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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze290.0ms (3%)

Memory

-13.8MiB live, 303.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
6.7%	6.2%	87.4%	0.1%	0%	6.2%	0%	7
6.7%	6.2%	87.4%	0.1%	0%	6.2%	0%	8
20.7%	18.7%	71.8%	0.1%	0%	9.4%	0%	9
34.5%	29.6%	56.2%	0.1%	0%	14%	0%	10
34.5%	29.6%	56.2%	0.1%	0%	14%	0%	11
50.5%	42.1%	41.3%	0.1%	0%	16.4%	0%	12

Compiler

Compiled 15 to 12 computations (20% saved)

sample2.3s (23.4%)

Memory

-165.1MiB live, 2 550.8MiB allocated

Samples

959.0ms	5 984×	0	valid
890.0ms	2 272×	1	valid
77.0ms	923×	0	invalid
2.0ms	16×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-log: 604.0ms (39.1% of total)

ival-add: 423.0ms (27.4% of total)

ival-div: 248.0ms (16.1% of total)

ival-exp: 128.0ms (8.3% of total)

ival-mult: 78.0ms (5.1% of total)

adjust: 48.0ms (3.1% of total)

ival-true: 8.0ms (0.5% of total)

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

Bogosity

explain249.0ms (2.6%)

Memory

16.1MiB live, 338.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
151	45	(2.287579146343784e-75 4.896879127053244e+125 2.0486299356206985e-257)	2	(7.300165105931176e-239 -3.5937186924265835e-87 -8.164659659025966e+235)	`(log.f64 (/.f64 y (+.f64 z y)))`
46	0	-	2	(-2.4229048404020923e+131 9.294520750040147e+203 4.716404108498292e-118)	`(*.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	0
`log.f64`	`(log.f64 (/.f64 y (+.f64 z y)))`	uflow-rescue	21	0
↳	`(log.f64 (/.f64 y (+.f64 z y)))`	underflow	44
↳	`(/.f64 y (+.f64 z y))`	underflow	24
`*.f64`	`(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))`	*nu**	13	0

Confusion

	Predicted +	Predicted -
+	44	3
-	147	62

Precision

0.23036649214659685

Recall

0.9361702127659575

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	44	0	3
-	147	0	62

Precision?

0.23036649214659685

Recall?

0.9361702127659575

Freqs

test

number	freq
0	65
1	178
2	13

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

102.0ms	280×	1	valid
23.0ms	48×	2	valid
23.0ms	184×	0	valid

Compiler

Compiled 133 to 34 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-log: 57.0ms (46.5% of total)

ival-div: 16.0ms (13.1% of total)

ival-add: 16.0ms (13.1% of total)

adjust: 13.0ms (10.6% of total)

ival-mult: 10.0ms (8.2% of total)

ival-exp: 9.0ms (7.3% of total)

ival-true: 1.0ms (0.8% of total)

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

preprocess235.0ms (2.4%)

Memory

-0.9MiB live, 36.0MiB 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

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.6%	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify3.0ms (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

localize78.0ms (0.8%)

Memory

18.1MiB live, 92.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
accuracy	0.01171875	(/.f64 y (+.f64 z y))
accuracy	10.838071629986734	(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
accuracy	34.84658548806059	(log.f64 (/.f64 y (+.f64 z y)))

Samples

49.0ms	140×	1	valid
12.0ms	24×	2	valid
8.0ms	92×	0	valid

Compiler

Compiled 60 to 12 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-log: 24.0ms (46.8% of total)

ival-div: 12.0ms (23.4% of total)

ival-add: 5.0ms (9.7% of total)

adjust: 4.0ms (7.8% of total)

ival-exp: 4.0ms (7.8% of total)

ival-mult: 3.0ms (5.8% of total)

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

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

series51.0ms (0.5%)

Memory

-23.2MiB live, 60.7MiB 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>) () ())) ())
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#s(alt (+ x (/ (pow (/ y (+ y z)) y) y)) (taylor 0 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 (* 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
17.0ms	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)))
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)))
4.0ms	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)))
4.0ms	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)))

simplify153.0ms (1.6%)

