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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze294.0ms (3.4%)

Memory

-25.6MiB live, 288.4MiB 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)

sample1.9s (21.8%)

Memory

-167.9MiB live, 2 327.2MiB allocated

Samples

699.0ms	2 203×	1	valid
560.0ms	6 053×	0	valid
243.0ms	945×	0	invalid
2.0ms	21×	1	exit

Precisions

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

ival-log: 466.0ms (38.3% of total)

ival-add: 298.0ms (24.5% of total)

ival-div: 202.0ms (16.6% of total)

ival-exp: 121.0ms (10% of total)

ival-mult: 70.0ms (5.8% of total)

adjust: 47.0ms (3.9% of total)

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

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain252.0ms (2.9%)

Memory

31.5MiB live, 265.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
144	44	(1.981231447924521e-104 -2.189637650416969e+240 3.7048807762870063e-190)	0	-	`(log.f64 (/.f64 y (+.f64 z y)))`
47	0	-	3	(2.4628273198188005e-5 3.6581644041089566e+306 1.1791770383883178e-14)	`(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))`
0	0	-	0	-	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
0	0	-	0	-	`z`
0	0	-	0	-	`(/.f64 y (+.f64 z y))`
0	0	-	0	-	`(+.f64 z y)`
0	0	-	0	-	`(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))`
0	0	-	0	-	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
0	0	-	0	-	`y`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (/.f64 y (+.f64 z y)))`	sensitivity	170	1
`log.f64`	`(log.f64 (/.f64 y (+.f64 z y)))`	uflow-rescue	17	0
↳	`(log.f64 (/.f64 y (+.f64 z y)))`	underflow	44
↳	`(/.f64 y (+.f64 z y))`	underflow	18
`*.f64`	`(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))`	*nu**	10	0

Confusion

	Predicted +	Predicted -
+	40	0
-	147	69

Precision

0.21390374331550802

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	40	0	0
-	147	1	68

Precision?

0.2127659574468085

Recall?

1.0

Freqs

test

number	freq
0	69
1	177
2	10

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

82.0ms	280×	1	valid
20.0ms	36×	2	valid
17.0ms	196×	0	valid

Compiler

Compiled 133 to 34 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-log: 47.0ms (53.2% of total)

ival-div: 12.0ms (13.6% of total)

ival-add: 9.0ms (10.2% of total)

ival-exp: 8.0ms (9.1% of total)

adjust: 7.0ms (7.9% of total)

ival-mult: 6.0ms (6.8% of total)

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

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

preprocess230.0ms (2.7%)

Memory

-7.7MiB live, 29.3MiB 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 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.3%	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify4.0ms (0%)

Memory

4.7MiB live, 4.7MiB 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 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
x
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
(pow.f64 (/.f64 y (+.f64 z y)) y)
(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
(*.f64 (log.f64 (/.f64 y (+.f64 z y))) y)
y
(log.f64 (/.f64 y (+.f64 z y)))
(/.f64 y (+.f64 z y))
(+.f64 z y)
z

localize118.0ms (1.4%)

Memory

-7.3MiB live, 111.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.015625	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
accuracy	0.046875	(/.f64 y (+.f64 z y))
accuracy	10.91581851265274	(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
accuracy	32.435196617857784	(log.f64 (/.f64 y (+.f64 z y)))

Samples

49.0ms	140×	1	valid
18.0ms	18×	2	valid
9.0ms	98×	0	valid

Compiler

Compiled 60 to 12 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-log: 32.0ms (60.3% of total)

ival-div: 6.0ms (11.3% of total)

ival-exp: 4.0ms (7.5% of total)

ival-add: 4.0ms (7.5% of total)

adjust: 3.0ms (5.7% of total)

ival-mult: 3.0ms (5.7% of total)

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

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

series39.0ms (0.5%)

