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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze245.0ms (2.2%)

Memory

-0.8MiB live, 275.0MiB 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)

sample2.0s (17.9%)

Memory

75.6MiB live, 2 672.1MiB allocated

Samples

850.0ms	2 224×	1	valid
691.0ms	6 032×	0	valid
78.0ms	1 017×	0	invalid
2.0ms	21×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-log: 572.0ms (47.5% of total)

ival-div: 199.0ms (16.5% of total)

ival-add: 167.0ms (13.9% of total)

ival-exp: 128.0ms (10.6% of total)

ival-mult: 83.0ms (6.9% of total)

adjust: 44.0ms (3.7% of total)

ival-true: 7.0ms (0.6% of total)

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

Bogosity

explain226.0ms (2%)

Memory

-15.0MiB live, 470.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
149	30	(-1.322826848227174e-40 1.3154205800498291e+244 1.2539921958314687e-116)	0	-	`(log.f64 (/.f64 y (+.f64 z y)))`
34	0	-	4	(-1.6474006925397476e+232 -1.400575895317331e+31 1.8287211559569985e-289)	`(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))`
1	0	-	0	-	`(exp.f64 (*.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	-	`(+.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	156	0
`log.f64`	`(log.f64 (/.f64 y (+.f64 z y)))`	uflow-rescue	20	0
↳	`(log.f64 (/.f64 y (+.f64 z y)))`	underflow	30
↳	`(/.f64 y (+.f64 z y))`	underflow	23
`*.f64`	`(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))`	*nu**	8	0
`exp.f64`	`(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))`	sensitivity	1	1

Confusion

	Predicted +	Predicted -
+	41	1
-	136	78

Precision

0.23163841807909605

Recall

0.9761904761904762

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	41	0	1
-	136	0	78

Precision?

0.23163841807909605

Recall?

0.9761904761904762

Freqs

test

number	freq
0	79
1	169
2	8

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

80.0ms	262×	1	valid
19.0ms	216×	0	valid
16.0ms	34×	2	valid

Compiler

Compiled 136 to 34 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-log: 39.0ms (43.5% of total)

ival-div: 21.0ms (23.4% of total)

ival-exp: 8.0ms (8.9% of total)

ival-add: 8.0ms (8.9% of total)

ival-mult: 7.0ms (7.8% of total)

adjust: 6.0ms (6.7% of total)

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

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

preprocess235.0ms (2.1%)

Memory

13.9MiB live, 52.1MiB 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))

Compiler

Compiled 16 to 10 computations (37.5% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.9%	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify4.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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

localize116.0ms (1.1%)

Memory

7.4MiB live, 127.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01791000976844202	(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
accuracy	0.0234375	(/.f64 y (+.f64 z y))
accuracy	7.610652494460043	(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
accuracy	33.74430128505472	(log.f64 (/.f64 y (+.f64 z y)))

Samples

70.0ms	131×	1	valid
16.0ms	17×	2	valid
9.0ms	108×	0	valid

Compiler

Compiled 60 to 12 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-div: 45.0ms (54.3% of total)

ival-log: 24.0ms (29% of total)

ival-exp: 4.0ms (4.8% of total)

ival-add: 4.0ms (4.8% of total)

adjust: 3.0ms (3.6% of total)

ival-mult: 3.0ms (3.6% of total)

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

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

series50.0ms (0.5%)

Memory

-17.2MiB live, 56.5MiB allocated

Counts

6 → 156

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 y) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (log y) (log (/ 1 z))))) (taylor 0 y) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) (taylor 0 y) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 y) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 z)) (taylor inf y) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) (taylor inf y) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf y) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf y) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 z)) (taylor -inf y) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) (taylor -inf y) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf y) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf y) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1))) (taylor 0 z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(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))) (taylor 0 z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (exp (* y (+ (log y) (log (/ 1 z))))) (taylor inf z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z))) (taylor inf z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(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)))) (taylor inf z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (taylor -inf z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z))) (taylor -inf z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
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#s(alt (- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y))) (taylor inf y) (#s(alt (/.f64 y (+.f64 z y)) (patch (/.f64 y (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 y (+.f64 z y)) (patch (/.f64 y (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ z y))) (taylor -inf y) (#s(alt (/.f64 y (+.f64 z y)) (patch (/.f64 y (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) (* -1 z)) y))) (taylor -inf y) (#s(alt (/.f64 y (+.f64 z y)) (patch (/.f64 y (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)) (* -1 z)) y))) (taylor -inf y) (#s(alt (/.f64 y (+.f64 z y)) (patch (/.f64 y (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (/.f64 y (+.f64 z y)) (patch (/.f64 y (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ z y))) (taylor 0 z) (#s(alt (/.f64 y (+.f64 z y)) (patch (/.f64 y (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- (/ z (pow y 2)) (/ 1 y)))) (taylor 0 z) (#s(alt (/.f64 y (+.f64 z y)) (patch (/.f64 y (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))) (taylor 0 z) (#s(alt (/.f64 y (+.f64 z y)) (patch (/.f64 y (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y (+.f64 z y)) (patch (/.f64 y (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* -1 (/ (pow y 2) z))) z) (taylor inf z) (#s(alt (/.f64 y (+.f64 z y)) (patch (/.f64 y (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ y (/ (pow y 3) (pow z 2))) (/ (pow y 2) z)) z) (taylor inf z) (#s(alt (/.f64 y (+.f64 z y)) (patch (/.f64 y (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z) (taylor inf z) (#s(alt (/.f64 y (+.f64 z y)) (patch (/.f64 y (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y (+.f64 z y)) (patch (/.f64 y (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z)) (taylor -inf z) (#s(alt (/.f64 y (+.f64 z y)) (patch (/.f64 y (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z)) (taylor -inf z) (#s(alt (/.f64 y (+.f64 z y)) (patch (/.f64 y (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z)) (taylor -inf z) (#s(alt (/.f64 y (+.f64 z y)) (patch (/.f64 y (+.f64 z y)) #<representation binary64>) () ())) ())

Calls

39 calls:

Time	Variable		Point	Expression
15.0ms	z	@	0	(exp (* y (log (/ y (+ z y)))))
7.0ms	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)))))

simplify276.0ms (2.5%)

Memory

4.1MiB live, 369.1MiB 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))))
(+ (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)))
(/ (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 y)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
(/ (+ 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)
(/ (exp (* -1 z)) y)
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) 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)))) y)
(/ (+ (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)
(/ (exp (* -1 z)) y)
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))
(* -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))
(* -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))
(/ 1 y)
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(+ (* 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))
(/ (exp (* y (+ (log y) (log (/ 1 z))))) y)
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
(+ (* -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)))))
(+ (* -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))))))
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) 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)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) 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)))))))) (* 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))
(* y (+ (log y) (log (/ 1 z))))
(* y (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))))
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z))))))
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z))))))
(* -1 z)
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 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))))
(+ (* -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)))))
(* -1 z)
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))
(+ (* -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)))
(+ (* -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)))
(* -1 z)
(* z (- (* 1/2 (/ z y)) 1))
(* z (- (* z (+ (* -1/3 (/ z (pow y 2))) (* 1/2 (/ 1 y)))) 1))
(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 3))) (* 1/3 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))) 1))
(* y (+ (log y) (log (/ 1 z))))
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log y) (log (/ 1 z)))))
(+ (* -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))))))
(+ (* -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)))))))
(* y (+ (log (* -1 y)) (log (/ -1 z))))
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 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)))))
(+ (* -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)))))
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(* -1 (/ z y))
(/ (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) 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)
(/ (+ (* -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)
(* -1 (/ z y))
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(* -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))
(* -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))
(* -1 (/ z y))
(* z (- (* 1/2 (/ z (pow y 2))) (/ 1 y)))
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(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 4))) (* 1/3 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))
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(+ (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)))))))
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(+ (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))))
(/ 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)))
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1
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(/ 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)
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z))

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

rewrite215.0ms (2%)

Memory

-5.3MiB live, 398.6MiB allocated

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

eval65.0ms (0.6%)

Memory: -7.1MiB live, 150.7MiB allocated
Compiler: Compiled 13 659 to 2 246 computations (83.6% saved)

prune119.0ms (1.1%)

Memory

27.0MiB live, 149.5MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	473	11	484
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	474	11	485

Accuracy

100.0%

Counts

485 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.9%	(+.f64 x (pow.f64 (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y))) #s(literal -1 binary64)))
	81.5%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
▶	52.3%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (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))
▶	61.0%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (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))
	62.6%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
▶	85.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
	84.9%	(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)))))
	49.1%	(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) 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 #s(literal 1 binary64) y))))
	75.9%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) (*.f64 y x)) x))
▶	39.5%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
▶	40.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))

Compiler

Compiled 360 to 220 computations (38.9% saved)

simplify459.0ms (4.2%)

Memory

12.2MiB live, 239.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
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) y)
cost-diff	0	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (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))
cost-diff	128	(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)))))
cost-diff	128	(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))
cost-diff	384	(+.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)))
cost-diff	0	(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))
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) (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)))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (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)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (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))
cost-diff	0	(/.f64 #s(literal 1 binary64) y)
cost-diff	0	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))

