Metrics for Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, G

analyze263.0ms (2.3%)

Memory

-9.0MiB live, 463.3MiB 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
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
6.7%	6.2%	87.4%	0.1%	0%	6.2%	0%	7
6.7%	6.2%	87.4%	0.1%	0%	6.2%	0%	8
20.7%	18.7%	71.8%	0.1%	0%	9.4%	0%	9
34.5%	29.6%	56.2%	0.1%	0%	14%	0%	10
34.5%	29.6%	56.2%	0.1%	0%	14%	0%	11
50.5%	42.1%	41.3%	0.1%	0%	16.4%	0%	12

Compiler

Compiled 15 to 12 computations (20% saved)

sample2.1s (18.7%)

Memory

27.7MiB live, 2 606.4MiB allocated

Samples

753.0ms	2 272×	1	valid
744.0ms	5 984×	0	valid
172.0ms	951×	0	invalid
2.0ms	21×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-log: 471.0ms (35.3% of total)

ival-div: 276.0ms (20.7% of total)

ival-add: 265.0ms (19.9% of total)

ival-exp: 141.0ms (10.6% of total)

ival-mult: 117.0ms (8.8% of total)

adjust: 53.0ms (4% of total)

ival-true: 7.0ms (0.5% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

preprocess260.0ms (2.3%)

Memory

9.8MiB live, 47.4MiB allocated

Algorithm

1×	egg-herbie

Rules

1 782×	`div-sub`
850×	`sub-neg`
614×	`times-frac`
612×	`distribute-rgt-in`
612×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	130
1	106	104
2	224	102
3	480	102
4	1083	102
5	2262	100
6	3232	100
7	4472	100
8	5310	100
9	6024	100
10	6426	100
11	6651	100
12	6930	100
13	7226	100
14	7480	100
15	7805	100
16	7903	100
17	7905	100
18	7905	100
19	7905	100
20	7973	100
0	10	13
0	17	13
1	22	11
2	25	11
3	25	11
0	25	11

Stop Event

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

Calls

Call 1

Inputs
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))

Outputs
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))

explain268.0ms (2.4%)

Memory

6.9MiB live, 323.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
149	36	(-4.046896965369092e+180 -8.293234502691979e+123 4.9898543292724033e-306)	2	(4.208790266655573e+99 -1.4375527993078328e-65 -5.477914996128558e+255)	`(log.f64 (/.f64 y (+.f64 z y)))`
40	0	-	4	(8.540498120628579e-104 3.631591704277882e+269 1.435683436005725e-42)	`(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))`
0	0	-	0	-	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
0	0	-	0	-	`z`
0	0	-	0	-	`(/.f64 y (+.f64 z y))`
0	0	-	0	-	`(+.f64 z y)`
0	0	-	0	-	`(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))`
0	0	-	0	-	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
0	0	-	0	-	`y`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (/.f64 y (+.f64 z y)))`	sensitivity	160	0
`log.f64`	`(log.f64 (/.f64 y (+.f64 z y)))`	uflow-rescue	19	0
↳	`(log.f64 (/.f64 y (+.f64 z y)))`	underflow	36
↳	`(/.f64 y (+.f64 z y))`	underflow	23
`*.f64`	`(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))`	*nu**	7	0

Confusion

	Predicted +	Predicted -
+	38	2
-	141	75

Precision

0.2122905027932961

Recall

0.95

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	38	0	2
-	141	0	75

Precision?

0.2122905027932961

Recall?

0.95

Freqs

test

number	freq
0	77
1	172
2	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

90.0ms	252×	1	valid
25.0ms	50×	2	valid
22.0ms	210×	0	valid

Compiler

Compiled 152 to 44 computations (71.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-log: 46.0ms (42.1% of total)

ival-div: 28.0ms (25.6% of total)

ival-add: 10.0ms (9.1% of total)

adjust: 9.0ms (8.2% of total)

ival-exp: 9.0ms (8.2% of total)

ival-mult: 6.0ms (5.5% of total)

ival-true: 1.0ms (0.9% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune2.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.1%	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify9.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
✓	cost-diff	0	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
✓	cost-diff	0	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
✓	cost-diff	6656	(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))

Rules

8×	`lower-+.f32`
6×	`lower-exp.f32`
4×	`lift-+.f64`
4×	`lift-/.f64`
4×	`exp-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	58
0	17	58
1	22	52
2	25	52
3	25	52
0	25	52

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
x
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
y
(log.f64 (/.f64 y (+.f64 z y)))
(/.f64 y (+.f64 z y))
(+.f64 z y)
z

Outputs
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
x
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
(pow.f64 (/.f64 y (+.f64 y z)) y)
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
(*.f64 y (log.f64 (/.f64 y (+.f64 y z))))
y
(log.f64 (/.f64 y (+.f64 z y)))
(log.f64 (/.f64 y (+.f64 y z)))
(/.f64 y (+.f64 z y))
(/.f64 y (+.f64 y z))
(+.f64 z y)
(+.f64 y z)
z

localize125.0ms (1.1%)

Memory

-11.2MiB live, 107.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
✓	accuracy	100.0%	(/.f64 y (+.f64 z y))
✓	accuracy	86.0%	(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
✓	accuracy	47.5%	(log.f64 (/.f64 y (+.f64 z y)))

Samples

53.0ms	126×	1	valid
38.0ms	25×	2	valid
18.0ms	105×	0	valid

Compiler

Compiled 60 to 12 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-log: 55.0ms (63% of total)

ival-div: 10.0ms (11.5% of total)

ival-add: 7.0ms (8% of total)

adjust: 5.0ms (5.7% of total)

ival-exp: 5.0ms (5.7% of total)

ival-mult: 4.0ms (4.6% of total)

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

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

series33.0ms (0.3%)

Memory

15.3MiB live, 53.2MiB allocated

Counts

6 → 156

Calls

Call 1

Inputs
#<alt (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))>
#<alt (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))>
#<alt (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)>
#<alt (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))>
#<alt (log.f64 (/.f64 y (+.f64 z y)))>
#<alt (/.f64 y (+.f64 z y))>

Outputs
#<alt 1>
#<alt (+ 1 (* y (+ (log y) (log (/ 1 z)))))>
#<alt (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))>
#<alt (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))>
#<alt (exp (* -1 z))>
#<alt (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))>
#<alt (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))>
#<alt (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))))>
#<alt (exp (* -1 z))>
#<alt (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))>
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt (+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))>
#<alt (exp (* y (+ (log y) (log (/ 1 z)))))>
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)))>
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))>
#<alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))))>
#<alt (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))>
#<alt (+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)))>
#<alt (+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))>
#<alt (+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))>
#<alt (/ (pow (/ y (+ y z)) y) y)>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt x>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)>
#<alt (/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)>
#<alt (/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y)>
#<alt x>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y)))>
#<alt (+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3)))))>
#<alt x>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))>
#<alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))))>
#<alt (+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))>
#<alt (+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))>
#<alt (+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)>
#<alt (/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)>
#<alt (/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)>
#<alt (/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y)>
#<alt (/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))>
#<alt (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))>
#<alt (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))>
#<alt (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)>
#<alt (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))>
#<alt (* y (+ (log y) (log (/ 1 z))))>
#<alt (* y (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))))>
#<alt (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z))))))>
#<alt (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z))))))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))>
#<alt (+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))>
#<alt (+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))>
#<alt (+ (* -1 z) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y))) y)))>
#<alt (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y))) y)) (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y)))>
#<alt (* -1 z)>
#<alt (* z (- (* 1/2 (/ z y)) 1))>
#<alt (* z (- (* z (+ (* -1/3 (/ z (pow y 2))) (* 1/2 (/ 1 y)))) 1))>
#<alt (* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 3))) (* 1/3 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))) 1))>
#<alt (* y (+ (log y) (log (/ 1 z))))>
#<alt (+ (* -1 (/ (pow y 2) z)) (* y (+ (log y) (log (/ 1 z)))))>
#<alt (+ (* -1 (/ (pow y 2) z)) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z))))))>
#<alt (+ (* -1 (/ (pow y 2) z)) (+ (* 1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))) (pow z 3))) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z)))))))>
#<alt (* y (+ (log (* -1 y)) (log (/ -1 z))))>
#<alt (+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) z)) (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))>
#<alt (+ (log y) (log (/ 1 z)))>
#<alt (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))>
#<alt (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z)))))>
#<alt (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)))))>
#<alt (* -1 (/ z y))>
#<alt (/ (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y)>
#<alt (/ (+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))) y)>
#<alt (/ (+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))) y)>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ (+ z (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y))>
#<alt (* -1 (/ (+ z (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y))>
#<alt (* -1 (/ (+ z (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (* 1/2 (/ z (pow y 2))) (/ 1 y)))>
#<alt (* z (- (* z (+ (* -1/3 (/ z (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))>
#<alt (* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 4))) (* 1/3 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))>
#<alt (+ (log y) (log (/ 1 z)))>
#<alt (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))>
#<alt (+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2))))))>
#<alt (+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow z 3))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2)))))))>
#<alt (+ (log (* -1 y)) (log (/ -1 z)))>
#<alt (+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ y z))))>
#<alt (+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) z))) z))))>
#<alt (+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) z)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) z))) z))))>
#<alt (/ y z)>
#<alt (* y (+ (* -1 (/ y (pow z 2))) (/ 1 z)))>
#<alt (* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z)))>
#<alt (* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y))>
#<alt (- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) (* -1 z)) y)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)) (* -1 z)) y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ z y)))>
#<alt (+ 1 (* z (- (/ z (pow y 2)) (/ 1 y))))>
#<alt (+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))>
#<alt (/ y z)>
#<alt (/ (+ y (* -1 (/ (pow y 2) z))) z)>
#<alt (/ (- (+ y (/ (pow y 3) (pow z 2))) (/ (pow y 2) z)) z)>
#<alt (/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z)>
#<alt (/ y z)>
#<alt (* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z))>

Calls

39 calls:

Time	Variable		Point	Expression
10.0ms	x	@	0	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
2.0ms	y	@	inf	(exp (* y (log (/ y (+ z y)))))
2.0ms	y	@	inf	(/ (exp (* y (log (/ y (+ z y))))) y)
2.0ms	y	@	-inf	(exp (* y (log (/ y (+ z y)))))
2.0ms	z	@	inf	(exp (* y (log (/ y (+ z y)))))

rewrite289.0ms (2.5%)