Memory

27.9MiB live, 186.9MiB 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)
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(-.f64 #s(literal 1 binary64) z)
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(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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1
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(/ (exp (* -1 z)) y)
(/.f64 (exp.f64 (neg.f64 z)) y)
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)
(/.f64 (fma.f64 (.f64 (exp.f64 (neg.f64 z)) (.f64 z z)) (/.f64 #s(literal 1/2 binary64) y) (exp.f64 (neg.f64 z))) y)
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(* -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))
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(* -1 (/ z y))
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(/ (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y)
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(/ (+ (* -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)
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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)))
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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)))
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(/ (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))
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(* -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))
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(* -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)))
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(* -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)))

rewrite129.0ms (1.3%)

Memory

-29.7MiB live, 167.6MiB allocated

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Counts

6 → 332

Calls

Call 1

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

Outputs
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eval72.0ms (0.7%)

Memory: 34.7MiB live, 112.4MiB allocated
Compiler: Compiled 12 636 to 2 389 computations (81.1% saved)

prune30.0ms (0.3%)

Memory

-3.8MiB live, 32.5MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	476	8	484
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	477	8	485

Accuracy

100.0%

Counts

485 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.7%	(+.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))
▶	64.8%	(+.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))
	64.8%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
▶	84.0%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
	52.5%	(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) 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))))
▶	41.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
▶	43.1%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))

Compiler

Compiled 208 to 172 computations (17.3% saved)

simplify154.0ms (1.6%)

Memory

18.0MiB live, 168.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y (+.f64 y z))
cost-diff	0	(pow.f64 (/.f64 y (+.f64 y z)) y)
cost-diff	0	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
cost-diff	0	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
cost-diff	0	#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)))
cost-diff	0	(/.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)
cost-diff	0	(+.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))
cost-diff	640	(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)))
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

19 628×	`lower-fma.f32`
19 618×	`lower-fma.f64`
3 392×	`lower-+.f32`
3 378×	`lower-+.f64`
2 246×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	434
0	71	434
1	104	412
2	182	412
3	657	412
4	2291	412
5	5683	412
0	8093	400

Stop Event

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

Calls

Call 1

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

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

localize225.0ms (2.3%)

Memory

-36.9MiB live, 212.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
accuracy	0.01171875	(/.f64 y (+.f64 y z))
accuracy	15.232222902041281	(pow.f64 (/.f64 y (+.f64 y z)) y)
accuracy	28.15764555895621	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
accuracy	0.5341474451419272	(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
accuracy	1.00241959132778	(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))
accuracy	4.825840354021576	(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)))
accuracy	24.483399444228542	#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)))
accuracy	0.00390625	(+.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	0.01953125	(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	0.0625	(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64))
accuracy	24.472948237401475	#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	36.41068213370208	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
accuracy	0.00390625	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
accuracy	0.00390625	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
accuracy	14.927498426999504	#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))

Samples

140.0ms	122×	1	valid
38.0ms	134×	0	valid

Compiler

Compiled 311 to 39 computations (87.5% saved)

Precisions

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

ival-log: 19.0ms (17.4% of total)

ival-div: 18.0ms (16.5% of total)

ival-add: 18.0ms (16.5% of total)

ival-mult: 15.0ms (13.8% of total)

ival-pow: 15.0ms (13.8% of total)

adjust: 9.0ms (8.3% of total)

const: 8.0ms (7.3% of total)

ival-exp: 4.0ms (3.7% of total)

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

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

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

exact: 0.0ms (0% of total)

series77.0ms (0.8%)

Memory

-10.5MiB live, 69.5MiB 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>) () ())
#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 (/.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 #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 #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<representation binary64>) () ())
#s(alt (+.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)) (patch (+.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)) #<representation binary64>) () ())
#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) (patch #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) (patch (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 y (+.f64 y z)) y) (patch (pow.f64 (/.f64 y (+.f64 y z)) y) #<representation binary64>) () ())
#s(alt (/.f64 y (+.f64 y z)) (patch (/.f64 y (+.f64 y z)) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) (patch (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (patch (/.f64 #s(literal 1/3 binary64) (.f64 y y)) #<representation binary64>) () ())

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	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) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ 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)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (/ y (+ y z)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ 1/3 (* y y)))
6.0ms	y	@	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) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ 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)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (/ y (+ y z)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ 1/3 (* y y)))
3.0ms	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) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ 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)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (/ y (+ y z)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ 1/3 (* y y)))
3.0ms	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) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ 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)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (/ y (+ y z)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ 1/3 (* y 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) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ 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)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (/ y (+ y z)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ 1/3 (* y y)))

simplify195.0ms (2%)