Memory

29.3MiB live, 64.4MiB 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 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 (+ x (/ 1 y)) (taylor 0 z) (#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 (+ x (+ (* -1 (/ z y)) (/ 1 y))) (taylor 0 z) (#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 (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) (taylor 0 z) (#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 (+ 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))) (taylor 0 z) (#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 (/ 1 y) (taylor 0 z) (#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 (+ (* -1 (/ z y)) (/ 1 y)) (taylor 0 z) (#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 (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) (taylor 0 z) (#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 (+ (* 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)) (taylor 0 z) (#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 (* -1 z) (taylor 0 z) (#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 (* z (- (* 1/2 (/ z y)) 1)) (taylor 0 z) (#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 (* z (- (* z (+ (* -1/3 (/ z (pow y 2))) (* 1/2 (/ 1 y)))) 1)) (taylor 0 z) (#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 (* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 3))) (* 1/3 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))) 1)) (taylor 0 z) (#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 (* -1 (/ z y)) (taylor 0 z) (#s(alt (log.f64 (/.f64 y (+.f64 z y))) (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ z (pow y 2))) (/ 1 y))) (taylor 0 z) (#s(alt (log.f64 (/.f64 y (+.f64 z y))) (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* z (+ (* -1/3 (/ z (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (taylor 0 z) (#s(alt (log.f64 (/.f64 y (+.f64 z y))) (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 4))) (* 1/3 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (taylor 0 z) (#s(alt (log.f64 (/.f64 y (+.f64 z y))) (patch (log.f64 (/.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 (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 (+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) (taylor inf z) (#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 (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))) (taylor inf z) (#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>) () ())) ())
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#s(alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) (taylor inf x) (#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 (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) (taylor inf x) (#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 (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) (taylor inf x) (#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 x (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) (taylor -inf x) (#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>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	y	@	-inf	((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))) (/ y (+ z y)))
7.0ms	x	@	0	((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))) (/ y (+ z y)))
5.0ms	y	@	inf	((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))) (/ y (+ z y)))
3.0ms	z	@	inf	((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))) (/ y (+ z y)))
3.0ms	z	@	-inf	((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))) (/ y (+ z y)))

simplify199.0ms (2.3%)

Memory

-31.1MiB live, 215.8MiB 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	4112
1	1814	3486
2	6083	3379
0	8215	3225

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 152

Calls

Call 1

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

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

rewrite199.0ms (2.3%)

Memory

26.1MiB live, 184.1MiB 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
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eval108.0ms (1.2%)

Memory: -15.4MiB live, 111.0MiB allocated
Compiler: Compiled 12 636 to 2 389 computations (81.1% saved)

prune32.0ms (0.4%)

Memory

5.7MiB live, 44.1MiB 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
	15.2%	(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 6 binary64))) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (fma.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
	85.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)))
▶	85.3%	(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
▶	85.4%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
	56.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
▶	65.0%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
	68.6%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
▶	86.1%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
	79.4%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) x x))
	38.8%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
▶	41.5%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))

Compiler

Compiled 360 to 240 computations (33.3% saved)

simplify235.0ms (2.7%)

Memory

4.6MiB live, 83.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

4 064×	`lower-fma.f32`
4 060×	`lower-fma.f64`
1 440×	`lower-*.f64`
1 440×	`lower-*.f32`
736×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	262
0	55	262
1	73	248
2	94	248
3	166	248
4	335	248
5	562	248
6	1069	248
7	2140	248
8	2914	248
9	3629	248
10	3975	248
11	4285	248
12	4475	248
13	4672	248
14	4873	248
15	5282	248
16	5535	248
17	5581	248
18	5608	248
19	5612	248
20	5612	248
21	5612	248
22	5612	248
0	5612	244

Stop Event

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

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

localize281.0ms (3.2%)

Memory

-3.5MiB live, 275.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z y)
accuracy	0.015625	(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
accuracy	0.046875	(/.f64 y (+.f64 z y))
accuracy	14.456876713498112	(pow.f64 (/.f64 y (+.f64 z y)) y)
accuracy	0	(neg.f64 z)
accuracy	0.006191259768442017	(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
accuracy	0.015625	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
accuracy	21.07404724770851	#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))
accuracy	0.015625	(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))
accuracy	0.015625	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
accuracy	0.05078125	(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64))
accuracy	26.177743750003966	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)))
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	37.42852747147657	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
accuracy	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
accuracy	0.015625	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
accuracy	15.555072488067115	#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))

Samples

170.0ms	140×	1	valid
50.0ms	18×	2	valid
23.0ms	98×	0	valid

Compiler

Compiled 209 to 26 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 216.0ms

ival-pow: 68.0ms (31.5% of total)

ival-div: 51.0ms (23.6% of total)

ival-add: 46.0ms (21.3% of total)

ival-log: 30.0ms (13.9% of total)

adjust: 8.0ms (3.7% of total)

ival-mult: 7.0ms (3.2% of total)

ival-exp: 4.0ms (1.9% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series57.0ms (0.7%)

Memory

-5.2MiB live, 105.3MiB allocated

Counts

20 → 516

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>) () ())
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#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())

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

Calls

9 calls:

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

simplify249.0ms (2.9%)

