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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze249.0ms (2.4%)

Memory

-7.4MiB live, 339.5MiB 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 (22%)

Memory

-160.9MiB live, 2 412.0MiB allocated

Samples

1.0s	2 253×	1	valid
675.0ms	6 003×	0	valid
99.0ms	924×	0	invalid
1.0ms	13×	1	exit

Precisions

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

ival-log: 524.0ms (35.7% of total)

ival-exp: 401.0ms (27.3% of total)

ival-div: 277.0ms (18.9% of total)

ival-add: 123.0ms (8.4% of total)

ival-mult: 87.0ms (5.9% of total)

adjust: 43.0ms (2.9% of total)

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

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

Bogosity

explain261.0ms (2.5%)

Memory

20.6MiB live, 382.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
140	45	(-5.608383124874699e+207 -1.9182674948881148e+99 3.4308100320457e-224)	1	(3.0874588768683096e-269 -5.839771293133609e-115 -2.753877956534162e+207)	`(log.f64 (/.f64 y (+.f64 z y)))`
48	0	-	4	(-1.8538820861239797e+300 -3.28055433862557e+232 1.3793420776782367e-81)	`(*.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	1	(-1.6796999423136859e-87 1.7385592630152208e+208 458.37152636966545)	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	174	0
`*.f64`	`(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))`	*nu**	9	0
`log.f64`	`(log.f64 (/.f64 y (+.f64 z y)))`	uflow-rescue	7	0
↳	`(log.f64 (/.f64 y (+.f64 z y)))`	underflow	44
↳	`(/.f64 y (+.f64 z y))`	underflow	10
`exp.f64`	`(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	28	2
-	153	73

Precision

0.15469613259668508

Recall

0.9333333333333333

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	28	0	2
-	153	0	73

Precision?

0.15469613259668508

Recall?

0.9333333333333333

Freqs

test

number	freq
0	75
1	171
2	10

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

111.0ms	270×	1	valid
36.0ms	60×	2	valid
17.0ms	182×	0	valid

Compiler

Compiled 133 to 34 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-log: 78.0ms (59.2% of total)

ival-add: 18.0ms (13.7% of total)

ival-div: 13.0ms (9.9% of total)

ival-exp: 8.0ms (6.1% of total)

adjust: 7.0ms (5.3% of total)

ival-mult: 6.0ms (4.6% of total)

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

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

preprocess242.0ms (2.3%)

Memory

-23.5MiB live, 56.0MiB 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

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.1%	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify4.0ms (0%)

Memory

6.8MiB live, 6.8MiB 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

localize159.0ms (1.5%)

Memory

-5.1MiB live, 150.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
accuracy	0.0234375	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
accuracy	10.782496777508985	(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
accuracy	31.649783570335913	(log.f64 (/.f64 y (+.f64 z y)))

Samples

59.0ms	135×	1	valid
59.0ms	30×	2	valid
22.0ms	91×	0	valid

Compiler

Compiled 60 to 12 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-exp: 48.0ms (42.3% of total)

ival-log: 24.0ms (21.2% of total)

ival-div: 19.0ms (16.8% of total)

ival-add: 15.0ms (13.2% of total)

adjust: 4.0ms (3.5% of total)

ival-mult: 3.0ms (2.6% of total)

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

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

series125.0ms (1.2%)

Memory

29.0MiB live, 67.3MiB allocated

Counts

5 → 132

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>) () ())

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 (exp (* y (+ (log y) (log (/ 1 z))))) (taylor inf z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation:binary64>) () ())) ())
#s(alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z))) (taylor inf z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation:binary64>) () ())) ())
#s(alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))) (taylor inf z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation:binary64>) () ())) ())
#s(alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))) (taylor inf z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation:binary64>) () ())) ())
#s(alt (+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) (taylor inf z) (#s(alt (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))) (taylor inf z) (#s(alt (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))) (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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Calls

9 calls:

Time	Variable		Point	Expression
96.0ms	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))))
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))))
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))))
3.0ms	z	@	-inf	((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))))
3.0ms	z	@	inf	((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))))

simplify338.0ms (3.3%)

Memory

-9.7MiB live, 305.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 548×	`lower-fma.f64`
10 548×	`lower-fma.f32`
4 850×	`lower-*.f64`
4 850×	`lower-*.f32`
4 000×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	520	3809
1	1535	3201
2	5319	2873
0	8124	2727

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 128

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

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

rewrite162.0ms (1.6%)

Memory

7.1MiB live, 327.9MiB 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	47
0	17	47
1	64	41
2	458	41
3	6457	41
0	8028	41

Stop Event

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

Counts

5 → 264

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)))