Memory

47.2MiB live, 231.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 732×	`lower-fma.f64`
8 732×	`lower-fma.f32`
5 412×	`lower-*.f64`
5 412×	`lower-*.f32`
3 692×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	562	13926
1	1758	12099
2	5803	11745
0	8115	11147

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 496

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

rewrite161.0ms (1.6%)

Memory

-12.0MiB live, 139.5MiB allocated

Rules

4 372×	`lower-/.f32`
4 356×	`lower-/.f64`
3 144×	`lower-*.f32`
3 142×	`lower-*.f64`
2 564×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	348
0	71	326
1	331	326
2	2865	326
0	8169	321

Stop Event

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

Counts

20 → 434

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

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eval186.0ms (1.9%)

Memory: -5.1MiB live, 296.3MiB allocated
Compiler: Compiled 26 680 to 2 762 computations (89.6% saved)

prune92.0ms (0.9%)

Memory

12.5MiB live, 91.6MiB allocated

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	916	14	930
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	921	17	938

Accuracy

100.0%

Counts

938 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.7%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
	69.2%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
▶	47.5%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
	67.7%	(+.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))
	44.4%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) y))
▶	56.4%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) z #s(literal 1 binary64))) y))
	63.4%	(+.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))
▶	39.2%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (.f64 (.f64 z (/.f64 z y)) #s(literal 1/2 binary64)))) y))
✓	84.0%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
	14.5%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
	29.3%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ y z)) (/.f64 y z)) y) y))
	24.5%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.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))
	31.0%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ 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))
▶	29.1%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z)) y))
	41.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (exp.f64 (neg.f64 z))) y))
✓	43.1%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
	19.0%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (/ (pow (/ y (+ y z)) y) 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))))

Compiler

Compiled 520 to 423 computations (18.7% saved)

simplify268.0ms (2.7%)

Memory

-5.6MiB live, 230.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) 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 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) 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 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) 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 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) z #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) z #s(literal 1 binary64))) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) z #s(literal 1 binary64))) y))
cost-diff	128	(.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))
cost-diff	0	#s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (.f64 (.f64 z (/.f64 z y)) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (.f64 (.f64 z (/.f64 z y)) #s(literal 1/2 binary64))))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (.f64 (.f64 z (/.f64 z y)) #s(literal 1/2 binary64)))) 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 (.f64 z (/.f64 z y)) #s(literal 1/2 binary64)))) y))
cost-diff	0	(-.f64 #s(literal 1 binary64) z)
cost-diff	0	#s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z))
cost-diff	0	(/.f64 #s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z)) y)
cost-diff	0	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z)) y))
cost-diff	0	#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))
cost-diff	0	(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
cost-diff	0	(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)
cost-diff	0	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))

Rules

32 656×	`lower-fma.f32`
32 642×	`lower-fma.f64`
3 348×	`lower-*.f32`
3 336×	`lower-*.f64`
3 298×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	942
0	117	942
1	181	911
2	316	911
3	1001	911
4	2809	911
5	4971	900
6	7427	900
0	8049	870

Stop Event

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

Calls

Call 1

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

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

localize527.0ms (5.4%)

Memory

8.5MiB live, 550.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.00241959132778	(fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64))
accuracy	5.684679305115007	(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)
accuracy	16.334415553865963	(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y)
accuracy	24.483399444228542	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64)))
accuracy	0.5341474451419272	(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
accuracy	8.218926973334915	(.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))
accuracy	24.483399444228542	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) z #s(literal 1 binary64)))
accuracy	31.732958912062667	#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z)))
accuracy	0.0234375	(.f64 (.f64 z (/.f64 z y)) #s(literal 1/2 binary64))
accuracy	0.125	(*.f64 z (/.f64 z y))
accuracy	24.472948237401475	#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (.f64 (.f64 z (/.f64 z y)) #s(literal 1/2 binary64))))
accuracy	48.11787784550958	#s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (.f64 (.f64 z (/.f64 z y)) #s(literal 1/2 binary64)))
accuracy	0	(-.f64 #s(literal 1 binary64) z)
accuracy	0.00390625	(/.f64 #s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z)) y)
accuracy	25.64796229214979	#s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z))
accuracy	28.15764555895621	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z)) y))
accuracy	0	(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
accuracy	0.00390625	(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)
accuracy	0.00390625	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
accuracy	20.748658599264047	#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))