Rules

13 736×	`lower-fma.f32`
13 726×	`lower-fma.f64`
2 716×	`lower-+.f32`
2 700×	`lower-+.f64`
2 534×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	458
0	73	460
1	131	428
2	302	428
3	815	428
4	2118	428
5	4986	428
6	7418	428
0	8020	421

Stop Event

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

Calls

Call 1

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

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

localize293.0ms (2.7%)

Memory

-38.9MiB live, 283.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
accuracy	0.0234375	(/.f64 y (+.f64 y z))
accuracy	14.701580019195976	(pow.f64 (/.f64 y (+.f64 y z)) y)
accuracy	30.49504743336957	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
accuracy	0.9784447078130599	(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))
accuracy	1.4675220489849152	(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))
accuracy	4.551860840719245	(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))
accuracy	28.04168165131813	#s(approx (exp (* y (log (/ y (+ z y))))) (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)))
accuracy	0.01171875	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (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)
accuracy	0.01953125	(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))
accuracy	0.0546875	(fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
accuracy	27.632162940806058	#s(approx (exp (* y (log (/ y (+ z y))))) (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)))
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	38.2481496163898	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
accuracy	0.0078125	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
accuracy	0.01171875	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
accuracy	15.669907284801823	#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))

Samples

152.0ms	104×	1	valid
81.0ms	152×	0	valid

Compiler

Compiled 336 to 40 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-add: 45.0ms (23% of total)

ival-div: 40.0ms (20.5% of total)

ival-pow: 32.0ms (16.4% of total)

ival-mult: 30.0ms (15.4% of total)

ival-log: 16.0ms (8.2% of total)

ival-neg: 11.0ms (5.6% of total)

adjust: 9.0ms (4.6% of total)

const: 8.0ms (4.1% of total)

ival-exp: 4.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series112.0ms (1%)

Memory

-9.4MiB live, 112.7MiB allocated

Counts

21 → 540

Calls

Call 1

Inputs
#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (patch (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) (patch #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (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)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (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)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (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) (patch (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (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) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y (log (/ y (+ z y))))) (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))) (patch #s(approx (exp (* y (log (/ y (+ z y))))) (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))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (+.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))) (patch (+.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))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (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))))) (patch (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))))) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (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)) (patch (+.f64 x (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) (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)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (patch #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) (patch (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 y (+.f64 y z)) y) (patch (pow.f64 (/.f64 y (+.f64 y z)) y) #<representation binary64>) () ())
#s(alt (/.f64 y (+.f64 y z)) (patch (/.f64 y (+.f64 y z)) #<representation binary64>) () ())
#s(alt (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y (log (/ y (+ z y))))) (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))) (patch #s(approx (exp ( y (log (/ y (+ z y))))) (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))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())

Outputs
#s(alt (/ (pow (/ y (+ y z)) y) y) (taylor 0 x) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow (/ y (+ y z)) y) y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow (/ y (+ y z)) y) y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow (/ y (+ y z)) y) y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y) (taylor 0 y) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y) (taylor 0 y) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(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) (taylor 0 y) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (exp (* -1 z)) y)) (taylor inf y) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y))) (taylor inf y) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf y) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf y) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (exp (* -1 z)) y)) (taylor -inf y) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (/ 1 y)) (taylor 0 z) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
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#s(alt (* (pow z 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))))) (/ 1 (pow z 2)))) (taylor inf z) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (taylor -inf z) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) (taylor -inf z) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) (taylor -inf z) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))) (taylor -inf z) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow z 3) (pow y 2))) (taylor 0 y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (+ 1/2 (* -1/2 z))))) (pow y 2)) (taylor 0 y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 2)) (taylor 0 y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 2)) (taylor 0 y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) (taylor inf y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y))) (taylor inf y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)))) (taylor inf y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)))) (taylor inf y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) (taylor -inf y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (* (pow z 2) (- (* 1/2 z) 1/2)) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (taylor -inf y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow z 3) y)) (* (pow z 2) (- (* 1/2 z) 1/2))) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (taylor -inf y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow z 3) y)) (* (pow z 2) (- (* 1/2 z) 1/2))) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (taylor -inf y) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())

Calls

135 calls:

Time	Variable		Point	Expression
19.0ms	z	@	-inf	(+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1)
5.0ms	z	@	0	(+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))
1.0ms	z	@	-inf	(+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))
1.0ms	y	@	-inf	(+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1)
1.0ms	y	@	0	(+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))

simplify397.0ms (3.6%)

Memory

-12.7MiB live, 378.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 766×	`lower-fma.f64`
8 766×	`lower-fma.f32`
5 146×	`lower-*.f64`
5 146×	`lower-*.f32`
4 832×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	651	13935
1	2043	12238
2	6898	11904
0	8080	11275

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 520

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))
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(- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)
(* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))
(* (pow z 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))
(* (pow z 2) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))
(* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z))))
(* (pow z 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z)) z))))
(* -1/3 (/ (pow z 2) (pow y 2)))
(/ (+ (* -1/3 (pow z 2)) (* y (* z (+ 1/2 (* -1/2 z))))) (pow y 2))
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
(/ (+ (* -1/3 (pow z 2)) (* y (+ (* y (- (* z (+ 1/2 (* -1/6 z))) 1)) (* z (+ 1/2 (* -1/2 z)))))) (pow y 2))
(- (* z (+ 1/2 (* -1/6 z))) 1)
(- (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) 1)
(- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1)
(- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1)
(- (* z (+ 1/2 (* -1/6 z))) 1)
(- (+ (* -1 (/ (* z (- (* 1/2 z) 1/2)) y)) (* z (+ 1/2 (* -1/6 z)))) 1)
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1)
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)))
(* -1 (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(* (pow z 3) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))))
(* (pow z 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (* 1/2 (/ 1 z)))) (/ 1 (pow z 2))))
(* (pow z 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ (/ 1/2 (* y z)) (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 3))))) (/ 1 (pow z 2))))
(* -1 (* (pow z 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 y))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(* -1 (* (pow z 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 z)) z)) (* 1/2 (/ 1 y)))) z)) (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))))
(* -1/3 (/ (pow z 3) (pow y 2)))
(/ (+ (* -1/3 (pow z 3)) (* y (* (pow z 2) (+ 1/2 (* -1/2 z))))) (pow y 2))
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 2))
(/ (+ (* -1/3 (pow z 3)) (* y (+ (* y (+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) (* (pow z 2) (+ 1/2 (* -1/2 z)))))) (pow y 2))
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(+ 1 (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y)))
(+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y))))
(+ 1 (+ (* -1/3 (/ (pow z 3) (pow y 2))) (+ (* z (- (* z (+ 1/2 (* -1/6 z))) 1)) (/ (* (pow z 2) (+ 1/2 (* -1/2 z))) y))))
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))
(+ 1 (+ (* -1 (/ (* (pow z 2) (- (* 1/2 z) 1/2)) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))
(+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow z 3) y)) (* (pow z 2) (- (* 1/2 z) 1/2))) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))
(+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow z 3) y)) (* (pow z 2) (- (* 1/2 z) 1/2))) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1))))

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

rewrite339.0ms (3.1%)

Memory

5.6MiB live, 397.8MiB allocated

Rules

4 254×	`lower-/.f32`
4 238×	`lower-/.f64`
3 496×	`lower-*.f32`
3 494×	`lower-*.f64`
2 850×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	358
0	73	338
1	371	331
2	3427	331
0	8817	324

Stop Event

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

Counts

21 → 510

Calls

Call 1

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

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

eval146.0ms (1.3%)

Memory: 7.4MiB live, 278.3MiB allocated
Compiler: Compiled 37 447 to 2 901 computations (92.3% saved)

prune165.0ms (1.5%)

Memory

13.1MiB live, 295.6MiB allocated

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	1 011	19	1 030
Fresh	4	2	6
Picked	3	2	5
Done	0	0	0
Total	1 018	23	1 041

Accuracy

100.0%

Counts

1 041 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.7%	(/.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)))) (.f64 y (.f64 y y)))) (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x)))
	45.8%	(/.f64 (-.f64 (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
▶	81.5%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
	64.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
▶	32.9%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
▶	60.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 (fma.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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))
	32.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 y (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (.f64 z (.f64 z #s(literal -1/3 binary64)))) (.f64 y y))) #s(literal 1 binary64))) y))
	65.0%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y))
	62.5%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) y)) #s(literal 1 binary64))) y))
	62.6%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
	31.5%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1) (/.f64 (fma.f64 y (fma.f64 z (.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 z (.f64 y (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) y)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/3 binary64))) (.f64 y y)))) y))
	35.1%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1) (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal -1/3 binary64)) (.f64 y y)))) y))
	38.1%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (.f64 z (.f64 z #s(literal 1/2 binary64))) y))) y))
✓	85.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
	45.8%	(.f64 (-.f64 (.f64 x x) (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))))
	40.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 y #s(literal -1 binary64)))
	29.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ y z)) (/.f64 y z)) y) y))
	23.1%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
▶	28.3%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (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))
▶	26.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z)) y))
	37.7%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (exp.f64 (neg.f64 z))) y))
	39.5%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)))))
✓	40.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))

Compiler

Compiled 930 to 515 computations (44.6% saved)

simplify255.0ms (2.3%)