Outputs
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) (.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 y) (.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))))
(.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) y (.f64 z z))) y) (pow.f64 (-.f64 z y) y))
(.f64 (pow.f64 (/.f64 y (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) y) (pow.f64 (-.f64 (hypot.f64 z y) (.f64 z y)) y))
(*.f64 (pow.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 z y)) y))
(*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 z y)) y))
(*.f64 (pow.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) y) (pow.f64 y y))
(*.f64 (pow.f64 y y) (pow.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) y))
(.f64 (pow.f64 (exp.f64 y) (.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64))) (.f64 (pow.f64 (exp.f64 y) (.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (exp.f64 y) (.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 y) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (exp.f64 y) (log.f64 y)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y)))))
(*.f64 (pow.f64 (exp.f64 y) (log.f64 y)) (pow.f64 (exp.f64 y) (neg.f64 (log.f64 (+.f64 z y)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 z y)) y))
(*.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal 1 binary64))
(pow.f64 (.f64 (exp.f64 y) (exp.f64 y)) (.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 y) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 z y) y) (neg.f64 y))
(pow.f64 (exp.f64 y) (.f64 #s(literal 2 binary64) (.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 y) (fma.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 y) (log.f64 (/.f64 y (+.f64 z y))))
(pow.f64 (/.f64 y (+.f64 z y)) y)
(/.f64 (neg.f64 (pow.f64 (exp.f64 y) (log.f64 y))) (neg.f64 (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y)))))
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) (log.f64 y))) (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y))))
(/.f64 (*.f64 (pow.f64 (exp.f64 y) (log.f64 y)) #s(literal 1 binary64)) (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y))))
(/.f64 (pow.f64 (exp.f64 y) (log.f64 (neg.f64 y))) (pow.f64 (exp.f64 y) (log.f64 (-.f64 (neg.f64 y) z))))
(/.f64 (pow.f64 (exp.f64 y) (log.f64 y)) (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y))) (pow.f64 (exp.f64 y) (log.f64 y))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 z y)) (neg.f64 y)))
(neg.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)))
(exp.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)))) (+.f64 (hypot.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)))
(.f64 (/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -3/2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))))
(.f64 (/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -3/2 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (-.f64 (.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))
(.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)))
(.f64 (pow.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal -1 binary64)) (-.f64 (.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))))
(.f64 (pow.f64 (-.f64 (hypot.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)) #s(literal -1 binary64)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -3/2 binary64))))
(.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))))
(.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -3/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))
(.f64 (-.f64 (hypot.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)) (/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (-.f64 (hypot.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))))
(.f64 (-.f64 (hypot.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)) (.f64 (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (pow.f64 (-.f64 (hypot.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)) #s(literal -1 binary64))))
(.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -3/2 binary64))) (pow.f64 (-.f64 (hypot.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)) #s(literal -1 binary64))
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(-.f64 (log.f64 (neg.f64 y)) (log.f64 (-.f64 (neg.f64 y) z)))
(-.f64 (log.f64 y) (log.f64 (+.f64 z y)))
(+.f64 (log.f64 (/.f64 y (*.f64 (+.f64 z y) (-.f64 y z)))) (log.f64 (-.f64 y z)))
(+.f64 (log.f64 (/.f64 y (*.f64 (-.f64 (neg.f64 y) z) (-.f64 z y)))) (log.f64 (fma.f64 #s(literal -1 binary64) z y)))
(+.f64 (log.f64 (/.f64 y (neg.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))))) (log.f64 (neg.f64 (-.f64 (hypot.f64 z y) (*.f64 z y)))))
(+.f64 (log.f64 (/.f64 (neg.f64 y) (fma.f64 (neg.f64 y) y (*.f64 z z)))) (log.f64 (fma.f64 #s(literal -1 binary64) z y)))
(+.f64 (log.f64 (/.f64 (neg.f64 y) (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (log.f64 (neg.f64 (-.f64 (hypot.f64 z y) (*.f64 z y)))))
(+.f64 (log.f64 (.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (neg.f64 y) y (.f64 z z))))) (log.f64 (-.f64 z y)))
(+.f64 (log.f64 (.f64 #s(literal 1 binary64) (/.f64 y (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))))) (log.f64 (-.f64 (hypot.f64 z y) (.f64 z y))))
(+.f64 (log.f64 (pow.f64 (/.f64 (+.f64 z y) y) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 (+.f64 z y) y) #s(literal -1/2 binary64))))
(+.f64 (log.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 z y))))
(+.f64 (log.f64 (exp.f64 (log.f64 y))) (log.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 z y))))))
(+.f64 (log.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z)))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z y) #s(literal -1 binary64)))))
(+.f64 (log.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z)))) (log.f64 (-.f64 z y)))
(+.f64 (log.f64 (/.f64 y (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (hypot.f64 z y) (*.f64 z y)) #s(literal -1 binary64)))))
(+.f64 (log.f64 (/.f64 y (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (log.f64 (-.f64 (hypot.f64 z y) (*.f64 z y))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 z y))) (log.f64 (neg.f64 y)))
(+.f64 (neg.f64 (log.f64 (fma.f64 (neg.f64 y) y (.f64 z z)))) (log.f64 (.f64 (-.f64 z y) y)))
(+.f64 (neg.f64 (log.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (log.f64 (.f64 (-.f64 (hypot.f64 z y) (.f64 z y)) y)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (-.f64 (neg.f64 y) z))))
(+.f64 (neg.f64 (log.f64 (+.f64 z y))) (log.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (neg.f64 (log.f64 (+.f64 z y))) (log.f64 y))
(+.f64 (log.f64 (-.f64 z y)) (log.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z)))))
(+.f64 (log.f64 (-.f64 (hypot.f64 z y) (*.f64 z y))) (log.f64 (/.f64 y (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 y (+.f64 z y))))
(+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 z y))))
(+.f64 (log.f64 y) (neg.f64 (log.f64 (+.f64 z y))))
(+.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 0 binary64))
(log.f64 (/.f64 y (+.f64 z y)))

eval56.0ms (0.5%)