Memory

-5.9MiB live, 233.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 268×	`lower-fma.f64`
9 268×	`lower-fma.f32`
5 330×	`lower-*.f64`
5 330×	`lower-*.f32`
3 468×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	572	13564
1	1757	11675
2	5850	11317
0	8115	10767

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 490

Calls

Call 1

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

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

rewrite190.0ms (2.2%)

Memory

28.5MiB live, 250.8MiB allocated

Rules

4 614×	`lower-/.f32`
4 600×	`lower-/.f64`
4 362×	`lower-*.f64`
4 362×	`lower-*.f32`
3 954×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	237
0	55	223
1	234	223
2	1682	223
0	8744	223

Stop Event

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

Counts

20 → 447

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

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eval179.0ms (2.1%)

Memory: 15.4MiB live, 288.1MiB allocated
Compiler: Compiled 22 415 to 2 387 computations (89.4% saved)

prune34.0ms (0.4%)

Memory

3.5MiB live, 86.7MiB allocated

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	927	10	937
Fresh	5	1	6
Picked	2	3	5
Done	0	0	0
Total	934	14	948

Accuracy

100.0%

Counts

948 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.1%	(/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))))
▶	85.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)))
	59.2%	(+.f64 (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y) x)
	56.7%	(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) x)
▶	68.6%	(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z)) y) x)
✓	85.4%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
	69.3%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y))
▶	65.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y))
▶	63.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))) y))) y))
✓	86.1%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
	65.0%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))))))
	79.4%	#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x))
▶	38.8%	#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
✓	41.5%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))

Compiler

Compiled 396 to 301 computations (24% saved)

simplify168.0ms (1.9%)

Memory

8.1MiB live, 117.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y (+.f64 z y))
cost-diff	0	(pow.f64 (/.f64 y (+.f64 z y)) y)
cost-diff	0	(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
cost-diff	0	#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))) y))) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))) y))) y))
cost-diff	320	(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))) y)
cost-diff	512	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y))
cost-diff	192	(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z))
cost-diff	320	(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)
cost-diff	0	(-.f64 #s(literal 1 binary64) z)
cost-diff	0	#s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z))
cost-diff	0	(/.f64 #s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z)) y)
cost-diff	0	(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z)) y) x)
cost-diff	0	(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
cost-diff	0	(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)))

Rules

9 996×	`lower-fma.f32`
9 986×	`lower-fma.f64`
3 508×	`lower-*.f32`
3 502×	`lower-*.f64`
2 134×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	557
0	80	553
1	112	541
2	166	541
3	305	535
4	696	535
5	1195	535
6	2161	523
7	3951	513
8	5721	513
0	8086	481

Stop Event

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

Calls

Call 1

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

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

localize315.0ms (3.6%)

Memory

-26.7MiB live, 465.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z y)
accuracy	0.03515625	(/.f64 y (+.f64 z y))
accuracy	9.613126713498104	(pow.f64 (/.f64 y (+.f64 z y)) y)
accuracy	30.214480855760037	#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
accuracy	0.015625	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))) y))) y))
accuracy	2.586397906102989	(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))) y)
accuracy	3.3945229933208236	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64)))
accuracy	21.176572406384437	#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))) y)))
accuracy	0.015625	(fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))
accuracy	0.015625	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y))
accuracy	3.278443195125929	(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)
accuracy	21.176572406384437	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64)))
accuracy	0	(/.f64 #s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z)) y)
accuracy	0	(-.f64 #s(literal 1 binary64) z)
accuracy	0.015625	(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z)) y) x)
accuracy	18.542430225399286	#s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z))
accuracy	0.03515625	(/.f64 y (+.f64 z y))
accuracy	0.078125	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))
accuracy	0.109375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)))
accuracy	9.613126713498104	(pow.f64 (/.f64 y (+.f64 z y)) y)

Samples

162.0ms	94×	1	valid
51.0ms	18×	1	exit
45.0ms	134×	0	valid
5.0ms	10×	0	exit

Compiler

Compiled 343 to 39 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 182.0ms

ival-pow: 48.0ms (26.4% of total)

adjust: 46.0ms (25.3% of total)

ival-add: 25.0ms (13.8% of total)

ival-log: 20.0ms (11% of total)

ival-div: 19.0ms (10.5% of total)

ival-mult: 19.0ms (10.5% of total)

ival-exp: 4.0ms (2.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series89.0ms (1%)