Memory

1.6MiB live, 357.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 (fma.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 (fma.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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))
cost-diff	320	(fma.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))
cost-diff	3520	(.f64 (fma.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
cost-diff	0	(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))
cost-diff	0	#s(approx (pow (/ y (+ y z)) y) (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)))
cost-diff	0	(/.f64 #s(approx (pow (/ y (+ y z)) y) (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)
cost-diff	0	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (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))
cost-diff	0	(-.f64 #s(literal 1 binary64) z)
cost-diff	0	#s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z))
cost-diff	0	(/.f64 #s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z)) y)
cost-diff	0	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z)) y))
cost-diff	0	#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))
cost-diff	0	(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
cost-diff	0	(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)
cost-diff	0	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))

Rules

18 036×	`lower-fma.f32`
18 016×	`lower-fma.f64`
4 100×	`lower-*.f32`
4 092×	`lower-*.f64`
3 448×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	830
0	108	750
1	205	730
2	525	713
3	1628	713
4	5585	706
0	8214	699

Stop Event

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

Calls

Call 1

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

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

localize324.0ms (2.9%)

Memory

-18.0MiB live, 543.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09375	(*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
accuracy	0.41795605861864704	(/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
accuracy	17.907692689733327	(.f64 (fma.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))))
accuracy	27.632162940806058	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 (fma.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
accuracy	0.9784447078130599	(fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy	1.4675220489849152	(fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64))
accuracy	23.90051172520201	(/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))
accuracy	28.04168165131813	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)))
accuracy	0.01953125	(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))
accuracy	0.0546875	(fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))
accuracy	27.632162940806058	#s(approx (pow (/ y (+ y z)) y) (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)))
accuracy	30.49504743336957	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (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))
accuracy	0	(-.f64 #s(literal 1 binary64) z)
accuracy	0.01171875	(/.f64 #s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z)) y)
accuracy	28.42283350979109	#s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z))
accuracy	30.49504743336957	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z)) y))
accuracy	0.0078125	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
accuracy	0.01171875	(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)
accuracy	0.01791000976844202	(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
accuracy	24.431558638517384	#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))

Samples

141.0ms	131×	1	valid
51.0ms	108×	0	valid
23.0ms	17×	2	valid

Compiler

Compiled 485 to 61 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-add: 35.0ms (20.4% of total)

ival-mult: 31.0ms (18.1% of total)

ival-log: 23.0ms (13.4% of total)

adjust: 20.0ms (11.7% of total)

ival-div: 20.0ms (11.7% of total)

const: 17.0ms (9.9% of total)

ival-pow: 14.0ms (8.2% of total)

ival-exp: 7.0ms (4.1% of total)

ival-neg: 3.0ms (1.8% of total)

ival-sub: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series73.0ms (0.7%)

Memory

24.1MiB live, 219.5MiB allocated

Counts

26 → 672

Calls

Call 1

Inputs
#s(alt (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (patch (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #<representation binary64>) () ())
#s(alt (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (patch (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #<representation binary64>) () ())
#s(alt (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (patch (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #<representation binary64>) () ())
#s(alt #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) (patch #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z)) y)) (patch #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z)) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z)) y) (patch (/.f64 #s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z)) y) #<representation binary64>) () ())
#s(alt #s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z)) (patch #s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())
#s(alt #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (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)) (patch #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (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)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (pow (/ y (+ y z)) y) (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) (patch (/.f64 #s(approx (pow (/ y (+ y z)) y) (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) #<representation binary64>) () ())
#s(alt #s(approx (pow (/ y (+ y z)) y) (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))) (patch #s(approx (pow (/ y (+ y z)) y) (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))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))) (patch (.f64 (fma.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))) #<representation binary64>) () ())
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#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 (fma.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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)) (patch (+.f64 x (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) (fma.f64 z (.f64 (fma.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 (fma.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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) (patch (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) (fma.f64 z (.f64 (fma.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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) #<representation binary64>) () ())
#s(alt (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) (patch (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) #<representation binary64>) () ())
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#s(alt (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) (patch (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 (fma.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))) #s(literal 1 binary64))) (patch #s(approx (exp ( y (log (/ y (+ z y))))) (fma.f64 z (.f64 (fma.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))) #<representation binary64>) () ())
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Outputs
#s(alt (/ (pow (/ y (+ y z)) y) y) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (patch (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow (/ y (+ y z)) y) y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (patch (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow (/ y (+ y z)) y) y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (patch (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow (/ y (+ y z)) y) y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (patch (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (patch (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (patch (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (patch (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (patch (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (patch (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (patch (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (patch (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (patch (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (patch (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (patch (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (patch (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #<representation binary64>) () ())) ())
#s(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) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (patch (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (patch (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (exp (* -1 z)) y)) (taylor inf y) (#s(alt (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (patch (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* 1/2 z) (* 1/2 (* y z))) y) (taylor 0 y) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 z) (taylor inf y) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 z) (* 1/2 (/ z y))) (taylor inf y) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 z) (* 1/2 (/ z y))) (taylor inf y) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 z) (* 1/2 (/ z y))) (taylor inf y) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 z) (taylor -inf y) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 z) (* 1/2 (/ z y))) (taylor -inf y) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 z) (* 1/2 (/ z y))) (taylor -inf y) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 z) (* 1/2 (/ z y))) (taylor -inf y) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())

Calls

168 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(* (+ (* (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) (/ 1 (+ (* z (+ 1/2 (/ 1/2 y))) 1)))
2.0ms	y	@	-inf	(/ (+ (* y (+ (* y (+ (* z -1/6) 1/2)) (+ (* z -1/2) 1/2))) (* z -1/3)) (* y y))
1.0ms	z	@	0	(/ (+ (* y (+ (* y (+ (* z -1/6) 1/2)) (+ (* z -1/2) 1/2))) (* z -1/3)) (* y y))
1.0ms	y	@	-inf	(* (+ (* (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) (/ 1 (+ (* z (+ 1/2 (/ 1/2 y))) 1)))
1.0ms	z	@	inf	(/ (+ (* y (+ (* y (+ (* z -1/6) 1/2)) (+ (* z -1/2) 1/2))) (* z -1/3)) (* y y))

simplify374.0ms (3.4%)

Memory

33.0MiB live, 531.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 972×	`lower-fma.f64`
10 972×	`lower-fma.f32`
6 538×	`lower-*.f64`
6 538×	`lower-*.f32`
5 926×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	894	18716
1	2770	16432
0	8331	15547

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 652

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 y)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
(/ (+ 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)
(/ (exp (* -1 z)) y)
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) 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)))) y)
(/ (+ (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)
(/ (exp (* -1 z)) y)
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))
(* -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))
(* -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))
(/ 1 y)
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(+ (* 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))
(/ (exp (* y (+ (log y) (log (/ 1 z))))) y)
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
(+ (* -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)))))
(+ (* -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))))))
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) 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)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) 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)))))))) (* 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
(+ 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 (+ (log y) (log (/ 1 z))))
(* y (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))))
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z))))))
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z))))))
(* -1 z)
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 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))))
(+ (* -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)))))
(* -1 z)
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))
(+ (* -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)))
(+ (* -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)))
(* -1 z)
(* z (- (* 1/2 (/ z y)) 1))
(* z (- (* z (+ (* -1/3 (/ z (pow y 2))) (* 1/2 (/ 1 y)))) 1))
(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 3))) (* 1/3 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))) 1))
(* y (+ (log y) (log (/ 1 z))))
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log y) (log (/ 1 z)))))
(+ (* -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))))))
(+ (* -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)))))))
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(/ (+ (* 1/2 z) (* y (- (* 1/2 z) 1))) y)
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(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)
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(/ (+ (* -1/3 z) (* y (+ 1/2 (* -1/2 z)))) (pow y 2))
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-1
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(- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)
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(* -1 (* (pow z 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))))
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(- (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y)) 1)
(- (+ (* -1/3 (/ (pow z 2) (pow y 2))) (+ (* z (+ 1/2 (* -1/6 z))) (/ (* z (+ 1/2 (* -1/2 z))) y))) 1)
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1
(+ 1 (* y (+ (log y) (log (/ 1 z)))))
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(+ 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))
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(+ (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))
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(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)))
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1
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(* -1 (/ (- (* -1 (/ (- (/ 1 (* z (pow (+ 1/2 (* 1/2 (/ 1 y))) 3))) (/ 1 (pow (+ 1/2 (* 1/2 (/ 1 y))) 2))) z)) (/ 1 (+ 1/2 (* 1/2 (/ 1 y))))) z))
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(* z (+ 1/2 (* 1/2 (/ 1 y))))
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(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* 1/2 (/ z y))
(/ (+ (* 1/2 z) (* 1/2 (* y z))) y)
(/ (+ (* 1/2 z) (* 1/2 (* y z))) y)
(/ (+ (* 1/2 z) (* 1/2 (* y z))) y)
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(+ (* 1/2 z) (* 1/2 (/ z y)))
(+ (* 1/2 z) (* 1/2 (/ z y)))
(* 1/2 z)
(+ (* 1/2 z) (* 1/2 (/ z y)))
(+ (* 1/2 z) (* 1/2 (/ z y)))
(+ (* 1/2 z) (* 1/2 (/ z y)))

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

rewrite510.0ms (4.6%)