Memory: -13.3MiB live, 143.1MiB allocated
Compiler: Compiled 10 198 to 1 829 computations (82.1% saved)

prune19.0ms (0.2%)

Memory

27.2MiB live, 66.3MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	376	16	392
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	377	16	393

Accuracy

100.0%

Counts

393 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.0%	(fma.f64 (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -1/2 binary64)) x)
	89.1%	(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) x)
	89.1%	(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
▶	89.1%	(+.f64 x (/.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y))
	77.9%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (*.f64 (fma.f64 (/.f64 z y) #s(literal 1/2 binary64) #s(literal -1 binary64)) z))) y))
	88.6%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
	58.6%	(+.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))
▶	66.5%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
	68.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
	84.3%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
	62.5%	(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
	74.9%	(.f64 (-.f64 (hypot.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)) (/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (-.f64 (hypot.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))))
▶	36.8%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
▶	33.7%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
	68.7%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (-.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 z y)))
▶	69.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (+.f64 (fma.f64 (.f64 (/.f64 (.f64 z z) y) (exp.f64 (neg.f64 z))) (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 (exp.f64 (neg.f64 z)) y)))

Compiler

Compiled 554 to 346 computations (37.5% saved)

simplify195.0ms (1.9%)

Memory

-73.4MiB live, 207.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (*.f64 z z) y)
cost-diff	0	(fma.f64 (.f64 (/.f64 (.f64 z z) y) (exp.f64 (neg.f64 z))) (/.f64 #s(literal 1/2 binary64) y) x)
cost-diff	0	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (+.f64 (fma.f64 (.f64 (/.f64 (.f64 z z) y) (exp.f64 (neg.f64 z))) (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 (exp.f64 (neg.f64 z)) y)))
cost-diff	7616	(+.f64 (fma.f64 (.f64 (/.f64 (.f64 z z) y) (exp.f64 (neg.f64 z))) (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 (exp.f64 (neg.f64 z)) y))
cost-diff	0	(/.f64 y (+.f64 y z))
cost-diff	0	(pow.f64 (/.f64 y (+.f64 y z)) y)
cost-diff	0	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) 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	(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	(/.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y)
cost-diff	0	(+.f64 x (/.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y))
cost-diff	384	(/.f64 y #s(literal 2 binary64))
cost-diff	8320	(*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))))

Rules

8 884×	`lower-fma.f32`
8 878×	`lower-fma.f64`
4 098×	`lower-*.f32`
4 092×	`lower-*.f64`
2 354×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	362
0	73	346
1	110	334
2	189	330
3	424	316
4	824	304
5	1402	304
6	3167	304
7	5442	304
8	7129	304
0	8055	302

Stop Event

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

Calls

Call 1

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

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

localize236.0ms (2.3%)

Memory

10.7MiB live, 329.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.7216958972103389	(fma.f64 (.f64 (/.f64 (.f64 z z) y) (exp.f64 (neg.f64 z))) (/.f64 #s(literal 1/2 binary64) y) x)
accuracy	4.097992189361267	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (+.f64 (fma.f64 (.f64 (/.f64 (.f64 z z) y) (exp.f64 (neg.f64 z))) (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 (exp.f64 (neg.f64 z)) y)))
accuracy	4.941378729416279	(.f64 (/.f64 (.f64 z z) y) (exp.f64 (neg.f64 z)))
accuracy	7.149652662589446	(/.f64 (*.f64 z z) y)
accuracy	0	(+.f64 y z)
accuracy	0.01953125	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
accuracy	9.663706610353422	(pow.f64 (/.f64 y (+.f64 y z)) y)
accuracy	32.04367193833673	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
accuracy	0.01171875	(+.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	(/.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	0.04296875	(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64))
accuracy	17.657006181162522	#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	35.60668482728546	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
accuracy	0.01171875	(+.f64 x (/.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y))
accuracy	0.01953125	(/.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y)
accuracy	0.02734375	(*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))))
accuracy	9.625829039640614	(pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))

Samples

140.0ms	117×	1	valid
32.0ms	102×	0	valid
12.0ms	37×	0	exit

Compiler

Compiled 298 to 41 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-pow: 74.0ms (47.1% of total)

ival-div: 21.0ms (13.4% of total)

ival-log: 17.0ms (10.8% of total)

ival-add: 15.0ms (9.5% of total)

ival-mult: 14.0ms (8.9% of total)

adjust: 9.0ms (5.7% of total)

ival-exp: 6.0ms (3.8% of total)

exact: 1.0ms (0.6% of total)