Samples

222.0ms	140×	1	valid
131.0ms	24×	2	valid
85.0ms	92×	0	valid

Compiler

Compiled 492 to 60 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 264.0ms

ival-add: 64.0ms (24.3% of total)

ival-mult: 58.0ms (22% of total)

ival-pow: 44.0ms (16.7% of total)

ival-log: 27.0ms (10.2% of total)

ival-div: 23.0ms (8.7% of total)

adjust: 21.0ms (8% of total)

const: 16.0ms (6.1% of total)

ival-exp: 5.0ms (1.9% of total)

ival-sub: 3.0ms (1.1% of total)

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

series133.0ms (1.4%)

Memory

-38.0MiB live, 224.1MiB allocated

Counts

27 → 684

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	z	@	inf	((+ 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)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) 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) (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (+ 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)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (* z (/ z y)) (* (* z (/ z y)) 1/2) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ 1/3 (* y y)) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1))
7.0ms	y	@	-inf	((+ 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)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) 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) (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (+ 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)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (* z (/ z y)) (* (* z (/ z y)) 1/2) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ 1/3 (* y y)) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1))
5.0ms	z	@	-inf	((+ 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)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) 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) (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (+ 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)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (* z (/ z y)) (* (* z (/ z y)) 1/2) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ 1/3 (* y y)) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1))
4.0ms	z	@	0	((+ 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)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) 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) (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (+ 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)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (* z (/ z y)) (* (* z (/ z y)) 1/2) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ 1/3 (* y y)) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1))
3.0ms	y	@	inf	((+ 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)))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) 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) (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (+ 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)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (* z (/ z y)) (* (* z (/ z y)) 1/2) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ 1/3 (* y y)) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/ (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) y) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1))

simplify348.0ms (3.6%)

Memory

26.4MiB live, 296.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 888×	`lower-fma.f64`
9 888×	`lower-fma.f32`
5 518×	`lower-*.f64`
5 518×	`lower-*.f32`
4 946×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	691	18035
1	2146	15741
2	7611	15576
0	8114	14753

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 664

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

rewrite211.0ms (2.2%)

Memory

11.8MiB live, 274.5MiB allocated

Rules

4 634×	`lower-*.f32`
4 622×	`lower-*.f64`
3 866×	`lower-fma.f32`
3 852×	`lower-fma.f64`
3 714×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	763
0	117	743
1	526	734
2	4670	734
0	9165	708

Stop Event

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

Counts

27 → 331

Calls

Call 1

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

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eval225.0ms (2.3%)

Memory: 14.2MiB live, 363.8MiB allocated
Compiler: Compiled 29 184 to 2 789 computations (90.4% saved)

prune120.0ms (1.2%)

Memory

-5.0MiB live, 147.6MiB allocated

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	987	8	995
Fresh	2	8	10
Picked	1	4	5
Done	0	2	2
Total	990	22	1 012

Accuracy

100.0%

Counts

1 012 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	82.7%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
▶	47.5%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
	69.2%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y)) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
	67.7%	(+.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))
✓	56.4%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) z #s(literal 1 binary64))) y))
	47.9%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (/.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) z) z (.f64 (.f64 (.f64 z z) (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))) y)) (*.f64 y y)))) z #s(literal 1 binary64))) y))
▶	69.5%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (.f64 (.f64 #s(literal -1/6 binary64) z) z))) z #s(literal 1 binary64))) y))
	63.4%	(+.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))
✓	39.2%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (.f64 (.f64 z (/.f64 z y)) #s(literal 1/2 binary64)))) y))
✓	84.0%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
▶	14.5%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
	29.3%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ y z)) (/.f64 y z)) y) y))
	24.5%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.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))
▶	31.0%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ 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))
	33.5%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z))) y))
	33.5%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (*.f64 z z))))) y))
✓	29.1%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z)) y))
	41.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (exp.f64 (neg.f64 z))) y))
▶	3.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) #s(approx (- 1 z) (neg.f64 z))) y))
	29.1%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)))))
✓	43.1%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
	19.0%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (/ (pow (/ y (+ y z)) y) 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))))

Compiler

Compiled 574 to 479 computations (16.6% saved)

simplify230.0ms (2.4%)