Memory

-175.5MiB live, 464.2MiB allocated

Rules

4 676×	`lower-*.f32`
4 668×	`lower-*.f64`
4 170×	`lower-fma.f32`
4 150×	`lower-fma.f64`
2 308×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	669
0	108	608
1	532	567
2	4968	567
0	8171	557

Stop Event

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

Counts

26 → 482

Calls

Call 1

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

Outputs
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
(+.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (exp.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z))) y))) (/.f64 (/.f64 (exp.f64 (+.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (.f64 y y)) (-.f64 x (/.f64 (exp.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z))) y))))
(fma.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x)
(fma.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (neg.f64 y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) #s(literal -1 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (.f64 x x)) (fma.f64 x (.f64 x x) (/.f64 (exp.f64 (.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z)) #s(literal 3 binary64))) (.f64 y (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (-.f64 (.f64 x x) (/.f64 (exp.f64 (+.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z)) #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (*.f64 y y)))))
(/.f64 (fma.f64 x (.f64 x x) (/.f64 (exp.f64 (.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) #s(literal 3 binary64))) (.f64 y (.f64 y y)))) (fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (*.f64 x x)))
(/.f64 (fma.f64 x (.f64 x x) (/.f64 (exp.f64 (.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) #s(literal 3 binary64))) (.f64 y (.f64 y y)))) (+.f64 (/.f64 (exp.f64 (+.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (.f64 y y)) (-.f64 (.f64 x x) (/.f64 (.f64 x (exp.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z)))) y))))
(/.f64 (-.f64 (.f64 x x) (/.f64 (exp.f64 (+.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z)) #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (.f64 y y))) (-.f64 x (/.f64 (exp.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z))) y)))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (/.f64 (exp.f64 (.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) #s(literal 3 binary64))) (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (/.f64 (exp.f64 (+.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z)) #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (.f64 y y)))) (neg.f64 (-.f64 x (/.f64 (exp.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z))) y))))
(/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x))
(pow.f64 (/.f64 (fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (.f64 x x)) (fma.f64 x (.f64 x x) (/.f64 (exp.f64 (.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z)) #s(literal 3 binary64))) (.f64 y (.f64 y y))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (-.f64 (.f64 x x) (/.f64 (exp.f64 (+.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z)) #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (*.f64 y y)))) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x x) (/.f64 (exp.f64 (.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z)) #s(literal 3 binary64))) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (*.f64 x x))))
(.f64 (-.f64 (.f64 x x) (/.f64 (exp.f64 (+.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (exp.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z))) y))))
(exp.f64 (.f64 (log.f64 (/.f64 y (exp.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) y))
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))))
(/.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (neg.f64 y))
(/.f64 (.f64 (exp.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) (neg.f64 (neg.f64 y)))
(pow.f64 (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (exp.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z))) (/.f64 #s(literal 1 binary64) y))
(.f64 #s(literal 1 binary64) (/.f64 (exp.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z))) y))
(.f64 (neg.f64 (exp.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) y) (exp.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z))))
(.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z)))) #s(literal -1 binary64)))
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
(exp.f64 (.f64 (log.f64 (/.f64 y #s(approx (exp ( y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) y))
(/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)))
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)))))
(/.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)))) (neg.f64 (neg.f64 y)))
(/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) y)
(pow.f64 (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
(.f64 #s(approx (exp ( y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y))
(.f64 (neg.f64 #s(approx (exp ( y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (exp ( y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)))
(.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp ( y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)))
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))
(+.f64 (neg.f64 z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 z))
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(.f64 (fma.f64 #s(approx (+ (/ 1/2 y) (+ ( z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) (.f64 #s(approx (+ (/ 1/2 y) (+ ( z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) (.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(approx (+ (/ 1/2 y) (+ ( z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z #s(literal -1/3 binary64))) (.f64 y y))) #s(literal 1 binary64))))
#s(approx (exp (* y (log (/ y (+ z y))))) (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)))
(exp.f64 (.f64 (log1p.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (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) (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) (neg.f64 (neg.f64 (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) (neg.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))))
(pow.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) (/.f64 #s(literal 1 binary64) (neg.f64 (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 binary64) (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 (pow.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64))) (-.f64 (fma.f64 z (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64)) (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal -1 binary64))) (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 binary64) (fma.f64 z (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (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 (.f64 z #s(literal 1/2 binary64)) (/.f64 (.f64 z #s(literal 1/2 binary64)) y))
(+.f64 (/.f64 (.f64 z #s(literal 1/2 binary64)) y) (.f64 z #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64)))
(fma.f64 z #s(literal 1/2 binary64) (/.f64 (*.f64 z #s(literal 1/2 binary64)) y))
(fma.f64 z (/.f64 #s(literal 1/2 binary64) y) (*.f64 z #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 z #s(literal 1/2 binary64)) y))
(fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) z) (.f64 z #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) z (*.f64 z #s(literal 1/2 binary64)))
(fma.f64 (.f64 z #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y) (.f64 z #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 z (.f64 z z)) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))) (.f64 z (.f64 z z)))) (fma.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 z #s(literal 1/2 binary64)) (-.f64 (.f64 (/.f64 (.f64 z #s(literal 1/2 binary64)) y) (/.f64 (.f64 z #s(literal 1/2 binary64)) y)) (.f64 (.f64 z #s(literal 1/2 binary64)) (/.f64 (*.f64 z #s(literal 1/2 binary64)) y)))))
(/.f64 (-.f64 (.f64 (.f64 z #s(literal 1/2 binary64)) (.f64 z #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 z #s(literal 1/2 binary64)) y) (/.f64 (.f64 z #s(literal 1/2 binary64)) y))) (-.f64 (.f64 z #s(literal 1/2 binary64)) (/.f64 (.f64 z #s(literal 1/2 binary64)) y)))
(/.f64 (.f64 z (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 y (*.f64 y y))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 z (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 y y)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 y (*.f64 y y)))) z) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 y y))) z) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(pow.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(.f64 z (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) z)
(.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))

eval284.0ms (2.6%)

Memory: -2.8MiB live, 272.1MiB allocated
Compiler: Compiled 42 449 to 2 812 computations (93.4% saved)

prune218.0ms (2%)

Memory

8.8MiB live, 359.7MiB allocated

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	1 170	12	1 182
Fresh	3	13	16
Picked	3	2	5
Done	0	2	2
Total	1 176	29	1 205

Accuracy

100.0%

Counts

1 205 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.7%	(/.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)))) (.f64 y (.f64 y y)))) (fma.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (*.f64 x x)))
	45.8%	(/.f64 (-.f64 (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
✓	81.5%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
▶	64.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
	45.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (/.f64 (/.f64 (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/3 binary64))) y) y)) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
	32.9%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) #s(approx (/ (+ (* y (+ (* y (+ (* z -1/6) 1/2)) (+ (* z -1/2) 1/2))) (* z -1/3)) (* y y)) (/.f64 (.f64 z (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
	33.9%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 (fma.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(approx (/ 1 (+ ( z (+ 1/2 (/ 1/2 y))) 1)) (/.f64 (*.f64 #s(literal 2 binary64) y) z))) #s(literal 1 binary64))) y))
▶	59.0%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 (fma.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(approx (/ 1 (+ ( z (+ 1/2 (/ 1/2 y))) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))) #s(literal 1 binary64))) y))
▶	85.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 #s(approx (+ ( (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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))
	32.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 y (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (.f64 z (.f64 z #s(literal -1/3 binary64)))) (.f64 y y))) #s(literal 1 binary64))) y))
	65.0%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y))
	62.6%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
	35.1%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1) (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal -1/3 binary64)) (.f64 y y)))) y))
✓	85.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
▶	45.8%	(.f64 (-.f64 (.f64 x x) (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))))
	40.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 y #s(literal -1 binary64)))
	29.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ y z)) (/.f64 y z)) y) y))
	23.1%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (fma.f64 z (fma.f64 z (+.f64 #s(literal 1/2 binary64) (fma.f64 z (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
	32.0%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y))
	30.1%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) y)) #s(literal 1 binary64))) y))
✓	26.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z)) y))
	37.7%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (exp.f64 (neg.f64 z))) y))
▶	3.1%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) #s(approx (- 1 z) (neg.f64 z))) y))
	4.5%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (.f64 z (.f64 z #s(literal 1/2 binary64))) y))) y))
	8.7%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (.f64 z (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) y))
	39.5%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)))))
✓	40.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
	28.3%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (exp ( y (log (/ y (+ z y))))) (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)))))
	26.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (exp ( y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))))

Compiler

Compiled 1 101 to 610 computations (44.6% saved)

simplify250.0ms (2.3%)

Memory

23.5MiB live, 336.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 (fma.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(approx (/ 1 (+ ( z (+ 1/2 (/ 1/2 y))) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 (fma.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(approx (/ 1 (+ ( z (+ 1/2 (/ 1/2 y))) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))) #s(literal 1 binary64))) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 (fma.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(approx (/ 1 (+ ( z (+ 1/2 (/ 1/2 y))) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))) #s(literal 1 binary64))) y))
cost-diff	320	(fma.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))
cost-diff	0	(/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y))
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 (.f64 x x) (/.f64 (.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y)))
cost-diff	2880	(.f64 (-.f64 (.f64 x x) (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))))
cost-diff	0	(fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
cost-diff	0	#s(approx (- 1 z) (neg.f64 z))
cost-diff	0	#s(approx (pow (/ y (+ y z)) y) #s(approx (- 1 z) (neg.f64 z)))
cost-diff	0	(/.f64 #s(approx (pow (/ y (+ y z)) y) #s(approx (- 1 z) (neg.f64 z))) y)
cost-diff	0	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) #s(approx (- 1 z) (neg.f64 z))) y))
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 #s(approx (+ ( (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 #s(approx (+ ( (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 #s(approx (+ ( (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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))
cost-diff	320	(.f64 #s(approx (+ ( (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))))