Memory

1.8MiB live, 402.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 390×	`lower-*.f32`
3 388×	`lower-*.f64`
3 144×	`lower-fma.f64`
3 144×	`lower-fma.f32`
2 802×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	52
0	17	52
1	64	46
2	458	46
3	6457	46
0	8028	46

Stop Event

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

Counts

6 → 332

Calls

Call 1

Inputs
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
(log.f64 (/.f64 y (+.f64 z y)))
(/.f64 y (+.f64 z y))

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

simplify456.0ms (4%)

Memory

1.2MiB live, 482.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 370×	`lower-fma.f64`
9 370×	`lower-fma.f32`
5 308×	`lower-*.f64`
5 308×	`lower-*.f32`
3 480×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	603	4108
1	1814	3482
2	6086	3379
0	8218	3225

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 152

Calls

Call 1

Inputs
1
(+ 1 (* y (+ (log y) (log (/ 1 z)))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))
(exp (* -1 z))
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))))
(exp (* -1 z))
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))
(exp (* y (+ (log y) (log (/ 1 z)))))
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)))
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))
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Outputs
1
#s(literal 1 binary64)
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(fma.f64 y (-.f64 (log.f64 y) (log.f64 z)) #s(literal 1 binary64))
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(+ (* -1 (/ (pow y 2) z)) (+ (* 1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))) (pow z 3))) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z)))))))
(fma.f64 y (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 #s(literal -2 binary64) (.f64 y (.f64 y y)))) (.f64 z (.f64 z z))) (fma.f64 y (-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (.f64 y y))) (.f64 z z))))
(* y (+ (log (* -1 y)) (log (/ -1 z))))
(*.f64 y (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 z)))))
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(fma.f64 y (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 z)))) (*.f64 y (/.f64 y (neg.f64 z))))
(+ (* -1 (/ (+ (* -1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(fma.f64 y (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 z)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y (.f64 y y)) z) (*.f64 y y)) (neg.f64 z)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) z)) (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(-.f64 (.f64 y (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 z))))) (/.f64 (-.f64 (.f64 y y) (/.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y) (/.f64 (.f64 #s(literal 2 binary64) (.f64 y (.f64 y y))) z) (.f64 #s(literal 1/2 binary64) (.f64 y (*.f64 y y)))) z)) z))
(+ (log y) (log (/ 1 z)))
(-.f64 (log.f64 y) (log.f64 z))
(+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))
(-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z))
(+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z)))))
(fma.f64 y (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) z)) (-.f64 (log.f64 y) (log.f64 z)))
(+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/3 binary64) (/.f64 y (.f64 z (.f64 z z))) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) (/.f64 #s(literal -1 binary64) z)) (-.f64 (log.f64 y) (log.f64 z)))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(/ (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y) (neg.f64 z)) y)
(/ (+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))) y)
(/.f64 (fma.f64 (.f64 z z) (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (.f64 z (.f64 (.f64 z z) #s(literal -2 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) (neg.f64 z))) y)
(/ (+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))) y)
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z z) y) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 z (.f64 (.f64 z z) #s(literal -2 binary64))) (.f64 y y)) (/.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 30 binary64)) (neg.f64 (.f64 (.f64 z z) (.f64 z z)))) (.f64 y (.f64 y y))))) z) y)
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (/ (+ z (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y))
(/.f64 (fma.f64 (*.f64 z z) (/.f64 #s(literal -1/2 binary64) y) z) (neg.f64 y))
(* -1 (/ (+ z (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y))
(/.f64 (-.f64 z (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 z (.f64 #s(literal 2 binary64) (.f64 z z))) y) (.f64 #s(literal 1/2 binary64) (*.f64 z z))) y)) (neg.f64 y))
(* -1 (/ (+ z (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y))
(/.f64 (-.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 z z) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z (.f64 #s(literal 2 binary64) (.f64 z z))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 30 binary64)) #s(literal -1/24 binary64) (.f64 (.f64 z z) (*.f64 z z))) y)) (neg.f64 y))) y)) (neg.f64 y))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* z (- (* 1/2 (/ z (pow y 2))) (/ 1 y)))
(.f64 z (fma.f64 z (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 #s(literal -1 binary64) y)))
(* z (- (* z (+ (* -1/3 (/ z (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))
(.f64 z (fma.f64 z (fma.f64 #s(literal -1/3 binary64) (/.f64 z (.f64 y (.f64 y y))) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (/.f64 #s(literal -1 binary64) y)))
(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 4))) (* 1/3 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))
(.f64 z (fma.f64 z (fma.f64 z (fma.f64 #s(literal 1/4 binary64) (/.f64 z (.f64 (.f64 y (.f64 y y)) y)) (/.f64 #s(literal -1/3 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)))
(+ (log y) (log (/ 1 z)))
(-.f64 (log.f64 y) (log.f64 z))
(+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))
(-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z))
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2))))))
(+.f64 (log.f64 y) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (*.f64 z z)) (+.f64 (/.f64 y z) (log.f64 z))))
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow z 3))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2)))))))
(+.f64 (-.f64 (log.f64 y) (log.f64 z)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y y) (.f64 z z)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 y (.f64 y y))) (.f64 z (*.f64 z z))) (/.f64 y (neg.f64 z)))))
(+ (log (* -1 y)) (log (/ -1 z)))
(+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 z))))
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ y z))))
(+.f64 (neg.f64 (log.f64 (neg.f64 z))) (-.f64 (log.f64 (neg.f64 y)) (/.f64 y z)))
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) z))) z))))
(+.f64 (log.f64 (neg.f64 y)) (-.f64 (neg.f64 (log.f64 (neg.f64 z))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) z) y) z)))
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) z)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) z))) z))))
(-.f64 (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (neg.f64 z)))) (/.f64 (-.f64 y (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 y (.f64 y y))) z) (.f64 #s(literal 1/2 binary64) (*.f64 y y))) z)) z))
(/ y z)
(/.f64 y z)
(* y (+ (* -1 (/ y (pow z 2))) (/ 1 z)))
(-.f64 (/.f64 y z) (.f64 (/.f64 y (.f64 z z)) y))
(* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z)))
(fma.f64 y (-.f64 (.f64 y (/.f64 y (.f64 z (.f64 z z)))) (/.f64 y (.f64 z z))) (/.f64 y z))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))
(fma.f64 (.f64 y y) (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (/.f64 y (.f64 (.f64 z z) (.f64 z z)))) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 y z))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 z y) (neg.f64 z)) y))
(- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 z (/.f64 (.f64 z (neg.f64 z)) y) (.f64 z z)) y) z) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) (* -1 z)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 z y) (neg.f64 z)) y))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)) (* -1 z)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 z (/.f64 (.f64 z (neg.f64 z)) y) (.f64 z z)) y) z) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(+ 1 (* z (- (/ z (pow y 2)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 z y) (neg.f64 z)) y))
(+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(fma.f64 z (fma.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 z (.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(/ y z)
(/.f64 y z)
(/ (+ y (* -1 (/ (pow y 2) z))) z)
(/.f64 (-.f64 y (/.f64 (*.f64 y y) z)) z)
(/ (- (+ y (/ (pow y 3) (pow z 2))) (/ (pow y 2) z)) z)
(/.f64 (+.f64 y (/.f64 (fma.f64 y (neg.f64 y) (/.f64 (.f64 y (.f64 y y)) z)) z)) z)
(/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z)
(/.f64 (+.f64 (-.f64 y (/.f64 (.f64 (.f64 y (.f64 y y)) y) (.f64 z (.f64 z z)))) (/.f64 (fma.f64 y (neg.f64 y) (/.f64 (.f64 y (*.f64 y y)) z)) z)) z)
(/ y z)
(/.f64 y z)
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z))
(/.f64 (-.f64 (/.f64 (*.f64 y y) z) y) (neg.f64 z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z))
(/.f64 (+.f64 y (/.f64 (fma.f64 y (neg.f64 y) (/.f64 (.f64 y (.f64 y y)) z)) z)) z)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z))
(neg.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) y) z) (.f64 y (.f64 y y))) z) (.f64 y y)) z) y) z))

eval68.0ms (0.6%)

Memory: -11.8MiB live, 143.0MiB allocated
Compiler: Compiled 13 507 to 2 246 computations (83.4% saved)

prune109.0ms (1%)

Memory

8.8MiB live, 170.6MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	474	10	484
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	475	10	485

Accuracy

100.0%

Counts

485 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.4%	(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
	78.7%	(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x)
	39.2%	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
▶	41.2%	(/.f64 #s(literal 1 binary64) y)
▶	67.3%	(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
▶	86.7%	(+.f64 (/.f64 #s(literal 1 binary64) y) x)
	52.6%	(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z (neg.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
	60.0%	(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
	67.3%	(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
▶	85.6%	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))

Compiler

Compiled 298 to 192 computations (35.6% saved)

simplify384.0ms (3.4%)

Memory

-33.9MiB live, 427.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(exp.f64 (neg.f64 z))
✓	cost-diff	0	(/.f64 (exp.f64 (neg.f64 z)) y)
✓	cost-diff	0	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	320	(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))
✓	cost-diff	320	(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
✓	cost-diff	384	(fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y))
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(-.f64 x (/.f64 z y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	704	(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) y) x)

Rules

11 642×	`lower-fma.f32`
11 638×	`lower-fma.f64`
2 402×	`lower-*.f32`
2 400×	`lower-*.f64`
1 542×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	132
0	40	132
1	72	132
2	157	132
3	281	130
4	563	130
5	1315	129
6	3124	129
7	5281	124
8	6889	124
9	7633	124
10	7981	124
0	8001	122

Stop Event

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

Calls

Call 1

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

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

localize79.0ms (0.7%)

Memory

6.3MiB live, 121.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(exp.f64 (neg.f64 z))
✓	accuracy	100.0%	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
✓	accuracy	100.0%	(/.f64 (exp.f64 (neg.f64 z)) y)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))
✓	accuracy	99.3%	(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
✓	accuracy	98.8%	(fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
✓	accuracy	93.2%	(fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y))
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(-.f64 x (/.f64 z y))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) y) x)