Memory

-40.1MiB live, 235.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

20 548×	`lower-fma.f32`
20 534×	`lower-fma.f64`
3 360×	`lower-+.f32`
3 354×	`lower-+.f64`
2 640×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	1024
0	113	1024
1	178	995
2	321	995
3	1056	987
4	3031	987
5	5167	987
6	7847	987
0	8305	930

Stop Event

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

Calls

Call 1

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

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

localize345.0ms (3.5%)

Memory

54.1MiB live, 517.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	30.580759319541865	(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
accuracy	48.38864654985148	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
accuracy	6.00156961421137	(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z)
accuracy	10.667693065035847	(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)
accuracy	24.483399444228542	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y)) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64)))
accuracy	31.94045359436034	#s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) y))
accuracy	0.01953125	(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	0.0625	(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64))
accuracy	24.472948237401475	#s(approx (pow (/ y (+ 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	28.15764555895621	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ 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	0.00390625	(/.f64 #s(approx (pow (/ y (+ y z)) y) #s(approx (- 1 z) (neg.f64 z))) y)
accuracy	25.64796229214979	#s(approx (pow (/ y (+ y z)) y) #s(approx (- 1 z) (neg.f64 z)))
accuracy	28.15764555895621	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) #s(approx (- 1 z) (neg.f64 z))) y))
accuracy	37.086328968951875	#s(approx (- 1 z) (neg.f64 z))
accuracy	0.5065509350163684	(fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (.f64 (.f64 #s(literal -1/6 binary64) z) z))) z #s(literal 1 binary64))
accuracy	17.415311989825888	#s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (.f64 (.f64 #s(literal -1/6 binary64) z) z))
accuracy	24.483399444228542	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (.f64 (.f64 #s(literal -1/6 binary64) z) z))) z #s(literal 1 binary64)))
accuracy	31.732958912062667	#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (.f64 (.f64 #s(literal -1/6 binary64) z) z)))

Samples

189.0ms	122×	1	valid
107.0ms	134×	0	valid

Compiler

Compiled 433 to 65 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 260.0ms

ival-mult: 95.0ms (36.5% of total)

ival-add: 41.0ms (15.8% of total)

ival-pow: 29.0ms (11.2% of total)

ival-div: 22.0ms (8.5% of total)

ival-log: 19.0ms (7.3% of total)

adjust: 16.0ms (6.2% of total)

const: 16.0ms (6.2% of total)

ival-sub: 15.0ms (5.8% of total)

ival-exp: 4.0ms (1.5% of total)

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

series111.0ms (1.1%)

Memory

-31.9MiB live, 177.6MiB allocated

Counts

25 → 624

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
37.0ms	y	@	0	((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ 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))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (* y y) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/ (* (+ (* (+ (* -1/6 y) -1/2) y) -1/3) z) y) (* (+ (* (+ (* -1/6 y) -1/2) y) -1/3) z))
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))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ 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))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (* y y) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/ (* (+ (* (+ (* -1/6 y) -1/2) y) -1/3) z) y) (* (+ (* (+ (* -1/6 y) -1/2) y) -1/3) z))
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))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ 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))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (* y y) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/ (* (+ (* (+ (* -1/6 y) -1/2) y) -1/3) z) y) (* (+ (* (+ (* -1/6 y) -1/2) y) -1/3) z))
3.0ms	z	@	0	((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ 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))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (* y y) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/ (* (+ (* (+ (* -1/6 y) -1/2) y) -1/3) z) y) (* (+ (* (+ (* -1/6 y) -1/2) y) -1/3) z))
3.0ms	y	@	inf	((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ 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))))) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (* y y) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/ (* (+ (* (+ (* -1/6 y) -1/2) y) -1/3) z) y) (* (+ (* (+ (* -1/6 y) -1/2) y) -1/3) z))

simplify250.0ms (2.6%)

Memory

34.8MiB live, 264.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 162×	`lower-fma.f64`
12 162×	`lower-fma.f32`
6 734×	`lower-*.f64`
6 734×	`lower-*.f32`
4 274×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	619	15826
1	1954	13952
2	6854	13822
0	8016	13031

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 604

Calls

Call 1

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

rewrite404.0ms (4.1%)

Memory

-11.1MiB live, 214.1MiB allocated

Rules

4 558×	`lower-*.f32`
4 550×	`lower-*.f64`
3 912×	`lower-fma.f32`
3 898×	`lower-fma.f64`
3 640×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	823
0	113	805
1	536	792
2	4590	792
0	8993	752