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

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

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

series114.0ms (1.1%)

Memory

-0.6MiB live, 123.9MiB allocated

Counts

22 → 588

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 z) (#s(alt (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) (patch (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) (patch (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1))) (taylor 0 z) (#s(alt (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) (patch (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* z (- (* z (+ 1/2 (+ (* 1/2 (/ 1 y)) (* z (+ (* -2 (+ 1/48 (+ (* 1/8 (/ 1 y)) (* 1/6 (/ 1 (pow y 2)))))) (* -1 (+ 1/8 (* 1/4 (/ 1 y))))))))) 1))) (taylor 0 z) (#s(alt (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) (patch (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ x (/ 1 y)) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y)) (patch (+.f64 x (/.f64 (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y)) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ z y)) (/ 1 y))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y)) (patch (+.f64 x (/.f64 (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 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 (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y)) (patch (+.f64 x (/.f64 (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y)) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* z (+ (* -2 (/ (+ 1/48 (+ (* 1/8 (/ 1 y)) (* 1/6 (/ 1 (pow y 2))))) y)) (* -1 (/ (+ 1/8 (* 1/4 (/ 1 y))) y))))))) (/ 1 y))) (/ 1 y))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y)) (patch (+.f64 x (/.f64 (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 z) (#s(alt (/.f64 (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y) (patch (/.f64 (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (/ 1 y)) (taylor 0 z) (#s(alt (/.f64 (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y) (patch (/.f64 (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 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 (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y) (patch (/.f64 (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y) #<representation:binary64>) () ())) ())
#s(alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (+ (* 1/2 (/ 1 (pow y 2))) (* z (+ (* -2 (/ (+ 1/48 (+ (* 1/8 (/ 1 y)) (* 1/6 (/ 1 (pow y 2))))) y)) (* -1 (/ (+ 1/8 (* 1/4 (/ 1 y))) y))))))) (/ 1 y))) (/ 1 y)) (taylor 0 z) (#s(alt (/.f64 (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y) (patch (/.f64 (.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) y) #<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>) () ())) ())
#s(alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 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>) () ())) ())
#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 #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 y)) (taylor 0 z) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ z y)) (/ 1 y))) (taylor 0 z) (#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 (+ (* 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))))) (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 (+ (* 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))))) (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>) () ())) ())
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#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 (fma.f64 (.f64 (/.f64 (.f64 z z) y) (exp.f64 (neg.f64 z))) (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 (exp.f64 (neg.f64 z)) y))) (patch #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (+.f64 (fma.f64 (.f64 (/.f64 (.f64 z z) y) (exp.f64 (neg.f64 z))) (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 (exp.f64 (neg.f64 z)) 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 (fma.f64 (.f64 (/.f64 (.f64 z z) y) (exp.f64 (neg.f64 z))) (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 (exp.f64 (neg.f64 z)) y))) (patch #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (+.f64 (fma.f64 (.f64 (/.f64 (.f64 z z) y) (exp.f64 (neg.f64 z))) (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 (exp.f64 (neg.f64 z)) 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 (fma.f64 (.f64 (/.f64 (.f64 z z) y) (exp.f64 (neg.f64 z))) (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 (exp.f64 (neg.f64 z)) y))) (patch #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (+.f64 (fma.f64 (.f64 (/.f64 (.f64 z z) y) (exp.f64 (neg.f64 z))) (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 (exp.f64 (neg.f64 z)) y))) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (.f64 (/.f64 (.f64 z z) y) (exp.f64 (neg.f64 z))) (/.f64 #s(literal 1/2 binary64) y) x) (patch (fma.f64 (.f64 (/.f64 (.f64 z z) y) (exp.f64 (neg.f64 z))) (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (* (pow z 2) (exp (neg z))) (* x (pow y 2)))) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (/.f64 (.f64 z z) y) (exp.f64 (neg.f64 z))) (/.f64 #s(literal 1/2 binary64) y) x) (patch (fma.f64 (.f64 (/.f64 (.f64 z z) y) (exp.f64 (neg.f64 z))) (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (* (pow z 2) (exp (neg z))) (* x (pow y 2)))) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (/.f64 (.f64 z z) y) (exp.f64 (neg.f64 z))) (/.f64 #s(literal 1/2 binary64) y) x) (patch (fma.f64 (.f64 (/.f64 (.f64 z z) y) (exp.f64 (neg.f64 z))) (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (* (pow z 2) (exp (neg z))) (* x (pow y 2)))) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (/.f64 (.f64 z z) y) (exp.f64 (neg.f64 z))) (/.f64 #s(literal 1/2 binary64) y) x) (patch (fma.f64 (.f64 (/.f64 (.f64 z z) y) (exp.f64 (neg.f64 z))) (/.f64 #s(literal 1/2 binary64) y) x) #<representation:binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	z	@	-inf	((* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (/ y 2) (+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (/ y (+ y z)) (+ (+ (* (* (/ (* z z) y) (exp (neg z))) (/ 1/2 y)) x) (/ (exp (neg z)) y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (+ (* (* (/ (* z z) y) (exp (neg z))) (/ 1/2 y)) x) (/ (* z z) y) (pow (/ y (+ z y)) (/ y 2)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ y z) (* (/ (* z z) y) (exp (neg z))))
11.0ms	z	@	inf	((* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (/ y 2) (+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (/ y (+ y z)) (+ (+ (* (* (/ (* z z) y) (exp (neg z))) (/ 1/2 y)) x) (/ (exp (neg z)) y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (+ (* (* (/ (* z z) y) (exp (neg z))) (/ 1/2 y)) x) (/ (* z z) y) (pow (/ y (+ z y)) (/ y 2)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ y z) (* (/ (* z z) y) (exp (neg z))))
8.0ms	y	@	-inf	((* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (/ y 2) (+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (/ y (+ y z)) (+ (+ (* (* (/ (* z z) y) (exp (neg z))) (/ 1/2 y)) x) (/ (exp (neg z)) y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (+ (* (* (/ (* z z) y) (exp (neg z))) (/ 1/2 y)) x) (/ (* z z) y) (pow (/ y (+ z y)) (/ y 2)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ y z) (* (/ (* z z) y) (exp (neg z))))
7.0ms	y	@	inf	((* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (/ y 2) (+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (/ y (+ y z)) (+ (+ (* (* (/ (* z z) y) (exp (neg z))) (/ 1/2 y)) x) (/ (exp (neg z)) y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (+ (* (* (/ (* z z) y) (exp (neg z))) (/ 1/2 y)) x) (/ (* z z) y) (pow (/ y (+ z y)) (/ y 2)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ y z) (* (/ (* z z) y) (exp (neg z))))
6.0ms	x	@	0	((* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (/ y 2) (+ x (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y)) (/ (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (/ y (+ y z)) (+ (+ (* (* (/ (* z z) y) (exp (neg z))) (/ 1/2 y)) x) (/ (exp (neg z)) y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (+ (* (* (/ (* z z) y) (exp (neg z))) (/ 1/2 y)) x) (/ (* z z) y) (pow (/ y (+ z y)) (/ y 2)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ y z) (* (/ (* z z) y) (exp (neg z))))