Samples

46.0ms

256×

valid

Compiler

Compiled 137 to 26 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 11.0ms (42.1% of total)

ival-add: 6.0ms (23% of total)

ival-mult: 4.0ms (15.3% of total)

ival-exp: 2.0ms (7.7% of total)

ival-sub: 1.0ms (3.8% of total)

ival-neg: 1.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory

4.6MiB live, 42.2MiB allocated

Counts

14 → 312

Calls

Call 1

Inputs
#<alt (+.f64 (/.f64 #s(literal 1 binary64) y) x)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))>
#<alt (-.f64 x (/.f64 z y))>
#<alt (/.f64 z y)>
#<alt (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y))>
#<alt (fma.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))>
#<alt (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))>
#<alt (/.f64 (exp.f64 (neg.f64 z)) y)>
#<alt (exp.f64 (neg.f64 z))>
#<alt (neg.f64 z)>
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 y y))>

Outputs
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (/ 1 y)>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- (+ 1 (* x y)) z) y)>
#<alt (/ (- (+ 1 (* x y)) z) y)>
#<alt (/ (- (+ 1 (* x y)) z) y)>
#<alt x>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt x>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (- (/ 1 y) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt (- (+ x (/ 1 y)) (/ z y))>
#<alt x>
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))>
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))>
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))>
#<alt (* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))>
#<alt (* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))>
#<alt (* -1 (/ z y))>
#<alt (- x (/ z y))>
#<alt (- x (/ z y))>
#<alt (- x (/ z y))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z (* x y)))))>
#<alt (* x (+ 1 (* -1 (/ z (* x y)))))>
#<alt (* x (+ 1 (* -1 (/ z (* x y)))))>
#<alt x>
#<alt (* -1 (* x (- (/ z (* x y)) 1)))>
#<alt (* -1 (* x (- (/ z (* x y)) 1)))>
#<alt (* -1 (* x (- (/ z (* x y)) 1)))>
#<alt x>
#<alt (+ x (* -1 (/ z y)))>
#<alt (+ x (* -1 (/ z y)))>
#<alt (+ x (* -1 (/ z y)))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (/ x z) (/ 1 y)))>
#<alt (* z (- (/ x z) (/ 1 y)))>
#<alt (* z (- (/ x z) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ 1 y))))>
#<alt (* -1 (/ z y))>
#<alt (/ (- (* x y) z) y)>
#<alt (/ (- (* x y) z) y)>
#<alt (/ (- (* x y) z) y)>
#<alt x>
#<alt (+ x (* -1 (/ z y)))>
#<alt (+ x (* -1 (/ z y)))>
#<alt (+ x (* -1 (/ z y)))>
#<alt x>
#<alt (+ x (* -1 (/ z y)))>
#<alt (+ x (* -1 (/ z y)))>
#<alt (+ x (* -1 (/ z y)))>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ -1 y)>
#<alt (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))>
#<alt (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))>
#<alt (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))>
#<alt (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))>
#<alt (* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))>
#<alt (* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))>
#<alt (* 1/2 (/ z (pow y 2)))>
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))>
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))>
#<alt (/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))>
#<alt (/ (- (* 1/2 z) 1) y)>
#<alt (/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)>
#<alt (/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)>
#<alt (/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)>
#<alt (* -1 (/ (+ 1 (* -1/2 z)) y))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))>
#<alt (* 1/2 (/ (pow z 2) (pow y 2)))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))))) (pow y 2))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))))) (pow y 2))>
#<alt x>
#<alt (+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))>
#<alt (+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y))))>
#<alt (+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y))))>
#<alt x>
#<alt (+ x (* -1 (/ (- (* z (+ 1 (* -1/2 z))) 1) y)))>
#<alt (+ x (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)))>
#<alt (+ x (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)))>
#<alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt x>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))>
#<alt (* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ (+ 1/2 (* 1/2 y)) (pow y 2))>
#<alt (/ (+ 1/2 (* 1/2 y)) (pow y 2))>
#<alt (/ (+ 1/2 (* 1/2 y)) (pow y 2))>
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* 1/2 (/ 1 y))) y)>
#<alt (/ (+ 1/2 (* 1/2 (/ 1 y))) y)>
#<alt (/ (+ 1/2 (* 1/2 (/ 1 y))) y)>
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* 1/2 (/ 1 y))) y)>
#<alt (/ (+ 1/2 (* 1/2 (/ 1 y))) y)>
#<alt (/ (+ 1/2 (* 1/2 (/ 1 y))) y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ (exp (neg z)) y)>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt x>
#<alt (* x (+ 1 (/ (exp (neg z)) (* x y))))>
#<alt (* x (+ 1 (/ (exp (neg z)) (* x y))))>
#<alt (* x (+ 1 (/ (exp (neg z)) (* x y))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (+ (exp (neg z)) (* x y)) y)>
#<alt (/ (+ (exp (neg z)) (* x y)) y)>
#<alt (/ (+ (exp (neg z)) (* x y)) y)>
#<alt x>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt x>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (+ x (/ (exp (neg z)) y))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (exp (* -1 z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt (/ (exp (neg z)) y)>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* 1/2 z) 1)))>
#<alt (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))>
#<alt (exp (neg z))>
#<alt (exp (neg z))>
#<alt (exp (neg z))>
#<alt (exp (neg z))>
#<alt (exp (* -1 z))>
#<alt (exp (* -1 z))>
#<alt (exp (* -1 z))>
#<alt (exp (* -1 z))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ 1/2 (pow y 2))>

Calls

78 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))
2.0ms	y	@	0	(+ (/ 1/2 y) (/ 1/2 (* y y)))
1.0ms	z	@	0	(+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))
1.0ms	z	@	inf	(+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))
1.0ms	x	@	0	(+ (* z (+ (* z (+ (/ 1/2 y) (/ 1/2 (* y y)))) (/ -1 y))) (+ (/ 1 y) x))

rewrite564.0ms (5%)

Memory

26.1MiB live, 652.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 176×	`lower-fma.f32`
6 172×	`lower-fma.f64`
4 126×	`lower-/.f32`
4 114×	`lower-/.f64`
3 680×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	94
0	40	94
1	191	94
2	2072	92
0	8585	89

Stop Event

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

Counts

14 → 510

Calls

Call 1

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

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

simplify499.0ms (4.4%)

Memory

-13.5MiB live, 588.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16 926×	`lower-fma.f64`
16 926×	`lower-fma.f32`
3 748×	`lower-*.f64`
3 748×	`lower-*.f32`
2 426×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	2306
1	554	2304
2	1559	2178
3	4759	2044
0	8115	1944

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 291

Calls

Call 1

Inputs
(/ 1 y)
(/ (+ 1 (* x y)) y)
(/ (+ 1 (* x y)) y)
(/ (+ 1 (* x y)) y)
x
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
x
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
(/ 1 y)
(+ x (/ 1 y))
(+ x (/ 1 y))
(+ x (/ 1 y))
x
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
x
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(* x (+ 1 (/ 1 (* x y))))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ (- 1 z) y)
(/ (- (+ 1 (* x y)) z) y)
(/ (- (+ 1 (* x y)) z) y)
(/ (- (+ 1 (* x y)) z) y)
x
(- (+ x (/ 1 y)) (/ z y))
(- (+ x (/ 1 y)) (/ z y))
(- (+ x (/ 1 y)) (/ z y))
x
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(- (/ 1 y) (/ z y))
(- (+ x (/ 1 y)) (/ z y))
(- (+ x (/ 1 y)) (/ z y))
(- (+ x (/ 1 y)) (/ z y))
x
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))
(* x (- (+ 1 (/ 1 (* x y))) (/ z (* x y))))
x
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (/ 1 y) (/ z y)) x)) 1)))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(* -1 (/ z y))
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))
(* z (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)))
(* -1 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y))))
(* -1 (/ z y))
(- x (/ z y))
(- x (/ z y))
(- x (/ z y))
x
(* x (+ 1 (* -1 (/ z (* x y)))))
(* x (+ 1 (* -1 (/ z (* x y)))))
(* x (+ 1 (* -1 (/ z (* x y)))))
x
(* -1 (* x (- (/ z (* x y)) 1)))
(* -1 (* x (- (/ z (* x y)) 1)))
(* -1 (* x (- (/ z (* x y)) 1)))
x
(+ x (* -1 (/ z y)))
(+ x (* -1 (/ z y)))
(+ x (* -1 (/ z y)))
(* -1 (/ z y))
(* z (- (/ x z) (/ 1 y)))
(* z (- (/ x z) (/ 1 y)))
(* z (- (/ x z) (/ 1 y)))
(* -1 (/ z y))
(* -1 (* z (+ (* -1 (/ x z)) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (/ 1 y))))
(* -1 (/ z y))
(/ (- (* x y) z) y)
(/ (- (* x y) z) y)
(/ (- (* x y) z) y)
x
(+ x (* -1 (/ z y)))
(+ x (* -1 (/ z y)))
(+ x (* -1 (/ z y)))
x
(+ x (* -1 (/ z y)))
(+ x (* -1 (/ z y)))
(+ x (* -1 (/ z y)))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ -1 y)
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))
(* -1 (* z (+ (* -1 (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 (* y z)))))
(* 1/2 (/ z (pow y 2)))
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))
(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) (pow y 2))
(/ (- (* 1/2 z) 1) y)
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)
(/ (- (+ (* 1/2 z) (* 1/2 (/ z y))) 1) y)
(* -1 (/ (+ 1 (* -1/2 z)) y))
(* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y))
(* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y))
(* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))
(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (* z (- (* 1/2 z) 1))))) (pow y 2))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))))) (pow y 2))
(/ (+ (* 1/2 (pow z 2)) (* y (+ 1 (+ (* x y) (* z (- (* 1/2 z) 1)))))) (pow y 2))
x
(+ x (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y)))
(+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y))))
(+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (+ (/ 1 y) (/ (* z (- (* 1/2 z) 1)) y))))
x
(+ x (* -1 (/ (- (* z (+ 1 (* -1/2 z))) 1) y)))
(+ x (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)))
(+ x (* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
x
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))
(* x (+ 1 (+ (/ 1 (* x y)) (/ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) x))))
x
(* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) x)) 1)))
(/ 1/2 (pow y 2))
(/ (+ 1/2 (* 1/2 y)) (pow y 2))
(/ (+ 1/2 (* 1/2 y)) (pow y 2))
(/ (+ 1/2 (* 1/2 y)) (pow y 2))
(/ 1/2 y)
(/ (+ 1/2 (* 1/2 (/ 1 y))) y)
(/ (+ 1/2 (* 1/2 (/ 1 y))) y)
(/ (+ 1/2 (* 1/2 (/ 1 y))) y)
(/ 1/2 y)
(/ (+ 1/2 (* 1/2 (/ 1 y))) y)
(/ (+ 1/2 (* 1/2 (/ 1 y))) y)
(/ (+ 1/2 (* 1/2 (/ 1 y))) y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ (exp (neg z)) y)
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
x
(* x (+ 1 (/ (exp (neg z)) (* x y))))
(* x (+ 1 (/ (exp (neg z)) (* x y))))
(* x (+ 1 (/ (exp (neg z)) (* x y))))
x
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (exp (neg z)) (* x y))) 1)))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y)))
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (* -1 z)) y))
(+ x (/ (exp (* -1 z)) y))
(+ x (/ (exp (* -1 z)) y))
(+ x (/ (exp (* -1 z)) y))
(/ (exp (neg z)) y)
(/ (+ (exp (neg z)) (* x y)) y)
(/ (+ (exp (neg z)) (* x y)) y)
(/ (+ (exp (neg z)) (* x y)) y)
x
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
x
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
(+ x (/ (exp (neg z)) y))
(/ 1 y)
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))
(+ (* z (- (* z (+ (* -1/6 (/ z y)) (* 1/2 (/ 1 y)))) (/ 1 y))) (/ 1 y))
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (* -1 z)) y)
(/ (exp (* -1 z)) y)
(/ (exp (* -1 z)) y)
(/ (exp (* -1 z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
(/ (exp (neg z)) y)
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* 1/2 z) 1)))
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))
(exp (neg z))
(exp (neg z))
(exp (neg z))
(exp (neg z))
(exp (* -1 z))
(exp (* -1 z))
(exp (* -1 z))
(exp (* -1 z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))
(/ 1/2 (pow y 2))