Stop Event

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

Counts

25 → 265

Calls

Call 1

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

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eval322.0ms (3.3%)

Memory: 18.1MiB live, 263.3MiB allocated
Compiler: Compiled 23 723 to 2 425 computations (89.8% saved)

prune70.0ms (0.7%)

Memory

-29.1MiB live, 127.7MiB allocated

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	863	6	869
Fresh	6	5	11
Picked	2	3	5
Done	1	5	6
Total	872	19	891

Accuracy

100.0%

Counts

891 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	82.7%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
	62.6%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 #s(approx (* (+ (* (+ (* -1/6 y) -1/2) y) -1/3) z) (.f64 (.f64 (*.f64 z y) y) #s(literal -1/6 binary64))) y)) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
	69.2%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) #s(approx (/ (* (+ (* (+ (* -1/6 y) -1/2) y) -1/3) z) y) (.f64 (.f64 #s(literal -1/6 binary64) z) y))) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
	47.9%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (/.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) z) z (.f64 (.f64 (.f64 z z) (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))) y)) (*.f64 y y)))) z #s(literal 1 binary64))) y))
✓	69.5%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (.f64 (.f64 #s(literal -1/6 binary64) z) z))) z #s(literal 1 binary64))) y))
✓	39.2%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (.f64 (.f64 z (/.f64 z y)) #s(literal 1/2 binary64)))) y))
✓	84.0%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
	69.5%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (.f64 (.f64 #s(literal -1/6 binary64) z) z))) z #s(literal 1 binary64))))))
✓	14.5%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
	29.3%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ y z)) (/.f64 y z)) y) y))
	24.5%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.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))
	33.9%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ 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))
✓	29.1%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z)) y))
	41.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (exp.f64 (neg.f64 z))) y))
✓	3.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) #s(approx (- 1 z) (neg.f64 z))) y))
	31.1%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ 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))
✓	43.1%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
	2.3%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
	19.0%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (/ (pow (/ y (+ y z)) y) 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))))

Compiler

Compiled 861 to 463 computations (46.2% saved)

regimes64.0ms (0.7%)

Memory

33.8MiB live, 149.7MiB allocated

Counts

37 → 3

Calls

Call 1

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

Outputs

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

(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #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	x
12.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
12.0ms	z
10.0ms	y
10.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)

Results

Accuracy	Segments	Branch
88.6%	2	`x`
99.3%	3	`y`
88.6%	2	`z`
89.8%	3	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
91.5%	3	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`

Compiler

Compiled 27 to 28 computations (-3.7% saved)

regimes44.0ms (0.5%)

Memory

-2.5MiB live, 111.0MiB allocated

Counts

33 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

11.0ms	z
11.0ms	y
11.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
9.0ms	x

Results

Accuracy	Segments	Branch
88.6%	2	`z`
84.0%	1	`x`
84.0%	1	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
90.0%	3	`y`

Compiler

Compiled 14 to 18 computations (-28.6% saved)

regimes34.0ms (0.3%)

Memory

-10.2MiB live, 36.8MiB allocated

Counts

32 → 3

Calls

Call 1

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

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

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

Calls

2 calls:

22.0ms	z
9.0ms	y

Results

Accuracy	Segments	Branch
90.0%	3	`y`
86.7%	2	`z`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes20.0ms (0.2%)

Memory

1.7MiB live, 37.9MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

11.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
7.0ms	y

Results

Accuracy	Segments	Branch
84.0%	1	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
88.1%	2	`y`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes4.0ms (0%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

(+.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(literal 1 binary64)) y))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
87.0%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.1%)

Memory

-0.1MiB live, 37.7MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
84.0%	1	`x`
84.0%	1	`z`
84.0%	1	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes16.0ms (0.2%)

Memory

15.7MiB live, 48.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
43.1%	1	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
43.1%	1	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
43.1%	1	`x`
43.1%	1	`y`
43.1%	1	`z`

Compiler

Compiled 27 to 28 computations (-3.7% saved)

regimes14.0ms (0.1%)

Memory

-13.0MiB live, 28.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
1.0ms	y
1.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
2.3%	1	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
2.3%	1	`z`
2.3%	1	`y`
2.3%	1	`x`
2.3%	1	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`

Compiler

Compiled 27 to 28 computations (-3.7% saved)

bsearch50.0ms (0.5%)