Memory

-8.4MiB live, 201.2MiB allocated

Counts

23 → 624

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	z	@	0	((/ 1 (/ 1 (+ (/ (pow (/ y (+ z y)) y) y) x))) (/ 1 (+ (/ (pow (/ y (+ z y)) y) y) x)) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (- 1 z) (/ (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) y) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (/ (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (/ (pow (/ y (+ z y)) y) y) x) (pow (/ y (+ z y)) y) (/ y (+ z y)) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (exp (* y (log (/ y (+ z y))))) (+ z y))
7.0ms	y	@	inf	((/ 1 (/ 1 (+ (/ (pow (/ y (+ z y)) y) y) x))) (/ 1 (+ (/ (pow (/ y (+ z y)) y) y) x)) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (- 1 z) (/ (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) y) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (/ (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (/ (pow (/ y (+ z y)) y) y) x) (pow (/ y (+ z y)) y) (/ y (+ z y)) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (exp (* y (log (/ y (+ z y))))) (+ z y))
4.0ms	z	@	-inf	((/ 1 (/ 1 (+ (/ (pow (/ y (+ z y)) y) y) x))) (/ 1 (+ (/ (pow (/ y (+ z y)) y) y) x)) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (- 1 z) (/ (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) y) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (/ (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (/ (pow (/ y (+ z y)) y) y) x) (pow (/ y (+ z y)) y) (/ y (+ z y)) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (exp (* y (log (/ y (+ z y))))) (+ z y))
4.0ms	y	@	-inf	((/ 1 (/ 1 (+ (/ (pow (/ y (+ z y)) y) y) x))) (/ 1 (+ (/ (pow (/ y (+ z y)) y) y) x)) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (- 1 z) (/ (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) y) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (/ (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (/ (pow (/ y (+ z y)) y) y) x) (pow (/ y (+ z y)) y) (/ y (+ z y)) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (exp (* y (log (/ y (+ z y))))) (+ z y))
4.0ms	z	@	inf	((/ 1 (/ 1 (+ (/ (pow (/ y (+ z y)) y) y) x))) (/ 1 (+ (/ (pow (/ y (+ z y)) y) y) x)) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (- 1 z) (/ (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) y) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (/ (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (/ (pow (/ y (+ z y)) y) y) x) (pow (/ y (+ z y)) y) (/ y (+ z y)) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (exp (* y (log (/ y (+ z y))))) (+ z y))

simplify281.0ms (3.2%)

Memory

22.7MiB live, 440.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 152×	`lower-fma.f64`
9 152×	`lower-fma.f32`
6 920×	`lower-*.f64`
6 920×	`lower-*.f32`
4 846×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	808	17235
1	2630	15127
0	8262	14474

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 592

Calls

Call 1

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

rewrite237.0ms (2.7%)

Memory

-27.0MiB live, 228.2MiB allocated

Rules

4 680×	`lower-*.f32`
4 674×	`lower-*.f64`
4 144×	`lower-/.f32`
4 126×	`lower-/.f64`
2 994×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	434
0	80	418
1	332	418
2	2535	418
0	8556	408

Stop Event

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

Counts

23 → 617

Calls

Call 1

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

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eval257.0ms (3%)

Memory: 21.3MiB live, 363.2MiB allocated
Compiler: Compiled 40 180 to 4 337 computations (89.2% saved)

prune88.0ms (1%)

Memory

12.9MiB live, 137.7MiB allocated

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	1 407	14	1 421
Fresh	3	3	6
Picked	3	2	5
Done	0	3	3
Total	1 413	22	1 435

Accuracy

100.0%

Counts

1 435 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.5%	(/.f64 (-.f64 (pow.f64 (/.f64 y #s(approx (pow (/ y (+ z y)) y) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64)))) #s(literal -2 binary64)) (.f64 x x)) (-.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y) x))
▶	86.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x)))
	48.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (/ (pow (/ y (+ z y)) y) y) x)) (/.f64 #s(literal 1 binary64) x)))
	59.2%	(+.f64 (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y) x)
✓	68.6%	(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z)) y) x)
	41.9%	(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(approx (- 1 z) (neg.f64 z))) y) x)
✓	85.4%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
	69.3%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y))
▶	69.3%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (fma.f64 (neg.f64 y) z y)) y))) y))
	41.9%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z) z)) y))) y))
	34.6%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (.f64 (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 z z))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z)))) y))
✓	86.1%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
	65.0%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))))))
	79.2%	#s(approx (/ 1 (/ 1 (+ (/ (pow (/ y (+ z y)) y) y) x))) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x))
✓	38.8%	#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
▶	29.3%	#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y))
	23.4%	#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
	28.8%	#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
▶	28.7%	#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 #s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z)) y))
	39.4%	#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 #s(approx (pow (/ y (+ z y)) y) (exp.f64 (neg.f64 z))) y))
▶	20.3%	#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) #s(approx (/ (pow (/ y (+ z y)) y) y) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
✓	41.5%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))