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

eval127.0ms (1.1%)

Memory: 33.8MiB live, 297.3MiB allocated
Compiler: Compiled 21 933 to 1 917 computations (91.3% saved)

prune184.0ms (1.6%)

Memory

-37.5MiB live, 253.1MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	910	16	926
Fresh	3	2	5
Picked	2	3	5
Done	0	0	0
Total	915	21	936

Accuracy

100.0%

Counts

936 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.8%	(fma.f64 x (fma.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 z x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
▶	78.7%	(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x)
	75.6%	(/.f64 (fma.f64 y x (exp.f64 (neg.f64 z))) y)
	77.1%	(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
	28.3%	(/.f64 (fma.f64 x (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 y y))))
	39.2%	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
▶	43.6%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
	30.7%	(/.f64 (-.f64 #s(literal 1 binary64) z) y)
	2.7%	(/.f64 (.f64 z (.f64 z #s(literal 1/2 binary64))) (*.f64 y y))
	40.7%	(/.f64 (exp.f64 (neg.f64 z)) y)
✓	41.2%	(/.f64 #s(literal 1 binary64) y)
	67.3%	(-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y))
	54.6%	(+.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)
✓	86.7%	(+.f64 (/.f64 #s(literal 1 binary64) y) x)
	64.3%	(+.f64 x (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
	64.9%	(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
▶	65.3%	(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
✓	85.6%	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
	43.5%	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) x)))
▶	20.1%	(.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z z))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 x (*.f64 z z)))) (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)))
▶	3.5%	(neg.f64 (/.f64 z y))

Compiler

Compiled 576 to 362 computations (37.2% saved)

simplify523.0ms (4.6%)

Memory

43.3MiB live, 861.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 z z)))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z z))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 x (.f64 z z))))
✓	cost-diff	960	(fma.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z z))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 x (.f64 z z)))) (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y))
✓	cost-diff	1344	(.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z z))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 x (*.f64 z z)))) (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y y))
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x))
✓	cost-diff	128	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
✓	cost-diff	0	(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
✓	cost-diff	0	(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(neg.f64 (/.f64 z y))
✓	cost-diff	0	(/.f64 y (+.f64 y z))
✓	cost-diff	0	(pow.f64 (/.f64 y (+.f64 y z)) y)
✓	cost-diff	0	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x))
✓	cost-diff	512	(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x)

Rules

19 406×	`lower-fma.f32`
19 398×	`lower-fma.f64`
4 060×	`lower-*.f32`
4 048×	`lower-*.f64`
2 446×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	268
0	68	268
1	132	268
2	254	267
3	534	261
4	1276	254
5	2853	252
6	7121	252
0	8363	248

Stop Event

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

Calls

Call 1

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

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

localize283.0ms (2.5%)

Memory

-23.6MiB live, 424.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	86.7%	(.f64 y (.f64 z z))
✓	accuracy	86.2%	(/.f64 x (*.f64 z z))
✓	accuracy	80.3%	(.f64 z (fma.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z z))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 x (*.f64 z z)))) (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)))
✓	accuracy	79.7%	(fma.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 z z))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 x (.f64 z z)))) (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y))
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 y y))
✓	accuracy	92.5%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x))
✓	accuracy	50.7%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
✓	accuracy	100.0%	(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
✓	accuracy	92.9%	(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(neg.f64 (/.f64 z y))
✓	accuracy	100.0%	(/.f64 y (+.f64 y z))
✓	accuracy	98.7%	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x))
✓	accuracy	91.9%	(fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x)
✓	accuracy	75.9%	(pow.f64 (/.f64 y (+.f64 y z)) y)

Samples

161.0ms	106×	1	valid
67.0ms	150×	0	valid

Compiler

Compiled 284 to 41 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-pow: 85.0ms (42.8% of total)

ival-mult: 53.0ms (26.7% of total)

ival-div: 35.0ms (17.6% of total)

ival-add: 13.0ms (6.5% of total)

adjust: 8.0ms (4% of total)

ival-sub: 3.0ms (1.5% of total)

ival-neg: 2.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series84.0ms (0.7%)