Memory

6.2MiB live, 162.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	4.3024080750438587e-7	0.0018882333794524005
23.0ms	-8.558526431008837e+27	-1.7558259504274655e+27

Samples

21.0ms	183×	0	valid
11.0ms	41×	1	valid
3.0ms	43×	0	invalid

Compiler

Compiled 212 to 254 computations (-19.8% saved)

Precisions

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

ival-add: 8.0ms (30.4% of total)

ival-log: 7.0ms (26.6% of total)

ival-div: 4.0ms (15.2% of total)

ival-exp: 3.0ms (11.4% of total)

ival-mult: 3.0ms (11.4% of total)

adjust: 1.0ms (3.8% of total)

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

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

bsearch70.0ms (0.7%)

Memory

-7.1MiB live, 107.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
67.0ms	-9992750654528.902	-68711261.38740163

Samples

52.0ms	99×	1	valid
5.0ms	45×	0	valid
3.0ms	40×	0	invalid

Compiler

Compiled 133 to 169 computations (-27.1% saved)

Precisions

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

ival-mult: 26.0ms (49.8% of total)

ival-log: 13.0ms (24.9% of total)

ival-div: 4.0ms (7.7% of total)

ival-exp: 4.0ms (7.7% of total)

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

adjust: 2.0ms (3.8% of total)

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

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

bsearch65.0ms (0.7%)

Memory

8.0MiB live, 119.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-8.558526431008837e+27	-1.7558259504274655e+27
62.0ms	-8.169169801268354e+194	-2.740091517533133e+191

Samples

50.0ms	68×	1	valid
5.0ms	60×	0	valid
1.0ms	10×	0	invalid

Compiler

Compiled 450 to 408 computations (9.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-log: 38.0ms (74.7% of total)

ival-add: 4.0ms (7.9% of total)

ival-div: 3.0ms (5.9% of total)

ival-exp: 3.0ms (5.9% of total)

adjust: 1.0ms (2% of total)

ival-mult: 1.0ms (2% of total)

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

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

bsearch7.0ms (0.1%)

Memory

23.1MiB live, 23.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	-8.558526431008837e+27	-1.7558259504274655e+27

Samples

2.0ms	10×	1	valid
2.0ms	22×	0	valid
0.0ms	4×	0	invalid

Compiler

Compiled 142 to 148 computations (-4.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (30.9% of total)

ival-log: 1.0ms (30.9% of total)

adjust: 0.0ms (0% of total)

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

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

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

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

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

bsearch2.0ms (0%)

Memory

-33.8MiB live, 4.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-8.558526431008837e+27	-1.7558259504274655e+27

Compiler

Compiled 130 to 142 computations (-9.2% saved)

simplify52.0ms (0.5%)

Memory

-5.8MiB live, 105.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`-commutative-binary64-.f64`
12×	`+-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	115	412
1	130	412
2	132	412
3	133	412

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -1799999999999999913966436352 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 2132904783522667/1152921504606846976 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 -70000000 binary64)) #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (exp.f64 (neg.f64 z))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(if (<=.f64 y #s(literal -18999999999999998624352909544564697561820432072050500135457149978451943994343116590955430758973286899663747138047934866046867030895183403149030672942093237206610003369997797490193086243410018304 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (if (<=.f64 y #s(literal -1799999999999999913966436352 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 #s(approx (* (+ (* (+ (* -1/6 y) -1/2) y) -1/3) z) (.f64 (.f64 (.f64 z y) y) #s(literal -1/6 binary64))) y)) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))))
(if (<=.f64 y #s(literal -1949999999999999929703464960 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (.f64 (.f64 #s(literal -1/6 binary64) z) z))) z #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(if (<=.f64 y #s(literal -1799999999999999913966436352 binary64)) (+.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(literal 1 binary64)) y)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))

