls:

19.0ms	y
16.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
13.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
13.0ms	x
13.0ms	z

Results

Accuracy	Segments	Branch
96.9%	1	`x`
96.9%	1	`y`
96.9%	1	`z`
96.9%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
96.9%	1	`(*.f64 x y)`
96.9%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes121.0ms (1.4%)

Memory

-7.3MiB live, 123.6MiB allocated

Counts

45 → 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)))
(.f64 (/.f64 y (.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
(/.f64 (.f64 y x) (.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 x z) z) y))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 y (*.f64 (/.f64 z x) z)))
(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))))
(.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x)
(/.f64 (.f64 x y) (.f64 (fma.f64 z z z) z))
(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
(/.f64 (.f64 y #s(approx (/ x (+ ( z z) z)) (/.f64 x z))) z)
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 y x)) (*.f64 z z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 (.f64 (fma.f64 (neg.f64 y) z y) x) (.f64 z z)))
#s(approx (/ (/ y (/ z x)) (+ (* z z) z)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 y x)) (*.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) #s(approx (+ (* z z) z) (*.f64 z z)))))
(.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z))))
(.f64 (neg.f64 y) (/.f64 x (.f64 (neg.f64 z) (fma.f64 z z z))))
(.f64 (.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z z) z)))
(.f64 (/.f64 x z) (/.f64 y #s(approx (+ ( z z) z) (*.f64 z z))))
(.f64 (/.f64 (/.f64 y z) #s(approx (+ ( z z) z) (*.f64 z z))) x)
(/.f64 x (.f64 #s(approx (+ ( z z) z) (*.f64 z z)) (/.f64 z y)))
(/.f64 x (.f64 (/.f64 #s(approx (+ ( z z) z) (*.f64 z z)) y) z))
(/.f64 y (.f64 #s(approx (+ ( z z) z) (*.f64 z z)) (/.f64 z x)))
(/.f64 (.f64 y (/.f64 x #s(approx (+ ( z z) z) (*.f64 z z)))) z)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) 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 (neg.f64 y) (.f64 (/.f64 (neg.f64 z) x) #s(approx (+ ( z z) z) (*.f64 z z))))
(/.f64 (neg.f64 y) (.f64 (-.f64 #s(literal -1 binary64) z) (.f64 (/.f64 z x) z)))
(/.f64 (neg.f64 y) (*.f64 (/.f64 (neg.f64 z) x) (fma.f64 z z z)))
(/.f64 #s(approx (/ y (+ 1 z)) (/.f64 y z)) (*.f64 z (/.f64 z x)))
(/.f64 (.f64 y #s(literal 1 binary64)) (.f64 z (/.f64 (fma.f64 z z z) x)))
(/.f64 (.f64 y #s(approx (/ x (+ ( z z) z)) (/.f64 (/.f64 x z) z))) z)
(/.f64 (/.f64 y (/.f64 z x)) #s(approx (+ (* z z) z) (*.f64 z z)))
(.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 y x) (neg.f64 #s(approx (+ (* z z) z) (*.f64 z z)))))
(/.f64 (/.f64 y z) (/.f64 (fma.f64 z z z) x))
(/.f64 (/.f64 y (/.f64 z x)) (fma.f64 z z z))
(.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 y x) (neg.f64 (fma.f64 z z z))))
(/.f64 (.f64 #s(literal 1 binary64) y) (.f64 (*.f64 z (/.f64 z x)) (+.f64 #s(literal 1 binary64) z)))

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

Calls

6 calls:

35.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
32.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
16.0ms	y
12.0ms	x
12.0ms	z

Results

Accuracy	Segments	Branch
96.7%	2	`x`
94.8%	1	`y`
97.0%	2	`z`
97.3%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
97.0%	2	`(*.f64 x y)`
94.8%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes74.0ms (0.8%)