simplify232.0ms (2.2%)

Memory

5.4MiB live, 268.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 968×	`lower-fma.f64`
8 968×	`lower-fma.f32`
7 056×	`lower-+.f64`
7 056×	`lower-+.f32`
5 836×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1006	15310
1	3206	13575
0	8254	12965

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 553

Calls

Call 1

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

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

rewrite287.0ms (2.8%)

Memory

25.6MiB live, 290.0MiB allocated

Rules

5 276×	`lower-fma.f32`
5 270×	`lower-fma.f64`
4 904×	`lower-/.f32`
4 888×	`lower-/.f64`
4 686×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	312
0	73	264
1	308	260
2	2250	259
0	9543	259

Stop Event

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

Counts

22 → 935

Calls

Call 1

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

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

eval284.0ms (2.7%)

Memory: 20.6MiB live, 374.4MiB allocated
Compiler: Compiled 44 188 to 5 060 computations (88.5% saved)

prune76.0ms (0.7%)

Memory

-19.6MiB live, 143.9MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	1 593	18	1 611
Fresh	6	5	11
Picked	3	2	5
Done	0	0	0
Total	1 602	25	1 627

Accuracy

100.0%

Counts

1 627 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.0%	(fma.f64 (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -1/2 binary64)) x)
▶	89.1%	(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
	77.9%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (*.f64 (fma.f64 (/.f64 z y) #s(literal 1/2 binary64) #s(literal -1 binary64)) z))) y))
▶	88.6%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
	68.7%	(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) (-.f64 #s(literal 1 binary64) z)) y))
	84.3%	(+.f64 x (/.f64 #s(approx (* (pow (/ y (+ z y)) (/ y 2)) (pow (/ y (+ z y)) (/ y 2))) #s(literal 1 binary64)) y))
	69.4%	(+.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))
	67.3%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y))
	64.5%	(+.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))
▶	41.2%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (.f64 (/.f64 (.f64 z z) y) #s(literal 1/2 binary64)))) y))
	62.5%	(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 z y) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
	9.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
	36.8%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal 2 binary64)) y))
	28.1%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ y z)) (/.f64 y z)) y) y))
	23.7%	#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 (+.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))
	30.1%	#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))
▶	26.8%	#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))
	38.7%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (exp.f64 (neg.f64 z))) y))
✓	33.7%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
✓	69.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (+.f64 (fma.f64 (.f64 (/.f64 (.f64 z z) y) (exp.f64 (neg.f64 z))) (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 (exp.f64 (neg.f64 z)) y)))
	36.8%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (*.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (/.f64 #s(literal -1 binary64) y)))
▶	19.5%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (/ (pow (/ y (+ y z)) y) y) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
	26.8%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (/ (pow (/ y (+ y z)) y) y) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))))
	57.0%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (+ (+ (* (* (/ (* z z) y) (exp (neg z))) (/ 1/2 y)) x) (/ (exp (neg z)) y)) (fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 x (/.f64 #s(literal 1 binary64) y)))))
	26.8%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (+ (+ (* (* (/ (* z z) y) (exp (neg z))) (/ 1/2 y)) x) (/ (exp (neg z)) y)) (/.f64 (fma.f64 (exp.f64 (neg.f64 z)) (fma.f64 (.f64 z z) #s(literal 1/2 binary64) y) (.f64 (.f64 x y) y)) (.f64 y y))))