Outputs
(if (<=.f64 y #s(literal -1799999999999999913966436352 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 2132904783522667/1152921504606846976 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 -1799999999999999913966436352 binary64)) (+.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (if (<=.f64 y #s(literal 2132904783522667/1152921504606846976 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 -70000000 binary64)) #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (exp.f64 (neg.f64 z))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(if (<=.f64 z #s(literal -70000000 binary64)) #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (exp.f64 (neg.f64 z))) y)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
(if (<=.f64 y #s(literal -18999999999999998624352909544564697561820432072050500135457149978451943994343116590955430758973286899663747138047934866046867030895183403149030672942093237206610003369997797490193086243410018304 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (if (<=.f64 y #s(literal -1799999999999999913966436352 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 #s(approx (* (+ (* (+ (* -1/6 y) -1/2) y) -1/3) z) (.f64 (.f64 (.f64 z y) y) #s(literal -1/6 binary64))) y)) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))))
(if (<=.f64 y #s(literal -18999999999999998624352909544564697561820432072050500135457149978451943994343116590955430758973286899663747138047934866046867030895183403149030672942093237206610003369997797490193086243410018304 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (if (<=.f64 y #s(literal -1799999999999999913966436352 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/6 z) 1/2) y) (+ (* -1/2 z) 1/2)) y) (* -1/3 z)) y) (/.f64 #s(approx (* (+ (* (+ (* -1/6 y) -1/2) y) -1/3) z) (.f64 (.f64 (.f64 z y) y) #s(literal -1/6 binary64))) y)) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) x) (+.f64 (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x)))
(if (<=.f64 y #s(literal -1949999999999999929703464960 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (.f64 (.f64 #s(literal -1/6 binary64) z) z))) z #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(if (<=.f64 y #s(literal -1949999999999999929703464960 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (.f64 (.f64 #s(literal -1/6 binary64) z) z))) z #s(literal 1 binary64))) y) x) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
(if (<=.f64 y #s(literal -1799999999999999913966436352 binary64)) (+.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(literal 1 binary64)) y)))
(if (<=.f64 y #s(literal -1799999999999999913966436352 binary64)) (+.f64 (/.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) x) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #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))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))

soundness988.0ms (10.1%)

Memory

2.3MiB live, 827.4MiB allocated

Rules

12 162×	`lower-fma.f64`
12 162×	`lower-fma.f32`
9 888×	`lower-fma.f64`
9 888×	`lower-fma.f32`
9 370×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	562	13926
1	1758	12099
2	5803	11745
0	8115	11147
0	691	18035
1	2146	15741
2	7611	15576
0	8114	14753
0	619	15826
1	1954	13952
2	6854	13822
0	8016	13031
0	603	4112
1	1814	3486
2	6083	3379
0	8215	3225
0	43	348
0	71	326
1	331	326
2	2865	326
0	8169	321

Stop Event

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

Compiler

Compiled 226 to 176 computations (22.1% saved)

preprocess90.0ms (0.9%)

Memory: 13.4MiB live, 199.1MiB allocated
Compiler: Compiled 394 to 196 computations (50.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze290.0ms (3%)

sample2.3s (23.4%)

explain249.0ms (2.6%)

preprocess235.0ms (2.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize78.0ms (0.8%)

series51.0ms (0.5%)

simplify153.0ms (1.6%)

rewrite129.0ms (1.3%)

eval72.0ms (0.7%)

prune30.0ms (0.3%)

simplify154.0ms (1.6%)

localize225.0ms (2.3%)

series77.0ms (0.8%)

simplify195.0ms (2%)

rewrite161.0ms (1.6%)

eval186.0ms (1.9%)

prune92.0ms (0.9%)

simplify268.0ms (2.7%)

localize527.0ms (5.4%)

series133.0ms (1.4%)

simplify348.0ms (3.6%)

rewrite211.0ms (2.2%)

eval225.0ms (2.3%)

prune120.0ms (1.2%)

simplify230.0ms (2.4%)

localize345.0ms (3.5%)

series111.0ms (1.1%)

simplify250.0ms (2.6%)

rewrite404.0ms (4.1%)

eval322.0ms (3.3%)

prune70.0ms (0.7%)

regimes64.0ms (0.7%)

regimes44.0ms (0.5%)

regimes34.0ms (0.3%)

regimes20.0ms (0.2%)

regimes4.0ms (0%)

regimes12.0ms (0.1%)

regimes16.0ms (0.2%)

regimes14.0ms (0.1%)

bsearch50.0ms (0.5%)

bsearch70.0ms (0.7%)

bsearch65.0ms (0.7%)

bsearch7.0ms (0.1%)

bsearch2.0ms (0%)

simplify52.0ms (0.5%)

soundness988.0ms (10.1%)

preprocess90.0ms (0.9%)

end0.0ms (0%)

Profiling