Memory

-40.3MiB live, 42.3MiB allocated

Counts

31 → 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)))
(.f64 (/.f64 y (.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
(/.f64 (.f64 y x) (.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 x z) z) y))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 y (*.f64 (/.f64 z x) z)))
(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))))
(.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x)
(/.f64 (.f64 x y) (.f64 (fma.f64 z z z) z))
(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
(/.f64 (.f64 y #s(approx (/ x (+ ( z z) z)) (/.f64 x z))) z)
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 y x)) (*.f64 z z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 (.f64 (fma.f64 (neg.f64 y) z y) x) (.f64 z z)))
#s(approx (/ (/ y (/ z x)) (+ (* z z) z)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 y x)) (*.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) #s(approx (+ (* z z) z) (*.f64 z z)))))
(.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z))))
(.f64 (neg.f64 y) (/.f64 x (.f64 (neg.f64 z) (fma.f64 z z z))))
(.f64 (.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z z) z)))
(.f64 (/.f64 x z) (/.f64 y #s(approx (+ ( z z) z) (*.f64 z z))))
(.f64 (/.f64 (/.f64 y z) #s(approx (+ ( z z) z) (*.f64 z z))) x)
(/.f64 x (.f64 #s(approx (+ ( z z) z) (*.f64 z z)) (/.f64 z y)))
(/.f64 x (.f64 (/.f64 #s(approx (+ ( z z) z) (*.f64 z z)) y) z))
(/.f64 y (.f64 #s(approx (+ ( z z) z) (*.f64 z z)) (/.f64 z x)))
(/.f64 (.f64 y (/.f64 x #s(approx (+ ( z z) z) (*.f64 z z)))) z)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))
(/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z))

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

Calls

3 calls:

52.0ms	z
8.0ms	(*.f64 x y)
8.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
97.4%	3	`z`
95.5%	2	`(*.f64 x y)`
96.9%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

regimes17.0ms (0.2%)

Memory

21.7MiB live, 21.7MiB allocated

Counts

30 → 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)))
(.f64 (/.f64 y (.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
(/.f64 (.f64 y x) (.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 x z) z) y))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 y (*.f64 (/.f64 z x) z)))
(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))))
(.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x)
(/.f64 (.f64 x y) (.f64 (fma.f64 z z z) z))
(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
(/.f64 (.f64 y #s(approx (/ x (+ ( z z) z)) (/.f64 x z))) z)
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 y x)) (*.f64 z z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 (.f64 (fma.f64 (neg.f64 y) z y) x) (.f64 z z)))
#s(approx (/ (/ y (/ z x)) (+ (* z z) z)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 y x)) (*.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) #s(approx (+ (* z z) z) (*.f64 z z)))))
(.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z))))
(.f64 (neg.f64 y) (/.f64 x (.f64 (neg.f64 z) (fma.f64 z z z))))
(.f64 (.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z z) z)))
(.f64 (/.f64 x z) (/.f64 y #s(approx (+ ( z z) z) (*.f64 z z))))
(.f64 (/.f64 (/.f64 y z) #s(approx (+ ( z z) z) (*.f64 z z))) x)
(/.f64 x (.f64 #s(approx (+ ( z z) z) (*.f64 z z)) (/.f64 z y)))
(/.f64 x (.f64 (/.f64 #s(approx (+ ( z z) z) (*.f64 z z)) y) z))
(/.f64 y (.f64 #s(approx (+ ( z z) z) (*.f64 z z)) (/.f64 z x)))
(/.f64 (.f64 y (/.f64 x #s(approx (+ ( z z) z) (*.f64 z z)))) z)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)
(/.f64 x (*.f64 z (/.f64 (fma.f64 z z z) y)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.3%	2	`x`
96.5%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`

Compiler

Compiled 12 to 12 computations (0% saved)

regimes44.0ms (0.5%)

Memory

-4.7MiB live, 71.1MiB allocated

Counts

29 → 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)))
(.f64 (/.f64 y (.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z)) x)
(/.f64 (.f64 y x) (.f64 #s(approx (+ (* z z) z) (*.f64 z z)) z))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (*.f64 (/.f64 x z) (/.f64 y z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (*.f64 (/.f64 (/.f64 x z) z) y))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 y (*.f64 (/.f64 z x) z)))
(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 (fma.f64 z z z) z))))
(.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x)
(/.f64 (.f64 x y) (.f64 (fma.f64 z z z) z))
(/.f64 (.f64 y x) (.f64 (fma.f64 z z z) z))
(/.f64 (.f64 y #s(approx (/ x (+ ( z z) z)) (/.f64 x z))) z)
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 y x)) (*.f64 z z)))
#s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 (.f64 (fma.f64 (neg.f64 y) z y) x) (.f64 z z)))
#s(approx (/ (/ y (/ z x)) (+ (* z z) z)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 y x)) (*.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) #s(approx (+ (* z z) z) (*.f64 z z)))))
(.f64 (neg.f64 x) (/.f64 y (.f64 (neg.f64 z) (fma.f64 z z z))))
(.f64 (neg.f64 y) (/.f64 x (.f64 (neg.f64 z) (fma.f64 z z z))))
(.f64 (.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z z) z)))
(.f64 (/.f64 x z) (/.f64 y #s(approx (+ ( z z) z) (*.f64 z z))))
(.f64 (/.f64 (/.f64 y z) #s(approx (+ ( z z) z) (*.f64 z z))) x)
(/.f64 x (.f64 #s(approx (+ ( z z) z) (*.f64 z z)) (/.f64 z y)))
(/.f64 x (.f64 (/.f64 #s(approx (+ ( z z) z) (*.f64 z z)) y) z))
(/.f64 y (.f64 #s(approx (+ ( z z) z) (*.f64 z z)) (/.f64 z x)))
(/.f64 (.f64 y (/.f64 x #s(approx (+ ( z z) z) (*.f64 z z)))) z)
(*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y)