Memory

10.7MiB live, 167.0MiB allocated

Counts

21 → 528

Calls

Call 1

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

Outputs
#<alt (/ (pow (/ y (+ y z)) y) y)>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt (+ x (/ (pow (/ y (+ y z)) y) y))>
#<alt x>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)>
#<alt (/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)>
#<alt (/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y)>
#<alt x>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y)))>
#<alt (+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3)))))>
#<alt x>
#<alt (+ x (/ (exp (* -1 z)) y))>
#<alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))>
#<alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))))>
#<alt (+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))>
#<alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))>
#<alt (+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))>
#<alt (+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (* y (+ (/ (log y) x) (/ (log (/ 1 z)) x))) (/ 1 x)) y)>
#<alt (/ (+ (* y (+ (* y (- (* 1/2 (/ (pow (+ (log y) (log (/ 1 z))) 2) x)) (/ 1 (* x z)))) (+ (/ (log y) x) (/ (log (/ 1 z)) x)))) (/ 1 x)) y)>
#<alt (/ (+ (* y (+ (* y (- (+ (* 1/2 (/ (pow (+ (log y) (log (/ 1 z))) 2) x)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) (* x z))) (+ (* 1/6 (/ (pow (+ (log y) (log (/ 1 z))) 3) x)) (* 1/2 (/ 1 (* x (pow z 2)))))))) (/ 1 (* x z)))) (+ (/ (log y) x) (/ (log (/ 1 z)) x)))) (/ 1 x)) y)>
#<alt (/ (exp (* -1 z)) (* x y))>
#<alt (/ (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* x y))) (/ (exp (* -1 z)) x)) y)>
#<alt (/ (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* x y))) (+ (/ (exp (* -1 z)) x) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (* x (pow y 2))))) y)>
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#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (+ x (/ 1 y))>
#<alt (+ x (+ (* -1 (/ z y)) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))>
#<alt (* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))>
#<alt (* 1/2 (/ (pow z 2) (pow y 2)))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (* z (- (+ (* 1/2 z) (/ 1 z)) 1)))) (pow y 2))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (+ (* x y) (* z (- (+ (* 1/2 z) (/ 1 z)) 1))))) (pow y 2))>
#<alt (/ (+ (* 1/2 (pow z 2)) (* y (+ (* x y) (* z (- (+ (* 1/2 z) (/ 1 z)) 1))))) (pow y 2))>
#<alt x>
#<alt (+ x (/ (* z (- (+ (* 1/2 z) (/ 1 z)) 1)) y))>
#<alt (+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (/ (* z (- (+ (* 1/2 z) (/ 1 z)) 1)) y)))>
#<alt (+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (/ (* z (- (+ (* 1/2 z) (/ 1 z)) 1)) y)))>
#<alt x>
#<alt (+ x (* -1 (/ (* z (- (* -1 (- (* 1/2 z) 1)) (/ 1 z))) y)))>
#<alt (+ x (* -1 (/ (+ (* -1/2 (/ (pow z 2) y)) (* z (- (* -1 (- (* 1/2 z) 1)) (/ 1 z)))) y)))>
#<alt (+ x (* -1 (/ (+ (* -1/2 (/ (pow z 2) y)) (* z (- (* -1 (- (* 1/2 z) 1)) (/ 1 z)))) y)))>
#<alt (* z (- (+ (* 1/2 (/ z y)) (* z (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y)))>
#<alt (+ x (* z (- (+ (* 1/2 (/ z y)) (* z (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))))>
#<alt (+ x (* z (- (+ (* 1/2 (/ z y)) (* z (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))))>
#<alt (+ x (* z (- (+ (* 1/2 (/ z y)) (* z (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))))>
#<alt x>
#<alt (* x (+ 1 (/ (* z (- (+ (* 1/2 (/ z y)) (* z (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) x)))>
#<alt (* x (+ 1 (/ (* z (- (+ (* 1/2 (/ z y)) (* z (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) x)))>
#<alt (* x (+ 1 (/ (* z (- (+ (* 1/2 (/ z y)) (* z (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (+ (* 1/2 (/ z y)) (* z (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (+ (* 1/2 (/ z y)) (* z (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (+ (* 1/2 (/ z y)) (* z (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) x)) 1)))>
#<alt (/ (+ x (/ 1 y)) z)>
#<alt (/ (+ x (+ (* -1 (/ z y)) (/ 1 y))) z)>
#<alt (/ (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) z)>
#<alt (/ (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) z)>
#<alt (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* z (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))) (/ 1 (* y z))))>
#<alt (* z (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))>
#<alt (* z (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))>
#<alt (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* -1 (* z (- (/ 1 (* y z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))))>
#<alt (* -1 (* z (- (* -1 (/ (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))))>
#<alt (* -1 (* z (- (* -1 (/ (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))))>
#<alt (* 1/2 (/ z (pow y 2)))>
#<alt (/ (+ (* 1/2 z) (* y (- (+ (* 1/2 z) (/ 1 z)) 1))) (pow y 2))>
#<alt (/ (+ (* 1/2 z) (* y (- (+ (* 1/2 z) (+ (/ 1 z) (/ (* x y) z))) 1))) (pow y 2))>
#<alt (/ (+ (* 1/2 z) (* y (- (+ (* 1/2 z) (+ (/ 1 z) (/ (* x y) z))) 1))) (pow y 2))>
#<alt (/ x z)>
#<alt (- (+ (* 1/2 (/ z y)) (+ (/ 1 (* y z)) (/ x z))) (/ 1 y))>
#<alt (- (+ (* 1/2 (/ z y)) (+ (* 1/2 (/ z (pow y 2))) (+ (/ 1 (* y z)) (/ x z)))) (/ 1 y))>
#<alt (- (+ (* 1/2 (/ z y)) (+ (* 1/2 (/ z (pow y 2))) (+ (/ 1 (* y z)) (/ x z)))) (/ 1 y))>
#<alt (/ x z)>
#<alt (+ (* -1 (/ (- (* -1 (- (* 1/2 z) 1)) (/ 1 z)) y)) (/ x z))>
#<alt (+ (* -1 (/ (- (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))) (/ 1 z)) y)) (/ x z))>
#<alt (+ (* -1 (/ (- (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y))) (/ 1 z)) y)) (/ x z))>
#<alt (- (+ (* 1/2 (/ z y)) (* z (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))>
#<alt (- (+ (* 1/2 (/ z y)) (+ (* z (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2))))) (/ x z))) (/ 1 y))>
#<alt (- (+ (* 1/2 (/ z y)) (+ (* z (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2))))) (/ x z))) (/ 1 y))>
#<alt (- (+ (* 1/2 (/ z y)) (+ (* z (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2))))) (/ x z))) (/ 1 y))>
#<alt (/ x z)>
#<alt (* x (- (+ (* 1/2 (/ z (* x y))) (+ (/ 1 z) (/ (* z (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2))))) x))) (/ 1 (* x y))))>
#<alt (* x (- (+ (* 1/2 (/ z (* x y))) (+ (/ 1 z) (/ (* z (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2))))) x))) (/ 1 (* x y))))>
#<alt (* x (- (+ (* 1/2 (/ z (* x y))) (+ (/ 1 z) (/ (* z (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2))))) x))) (/ 1 (* x y))))>
#<alt (/ x z)>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ z y)) (* z (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y)) x)) (/ 1 z))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ z y)) (* z (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y)) x)) (/ 1 z))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ z y)) (* z (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y)) x)) (/ 1 z))))>
#<alt (/ 1/2 (pow y 2))>
#<alt (/ (+ 1/2 (/ y (pow z 2))) (pow y 2))>
#<alt (/ (+ 1/2 (* y (+ (/ 1 (pow z 2)) (/ (* x y) (pow z 2))))) (pow y 2))>
#<alt (/ (+ 1/2 (* y (+ (/ 1 (pow z 2)) (/ (* x y) (pow z 2))))) (pow y 2))>
#<alt (/ x (pow z 2))>
#<alt (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2)))>
#<alt (+ (/ 1/2 (pow y 2)) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))>
#<alt (+ (/ 1/2 (pow y 2)) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))>
#<alt (/ x (pow z 2))>
#<alt (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2)))>
#<alt (+ (/ 1/2 (pow y 2)) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))>
#<alt (+ (/ 1/2 (pow y 2)) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))>
#<alt (/ (+ x (/ 1 y)) (pow z 2))>
#<alt (/ (+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (/ 1 y))) (pow z 2))>
#<alt (/ (+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (/ 1 y))) (pow z 2))>
#<alt (/ (+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (/ 1 y))) (pow z 2))>
#<alt (/ 1/2 (pow y 2))>
#<alt (+ (/ 1 (* y (pow z 2))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow z 2))))>
#<alt (+ (/ 1 (* y (pow z 2))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow z 2))))>
#<alt (+ (/ 1 (* y (pow z 2))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow z 2))))>
#<alt (/ 1/2 (pow y 2))>
#<alt (+ (/ 1 (* y (pow z 2))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow z 2))))>
#<alt (+ (/ 1 (* y (pow z 2))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow z 2))))>
#<alt (+ (/ 1 (* y (pow z 2))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow z 2))))>
#<alt (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2))))>
#<alt (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))>
#<alt (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))>
#<alt (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))>
#<alt (/ x (pow z 2))>
#<alt (* x (+ (/ 1/2 (* x (pow y 2))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (pow z 2)))))>
#<alt (* x (+ (/ 1/2 (* x (pow y 2))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (pow z 2)))))>
#<alt (* x (+ (/ 1/2 (* x (pow y 2))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (pow z 2)))))>
#<alt (/ x (pow z 2))>
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2)))) x)) (/ 1 (pow z 2)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2)))) x)) (/ 1 (pow z 2)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2)))) x)) (/ 1 (pow z 2)))))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* -1 (* x y))) y)>
#<alt (/ (+ 1 (* -1 (* x y))) y)>
#<alt (/ (+ 1 (* -1 (* x y))) y)>
#<alt (* -1 x)>
#<alt (- (/ 1 y) x)>
#<alt (- (/ 1 y) x)>
#<alt (- (/ 1 y) x)>
#<alt (* -1 x)>
#<alt (- (/ 1 y) x)>
#<alt (- (/ 1 y) x)>
#<alt (- (/ 1 y) x)>
#<alt (/ 1 y)>
#<alt (+ (* -1 x) (/ 1 y))>
#<alt (+ (* -1 x) (/ 1 y))>
#<alt (+ (* -1 x) (/ 1 y))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 (* x y)) 1))>
#<alt (* x (- (/ 1 (* x y)) 1))>
#<alt (* x (- (/ 1 (* x y)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 (* x y)))))>
#<alt (* -1 (* x (- 1 (/ 1 (* x y)))))>
#<alt (* -1 (* x (- 1 (/ 1 (* x y)))))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>

Calls

132 calls:

Time	Variable		Point	Expression
34.0ms	x	@	0	(/ (pow (/ y (+ y z)) y) (* y x))
8.0ms	x	@	inf	(/ (pow (/ y (+ y z)) y) (* y x))
3.0ms	z	@	inf	(/ (pow (/ y (+ y z)) y) (* y x))
1.0ms	x	@	0	(* z (+ (* z (+ (/ 1 (* y (* z z))) (+ (/ 1/2 (* y y)) (/ x (* z z))))) (/ (+ (* z 1/2) -1) y)))
1.0ms	y	@	-inf	(/ (pow (/ y (+ y z)) y) (* y x))

rewrite360.0ms (3.2%)

Memory

30.9MiB live, 463.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 478×	`lower-/.f32`
4 456×	`lower-/.f64`
3 612×	`lower-*.f32`
3 600×	`lower-*.f64`
2 780×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	204
0	68	204
1	324	182
2	3322	182
0	8738	176

Stop Event

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

Counts

21 → 701

Calls

Call 1

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

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

simplify439.0ms (3.9%)

Memory

-29.2MiB live, 606.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 822×	`lower-fma.f64`
8 822×	`lower-fma.f32`
5 718×	`lower-*.f64`
5 718×	`lower-*.f32`
4 424×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	774	7695
1	2345	7159
2	7622	7122
0	8100	6825