Rules

10 510×	`lower-fma.f32`
10 494×	`lower-fma.f64`
3 786×	`lower-*.f32`
3 772×	`lower-*.f64`
2 600×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	1014
0	118	1014
1	204	950
2	443	950
3	1404	922
4	5158	904
5	7904	904
0	8086	886

Stop Event

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

Calls

Call 1

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

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

localize395.0ms (3.6%)

Memory

-22.9MiB live, 548.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09375	(*.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
accuracy	14.610078663555127	(.f64 (fma.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(approx (/ 1 (+ ( z (+ 1/2 (/ 1/2 y))) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)))))
accuracy	18.92023329301537	#s(approx (/ 1 (+ (* z (+ 1/2 (/ 1/2 y))) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))
accuracy	24.298163413248243	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 (fma.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) #s(approx (/ 1 (+ ( z (+ 1/2 (/ 1/2 y))) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))) #s(literal 1 binary64)))
accuracy	0.1392338132413075	(/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y))
accuracy	3.4960813649812352	(-.f64 (.f64 x x) (/.f64 (.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (*.f64 y y)))
accuracy	8.888657284801814	#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
accuracy	28.962105874966536	(.f64 (-.f64 (.f64 x x) (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))))
accuracy	0.9706322078130599	(fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy	1.4558032989849152	(fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
accuracy	25.893880495255534	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
accuracy	29.76949642847406	#s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
accuracy	0.01171875	(/.f64 #s(approx (pow (/ y (+ y z)) y) #s(approx (- 1 z) (neg.f64 z))) y)
accuracy	21.779358024369422	#s(approx (pow (/ y (+ y z)) y) #s(approx (- 1 z) (neg.f64 z)))
accuracy	30.49504743336957	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) #s(approx (- 1 z) (neg.f64 z))) y))
accuracy	34.896500323877476	#s(approx (- 1 z) (neg.f64 z))
accuracy	0.41795605861864704	(/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
accuracy	14.610078663555127	(.f64 #s(approx (+ ( (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))))
accuracy	24.298163413248243	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 #s(approx (+ ( (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
accuracy	28.323117343213706	#s(approx (+ (* (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) #s(literal -1 binary64))

Samples

139.0ms	88×	1	valid
109.0ms	140×	0	valid
22.0ms	16×	1	exit
5.0ms	12×	0	exit

Compiler

Compiled 626 to 58 computations (90.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 238.0ms

ival-div: 58.0ms (24.3% of total)

ival-add: 50.0ms (21% of total)

ival-pow: 43.0ms (18% of total)

ival-mult: 27.0ms (11.3% of total)

ival-log: 25.0ms (10.5% of total)

adjust: 12.0ms (5% of total)

const: 11.0ms (4.6% of total)

ival-exp: 4.0ms (1.7% of total)

ival-sub: 4.0ms (1.7% of total)

ival-neg: 2.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series125.0ms (1.1%)

Memory

10.7MiB live, 169.8MiB allocated

Counts

28 → 720

Calls

Call 1

Inputs
#s(alt (.f64 #s(approx (+ ( (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))) (patch (.f64 #s(approx (+ ( (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 #s(approx (+ ( (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 #s(approx (+ ( (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 #s(approx (+ ( (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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) (patch (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 #s(approx (+ ( (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 #s(approx (+ ( (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))) #s(literal 1 binary64))) (patch #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 #s(approx (+ ( (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) #s(approx (- 1 z) (neg.f64 z))) y)) (patch #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) #s(approx (- 1 z) (neg.f64 z))) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (pow (/ y (+ y z)) y) #s(approx (- 1 z) (neg.f64 z))) y) (patch (/.f64 #s(approx (pow (/ y (+ y z)) y) #s(approx (- 1 z) (neg.f64 z))) y) #<representation binary64>) () ())
#s(alt #s(approx (pow (/ y (+ y z)) y) #s(approx (- 1 z) (neg.f64 z))) (patch #s(approx (pow (/ y (+ y z)) y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) y) #<representation binary64>) () ())
#s(alt #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
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Outputs
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#s(alt (* z (+ 1/2 (* 1/2 (/ 1 y)))) (taylor 0 z) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1/2 (* 1/2 (/ 1 y)))) (taylor 0 z) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1/2 (* 1/2 (/ 1 y)))) (taylor inf z) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1/2 (* 1/2 (/ 1 y)))) (taylor inf z) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1/2 (* 1/2 (/ 1 y)))) (taylor inf z) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1/2 (* 1/2 (/ 1 y)))) (taylor inf z) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1/2 (* 1/2 (/ 1 y)))) (taylor -inf z) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1/2 (* 1/2 (/ 1 y)))) (taylor -inf z) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1/2 (* 1/2 (/ 1 y)))) (taylor -inf z) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1/2 (* 1/2 (/ 1 y)))) (taylor -inf z) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ z y)) (taylor 0 y) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 z) (* 1/2 (* y z))) y) (taylor 0 y) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 z) (* 1/2 (* y z))) y) (taylor 0 y) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 z) (* 1/2 (* y z))) y) (taylor 0 y) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 z) (taylor inf y) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 z) (* 1/2 (/ z y))) (taylor inf y) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 z) (* 1/2 (/ z y))) (taylor inf y) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 z) (* 1/2 (/ z y))) (taylor inf y) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 z) (taylor -inf y) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 z) (* 1/2 (/ z y))) (taylor -inf y) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 z) (* 1/2 (/ z y))) (taylor -inf y) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 z) (* 1/2 (/ z y))) (taylor -inf y) (#s(alt (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (patch (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ())

Calls

180 calls:

Time	Variable		Point	Expression
7.0ms	z	@	inf	(* (- (* x x) (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y))) (/ 1 (- x (/ (exp (* y (log (/ y (+ z y))))) y))))
5.0ms	z	@	-inf	(* (- (* x x) (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y))) (/ 1 (- x (/ (exp (* y (log (/ y (+ z y))))) y))))
2.0ms	z	@	0	(* (- (* x x) (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y))) (/ 1 (- x (/ (exp (* y (log (/ y (+ z y))))) y))))
2.0ms	x	@	0	(- (* x x) (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y)))
2.0ms	y	@	0	(* (- (* x x) (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y))) (/ 1 (- x (/ (exp (* y (log (/ y (+ z y))))) y))))

simplify453.0ms (4.1%)

Memory

24.1MiB live, 540.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 616×	`lower-fma.f64`
6 616×	`lower-fma.f32`
6 340×	`lower-*.f64`
6 340×	`lower-*.f32`
4 664×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1307	24893
1	4183	23404
0	8393	22248