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

Calls

5 calls:

10.0ms	(*.f64 x y)
9.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
8.0ms	y
8.0ms	z
7.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
92.5%	1	`(*.f64 x y)`
96.4%	3	`z`
92.5%	1	`y`
96.4%	3	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
95.1%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`

Compiler

Compiled 23 to 26 computations (-13% saved)

regimes51.0ms (0.6%)

Memory

21.8MiB live, 60.2MiB allocated

Counts

28 → 4

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

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

Calls

6 calls:

12.0ms	z
8.0ms	x
8.0ms	y
8.0ms	(*.f64 x y)
7.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
90.8%	2	`y`
93.9%	3	`(*.f64 x y)`
91.7%	3	`x`
95.0%	3	`z`
96.9%	4	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
92.5%	3	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes13.0ms (0.2%)

Memory

-34.2MiB live, 10.0MiB allocated

Counts

25 → 4

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

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

Calls

1 calls:

12.0ms

(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
96.9%	4	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes7.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

23 → 4

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

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

Calls

1 calls:

6.0ms

(*.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
96.9%	4	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes13.0ms (0.1%)

Memory

23.9MiB live, 23.9MiB allocated

Counts

22 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
93.9%	3	`z`
93.4%	3	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes12.0ms (0.1%)

Memory

-19.8MiB live, 17.3MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	z
4.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
93.1%	3	`(*.f64 x y)`
93.5%	3	`z`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes20.0ms (0.2%)

Memory

-3.0MiB live, 34.6MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
4.0ms	y
4.0ms	z
3.0ms	(*.f64 x y)
3.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
90.8%	2	`y`
88.0%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
90.4%	2	`(*.f64 x y)`
91.6%	3	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
91.8%	3	`z`

Compiler

Compiled 23 to 26 computations (-13% saved)

regimes18.0ms (0.2%)

Memory

0.2MiB live, 36.0MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
82.3%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
90.9%	3	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
79.9%	2	`x`
90.9%	3	`z`
80.9%	2	`(*.f64 x y)`
81.0%	2	`y`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

regimes5.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
88.8%	3	`z`
88.8%	3	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes11.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated

Accuracy

Total -6.3b remaining (-44.3%)

Threshold costs -6.3b (-44.3%)

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

Results

Accuracy	Segments	Branch
77.8%	1	`x`
77.8%	1	`(*.f64 x y)`
77.8%	1	`y`
77.8%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
77.8%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
77.8%	1	`z`

Compiler

Compiled 24 to 29 computations (-20.8% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.317696719526817e-11	0.00018707748144909195

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	3.0601768914762697e-21	1.0799756107080504e-20

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	1.045805974471669e+19	1.6382629303955993e+24

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	0.00018707748144909195	9078058.34609954

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch16.0ms (0.2%)

Memory

-45.0MiB live, 1.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.574401803600268e+33	1.1504138344559204e+46
0.0ms	1.8763724316351839e-171	4.904721041630898e-169
0.0ms	-64426.094500253195	0.0

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.574401803600268e+33	1.1504138344559204e+46
0.0ms	1.8763724316351839e-171	4.904721041630898e-169
0.0ms	-64426.094500253195	0.0

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.574401803600268e+33	1.1504138344559204e+46
0.0ms	1.8763724316351839e-171	4.904721041630898e-169
0.0ms	-64426.094500253195	0.0

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch26.0ms (0.3%)

Memory

31.6MiB live, 31.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	7.154444569920475e-13	1.2992023182847914e-11
13.0ms	-8.845371483893547e-64	-8.716362879411088e-69