Compiler

Compiled 574 to 447 computations (22.1% saved)

simplify165.0ms (1.9%)

Memory

-8.7MiB live, 164.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ y (+ z y)) (/.f64 y z))
cost-diff	0	(pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y)
cost-diff	0	(/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y)
cost-diff	0	#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y))
cost-diff	0	#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) #s(approx (/ (pow (/ y (+ z y)) y) y) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
cost-diff	320	(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))
cost-diff	320	(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
cost-diff	384	(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y))
cost-diff	0	#s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (fma.f64 (neg.f64 y) z y)) y))
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (fma.f64 (neg.f64 y) z y)) y)))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (fma.f64 (neg.f64 y) z y)) y))) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (fma.f64 (neg.f64 y) z y)) y))) y))
cost-diff	0	(-.f64 #s(literal 1 binary64) z)
cost-diff	0	#s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z))
cost-diff	0	(/.f64 #s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z)) y)
cost-diff	0	#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 #s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z)) y))
cost-diff	0	(/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y)
cost-diff	0	(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x)))

Rules

11 850×	`lower-fma.f32`
11 844×	`lower-fma.f64`
3 046×	`lower-*.f32`
3 044×	`lower-*.f64`
1 550×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	570
0	85	566
1	124	560
2	192	560
3	384	548
4	867	544
5	1662	532
6	3097	529
7	5168	529
8	6763	526
9	7816	526
0	8003	500

Stop Event

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

Calls

Call 1

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

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

localize346.0ms (4%)

Memory

17.0MiB live, 443.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y z)
accuracy	9.613126713498104	(pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y)
accuracy	30.214480855760037	#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y))
accuracy	36.533404011252195	#s(approx (/ y (+ z y)) (/.f64 y z))
accuracy	1.9403274206182484	(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
accuracy	3.661737438152588	(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y))
accuracy	20.979041627648822	#s(approx (/ (pow (/ y (+ z y)) y) y) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))
accuracy	30.214480855760037	#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) #s(approx (/ (pow (/ y (+ z y)) y) y) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
accuracy	0.015625	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (fma.f64 (neg.f64 y) z y)) y))) y))
accuracy	2.586397906102989	(/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (fma.f64 (neg.f64 y) z y)) y)
accuracy	21.176572406384437	#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (fma.f64 (neg.f64 y) z y)) y)))
accuracy	21.404195980899882	#s(approx (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (fma.f64 (neg.f64 y) z y))
accuracy	0	(/.f64 #s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z)) y)
accuracy	0	(-.f64 #s(literal 1 binary64) z)
accuracy	18.542430225399286	#s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z))
accuracy	30.214480855760037	#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 #s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z)) y))
accuracy	0.015625	(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x)
accuracy	0.078125	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x))
accuracy	0.109375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x)))
accuracy	8.773822488067102	#s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64))

Samples

156.0ms	94×	1	valid
53.0ms	134×	0	valid
15.0ms	18×	1	exit
4.0ms	10×	0	exit

Compiler

Compiled 310 to 49 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

ival-pow: 80.0ms (42.3% of total)

ival-div: 29.0ms (15.3% of total)

ival-mult: 25.0ms (13.2% of total)

ival-log: 19.0ms (10.1% of total)

ival-add: 19.0ms (10.1% of total)

adjust: 10.0ms (5.3% of total)

ival-exp: 4.0ms (2.1% of total)

ival-sub: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series183.0ms (2.1%)

Memory

-21.9MiB live, 53.3MiB allocated

Counts

25 → 660

Calls

Call 1

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

9 calls:

Time	Variable		Point	Expression
73.0ms	z	@	-inf	((/ 1 (/ 1 (+ (/ (pow (/ y (+ z y)) y) y) x))) (/ 1 (+ (/ (pow (/ y (+ z y)) y) y) x)) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) (+ (* (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (+ (/ 1/2 (* y y)) (/ 1/2 y)) (+ (/ (pow (/ y (+ z y)) y) y) x) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (pow (/ y (+ z y)) y) (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (/ (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) y) (/ (pow (/ y (+ z y)) y) y) (/ y z))
3.0ms	y	@	-inf	((/ 1 (/ 1 (+ (/ (pow (/ y (+ z y)) y) y) x))) (/ 1 (+ (/ (pow (/ y (+ z y)) y) y) x)) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) (+ (* (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (+ (/ 1/2 (* y y)) (/ 1/2 y)) (+ (/ (pow (/ y (+ z y)) y) y) x) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (pow (/ y (+ z y)) y) (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (/ (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) y) (/ (pow (/ y (+ z y)) y) y) (/ y z))
3.0ms	y	@	inf	((/ 1 (/ 1 (+ (/ (pow (/ y (+ z y)) y) y) x))) (/ 1 (+ (/ (pow (/ y (+ z y)) y) y) x)) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) (+ (* (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (+ (/ 1/2 (* y y)) (/ 1/2 y)) (+ (/ (pow (/ y (+ z y)) y) y) x) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (pow (/ y (+ z y)) y) (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (/ (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) y) (/ (pow (/ y (+ z y)) y) y) (/ y z))
2.0ms	z	@	inf	((/ 1 (/ 1 (+ (/ (pow (/ y (+ z y)) y) y) x))) (/ 1 (+ (/ (pow (/ y (+ z y)) y) y) x)) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) (+ (* (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (+ (/ 1/2 (* y y)) (/ 1/2 y)) (+ (/ (pow (/ y (+ z y)) y) y) x) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (pow (/ y (+ z y)) y) (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (/ (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) y) (/ (pow (/ y (+ z y)) y) y) (/ y z))
2.0ms	z	@	0	((/ 1 (/ 1 (+ (/ (pow (/ y (+ z y)) y) y) x))) (/ 1 (+ (/ (pow (/ y (+ z y)) y) y) x)) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) (+ (* (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (+ (/ 1/2 (* y y)) (/ 1/2 y)) (+ (/ (pow (/ y (+ z y)) y) y) x) (+ (/ (pow (/ y (+ z y)) y) y) x) (/ (pow (/ y (+ z y)) y) y) (pow (/ y (+ z y)) y) (/ y (+ z y)) (pow (/ y (+ z y)) y) (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (/ (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) y) (/ (pow (/ y (+ z y)) y) y) (/ y z))

simplify296.0ms (3.4%)

Memory

16.1MiB live, 219.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 436×	`lower-fma.f64`
9 436×	`lower-fma.f32`
6 824×	`lower-*.f64`
6 824×	`lower-*.f32`
4 984×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	823	18507
1	2666	16246
0	8209	15549

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 634

Calls

Call 1

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

rewrite190.0ms (2.2%)

Memory

-20.9MiB live, 257.1MiB allocated

Rules

4 566×	`lower-/.f32`
4 542×	`lower-/.f64`
3 370×	`lower-*.f32`
3 368×	`lower-*.f64`
3 030×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	530
0	85	520
1	386	520
2	3144	520
0	8697	489

Stop Event

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

Counts

25 → 556

Calls

Call 1

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

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eval280.0ms (3.2%)

Memory: 32.4MiB live, 422.6MiB allocated
Compiler: Compiled 30 262 to 3 576 computations (88.2% saved)

prune51.0ms (0.6%)

Memory

12.7MiB live, 171.1MiB allocated

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	1 183	7	1 190
Fresh	4	8	12
Picked	2	3	5
Done	0	5	5
Total	1 189	23	1 212

Accuracy

100.0%

Counts

1 212 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.5%	(/.f64 (-.f64 (pow.f64 (/.f64 y #s(approx (pow (/ y (+ z y)) y) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (fma.f64 (neg.f64 y) z y)) y)))) #s(literal -2 binary64)) (.f64 x x)) (-.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(approx (+ ( (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (fma.f64 (neg.f64 y) z y)) y))) y) x))
✓	86.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x)))
	48.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (/ (pow (/ y (+ z y)) y) y) x)) (/.f64 #s(literal 1 binary64) x)))
	59.2%	(+.f64 (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y) x)
✓	68.6%	(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z)) y) x)
	41.9%	(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(approx (- 1 z) (neg.f64 z))) y) x)
✓	85.4%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
✓	69.3%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (fma.f64 (neg.f64 y) z y)) y))) y))
	41.9%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z) z)) y))) y))
	34.6%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (.f64 (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 z z))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z)))) y))
✓	86.1%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
	65.0%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))))))
	79.2%	#s(approx (/ 1 (/ 1 (+ (/ (pow (/ y (+ z y)) y) y) x))) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x))
✓	38.8%	#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
✓	29.3%	#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y))
	23.4%	#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 #s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
	39.4%	#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 #s(approx (pow (/ y (+ z y)) y) (exp.f64 (neg.f64 z))) y))
	3.3%	#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(approx (- 1 z) (neg.f64 z))) y))
	28.7%	#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (*.f64 (neg.f64 #s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y)))
	29.9%	#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) #s(approx (/ (pow (/ y (+ z y)) y) y) (fma.f64 #s(approx (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z (/.f64 #s(literal 1 binary64) y))))
	18.6%	#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) #s(approx (/ (pow (/ y (+ z y)) y) y) #s(approx (+ (* (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)))))
	31.7%	#s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) #s(approx (/ (pow (/ y (+ z y)) y) y) #s(approx (+ (* (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))))
✓	41.5%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))