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 700

Calls

Call 1

Inputs
-1
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)))
(* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)))
(* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)))
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))
(* 1/2 (/ z y))
(/ (+ (* 1/2 z) (* y (- z (+ 1 (* 1/2 z))))) y)
(/ (+ (* 1/2 z) (* y (- (+ z (* y (- (* 2 (/ (- (* 1/4 (pow z 2)) 1) z)) (* 2 (/ (* (+ 1 (* 1/2 z)) (- z (+ 1 (* 1/2 z)))) z))))) (+ 1 (* 1/2 z))))) y)
(/ (+ (* 1/2 z) (* y (- (+ z (* y (- (+ (* -2 (/ (* y (* (+ 1 (* 1/2 z)) (- (* 2 (/ (- (* 1/4 (pow z 2)) 1) z)) (* 2 (/ (* (+ 1 (* 1/2 z)) (- z (+ 1 (* 1/2 z)))) z))))) z)) (* 2 (/ (- (* 1/4 (pow z 2)) 1) z))) (* 2 (/ (* (+ 1 (* 1/2 z)) (- z (+ 1 (* 1/2 z)))) z))))) (+ 1 (* 1/2 z))))) y)
(/ (- (* 1/4 (pow z 2)) 1) (+ 1 (* 1/2 z)))
(- (+ (* 1/4 (/ (pow z 2) (+ 1 (* 1/2 z)))) (* 1/2 (/ (pow z 2) (* y (+ 1 (* 1/2 z)))))) (+ (* 1/2 (/ (* z (- (* 1/4 (pow z 2)) 1)) (* y (pow (+ 1 (* 1/2 z)) 2)))) (/ 1 (+ 1 (* 1/2 z)))))
(- (+ (* 1/4 (/ (pow z 2) (* (pow y 2) (+ 1 (* 1/2 z))))) (+ (* 1/4 (/ (pow z 2) (+ 1 (* 1/2 z)))) (* 1/2 (/ (pow z 2) (* y (+ 1 (* 1/2 z))))))) (+ (* 1/2 (/ (* z (- (* 1/4 (pow z 2)) 1)) (* y (pow (+ 1 (* 1/2 z)) 2)))) (+ (* 1/2 (/ (* z (- (* 1/2 (/ (pow z 2) (+ 1 (* 1/2 z)))) (* 1/2 (/ (* z (- (* 1/4 (pow z 2)) 1)) (pow (+ 1 (* 1/2 z)) 2))))) (* (pow y 2) (+ 1 (* 1/2 z))))) (/ 1 (+ 1 (* 1/2 z))))))
(- (+ (* -1/2 (/ (* z (- (* 1/4 (/ (pow z 2) (+ 1 (* 1/2 z)))) (* 1/2 (/ (* z (- (* 1/2 (/ (pow z 2) (+ 1 (* 1/2 z)))) (* 1/2 (/ (* z (- (* 1/4 (pow z 2)) 1)) (pow (+ 1 (* 1/2 z)) 2))))) (+ 1 (* 1/2 z)))))) (* (pow y 3) (+ 1 (* 1/2 z))))) (+ (* 1/4 (/ (pow z 2) (* (pow y 2) (+ 1 (* 1/2 z))))) (+ (* 1/4 (/ (pow z 2) (+ 1 (* 1/2 z)))) (* 1/2 (/ (pow z 2) (* y (+ 1 (* 1/2 z)))))))) (+ (* 1/2 (/ (* z (- (* 1/4 (pow z 2)) 1)) (* y (pow (+ 1 (* 1/2 z)) 2)))) (+ (* 1/2 (/ (* z (- (* 1/2 (/ (pow z 2) (+ 1 (* 1/2 z)))) (* 1/2 (/ (* z (- (* 1/4 (pow z 2)) 1)) (pow (+ 1 (* 1/2 z)) 2))))) (* (pow y 2) (+ 1 (* 1/2 z))))) (/ 1 (+ 1 (* 1/2 z))))))
(/ (- (* 1/4 (pow z 2)) 1) (+ 1 (* 1/2 z)))
(- (+ (* -1 (/ (- (* -1/2 (/ (pow z 2) (+ 1 (* 1/2 z)))) (* -1/2 (/ (* z (- (* 1/4 (pow z 2)) 1)) (pow (+ 1 (* 1/2 z)) 2)))) y)) (* 1/4 (/ (pow z 2) (+ 1 (* 1/2 z))))) (/ 1 (+ 1 (* 1/2 z))))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ (pow z 2) (+ 1 (* 1/2 z)))) (* -1/2 (/ (* z (- (* -1/2 (/ (pow z 2) (+ 1 (* 1/2 z)))) (* -1/2 (/ (* z (- (* 1/4 (pow z 2)) 1)) (pow (+ 1 (* 1/2 z)) 2))))) (+ 1 (* 1/2 z))))) y)) (* -1/2 (/ (pow z 2) (+ 1 (* 1/2 z))))) (* -1/2 (/ (* z (- (* 1/4 (pow z 2)) 1)) (pow (+ 1 (* 1/2 z)) 2)))) y)) (* 1/4 (/ (pow z 2) (+ 1 (* 1/2 z))))) (/ 1 (+ 1 (* 1/2 z))))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (* z (- (* 1/4 (/ (pow z 2) (+ 1 (* 1/2 z)))) (* -1/2 (/ (* z (- (* -1/2 (/ (pow z 2) (+ 1 (* 1/2 z)))) (* -1/2 (/ (* z (- (* 1/4 (pow z 2)) 1)) (pow (+ 1 (* 1/2 z)) 2))))) (+ 1 (* 1/2 z)))))) (* y (+ 1 (* 1/2 z))))) (* 1/4 (/ (pow z 2) (+ 1 (* 1/2 z))))) (* -1/2 (/ (* z (- (* -1/2 (/ (pow z 2) (+ 1 (* 1/2 z)))) (* -1/2 (/ (* z (- (* 1/4 (pow z 2)) 1)) (pow (+ 1 (* 1/2 z)) 2))))) (+ 1 (* 1/2 z))))) y)) (* -1/2 (/ (pow z 2) (+ 1 (* 1/2 z))))) (* -1/2 (/ (* z (- (* 1/4 (pow z 2)) 1)) (pow (+ 1 (* 1/2 z)) 2)))) y)) (* 1/4 (/ (pow z 2) (+ 1 (* 1/2 z))))) (/ 1 (+ 1 (* 1/2 z))))
(/ (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 y)
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y)
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y)
(/ (+ 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)
(/ (exp (* -1 z)) y)
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) 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)))) y)
(/ (+ (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)
(/ (exp (* -1 z)) y)
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))
(* -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))
(* -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))
(/ 1 y)
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(+ (* 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))
(/ (exp (* y (+ (log y) (log (/ 1 z))))) y)
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
(+ (* -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)))))
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(/ (- (+ (/ 1 (* (pow z 2) (pow (+ 1/2 (* 1/2 (/ 1 y))) 3))) (/ 1 (+ 1/2 (* 1/2 (/ 1 y))))) (+ (/ 1 (* z (pow (+ 1/2 (* 1/2 (/ 1 y))) 2))) (/ 1 (* (pow z 3) (pow (+ 1/2 (* 1/2 (/ 1 y))) 4))))) z)
(/ 1 (* z (+ 1/2 (* 1/2 (/ 1 y)))))
(* -1 (/ (- (/ 1 (* z (pow (+ 1/2 (* 1/2 (/ 1 y))) 2))) (/ 1 (+ 1/2 (* 1/2 (/ 1 y))))) z))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* z (pow (+ 1/2 (* 1/2 (/ 1 y))) 3))) (/ 1 (pow (+ 1/2 (* 1/2 (/ 1 y))) 2))) z)) (/ 1 (+ 1/2 (* 1/2 (/ 1 y))))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* z (pow (+ 1/2 (* 1/2 (/ 1 y))) 4))) (/ 1 (pow (+ 1/2 (* 1/2 (/ 1 y))) 3))) z)) (/ 1 (pow (+ 1/2 (* 1/2 (/ 1 y))) 2))) z)) (/ 1 (+ 1/2 (* 1/2 (/ 1 y))))) z))