Compiler

Compiled 713 to 562 computations (21.2% saved)

simplify465.0ms (4.5%)

Memory

-11.8MiB live, 240.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

21 644×	`lower-fma.f32`
21 640×	`lower-fma.f64`
3 056×	`lower-*.f32`
3 050×	`lower-*.f64`
2 372×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	428
0	80	428
1	110	418
2	155	418
3	299	418
4	508	414
5	880	411
6	1651	411
7	3130	411
8	4496	404
9	5602	404
10	6149	404
11	6565	404
12	6709	404
13	6751	404
14	6825	404
15	6993	404
16	7072	404
17	7127	404
18	7178	404
19	7257	404
20	7282	404
21	7334	404
22	7384	404
0	8059	392

Stop Event

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

Calls

Call 1

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

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

localize339.0ms (3.3%)

Memory

-4.3MiB live, 346.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
accuracy	0.01171875	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
accuracy	0.0234375	(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)
accuracy	20.150442417320807	#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))
accuracy	1.2244560562824878	(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
accuracy	4.1683998114640275	(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y))
accuracy	25.850455201276496	#s(approx (/ (pow (/ y (+ y z)) y) y) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))
accuracy	34.45771554635992	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (/ (pow (/ y (+ y z)) y) y) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
accuracy	0.0234375	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (.f64 (/.f64 (.f64 z z) y) #s(literal 1/2 binary64)))) y)
accuracy	8.317182156327098	(/.f64 (*.f64 z z) y)
accuracy	24.034804864786473	#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (.f64 (/.f64 (.f64 z z) y) #s(literal 1/2 binary64))))
accuracy	49.78755811138204	#s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (.f64 (/.f64 (.f64 z z) y) #s(literal 1/2 binary64)))
accuracy	0	(-.f64 #s(literal 1 binary64) z)
accuracy	0.0234375	(/.f64 #s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z)) y)
accuracy	25.806084524152723	#s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z))
accuracy	34.45771554635992	#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	(+.f64 z y)
accuracy	0.01171875	(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
accuracy	0.0234375	(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
accuracy	12.085581610353428	(pow.f64 (/.f64 y (+.f64 z y)) y)

Samples

157.0ms	135×	1	valid
92.0ms	30×	2	valid
26.0ms	91×	0	valid

Compiler

Compiled 275 to 42 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 224.0ms

ival-pow: 106.0ms (47.4% of total)

ival-div: 34.0ms (15.2% of total)

ival-log: 25.0ms (11.2% of total)

ival-add: 19.0ms (8.5% of total)

ival-mult: 17.0ms (7.6% of total)

adjust: 16.0ms (7.2% of total)

ival-exp: 4.0ms (1.8% of total)

ival-sub: 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)

exact: 0.0ms (0% of total)

series64.0ms (0.6%)

Memory

37.1MiB live, 75.0MiB allocated

Counts

23 → 588

Calls

Call 1

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

Calls

9 calls:

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

simplify294.0ms (2.8%)

Memory

2.7MiB live, 393.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 476×	`lower-fma.f64`
9 476×	`lower-fma.f32`
5 450×	`lower-*.f64`
5 450×	`lower-*.f32`
3 568×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	622	15255
1	1896	13195
2	6268	12806
0	8178	12196

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 562

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
(+ 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))))
(+ 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)))
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(*.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)))

rewrite338.0ms (3.3%)

Memory

-11.2MiB live, 336.2MiB allocated

Rules

5 626×	`lower-fma.f32`
5 622×	`lower-fma.f64`
5 016×	`lower-/.f32`
4 996×	`lower-/.f64`
4 242×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	381
0	80	371
1	348	371
2	2642	371
0	9949	358

Stop Event

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

Counts

23 → 568

Calls

Call 1

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

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

eval260.0ms (2.5%)

Memory: 9.4MiB live, 326.4MiB allocated
Compiler: Compiled 27 660 to 3 506 computations (87.3% saved)

prune68.0ms (0.7%)

Memory

25.8MiB live, 149.5MiB allocated

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	1 119	11	1 130
Fresh	6	12	18
Picked	2	3	5
Done	0	2	2
Total	1 127	28	1 155