Samples

14.0ms

256×

valid

Compiler

Compiled 302 to 271 computations (10.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (62.8% of total)

ival-div: 1.0ms (12.6% of total)

ival-add: 1.0ms (12.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch30.0ms (0.3%)

Memory

-5.5MiB live, 33.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.154444569920475e-13	1.2992023182847914e-11
27.0ms	-8.716362879411088e-69	-4.331711476581957e-86

Samples

9.0ms

160×

valid

Compiler

Compiled 320 to 287 computations (10.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (58.1% of total)

ival-div: 1.0ms (19.4% of total)

ival-add: 1.0ms (19.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Memory

-9.2MiB live, 28.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.3974831571129977e-22	7.919092106611797e-20

Samples

10.0ms

128×

valid

Compiler

Compiled 166 to 151 computations (9% saved)

Precisions

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

ival-mult: 5.0ms (71.2% of total)

ival-div: 1.0ms (14.2% of total)

ival-add: 1.0ms (14.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch30.0ms (0.3%)

Memory

-7.0MiB live, 28.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.5491325429469843e-6	12.69564370780733
10.0ms	-40.424693748233885	-0.22422186845024916

Samples

18.0ms

256×

valid

Compiler

Compiled 302 to 287 computations (5% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 9.0ms (75.5% of total)

ival-div: 1.0ms (8.4% of total)

ival-add: 1.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.5491325429469843e-6	12.69564370780733
1.0ms	-40.424693748233885	-0.22422186845024916

Compiler

Compiled 302 to 287 computations (5% saved)

simplify47.0ms (0.5%)

Memory

-9.9MiB live, 39.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	698
1	135	698

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x)))
(if (<=.f64 (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.f64 x (.f64 z (/.f64 (fma.f64 z z z) y))) (/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z))
(if (<=.f64 (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 6646139978924579/1329227995784915872903807060280344576 binary64)) (/.f64 x (.f64 z (/.f64 (fma.f64 z z z) y))) (/.f64 y (*.f64 (/.f64 (fma.f64 z z z) x) z)))
(if (<=.f64 (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 20000000000000000000 binary64)) (/.f64 x (.f64 z (/.f64 (fma.f64 z z z) y))) (*.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y))
(if (<=.f64 (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 7378697629483821/36893488147419103232 binary64)) (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x) (.f64 (/.f64 (/.f64 x (fma.f64 z z z)) z) y))
(if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -50000 binary64)) (.f64 (/.f64 (/.f64 y z) #s(approx (+ ( z z) z) (.f64 z z))) x) (if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 1087770609288739/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072 binary64)) (/.f64 (.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) (if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 4999999999999999727876154935214080 binary64)) #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y)) (/.f64 x (.f64 (/.f64 #s(approx (+ ( z z) z) (*.f64 z z)) y) z)))))
(if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -50000 binary64)) (.f64 (/.f64 (/.f64 y z) #s(approx (+ ( z z) z) (.f64 z z))) x) (if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 1087770609288739/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072 binary64)) (/.f64 (.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) (if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 4999999999999999727876154935214080 binary64)) #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y)) (.f64 (/.f64 x z) (/.f64 y #s(approx (+ ( z z) z) (*.f64 z z)))))))
(if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -50000 binary64)) (.f64 (/.f64 x z) (/.f64 y #s(approx (+ ( z z) z) (.f64 z z)))) (if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 1087770609288739/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072 binary64)) (/.f64 (.f64 y #s(approx (/ x (+ (* z z) z)) (/.f64 x z))) z) (if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 4999999999999999727876154935214080 binary64)) #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y)) (.f64 (/.f64 x z) (/.f64 y #s(approx (+ ( z z) z) (*.f64 z z)))))))
(if (<=.f64 z #s(literal -6299089654510001/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x) (if (<=.f64 z #s(literal 3565267313141895/4951760157141521099596496896 binary64)) (/.f64 (.f64 y #s(approx (/ x (+ ( z z) z)) (/.f64 x z))) z) (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x)))
(if (<=.f64 z #s(literal -8256342791959349/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) (.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x) (if (<=.f64 z #s(literal 3565267313141895/4951760157141521099596496896 binary64)) #s(approx (/ (/ y (+ 1 z)) (* z (/ z x))) (/.f64 y (.f64 (/.f64 z x) z))) (.f64 (/.f64 y (*.f64 (fma.f64 z z z) z)) x)))
(if (<=.f64 y #s(literal 8294382693697875/5316911983139663491615228241121378304 binary64)) #s(approx (/ (* x y) (* (* z z) (+ z 1))) (.f64 (/.f64 x z) (/.f64 y z))) #s(approx (/ (/ y (+ 1 z)) ( z (/ z x))) (.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y)))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 (/.f64 y (.f64 #s(approx (+ (* z z) z) (.f64 z z)) z)) x) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ ( x y) (* (* z z) (+ z 1))) (.f64 (/.f64 x z) (/.f64 y z))) (.f64 (/.f64 y (.f64 #s(approx (+ ( z z) z) (*.f64 z z)) z)) x)))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 (/.f64 y (.f64 #s(approx (+ (* z z) z) (.f64 z z)) z)) x) (if (<=.f64 z #s(literal 1 binary64)) (.f64 y (/.f64 x #s(approx (* (* z z) (+ z 1)) (.f64 z z)))) (.f64 (/.f64 y (.f64 #s(approx (+ ( z z) z) (*.f64 z z)) z)) x)))
(.f64 y (/.f64 x #s(approx ( (* z z) (+ z 1)) (*.f64 z z))))