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 512

Calls

Call 1

Inputs
(/ (pow (/ y (+ y z)) y) y)
(+ x (/ (pow (/ y (+ y z)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
(+ x (/ (pow (/ y (+ y z)) y) y))
x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
(/ 1 y)
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y)
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y)
x
(+ x (/ (exp (* -1 z)) y))
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y)))
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3)))))
x
(+ x (/ (exp (* -1 z)) y))
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))))
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))
(+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)))
(/ 1 (* x y))
(/ (+ (* y (+ (/ (log y) x) (/ (log (/ 1 z)) x))) (/ 1 x)) y)
(/ (+ (* y (+ (* y (- (* 1/2 (/ (pow (+ (log y) (log (/ 1 z))) 2) x)) (/ 1 (* x z)))) (+ (/ (log y) x) (/ (log (/ 1 z)) x)))) (/ 1 x)) y)
(/ (+ (* y (+ (* y (- (+ (* 1/2 (/ (pow (+ (log y) (log (/ 1 z))) 2) x)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) (* x z))) (+ (* 1/6 (/ (pow (+ (log y) (log (/ 1 z))) 3) x)) (* 1/2 (/ 1 (* x (pow z 2)))))))) (/ 1 (* x z)))) (+ (/ (log y) x) (/ (log (/ 1 z)) x)))) (/ 1 x)) y)
(/ (exp (* -1 z)) (* x y))
(/ (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* x y))) (/ (exp (* -1 z)) x)) y)
(/ (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* x y))) (+ (/ (exp (* -1 z)) x) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (* x (pow y 2))))) y)
(/ (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* x y))) (+ (/ (exp (* -1 z)) x) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (* x (pow y 3))) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (* x (pow y 2)))))) y)
(/ (exp (* -1 z)) (* x y))
(* -1 (/ (+ (* -1 (/ (exp (* -1 z)) x)) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* x y)))) y))
(* -1 (/ (+ (* -1 (/ (exp (* -1 z)) x)) (* -1 (/ (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) x)) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) (* x y))) y))) y))
(* -1 (/ (+ (* -1 (/ (exp (* -1 z)) x)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) x)) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (* x y))) y)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) x))) y))) y))
(/ 1 (* x y))
(+ (* -1 (/ z (* x y))) (/ 1 (* x y)))
(+ (* z (- (* z (+ (* 1/2 (/ 1 (* x y))) (* 1/2 (/ 1 (* x (pow y 2)))))) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* x y))) (+ (* 1/2 (/ 1 (* x y))) (* 1/2 (/ 1 (* x (pow y 2))))))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ (exp (* y (+ (log y) (log (/ 1 z))))) (* x y))
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) (* x z))) (/ (exp (* y (+ (log y) (log (/ 1 z))))) (* x y)))
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) (* x z))) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) (* x y)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* x (* y (pow z 2))))))
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) (* x z))) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) (* x y)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* x (* y (pow z 3)))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* x (* y (pow z 2)))))))
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* x y))
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) (* x z))) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* x y)))
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* x (* y z)))) (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) x)) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* x y)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* x (* y z)))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* x y))) z)) (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) x)) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* x y)))
(/ (pow (/ y (+ y z)) y) (* x y))
(/ (pow (/ y (+ y z)) y) (* x y))
(/ (pow (/ y (+ y z)) y) (* x y))
(/ (pow (/ y (+ y z)) y) (* x y))
(/ (pow (/ y (+ y z)) y) (* x y))
(/ (pow (/ y (+ y z)) y) (* x y))
(/ (pow (/ y (+ y z)) y) (* x y))
(/ (pow (/ y (+ y z)) y) (* x y))
(/ (pow (/ y (+ y z)) y) (* x y))
(/ (pow (/ y (+ y z)) y) (* x y))
(/ (pow (/ y (+ y z)) y) (* x y))
(/ (pow (/ y (+ y z)) y) (* x y))
1
(+ 1 (* y (+ (log y) (log (/ 1 z)))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))
(exp (* -1 z))
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))))
(exp (* -1 z))
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))
(exp (* y (+ (log y) (log (/ 1 z)))))
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)))
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))))
(exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)))
(/ y z)
(* y (+ (* -1 (/ y (pow z 2))) (/ 1 z)))
(* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z)))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)))
1
(+ 1 (* -1 (/ z y)))
(- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y))
(- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y)))
1
(+ 1 (* -1 (/ z y)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) (* -1 z)) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)) (* -1 z)) y)))
1
(+ 1 (* -1 (/ z y)))
(+ 1 (* z (- (/ z (pow y 2)) (/ 1 y))))
(+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(/ y z)
(/ (+ y (* -1 (/ (pow y 2) z))) z)
(/ (- (+ y (/ (pow y 3) (pow z 2))) (/ (pow y 2) z)) z)
(/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z)
(/ y z)
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(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (* 1/2 (/ 1 y))))
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(* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))
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(* z (- 1/2 (/ 1 z)))
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(* -1 (* z (- (/ 1 z) 1/2)))
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(/ 1 y)
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x
(+ x (/ 1 y))
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(+ x (/ 1 y))
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(* x (+ 1 (/ 1 (* x y))))
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(* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))
(* (pow z 2) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
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(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (/ 1 y)) z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))))
(* 1/2 (/ (pow z 2) (pow y 2)))
(/ (+ (* 1/2 (pow z 2)) (* y (* z (- (+ (* 1/2 z) (/ 1 z)) 1)))) (pow y 2))
(/ (+ (* 1/2 (pow z 2)) (* y (+ (* x y) (* z (- (+ (* 1/2 z) (/ 1 z)) 1))))) (pow y 2))
(/ (+ (* 1/2 (pow z 2)) (* y (+ (* x y) (* z (- (+ (* 1/2 z) (/ 1 z)) 1))))) (pow y 2))
x
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x
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x
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(* x (+ 1 (/ (* z (- (+ (* 1/2 (/ z y)) (* z (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) x)))
x
(* -1 (* x (- (* -1 (/ (* z (- (+ (* 1/2 (/ z y)) (* z (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) x)) 1)))
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(* -1 (* x (- (* -1 (/ (* z (- (+ (* 1/2 (/ z y)) (* z (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) x)) 1)))
(/ (+ x (/ 1 y)) z)
(/ (+ x (+ (* -1 (/ z y)) (/ 1 y))) z)
(/ (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) z)
(/ (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) z)
(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
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(* z (- (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))) (/ 1 (* y z))))
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(* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))
(* -1 (* z (- (/ 1 (* y z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))))
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(* -1 (* z (- (* -1 (/ (- (+ (/ 1 (* y z)) (/ x z)) (/ 1 y)) z)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))))
(* 1/2 (/ z (pow y 2)))
(/ (+ (* 1/2 z) (* y (- (+ (* 1/2 z) (/ 1 z)) 1))) (pow y 2))
(/ (+ (* 1/2 z) (* y (- (+ (* 1/2 z) (+ (/ 1 z) (/ (* x y) z))) 1))) (pow y 2))
(/ (+ (* 1/2 z) (* y (- (+ (* 1/2 z) (+ (/ 1 z) (/ (* x y) z))) 1))) (pow y 2))
(/ x z)
(- (+ (* 1/2 (/ z y)) (+ (/ 1 (* y z)) (/ x z))) (/ 1 y))
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(* x (- (+ (* 1/2 (/ z (* x y))) (+ (/ 1 z) (/ (* z (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2))))) x))) (/ 1 (* x y))))
(/ x z)
(* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ z y)) (* z (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y)) x)) (/ 1 z))))
(* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ z y)) (* z (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y)) x)) (/ 1 z))))
(* -1 (* x (- (* -1 (/ (- (+ (* 1/2 (/ z y)) (* z (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y)) x)) (/ 1 z))))
(/ 1/2 (pow y 2))
(/ (+ 1/2 (/ y (pow z 2))) (pow y 2))
(/ (+ 1/2 (* y (+ (/ 1 (pow z 2)) (/ (* x y) (pow z 2))))) (pow y 2))
(/ (+ 1/2 (* y (+ (/ 1 (pow z 2)) (/ (* x y) (pow z 2))))) (pow y 2))
(/ x (pow z 2))
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(/ x (pow z 2))
(+ (/ 1 (* y (pow z 2))) (/ x (pow z 2)))
(+ (/ 1/2 (pow y 2)) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))
(+ (/ 1/2 (pow y 2)) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))
(/ (+ x (/ 1 y)) (pow z 2))
(/ (+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (/ 1 y))) (pow z 2))
(/ (+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (/ 1 y))) (pow z 2))
(/ (+ x (+ (* 1/2 (/ (pow z 2) (pow y 2))) (/ 1 y))) (pow z 2))
(/ 1/2 (pow y 2))
(+ (/ 1 (* y (pow z 2))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow z 2))))
(+ (/ 1 (* y (pow z 2))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow z 2))))
(+ (/ 1 (* y (pow z 2))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow z 2))))
(/ 1/2 (pow y 2))
(+ (/ 1 (* y (pow z 2))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow z 2))))
(+ (/ 1 (* y (pow z 2))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow z 2))))
(+ (/ 1 (* y (pow z 2))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow z 2))))
(+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2))))
(+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))
(+ (* 1/2 (/ 1 (pow y 2))) (+ (/ 1 (* y (pow z 2))) (/ x (pow z 2))))
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(/ x (pow z 2))
(* x (+ (/ 1/2 (* x (pow y 2))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (pow z 2)))))
(* x (+ (/ 1/2 (* x (pow y 2))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (pow z 2)))))
(* x (+ (/ 1/2 (* x (pow y 2))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (pow z 2)))))
(/ x (pow z 2))
(* -1 (* x (- (* -1 (/ (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2)))) x)) (/ 1 (pow z 2)))))
(* -1 (* x (- (* -1 (/ (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2)))) x)) (/ 1 (pow z 2)))))
(* -1 (* x (- (* -1 (/ (+ (/ 1 (* y (pow z 2))) (* 1/2 (/ 1 (pow y 2)))) x)) (/ 1 (pow z 2)))))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 y)
(/ (+ 1 (* -1 (* x y))) y)
(/ (+ 1 (* -1 (* x y))) y)
(/ (+ 1 (* -1 (* x y))) y)
(* -1 x)
(- (/ 1 y) x)
(- (/ 1 y) x)
(- (/ 1 y) x)
(* -1 x)
(- (/ 1 y) x)
(- (/ 1 y) x)
(- (/ 1 y) x)
(/ 1 y)
(+ (* -1 x) (/ 1 y))
(+ (* -1 x) (/ 1 y))
(+ (* -1 x) (/ 1 y))
(* -1 x)
(* x (- (/ 1 (* x y)) 1))
(* x (- (/ 1 (* x y)) 1))
(* x (- (/ 1 (* x y)) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 (* x y)))))
(* -1 (* x (- 1 (/ 1 (* x y)))))
(* -1 (* x (- 1 (/ 1 (* x y)))))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))

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

eval488.0ms (4.3%)

Memory: -93.0MiB live, 399.4MiB allocated
Compiler: Compiled 36 686 to 3 349 computations (90.9% saved)

prune177.0ms (1.6%)

Memory

43.4MiB live, 473.7MiB allocated

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	1 256	18	1 274
Fresh	2	11	13
Picked	3	2	5
Done	0	3	3
Total	1 261	34	1 295

Accuracy

100.0%

Counts

1 295 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.3%	(fma.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) x)
	59.8%	(fma.f64 x (fma.f64 (/.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) y) (/.f64 z x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
	50.1%	(fma.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 y x)) x)
	55.4%	(fma.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y x)) x)
	51.0%	(fma.f64 x (/.f64 (pow.f64 (/.f64 y z) y) (*.f64 y x)) x)
	78.5%	(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) x)
▶	34.9%	(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
	75.6%	(/.f64 (fma.f64 y x (exp.f64 (neg.f64 z))) y)
	77.1%	(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
	28.3%	(/.f64 (fma.f64 x (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (fma.f64 x (-.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 y y))))
	39.2%	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
	27.7%	(/.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 x (neg.f64 x)) #s(literal 1 binary64)) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) x))
▶	41.7%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x)) (+.f64 (/.f64 x (*.f64 y x)) (neg.f64 x)))
▶	30.7%	(/.f64 (-.f64 #s(literal 1 binary64) z) y)
	40.7%	(/.f64 (exp.f64 (neg.f64 z)) y)
✓	41.2%	(/.f64 #s(literal 1 binary64) y)
	67.3%	(-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y))
▶	54.6%	(+.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)
✓	86.7%	(+.f64 (/.f64 #s(literal 1 binary64) y) x)
	64.3%	(+.f64 x (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
	58.7%	(+.f64 x (/.f64 (fma.f64 (.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 (.f64 z z) (.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (.f64 y (-.f64 (fma.f64 (.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))))))
	60.5%	(+.f64 x (/.f64 (fma.f64 (.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 y (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))))
	64.9%	(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
✓	65.3%	(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
	59.9%	(+.f64 x (/.f64 (/.f64 (fma.f64 (.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 (.f64 z z) (.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))))) y))
✓	85.6%	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
▶	79.7%	(+.f64 x (/.f64 x (*.f64 y x)))
	43.6%	(.f64 (fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) x)))
	27.9%	(.f64 (/.f64 (fma.f64 x (neg.f64 x) (/.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 x x (/.f64 x y))))
	16.5%	(.f64 z (fma.f64 z (/.f64 x (.f64 z z)) (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)))
	39.2%	(*.f64 z (/.f64 x z))
	3.5%	(*.f64 z (/.f64 #s(literal -1 binary64) y))
	5.1%	(.f64 z (.f64 z (/.f64 #s(literal 1/2 binary64) y)))
✓	3.5%	(neg.f64 (/.f64 z y))