Accuracy

100.0%

Counts

1 155 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.0%	(fma.f64 (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -1/2 binary64)) x)
▶	88.6%	(fma.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (/.f64 #s(literal -1 binary64) y) x)
✓	89.1%	(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
	68.7%	(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z)) y) x)
	84.3%	(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x)
	77.9%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (*.f64 (fma.f64 (/.f64 z y) #s(literal 1/2 binary64) #s(literal -1 binary64)) z))) y))
✓	88.6%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
▶	69.4%	(+.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))
	67.3%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y))
	9.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
	36.8%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal 2 binary64)) y))
	28.1%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ y z)) (/.f64 y z)) y) y))
	23.7%	#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 (+.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))
✓	26.8%	#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))
▶	38.7%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (exp.f64 (neg.f64 z))) y))
▶	3.3%	#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))
✓	33.7%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
✓	69.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (+.f64 (fma.f64 (.f64 (/.f64 (.f64 z z) y) (exp.f64 (neg.f64 z))) (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 (exp.f64 (neg.f64 z)) y)))
	36.8%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (*.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (/.f64 #s(literal -1 binary64) y)))
	26.8%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (.f64 (neg.f64 #s(approx (exp ( y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y)))
	29.3%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (/ (pow (/ y (+ y z)) y) y) (fma.f64 (fma.f64 #s(approx (+ (/ 1/2 (* y y)) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
	29.3%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (/ (pow (/ y (+ y z)) y) y) (fma.f64 #s(approx (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z (/.f64 #s(literal 1 binary64) y))))
	29.7%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (/ (pow (/ y (+ y z)) y) y) (fma.f64 #s(approx (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y) y)) z (/.f64 #s(literal 1 binary64) y))))
	32.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (/ (pow (/ y (+ y z)) y) y) #s(approx (+ (* (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))))
▶	29.1%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (/ (pow (/ y (+ y z)) y) y) #s(approx (+ (* (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.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))))
	2.9%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (/ (pow (/ y (+ y z)) y) y) #s(approx (+ (* (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (.f64 (.f64 (/.f64 (/.f64 z y) y) #s(literal 1/2 binary64)) z))))
	57.0%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (+ (+ (* (* (/ (* z z) y) (exp (neg z))) (/ 1/2 y)) x) (/ (exp (neg z)) y)) (fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 x (/.f64 #s(literal 1 binary64) y)))))
	26.8%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (+ (+ (* (* (/ (* z z) y) (exp (neg z))) (/ 1/2 y)) x) (/ (exp (neg z)) y)) (/.f64 (fma.f64 (exp.f64 (neg.f64 z)) (fma.f64 (.f64 z z) #s(literal 1/2 binary64) y) (.f64 (.f64 x y) y)) (.f64 y y))))

Compiler

Compiled 733 to 600 computations (18.1% saved)

simplify231.0ms (2.2%)

Memory

-38.4MiB live, 282.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

10 354×	`lower-fma.f32`
10 344×	`lower-fma.f64`
2 824×	`lower-*.f32`
2 820×	`lower-*.f64`
1 858×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	545
0	83	545
1	125	532
2	188	531
3	357	531
4	849	519
5	1532	513
6	3212	513
7	5836	513
8	7874	513
0	8214	490

Stop Event

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

Calls

Call 1

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

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

localize307.0ms (3%)

Memory

34.1MiB live, 502.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (neg.f64 z))
accuracy	0.0234375	(/.f64 #s(approx (pow (/ y (+ y z)) y) (exp.f64 (neg.f64 z))) y)
accuracy	8.918941111384184	#s(approx (pow (/ y (+ y z)) y) (exp.f64 (neg.f64 z)))
accuracy	34.45771554635992	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (exp.f64 (neg.f64 z))) y))
accuracy	4.680722214466499	(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))) y) y)
accuracy	5.617154473283294	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64)))
accuracy	25.850455201276496	#s(approx (/ (pow (/ y (+ y z)) y) y) #s(approx (+ (* (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))) y) y)))
accuracy	34.45771554635992	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (/ (pow (/ y (+ y z)) y) y) #s(approx (+ (* (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))) y) y))))
accuracy	0.015625	(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))
accuracy	0.0234375	(/.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)
accuracy	14.084424583484882	#s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
accuracy	24.034804864786473	#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)))
accuracy	0.0234375	(/.f64 #s(approx (pow (/ y (+ y z)) y) #s(approx (- 1 z) (neg.f64 z))) y)
accuracy	25.806084524152723	#s(approx (pow (/ y (+ y z)) y) #s(approx (- 1 z) (neg.f64 z)))
accuracy	34.45771554635992	#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	37.46612695126491	#s(approx (- 1 z) (neg.f64 z))
accuracy	0	(neg.f64 z)
accuracy	0	(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
accuracy	0.01953125	(fma.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (/.f64 #s(literal -1 binary64) y) x)
accuracy	20.150442417320807	#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))