(* 2 (/ y z))
(* y (+ (* -4 (/ (* y (+ 1 (* 1/2 z))) (pow z 2))) (* 2 (/ 1 z))))
(* y (+ (* y (- (* 8 (/ (* y (pow (+ 1 (* 1/2 z)) 2)) (pow z 3))) (* 4 (/ (+ 1 (* 1/2 z)) (pow z 2))))) (* 2 (/ 1 z))))
(* y (+ (* y (- (* y (- (* -16 (/ (* y (pow (+ 1 (* 1/2 z)) 3)) (pow z 4))) (* -8 (/ (pow (+ 1 (* 1/2 z)) 2) (pow z 3))))) (* 4 (/ (+ 1 (* 1/2 z)) (pow z 2))))) (* 2 (/ 1 z))))
(/ 1 (+ 1 (* 1/2 z)))
(+ (* -1/2 (/ z (* y (pow (+ 1 (* 1/2 z)) 2)))) (/ 1 (+ 1 (* 1/2 z))))
(- (+ (* 1/4 (/ (pow z 2) (* (pow y 2) (pow (+ 1 (* 1/2 z)) 3)))) (/ 1 (+ 1 (* 1/2 z)))) (* 1/2 (/ z (* y (pow (+ 1 (* 1/2 z)) 2)))))
(- (+ (* -1/8 (/ (pow z 3) (* (pow y 3) (pow (+ 1 (* 1/2 z)) 4)))) (/ 1 (+ 1 (* 1/2 z)))) (+ (* -1/4 (/ (pow z 2) (* (pow y 2) (pow (+ 1 (* 1/2 z)) 3)))) (* 1/2 (/ z (* y (pow (+ 1 (* 1/2 z)) 2))))))
(/ 1 (+ 1 (* 1/2 z)))
(+ (* -1/2 (/ z (* y (pow (+ 1 (* 1/2 z)) 2)))) (/ 1 (+ 1 (* 1/2 z))))
(+ (* -1 (/ (- (* -1/4 (/ (pow z 2) (* y (pow (+ 1 (* 1/2 z)) 3)))) (* -1/2 (/ z (pow (+ 1 (* 1/2 z)) 2)))) y)) (/ 1 (+ 1 (* 1/2 z))))
(+ (* -1 (/ (- (* -1 (/ (- (* -1/8 (/ (pow z 3) (* y (pow (+ 1 (* 1/2 z)) 4)))) (* -1/4 (/ (pow z 2) (pow (+ 1 (* 1/2 z)) 3)))) y)) (* -1/2 (/ z (pow (+ 1 (* 1/2 z)) 2)))) y)) (/ 1 (+ 1 (* 1/2 z))))
-1
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)))
(* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)))
(* z (- (+ 1/2 (* 1/2 (/ 1 y))) (/ 1 z)))
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))
(* -1 (* z (+ (* -1 (+ 1/2 (* 1/2 (/ 1 y)))) (/ 1 z))))
(* 1/2 (/ z y))
(/ (+ (* 1/2 z) (* y (- z (+ 1 (* 1/2 z))))) y)
(/ (+ (* 1/2 z) (* y (- (+ z (* y (- (* 2 (/ (- (* 1/4 (pow z 2)) 1) z)) (* 2 (/ (* (+ 1 (* 1/2 z)) (- z (+ 1 (* 1/2 z)))) z))))) (+ 1 (* 1/2 z))))) y)
(/ (+ (* 1/2 z) (* y (- (+ z (* y (- (+ (* -2 (/ (* y (* (+ 1 (* 1/2 z)) (- (* 2 (/ (- (* 1/4 (pow z 2)) 1) z)) (* 2 (/ (* (+ 1 (* 1/2 z)) (- z (+ 1 (* 1/2 z)))) z))))) z)) (* 2 (/ (- (* 1/4 (pow z 2)) 1) z))) (* 2 (/ (* (+ 1 (* 1/2 z)) (- z (+ 1 (* 1/2 z)))) z))))) (+ 1 (* 1/2 z))))) y)
(/ (- (* 1/4 (pow z 2)) 1) (+ 1 (* 1/2 z)))
(- (+ (* 1/4 (/ (pow z 2) (+ 1 (* 1/2 z)))) (* 1/2 (/ (pow z 2) (* y (+ 1 (* 1/2 z)))))) (+ (* 1/2 (/ (* z (- (* 1/4 (pow z 2)) 1)) (* y (pow (+ 1 (* 1/2 z)) 2)))) (/ 1 (+ 1 (* 1/2 z)))))
(- (+ (* 1/4 (/ (pow z 2) (* (pow y 2) (+ 1 (* 1/2 z))))) (+ (* 1/4 (/ (pow z 2) (+ 1 (* 1/2 z)))) (* 1/2 (/ (pow z 2) (* y (+ 1 (* 1/2 z))))))) (+ (* 1/2 (/ (* z (- (* 1/4 (pow z 2)) 1)) (* y (pow (+ 1 (* 1/2 z)) 2)))) (+ (* 1/2 (/ (* z (- (* 1/2 (/ (pow z 2) (+ 1 (* 1/2 z)))) (* 1/2 (/ (* z (- (* 1/4 (pow z 2)) 1)) (pow (+ 1 (* 1/2 z)) 2))))) (* (pow y 2) (+ 1 (* 1/2 z))))) (/ 1 (+ 1 (* 1/2 z))))))
(- (+ (* -1/2 (/ (* z (- (* 1/4 (/ (pow z 2) (+ 1 (* 1/2 z)))) (* 1/2 (/ (* z (- (* 1/2 (/ (pow z 2) (+ 1 (* 1/2 z)))) (* 1/2 (/ (* z (- (* 1/4 (pow z 2)) 1)) (pow (+ 1 (* 1/2 z)) 2))))) (+ 1 (* 1/2 z)))))) (* (pow y 3) (+ 1 (* 1/2 z))))) (+ (* 1/4 (/ (pow z 2) (* (pow y 2) (+ 1 (* 1/2 z))))) (+ (* 1/4 (/ (pow z 2) (+ 1 (* 1/2 z)))) (* 1/2 (/ (pow z 2) (* y (+ 1 (* 1/2 z)))))))) (+ (* 1/2 (/ (* z (- (* 1/4 (pow z 2)) 1)) (* y (pow (+ 1 (* 1/2 z)) 2)))) (+ (* 1/2 (/ (* z (- (* 1/2 (/ (pow z 2) (+ 1 (* 1/2 z)))) (* 1/2 (/ (* z (- (* 1/4 (pow z 2)) 1)) (pow (+ 1 (* 1/2 z)) 2))))) (* (pow y 2) (+ 1 (* 1/2 z))))) (/ 1 (+ 1 (* 1/2 z))))))
(/ (- (* 1/4 (pow z 2)) 1) (+ 1 (* 1/2 z)))
(- (+ (* -1 (/ (- (* -1/2 (/ (pow z 2) (+ 1 (* 1/2 z)))) (* -1/2 (/ (* z (- (* 1/4 (pow z 2)) 1)) (pow (+ 1 (* 1/2 z)) 2)))) y)) (* 1/4 (/ (pow z 2) (+ 1 (* 1/2 z))))) (/ 1 (+ 1 (* 1/2 z))))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ (pow z 2) (+ 1 (* 1/2 z)))) (* -1/2 (/ (* z (- (* -1/2 (/ (pow z 2) (+ 1 (* 1/2 z)))) (* -1/2 (/ (* z (- (* 1/4 (pow z 2)) 1)) (pow (+ 1 (* 1/2 z)) 2))))) (+ 1 (* 1/2 z))))) y)) (* -1/2 (/ (pow z 2) (+ 1 (* 1/2 z))))) (* -1/2 (/ (* z (- (* 1/4 (pow z 2)) 1)) (pow (+ 1 (* 1/2 z)) 2)))) y)) (* 1/4 (/ (pow z 2) (+ 1 (* 1/2 z))))) (/ 1 (+ 1 (* 1/2 z))))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (* z (- (* 1/4 (/ (pow z 2) (+ 1 (* 1/2 z)))) (* -1/2 (/ (* z (- (* -1/2 (/ (pow z 2) (+ 1 (* 1/2 z)))) (* -1/2 (/ (* z (- (* 1/4 (pow z 2)) 1)) (pow (+ 1 (* 1/2 z)) 2))))) (+ 1 (* 1/2 z)))))) (* y (+ 1 (* 1/2 z))))) (* 1/4 (/ (pow z 2) (+ 1 (* 1/2 z))))) (* -1/2 (/ (* z (- (* -1/2 (/ (pow z 2) (+ 1 (* 1/2 z)))) (* -1/2 (/ (* z (- (* 1/4 (pow z 2)) 1)) (pow (+ 1 (* 1/2 z)) 2))))) (+ 1 (* 1/2 z))))) y)) (* -1/2 (/ (pow z 2) (+ 1 (* 1/2 z))))) (* -1/2 (/ (* z (- (* 1/4 (pow z 2)) 1)) (pow (+ 1 (* 1/2 z)) 2)))) y)) (* 1/4 (/ (pow z 2) (+ 1 (* 1/2 z))))) (/ 1 (+ 1 (* 1/2 z))))
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* z (+ 1/2 (* 1/2 (/ 1 y))))
(* 1/2 (/ z y))
(/ (+ (* 1/2 z) (* 1/2 (* y z))) y)
(/ (+ (* 1/2 z) (* 1/2 (* y z))) y)
(/ (+ (* 1/2 z) (* 1/2 (* y z))) y)
(* 1/2 z)
(+ (* 1/2 z) (* 1/2 (/ z y)))
(+ (* 1/2 z) (* 1/2 (/ z y)))
(+ (* 1/2 z) (* 1/2 (/ z y)))
(* 1/2 z)
(+ (* 1/2 z) (* 1/2 (/ z y)))
(+ (* 1/2 z) (* 1/2 (/ z y)))
(+ (* 1/2 z) (* 1/2 (/ z y)))