Compiler

Compiled 1 145 to 639 computations (44.2% saved)

simplify307.0ms (2.7%)

Memory

-29.2MiB live, 379.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
✓	cost-diff	0	(+.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x))
✓	cost-diff	128	(+.f64 (/.f64 x (*.f64 y x)) (neg.f64 x))
✓	cost-diff	128	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x)) (+.f64 (/.f64 x (*.f64 y x)) (neg.f64 x)))
✓	cost-diff	320	(/.f64 x (*.f64 y x))
✓	cost-diff	0	(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) z) y)
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(+.f64 x (/.f64 x (*.f64 y x)))
✓	cost-diff	320	(/.f64 x (*.f64 y x))

Rules

6 036×	`lower-fma.f32`
6 032×	`lower-fma.f64`
3 076×	`lower-*.f32`
3 070×	`lower-*.f64`
1 538×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	130
0	43	128
1	77	128
2	118	118
3	185	118
4	368	118
5	869	118
6	2763	118
7	5650	118
8	7627	118
0	8029	117

Stop Event

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

Calls

Call 1

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

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

localize120.0ms (1.1%)

Memory

23.5MiB live, 177.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(+.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)
✓	accuracy	45.8%	(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 y y))
✓	accuracy	92.5%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x))
✓	accuracy	82.2%	(/.f64 x (*.f64 y x))
✓	accuracy	50.7%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x)) (+.f64 (/.f64 x (*.f64 y x)) (neg.f64 x)))
✓	accuracy	100.0%	(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))
✓	accuracy	92.9%	(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) z) y)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(+.f64 x (/.f64 x (*.f64 y x)))
✓	accuracy	82.2%	(/.f64 x (*.f64 y x))

Samples

89.0ms

256×

valid

Compiler

Compiled 137 to 28 computations (79.6% saved)

Precisions

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

ival-pow: 41.0ms (56.6% of total)

ival-div: 14.0ms (19.3% of total)

ival-mult: 8.0ms (11% of total)

ival-add: 6.0ms (8.3% of total)

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

exact: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

series23.0ms (0.2%)

Memory

-21.1MiB live, 17.8MiB allocated

Counts

15 → 288

Calls

Call 1

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

Outputs
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (/ 1 (* y z)) (/ 1 y)))>
#<alt (* z (- (/ 1 (* y z)) (/ 1 y)))>
#<alt (* z (- (/ 1 (* y z)) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))>
#<alt (* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))>
#<alt (* -1 (* z (- (/ 1 y) (/ 1 (* y z)))))>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt (/ (- 1 z) y)>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z y)) (/ 1 y))>
#<alt (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))>
#<alt (+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y))>
#<alt (* 1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 y)) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (* y (pow z 2)))) (/ 1 (* y z))))>
#<alt (* (pow z 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (* y (pow z 2)))) (/ 1 (* y z))))>
#<alt (* 1/2 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* 1/2 (/ 1 y)) (/ 1 (* y z))))>
#<alt (* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow z 2) (+ (* -1 (/ (- (/ 1 y) (/ 1 (* y z))) z)) (* 1/2 (/ 1 y))))>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt (/ (+ 1 (* z (- (* 1/2 z) 1))) y)>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* z (- (* 1/2 z) 1)))>
#<alt (+ 1 (* z (- (* 1/2 z) 1)))>
#<alt (* 1/2 (pow z 2))>
#<alt (* (pow z 2) (- 1/2 (/ 1 z)))>
#<alt (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))>
#<alt (* (pow z 2) (- (+ 1/2 (/ 1 (pow z 2))) (/ 1 z)))>
#<alt (* 1/2 (pow z 2))>
#<alt (* (pow z 2) (- 1/2 (/ 1 z)))>
#<alt (* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))>
#<alt (* (pow z 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 z)) z))))>
#<alt -1>
#<alt (- (* 1/2 z) 1)>
#<alt (- (* 1/2 z) 1)>
#<alt (- (* 1/2 z) 1)>
#<alt (* 1/2 z)>
#<alt (* z (- 1/2 (/ 1 z)))>
#<alt (* z (- 1/2 (/ 1 z)))>
#<alt (* z (- 1/2 (/ 1 z)))>
#<alt (* 1/2 z)>
#<alt (* -1 (* z (- (/ 1 z) 1/2)))>
#<alt (* -1 (* z (- (/ 1 z) 1/2)))>
#<alt (* -1 (* z (- (/ 1 z) 1/2)))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (/ 1 y)>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (/ 1 y)>
#<alt (+ (* -1 x) (/ 1 y))>
#<alt (+ (* -1 x) (/ 1 y))>
#<alt (+ (* -1 x) (/ 1 y))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 (* x y)) 1))>
#<alt (* x (- (/ 1 (* x y)) 1))>
#<alt (* x (- (/ 1 (* x y)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 (* x y)))))>
#<alt (* -1 (* x (- 1 (/ 1 (* x y)))))>
#<alt (* -1 (* x (- 1 (/ 1 (* x y)))))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* -1 (* x y))) y)>
#<alt (/ (+ 1 (* -1 (* x y))) y)>
#<alt (/ (+ 1 (* -1 (* x y))) y)>
#<alt (* -1 x)>
#<alt (- (/ 1 y) x)>
#<alt (- (/ 1 y) x)>
#<alt (- (/ 1 y) x)>
#<alt (* -1 x)>
#<alt (- (/ 1 y) x)>
#<alt (- (/ 1 y) x)>
#<alt (- (/ 1 y) x)>
#<alt (/ 1 (pow y 2))>
#<alt (/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2))>
#<alt (/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2))>
#<alt (/ (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (pow y 2))>
#<alt (* -1 (pow x 2))>
#<alt (- (/ 1 (pow y 2)) (pow x 2))>
#<alt (- (/ 1 (pow y 2)) (pow x 2))>
#<alt (- (/ 1 (pow y 2)) (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (- (/ 1 (pow y 2)) (pow x 2))>
#<alt (- (/ 1 (pow y 2)) (pow x 2))>
#<alt (- (/ 1 (pow y 2)) (pow x 2))>
#<alt (/ 1 (pow y 2))>
#<alt (+ (* -1 (pow x 2)) (/ 1 (pow y 2)))>
#<alt (+ (* -1 (pow x 2)) (/ 1 (pow y 2)))>
#<alt (+ (* -1 (pow x 2)) (/ 1 (pow y 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))>
#<alt (* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))>
#<alt (* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))>
#<alt (* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))>
#<alt (* (pow x 2) (- (/ 1 (* (pow x 2) (pow y 2))) 1))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt (/ (+ 1 (* x y)) y)>
#<alt x>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (- x (/ 1 y))>
#<alt (- x (/ 1 y))>
#<alt (- x (/ 1 y))>
#<alt (/ 1 y)>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt (+ x (/ 1 y))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt x>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (* x (+ 1 (/ 1 (* x y))))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>

Calls

72 calls:

Time	Variable		Point	Expression
15.0ms	y	@	0	(/ (+ (* z (+ (* z 1/2) -1)) 1) y)
0.0ms	y	@	0	(/ (- 1 z) y)
0.0ms	y	@	inf	(/ (- 1 z) y)
0.0ms	y	@	0	(+ (pow (* y y) -1/2) x)
0.0ms	y	@	-inf	(/ (- 1 z) y)

rewrite372.0ms (3.3%)

Memory

35.5MiB live, 664.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 104×	`lower-fma.f32`
6 100×	`lower-fma.f64`
4 900×	`lower-/.f32`
4 890×	`lower-/.f64`
4 512×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	98
0	43	96
1	198	86
2	1588	86
0	8554	86

Stop Event

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

Counts

15 → 674

Calls

Call 1

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

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

simplify287.0ms (2.5%)

Memory

-30.3MiB live, 531.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 870×	`lower-fma.f64`
7 870×	`lower-fma.f32`
3 184×	`lower-*.f64`
3 184×	`lower-*.f32`
1 600×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	1646
1	244	1562
2	586	1518
3	1510	1514
4	4113	1406
5	7479	1406
0	8016	1336

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 276

Calls

Call 1

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

Outputs
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
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(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))

eval166.0ms (1.5%)

Memory: 38.0MiB live, 266.4MiB allocated
Compiler: Compiled 22 795 to 2 144 computations (90.6% saved)

prune237.0ms (2.1%)

Memory

-46.0MiB live, 189.8MiB allocated

Pruning

35 alts after pruning (27 fresh and 8 done)

	Pruned	Kept	Total
New	1 059	13	1 072
Fresh	10	14	24
Picked	2	3	5
Done	0	5	5
Total	1 071	35	1 106