Outputs
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z x)))
(/.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) (*.f64 (/.f64 z x) z))
(if (<=.f64 (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.f64 x (.f64 z (/.f64 (fma.f64 z z z) y))) (/.f64 (*.f64 y (/.f64 x (fma.f64 z z z))) z))
(if (<=.f64 (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (/.f64 x (.f64 (/.f64 (fma.f64 z z z) y) z)) (/.f64 (*.f64 (/.f64 x (fma.f64 z z z)) y) z))
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(.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)

soundness2.3s (25.3%)

Memory

19.2MiB live, 1 181.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	4138
1	501	3980
2	1256	3829
3	4613	3731
0	8267	3523
0	9	27
0	14	27
1	55	27
2	338	27
3	3204	27
0	8488	25
0	241	4602
1	717	4351
2	1818	4146
3	5852	4088
0	8732	3887
0	31	149
0	53	147
1	208	141
2	1392	141
0	8705	141
0	34	174
0	53	172
1	205	166
2	1445	166
0	8531	166
0	63	683
1	202	664
2	577	646
3	3492	628
0	8400	593
0	28	160
0	47	158
1	168	155
2	1057	155
0	8476	155

Stop Event

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

Compiler

Compiled 1 510 to 751 computations (50.3% saved)

preprocess414.0ms (4.6%)

Memory: -3.6MiB live, 579.3MiB allocated
Compiler: Compiled 1 744 to 592 computations (66.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze111.0ms (1.2%)

sample998.0ms (11.1%)

explain111.0ms (1.2%)

preprocess49.0ms (0.6%)

eval0.0ms (0%)

prune3.0ms (0%)

simplify7.0ms (0.1%)

localize66.0ms (0.7%)

series22.0ms (0.3%)

simplify221.0ms (2.5%)

rewrite159.0ms (1.8%)

eval186.0ms (2.1%)

prune24.0ms (0.3%)

simplify161.0ms (1.8%)

localize104.0ms (1.2%)

series63.0ms (0.7%)

simplify232.0ms (2.6%)

rewrite576.0ms (6.4%)

eval463.0ms (5.2%)

prune62.0ms (0.7%)

simplify109.0ms (1.2%)

localize93.0ms (1%)

series45.0ms (0.5%)

simplify156.0ms (1.7%)

rewrite182.0ms (2%)

eval201.0ms (2.2%)

prune52.0ms (0.6%)

simplify154.0ms (1.7%)

localize123.0ms (1.4%)

series34.0ms (0.4%)

simplify208.0ms (2.3%)

rewrite189.0ms (2.1%)

eval377.0ms (4.2%)

prune62.0ms (0.7%)

regimes89.0ms (1%)

regimes121.0ms (1.4%)

regimes74.0ms (0.8%)

regimes17.0ms (0.2%)

regimes44.0ms (0.5%)

regimes51.0ms (0.6%)

regimes13.0ms (0.2%)

regimes7.0ms (0.1%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes20.0ms (0.2%)

regimes18.0ms (0.2%)

regimes5.0ms (0.1%)

regimes11.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch16.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch26.0ms (0.3%)

bsearch30.0ms (0.3%)

bsearch16.0ms (0.2%)

bsearch30.0ms (0.3%)

bsearch2.0ms (0%)

simplify47.0ms (0.5%)

soundness2.3s (25.3%)

preprocess414.0ms (4.6%)

end0.0ms (0%)

Profiling