Compiler

Compiled 1 022 to 476 computations (53.4% saved)

regimes73.0ms (0.8%)

Memory

-4.7MiB live, 186.5MiB allocated

Counts

43 → 3

Calls

Call 1

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

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))))) #s(literal 1 binary64)) y))

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

Calls

5 calls:

16.0ms	y
14.0ms	x
14.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
13.0ms	z
12.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))

Results

Accuracy	Segments	Branch
89.5%	2	`x`
99.4%	3	`y`
92.2%	3	`z`
90.7%	3	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
93.7%	3	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`

Compiler

Compiled 27 to 28 computations (-3.7% saved)

regimes30.0ms (0.3%)

Memory

-1.5MiB live, 71.9MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

10.0ms	y
10.0ms	z
8.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)

Results

Accuracy	Segments	Branch
92.2%	3	`z`
86.1%	1	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
88.1%	2	`y`

Compiler

Compiled 13 to 15 computations (-15.4% saved)

regimes47.0ms (0.5%)

Memory

-2.3MiB live, 87.4MiB allocated

Counts

27 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

10.0ms	y
8.0ms	x
8.0ms	z
8.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))

Results

Accuracy	Segments	Branch
88.1%	2	`y`
86.1%	1	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
86.1%	1	`x`
86.1%	1	`z`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes16.0ms (0.2%)

Memory

18.2MiB live, 55.8MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	y
6.0ms	z

Results

Accuracy	Segments	Branch
86.1%	1	`z`
86.1%	1	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes15.0ms (0.2%)

Memory

6.6MiB live, 40.5MiB allocated

Accuracy

Total -24.7b remaining (-66.1%)

Threshold costs -24.7b (-66.1%)

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

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

7.0ms	z
2.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
2.0ms	y
2.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
2.0ms	x

Results

Accuracy	Segments	Branch
41.5%	1	`x`
41.5%	1	`y`
41.5%	1	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
41.5%	1	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
41.5%	1	`z`

Compiler

Compiled 27 to 28 computations (-3.7% saved)

bsearch60.0ms (0.7%)

Memory

-36.4MiB live, 123.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.004855574391182e-11	2.311950499208663e-9
37.0ms	-1.2261205099963825e+35	-1.2013979368814484e+30

Samples

17.0ms	43×	1	valid
17.0ms	213×	0	valid
9.0ms	68×	0	invalid

Compiler

Compiled 240 to 288 computations (-20% saved)

Precisions

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

ival-log: 14.0ms (44.2% of total)

ival-add: 6.0ms (19% of total)

ival-div: 5.0ms (15.8% of total)

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

ival-mult: 2.0ms (6.3% of total)

adjust: 1.0ms (3.2% of total)

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

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

bsearch99.0ms (1.1%)

Memory

23.4MiB live, 141.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
52.0ms	-8.647725790950515e+20	-1563818.7085125751
41.0ms	-5.809421968145887e+138	-1.3216962760422774e+131

Samples

57.0ms	155×	1	valid
12.0ms	149×	0	valid
8.0ms	118×	0	invalid

Compiler

Compiled 263 to 339 computations (-28.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-log: 38.0ms (59% of total)

ival-div: 8.0ms (12.4% of total)

ival-exp: 6.0ms (9.3% of total)

ival-add: 6.0ms (9.3% of total)

ival-mult: 4.0ms (6.2% of total)

adjust: 3.0ms (4.7% of total)

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

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

bsearch33.0ms (0.4%)

Memory

-1.2MiB live, 36.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	4.458969278362437e+195	2.836237672506217e+196

Samples

23.0ms	57×	1	valid
3.0ms	39×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 184 to 166 computations (9.8% saved)

Precisions

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

ival-div: 9.0ms (38.6% of total)

ival-log: 9.0ms (38.6% of total)

ival-add: 2.0ms (8.6% of total)

ival-exp: 2.0ms (8.6% of total)

adjust: 1.0ms (4.3% of total)

ival-mult: 1.0ms (4.3% of total)

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

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

simplify29.0ms (0.3%)

Memory

-15.3MiB live, 66.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative-binary64-+.f64`
4×	`-commutative-binary64-.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`
2×	`neg-sub0-binary64--.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	213
1	70	213
2	72	213
3	73	213