Accuracy

100.0%

Counts

1 106 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.5%	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) x x)
	50.1%	(fma.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 y x)) x)
	55.4%	(fma.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y x)) x)
	51.0%	(fma.f64 x (/.f64 (pow.f64 (/.f64 y z) y) (*.f64 y x)) x)
	30.1%	(/.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z (.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 y (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
✓	34.9%	(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
	75.6%	(/.f64 (fma.f64 y x (exp.f64 (neg.f64 z))) y)
	77.1%	(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
	39.2%	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
	32.1%	(/.f64 (/.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 z (.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) y)
	30.5%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (.f64 z (.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 z z z)) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))) y)
	19.9%	(/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 (/.f64 x (.f64 y x)) (neg.f64 x)))
	26.3%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x)) (/.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 0 binary64) x) (.f64 x (neg.f64 (.f64 x x)))) (*.f64 x (+.f64 #s(literal 0 binary64) x))))
	34.6%	(/.f64 (-.f64 (.f64 (/.f64 x y) (+.f64 #s(literal 0 binary64) x)) (.f64 x (neg.f64 (.f64 x x)))) (.f64 x (+.f64 #s(literal 0 binary64) x)))
	32.3%	(/.f64 (-.f64 (.f64 x (+.f64 #s(literal 0 binary64) x)) (.f64 (.f64 x y) (neg.f64 (.f64 x x)))) (.f64 (.f64 x y) (+.f64 #s(literal 0 binary64) x)))
✓	30.7%	(/.f64 (-.f64 #s(literal 1 binary64) z) y)
	7.9%	(/.f64 (.f64 z (.f64 z #s(literal 1/2 binary64))) y)
	40.7%	(/.f64 (exp.f64 (neg.f64 z)) y)
✓	41.2%	(/.f64 #s(literal 1 binary64) y)
	67.3%	(-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y))
✓	86.7%	(+.f64 (/.f64 #s(literal 1 binary64) y) x)
	46.3%	(+.f64 (/.f64 #s(literal -1 binary64) y) x)
	64.3%	(+.f64 x (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
	64.9%	(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
✓	65.3%	(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
	74.9%	(+.f64 x (/.f64 (/.f64 x y) x))
✓	85.6%	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
✓	79.7%	(+.f64 x (/.f64 x (*.f64 y x)))
	34.9%	(*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
	41.6%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (.f64 x y)) x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 x x)))
	16.5%	(.f64 z (fma.f64 z (/.f64 x (.f64 z z)) (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)))
	39.2%	(*.f64 z (/.f64 x z))
	3.5%	(*.f64 z (/.f64 #s(literal -1 binary64) y))
	5.1%	(.f64 z (.f64 z (/.f64 #s(literal 1/2 binary64) y)))
✓	3.5%	(neg.f64 (/.f64 z y))

Compiler

Compiled 1 444 to 533 computations (63.1% saved)

regimes148.0ms (1.3%)

Memory

-13.3MiB live, 143.2MiB allocated

Counts

58 → 3

Calls

Call 1

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

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

Calls

5 calls:

37.0ms	z
35.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
33.0ms	y
15.0ms	x
15.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))

Results

Accuracy	Segments	Branch
91.1%	3	`x`
99.8%	3	`y`
88.6%	2	`z`
92.2%	3	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
92.6%	3	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes227.0ms (2%)

Memory

28.8MiB live, 105.2MiB allocated

Counts

52 → 2

Calls

Call 1

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

Outputs
(+.f64 x (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)

Calls

4 calls:

101.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
96.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
14.0ms	x
14.0ms	y

Results

Accuracy	Segments	Branch
86.7%	1	`x`
86.7%	1	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
86.7%	1	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
89.0%	2	`y`

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes82.0ms (0.7%)

Memory

-24.1MiB live, 15.3MiB allocated

Counts

25 → 2

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) y)
(neg.f64 (/.f64 z y))
(+.f64 (/.f64 #s(literal -1 binary64) y) x)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 z (/.f64 #s(literal -1 binary64) y))
(*.f64 z (/.f64 x z))
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y))
(-.f64 x (/.f64 (-.f64 z #s(literal 1 binary64)) y))
(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
(+.f64 x (/.f64 x (*.f64 y x)))
(.f64 z (.f64 z (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 (.f64 z (.f64 z #s(literal 1/2 binary64))) y)
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) x x)
(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(+.f64 x (/.f64 (/.f64 x y) x))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(/.f64 (.f64 z (.f64 z #s(literal 1/2 binary64))) (*.f64 y y))
(*.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x (/.f64 z y)))
(fma.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) x)
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(.f64 z (fma.f64 z (/.f64 x (.f64 z z)) (/.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) y)))

Outputs
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)

Calls

1 calls:

81.0ms

Results

Accuracy	Segments	Branch
89.0%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

22 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
89.0%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	y
5.0ms	z

Results

Accuracy	Segments	Branch
86.7%	1	`z`
86.7%	1	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes146.0ms (1.3%)

Memory

-15.0MiB live, 27.1MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

5 calls:

139.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
2.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
66.3%	3	`x`
69.5%	3	`y`
57.4%	4	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
67.5%	3	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
55.1%	2	`z`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

-12.0MiB live, 27.4MiB allocated

Accuracy

Total -24.5b remaining (-65.1%)

Threshold costs -24.5b (-65.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) y)
(neg.f64 (/.f64 z y))

Outputs
(/.f64 #s(literal 1 binary64) y)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
41.2%	1	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
41.2%	1	`z`
41.2%	1	`x`
41.2%	1	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
41.2%	1	`y`

Compiler

Compiled 42 to 28 computations (33.3% saved)

bsearch40.0ms (0.3%)

Memory

17.2MiB live, 93.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.7424855328478526e-19	1.2865941490516146e-11
15.0ms	-696.2250029285434	-114.30512729776622

Samples

20.0ms	240×	0	valid
6.0ms	59×	0	invalid

Compiler

Compiled 319 to 241 computations (24.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-log: 5.0ms (27.4% of total)

ival-div: 4.0ms (21.9% of total)

ival-add: 3.0ms (16.4% of total)

ival-mult: 3.0ms (16.4% of total)

ival-exp: 2.0ms (10.9% of total)

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

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

bsearch1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-696.2250029285434	-114.30512729776622

Compiler

Compiled 199 to 142 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-696.2250029285434	-114.30512729776622

Compiler

Compiled 181 to 136 computations (24.9% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-696.2250029285434	-114.30512729776622

Compiler

Compiled 163 to 124 computations (23.9% saved)

bsearch45.0ms (0.4%)

Memory

5.8MiB live, 83.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	505121686073120100.0	3.1551210993626567e+22
14.0ms	-696.2250029285434	-114.30512729776622

Samples

15.0ms	151×	0	valid
13.0ms	57×	1	valid
3.0ms	44×	0	invalid

Compiler

Compiled 243 to 198 computations (18.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-log: 8.0ms (34.1% of total)

ival-div: 7.0ms (29.8% of total)

ival-add: 3.0ms (12.8% of total)

ival-exp: 2.0ms (8.5% of total)

ival-mult: 2.0ms (8.5% of total)

adjust: 1.0ms (4.3% of total)

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

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

simplify9.0ms (0.1%)

Memory

-15.1MiB live, 23.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	125
1	58	125
2	61	125
3	62	125

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -115 binary64)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (if (<=.f64 y #s(literal 7737125245533627/618970019642690137449562112 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(if (<=.f64 y #s(literal -115 binary64)) (+.f64 x (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) y))) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 y #s(literal -115 binary64)) (+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 y #s(literal -115 binary64)) (+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(if (<=.f64 y #s(literal -350 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) x) (if (<=.f64 y #s(literal 9500000000000001048576 binary64)) (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal -1 binary64) y) x)))
(/.f64 #s(literal 1 binary64) y)

Outputs
(if (<=.f64 y #s(literal -115 binary64)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (if (<=.f64 y #s(literal 7737125245533627/618970019642690137449562112 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(if (<=.f64 y #s(literal -115 binary64)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y)) (if (<=.f64 y #s(literal 7737125245533627/618970019642690137449562112 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))))
(if (<=.f64 y #s(literal -115 binary64)) (+.f64 x (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) y))) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 y #s(literal -115 binary64)) (+.f64 x (fma.f64 z (*.f64 (/.f64 z y) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) y))) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(if (<=.f64 y #s(literal -115 binary64)) (+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 y #s(literal -115 binary64)) (+.f64 x (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(if (<=.f64 y #s(literal -115 binary64)) (+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 y #s(literal -115 binary64)) (+.f64 x (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+.f64 x (/.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -350 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) x) (if (<=.f64 y #s(literal 9500000000000001048576 binary64)) (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal -1 binary64) y) x)))
(if (<=.f64 y #s(literal -350 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 9500000000000001048576 binary64)) (/.f64 #s(literal 1 binary64) y) (+.f64 x (/.f64 #s(literal -1 binary64) y))))
(/.f64 #s(literal 1 binary64) y)

soundness833.0ms (7.3%)

Memory

6.2MiB live, 772.5MiB allocated

Rules

16 926×	`lower-fma.f64`
16 926×	`lower-fma.f32`
9 370×	`lower-fma.f64`
9 370×	`lower-fma.f32`
7 870×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	94
0	40	94
1	191	94
2	2072	92
0	8585	89
0	100	1646
1	244	1562
2	586	1518
3	1510	1514
4	4113	1406
5	7479	1406
0	8016	1336
0	603	4108
1	1814	3482
2	6086	3379
0	8218	3225
0	196	2306
1	554	2304
2	1559	2178
3	4759	2044
0	8115	1944

Stop Event

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

Compiler

Compiled 262 to 146 computations (44.3% saved)

preprocess57.0ms (0.5%)

Memory: -14.3MiB live, 142.2MiB allocated
Compiler: Compiled 352 to 150 computations (57.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze263.0ms (2.3%)

sample2.1s (18.7%)

preprocess260.0ms (2.3%)

explain268.0ms (2.4%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify9.0ms (0.1%)

localize125.0ms (1.1%)

series33.0ms (0.3%)

rewrite289.0ms (2.5%)

simplify456.0ms (4%)

eval68.0ms (0.6%)

prune109.0ms (1%)

simplify384.0ms (3.4%)

localize79.0ms (0.7%)

series24.0ms (0.2%)

rewrite564.0ms (5%)

simplify499.0ms (4.4%)

eval127.0ms (1.1%)

prune184.0ms (1.6%)

simplify523.0ms (4.6%)

localize283.0ms (2.5%)

series84.0ms (0.7%)

rewrite360.0ms (3.2%)

simplify439.0ms (3.9%)

eval488.0ms (4.3%)

prune177.0ms (1.6%)

simplify307.0ms (2.7%)

localize120.0ms (1.1%)

series23.0ms (0.2%)

rewrite372.0ms (3.3%)

simplify287.0ms (2.5%)

eval166.0ms (1.5%)

prune237.0ms (2.1%)

regimes148.0ms (1.3%)

regimes227.0ms (2%)

regimes82.0ms (0.7%)

regimes7.0ms (0.1%)

regimes11.0ms (0.1%)

regimes146.0ms (1.3%)

regimes9.0ms (0.1%)

bsearch40.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch45.0ms (0.4%)

simplify9.0ms (0.1%)

soundness833.0ms (7.3%)

preprocess57.0ms (0.5%)

end0.0ms (0%)

Profiling