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

rewrite419.0ms (3.8%)

Memory

10.9MiB live, 483.2MiB allocated

Rules

4 852×	`lower-*.f32`
4 838×	`lower-*.f64`
4 106×	`lower-fma.f32`
4 090×	`lower-fma.f64`
2 454×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	810
0	118	690
1	535	660
2	4705	660
0	8162	648

Stop Event

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

Counts

28 → 402

Calls

Call 1

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

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

eval179.0ms (1.6%)

Memory: 8.4MiB live, 418.7MiB allocated
Compiler: Compiled 49 687 to 3 318 computations (93.3% saved)

prune338.0ms (3.1%)

Memory

-19.3MiB live, 433.9MiB allocated

Pruning

31 alts after pruning (25 fresh and 6 done)

	Pruned	Kept	Total
New	1 194	12	1 206
Fresh	7	13	20
Picked	3	2	5
Done	0	4	4
Total	1 204	31	1 235

Accuracy

100.0%

Counts

1 235 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.5%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
✓	64.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
	32.9%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) #s(approx (/ (+ (* y (+ (* y (+ (* z -1/6) 1/2)) (+ (* z -1/2) 1/2))) (* z -1/3)) (* y y)) (/.f64 (.f64 z (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/3 binary64))) (.f64 y y)))) #s(literal -1 binary64)) #s(literal 1 binary64))) y))
	50.6%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 #s(approx (+ ( (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 z z)) (.f64 y y))) #s(approx (/ 1 (+ ( z (+ 1/2 (/ 1/2 y))) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))) #s(literal 1 binary64))) y))
	59.0%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 #s(approx (+ ( (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) (.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))))) #s(approx (/ 1 (+ ( z (+ 1/2 (/ 1/2 y))) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))) #s(literal 1 binary64))) y))
	52.3%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 #s(approx (+ ( (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ (* z (+ 1/2 (/ 1/2 y))) 1)) (fma.f64 z (-.f64 (fma.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))) #s(literal 1 binary64))) y))
	60.4%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 #s(approx (+ ( (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ (* z (+ 1/2 (/ 1/2 y))) 1)) (/.f64 (*.f64 #s(literal 2 binary64) y) z))) #s(literal 1 binary64))) y))
	70.6%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 #s(approx (+ ( (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ (* z (+ 1/2 (/ 1/2 y))) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))) #s(literal 1 binary64))) y))
	38.1%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 #s(approx (+ ( (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ (* z (+ 1/2 (/ 1/2 y))) 1)) (.f64 y (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 y (.f64 z #s(literal 1/2 binary64)) y) (*.f64 z z)) (/.f64 #s(literal 2 binary64) z))))) #s(literal 1 binary64))) y))
	32.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1) (/.f64 (fma.f64 y (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 y (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 z z) #s(literal -1/3 binary64))) (.f64 y y))) #s(literal 1 binary64))) y))
	65.0%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y))
	62.6%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
	35.1%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* z (+ (* z (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2))) -1)) 1) (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal -1/3 binary64)) (.f64 y y)))) y))
✓	85.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
	30.8%	(.f64 (-.f64 (.f64 x x) (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) (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))))
	35.0%	(.f64 (-.f64 (.f64 x x) (/.f64 (.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))))
	28.4%	(.f64 #s(approx (- ( x x) (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))))
	40.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 y #s(literal -1 binary64)))
	29.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ y z)) (/.f64 y z)) y) y))
	32.0%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) y))
	30.1%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (fma.f64 z #s(approx (+ (* z (+ 1/2 (/ 1/2 y))) -1) (/.f64 (fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 z #s(literal 1/2 binary64))) y)) #s(literal 1 binary64))) y))
✓	26.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z)) y))
	37.7%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (exp.f64 (neg.f64 z))) y))
✓	3.1%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) #s(approx (- 1 z) (neg.f64 z))) y))
	4.5%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (/.f64 (.f64 z (.f64 z #s(literal 1/2 binary64))) y))) y))
	8.7%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) #s(approx (+ (* z (+ (* z (+ 1/2 (/ 1/2 y))) -1)) 1) (.f64 z (.f64 z (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))))) y))
	39.5%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 y (+.f64 y z)) (neg.f64 y)))))
✓	40.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
	3.1%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (pow (/ y (+ y z)) y) #s(approx (- 1 z) (neg.f64 z)))))
	28.3%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (exp ( y (log (/ y (+ z y))))) (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)))))
	45.9%	#s(approx (* (- (* x x) (/ (* (exp (* y (log (/ y (+ z y))))) (exp (* y (log (/ y (+ z y)))))) (* y y))) (/ 1 (- x (/ (exp (* y (log (/ y (+ z y))))) y)))) (/.f64 (fma.f64 x x (/.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 x (/.f64 #s(literal -1 binary64) y))))

Compiler

Compiled 1 650 to 574 computations (65.2% saved)

regimes95.0ms (0.9%)

Memory

34.5MiB live, 226.9MiB allocated

Counts

55 → 3

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

19.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
19.0ms	y
19.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
17.0ms	x
17.0ms	z

Results

Accuracy	Segments	Branch
85.7%	1	`x`
99.3%	3	`y`
89.0%	2	`z`
89.1%	3	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
92.8%	3	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes61.0ms (0.6%)

Memory

-56.6MiB live, 93.5MiB allocated

Counts

47 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

27.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
15.0ms	y
13.0ms	z

Results

Accuracy	Segments	Branch
89.0%	2	`z`
85.7%	1	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
87.6%	2	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes21.0ms (0.2%)

Memory

3.4MiB live, 41.9MiB allocated

Counts

31 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

10.0ms	y
9.0ms	z

Results

Accuracy	Segments	Branch
87.6%	2	`y`
85.7%	1	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	y
4.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))

Results

Accuracy	Segments	Branch
85.7%	1	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
85.7%	1	`y`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes31.0ms (0.3%)

Memory

-19.5MiB live, 18.9MiB allocated

Accuracy

Total -24.0b remaining (-62.8%)

Threshold costs -24b (-62.8%)

Counts

3 → 1

Calls

Call 1

Inputs

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

#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) #s(approx (- 1 z) (neg.f64 z))) y))

#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z)) y))

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

Calls

5 calls:

23.0ms	y
2.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
2.0ms	z
2.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
2.0ms	x

Results

Accuracy	Segments	Branch
40.2%	1	`x`
40.2%	1	`y`
40.2%	1	`z`
40.2%	1	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
40.2%	1	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`

Compiler

Compiled 42 to 28 computations (33.3% saved)

bsearch39.0ms (0.4%)

Memory

28.8MiB live, 66.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0019051607582865548	0.2776085243683168
24.0ms	-1.8621752796858269	-1.3865542285160503e-15

Samples

20.0ms	240×	0	valid
6.0ms	66×	0	invalid

Compiler

Compiled 574 to 361 computations (37.1% saved)

Precisions

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

ival-div: 4.0ms (24.9% of total)

ival-log: 4.0ms (24.9% of total)

ival-exp: 3.0ms (18.7% of total)

ival-add: 3.0ms (18.7% of total)

ival-mult: 2.0ms (12.4% of total)

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

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

bsearch43.0ms (0.4%)

Memory

-10.1MiB live, 68.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	-943070.4994863729	-48.425231909106664

Samples

24.0ms	72×	1	valid
5.0ms	56×	0	valid
4.0ms	54×	0	invalid
0.0ms	1×	1	exit

Compiler

Compiled 363 to 232 computations (36.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-log: 11.0ms (40.7% of total)

ival-add: 5.0ms (18.5% of total)

ival-div: 4.0ms (14.8% of total)

ival-exp: 4.0ms (14.8% of total)

ival-mult: 2.0ms (7.4% of total)

adjust: 1.0ms (3.7% of total)

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

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

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.8621752796858269	-1.3865542285160503e-15

Compiler

Compiled 319 to 216 computations (32.3% saved)

simplify8.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
10×	`*-commutative_binary64`
2×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	268
1	98	268
2	100	268
3	101	268

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -3602879701896397/2251799813685248 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 3602879701896397/18014398509481984 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 #s(approx (+ ( (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))))
(if (<=.f64 z #s(literal -1150 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 #s(approx (+ ( (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ (* z (+ 1/2 (/ 1/2 y))) 1)) (.f64 y (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 y (.f64 z #s(literal 1/2 binary64)) y) (.f64 z z)) (/.f64 #s(literal 2 binary64) z))))) #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(if (<=.f64 y #s(literal -3602879701896397/2251799813685248 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (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(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))

Outputs
(if (<=.f64 y #s(literal -3602879701896397/2251799813685248 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 3602879701896397/18014398509481984 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 #s(approx (+ ( (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))))
(if (<=.f64 z #s(literal -1150 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (.f64 #s(approx (+ ( (* z (+ 1/2 (/ 1/2 y))) (* z (+ 1/2 (/ 1/2 y)))) -1) #s(literal -1 binary64)) #s(approx (/ 1 (+ (* z (+ 1/2 (/ 1/2 y))) 1)) (.f64 y (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 y (.f64 z #s(literal 1/2 binary64)) y) (.f64 z z)) (/.f64 #s(literal 2 binary64) z))))) #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(if (<=.f64 y #s(literal -3602879701896397/2251799813685248 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 z (fma.f64 z #s(approx (+ (/ 1/2 y) (+ (* z (neg (+ 1/6 (+ (/ 1/2 y) (/ 1/3 (* y y)))))) 1/2)) (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(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))

soundness964.0ms (8.7%)

Memory

20.7MiB live, 861.4MiB allocated

Rules

10 972×	`lower-fma.f64`
10 972×	`lower-fma.f32`
9 370×	`lower-fma.f64`
9 370×	`lower-fma.f32`
8 766×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	894	18716
1	2770	16432
0	8331	15547
0	1307	24893
1	4183	23404
0	8393	22248
0	44	358
0	73	338
1	371	331
2	3427	331
0	8817	324
0	603	4108
1	1814	3482
2	6086	3379
0	8218	3225
0	651	13935
1	2043	12238
2	6898	11904
0	8080	11275

Stop Event

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

Compiler

Compiled 292 to 164 computations (43.8% saved)

preprocess124.0ms (1.1%)

Memory: 19.5MiB live, 174.4MiB allocated
Compiler: Compiled 342 to 158 computations (53.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze245.0ms (2.2%)

sample2.0s (17.9%)

explain226.0ms (2%)

preprocess235.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize116.0ms (1.1%)

series50.0ms (0.5%)

simplify276.0ms (2.5%)

rewrite215.0ms (2%)

eval65.0ms (0.6%)

prune119.0ms (1.1%)

simplify459.0ms (4.2%)

localize293.0ms (2.7%)

series112.0ms (1%)

simplify397.0ms (3.6%)

rewrite339.0ms (3.1%)

eval146.0ms (1.3%)

prune165.0ms (1.5%)

simplify255.0ms (2.3%)

localize324.0ms (2.9%)

series73.0ms (0.7%)

simplify374.0ms (3.4%)

rewrite510.0ms (4.6%)

eval284.0ms (2.6%)

prune218.0ms (2%)

simplify250.0ms (2.3%)

localize395.0ms (3.6%)

series125.0ms (1.1%)

simplify453.0ms (4.1%)

rewrite419.0ms (3.8%)

eval179.0ms (1.6%)

prune338.0ms (3.1%)

regimes95.0ms (0.9%)

regimes61.0ms (0.6%)

regimes21.0ms (0.2%)

regimes8.0ms (0.1%)

regimes31.0ms (0.3%)

bsearch39.0ms (0.4%)

bsearch43.0ms (0.4%)

bsearch1.0ms (0%)

simplify8.0ms (0.1%)

soundness964.0ms (8.7%)

preprocess124.0ms (1.1%)

end0.0ms (0%)

Profiling