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -1219999999999999962334747426816 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 2780529385113647/1208925819614629174706176 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #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 -5800000000000000190481062437388571258124672884885747833971417872300732640012970374155207630640818993566907127749070126356161245678426652672 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (if (<=.f64 z #s(literal -1600000 binary64)) #s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 #s(approx (pow (/ y (+ z y)) y) (exp.f64 (neg.f64 z))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))))
(if (<=.f64 y #s(literal 17199999999999999242654941757104286302077513267063515743331448936635178164763076389051883397634588120319046750821553687299908727816966071767236487301431007027022527128281564742560482913784218779648 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 (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))) y))) 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 -1219999999999999962334747426816 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 2780529385113647/1208925819614629174706176 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))))
(if (<=.f64 y #s(literal -1219999999999999962334747426816 binary64)) (+.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (if (<=.f64 y #s(literal 2780529385113647/1208925819614629174706176 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (+.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x)))
(if (<=.f64 z #s(literal -5800000000000000190481062437388571258124672884885747833971417872300732640012970374155207630640818993566907127749070126356161245678426652672 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (if (<=.f64 z #s(literal -1600000 binary64)) #s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 #s(approx (pow (/ y (+ z y)) y) (exp.f64 (neg.f64 z))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))))
(if (<=.f64 z #s(literal -5800000000000000190481062437388571258124672884885747833971417872300732640012970374155207630640818993566907127749070126356161245678426652672 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (if (<=.f64 z #s(literal -1600000 binary64)) #s(approx (+ (/ (pow (/ y (+ z y)) y) y) x) (/.f64 #s(approx (pow (/ y (+ z y)) y) (exp.f64 (neg.f64 z))) y)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x)))
(if (<=.f64 y #s(literal 17199999999999999242654941757104286302077513267063515743331448936635178164763076389051883397634588120319046750821553687299908727816966071767236487301431007027022527128281564742560482913784218779648 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 (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))) y))) y)))
(if (<=.f64 y #s(literal 17199999999999999242654941757104286302077513267063515743331448936635178164763076389051883397634588120319046750821553687299908727816966071767236487301431007027022527128281564742560482913784218779648 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))) y))) y) x))
(+.f64 x (/.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)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))

soundness637.0ms (7.3%)

Memory

22.5MiB live, 433.4MiB allocated

Rules

9 370×	`lower-fma.f64`
9 370×	`lower-fma.f32`
9 268×	`lower-fma.f64`
9 268×	`lower-fma.f32`
9 152×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	572	13564
1	1757	11675
2	5850	11317
0	8115	10767
0	10	52
0	17	52
1	64	46
2	458	46
3	6457	46
0	8028	46
0	603	4112
1	1814	3486
2	6083	3379
0	8215	3225
0	808	17235
1	2630	15127
0	8262	14474

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

Compiler

Compiled 190 to 120 computations (36.8% saved)

preprocess105.0ms (1.2%)

Memory: 0.9MiB live, 116.1MiB allocated
Compiler: Compiled 282 to 150 computations (46.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze294.0ms (3.4%)

sample1.9s (21.8%)

explain252.0ms (2.9%)

preprocess230.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0%)

localize118.0ms (1.4%)

series39.0ms (0.5%)

simplify199.0ms (2.3%)

rewrite199.0ms (2.3%)

eval108.0ms (1.2%)

prune32.0ms (0.4%)

simplify235.0ms (2.7%)

localize281.0ms (3.2%)

series57.0ms (0.7%)

simplify249.0ms (2.9%)

rewrite190.0ms (2.2%)

eval179.0ms (2.1%)

prune34.0ms (0.4%)

simplify168.0ms (1.9%)

localize315.0ms (3.6%)

series89.0ms (1%)

simplify281.0ms (3.2%)

rewrite237.0ms (2.7%)

eval257.0ms (3%)

prune88.0ms (1%)

simplify165.0ms (1.9%)

localize346.0ms (4%)

series183.0ms (2.1%)

simplify296.0ms (3.4%)

rewrite190.0ms (2.2%)

eval280.0ms (3.2%)

prune51.0ms (0.6%)

regimes73.0ms (0.8%)

regimes30.0ms (0.3%)

regimes47.0ms (0.5%)

regimes16.0ms (0.2%)

regimes15.0ms (0.2%)

bsearch60.0ms (0.7%)

bsearch99.0ms (1.1%)

bsearch33.0ms (0.4%)

simplify29.0ms (0.3%)

soundness637.0ms (7.3%)

preprocess105.0ms (1.2%)

end0.0ms (0%)

Profiling