Samples

151.0ms	135×	1	valid
77.0ms	91×	0	valid
40.0ms	30×	2	valid

Compiler

Compiled 319 to 50 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 229.0ms

ival-div: 47.0ms (20.5% of total)

adjust: 45.0ms (19.6% of total)

ival-add: 41.0ms (17.9% of total)

ival-mult: 29.0ms (12.7% of total)

ival-log: 28.0ms (12.2% of total)

ival-pow: 16.0ms (7% of total)

ival-sub: 12.0ms (5.2% of total)

ival-exp: 6.0ms (2.6% of total)

ival-neg: 3.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series85.0ms (0.8%)

Memory

16.8MiB live, 91.7MiB allocated

Counts

23 → 576

Calls

Call 1

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

9 calls:

Time	Variable		Point	Expression
30.0ms	y	@	-inf	((+ (* (neg (exp (* y (log (/ y (+ z y)))))) (/ -1 y)) x) (neg (exp (* y (log (/ y (+ z 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) (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (+ (* (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (exp (neg z)) (neg z) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/ (/ (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) y) y))
3.0ms	y	@	inf	((+ (* (neg (exp (* y (log (/ y (+ z y)))))) (/ -1 y)) x) (neg (exp (* y (log (/ y (+ z 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) (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (+ (* (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (exp (neg z)) (neg z) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/ (/ (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) y) y))
3.0ms	z	@	inf	((+ (* (neg (exp (* y (log (/ y (+ z y)))))) (/ -1 y)) x) (neg (exp (* y (log (/ y (+ z 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) (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (+ (* (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (exp (neg z)) (neg z) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/ (/ (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) y) y))
3.0ms	z	@	-inf	((+ (* (neg (exp (* y (log (/ y (+ z y)))))) (/ -1 y)) x) (neg (exp (* y (log (/ y (+ z 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) (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (+ (* (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (exp (neg z)) (neg z) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/ (/ (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) y) y))
2.0ms	y	@	0	((+ (* (neg (exp (* y (log (/ y (+ z y)))))) (/ -1 y)) x) (neg (exp (* y (log (/ y (+ z 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) (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (+ (* (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (exp (neg z)) (neg z) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/ (/ (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) y) y))

simplify260.0ms (2.5%)

Memory

-21.7MiB live, 348.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 722×	`lower-fma.f64`
10 722×	`lower-fma.f32`
5 500×	`lower-*.f64`
5 500×	`lower-*.f32`
3 914×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	621	15311
1	1938	13177
2	6660	12772
0	8329	12117

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 555

Calls

Call 1

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

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

rewrite356.0ms (3.4%)

Memory

6.4MiB live, 334.3MiB allocated

Rules

4 450×	`lower-/.f32`
4 438×	`lower-/.f64`
3 222×	`lower-*.f32`
3 218×	`lower-*.f64`
2 844×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	480
0	83	468
1	377	467
2	3080	467
0	8440	453

Stop Event

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

Counts

23 → 286

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z))) (neg.f64 y)) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (fma.f64 (exp.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z))) (pow.f64 y #s(literal -1 binary64)) (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (exp.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (neg.f64 y)) x) (.f64 (exp.f64 (+.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z)) (neg.f64 (log.f64 y)))) x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (pow.f64 y #s(literal -1 binary64)) (neg.f64 x)) (-.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (neg.f64 y)) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (hypot.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (neg.f64 y)) x) (.f64 (exp.f64 (+.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z)) (neg.f64 (log.f64 y)))) x)) (fma.f64 (pow.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (exp.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z))) (neg.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (exp.f64 (+.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) (neg.f64 (log.f64 y)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (neg.f64 y)) #s(literal 2 binary64)) (.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z))) (pow.f64 y #s(literal -1 binary64)) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (neg.f64 y)) x) (.f64 (exp.f64 (+.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z)) (neg.f64 (log.f64 y)))) x)))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (exp.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z))) (neg.f64 y)) #s(literal 2 binary64))) (-.f64 x (exp.f64 (+.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) (neg.f64 (log.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (neg.f64 y)) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (exp.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z))) (pow.f64 y #s(literal -1 binary64)) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (neg.f64 y)) #s(literal 2 binary64)) (.f64 (exp.f64 (+.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z)) (neg.f64 (log.f64 y)))) x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (hypot.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (neg.f64 y)) x) (.f64 (exp.f64 (+.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z)) (neg.f64 (log.f64 y)))) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (neg.f64 y)) #s(literal 2 binary64)) (.f64 x x)) (fma.f64 (exp.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z))) (pow.f64 y #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (neg.f64 y)) #s(literal 2 binary64)) (.f64 (exp.f64 (+.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z)) (neg.f64 (log.f64 y)))) x))))
(/.f64 (fma.f64 (pow.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (hypot.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (neg.f64 y)) x) (.f64 (exp.f64 (+.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z)) (neg.f64 (log.f64 y)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (pow.f64 y #s(literal -1 binary64)) (neg.f64 x)) (-.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (neg.f64 y)) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (neg.f64 y)) x) (.f64 (exp.f64 (+.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z)) (neg.f64 (log.f64 y)))) x)) (fma.f64 (pow.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (pow.f64 y #s(literal -1 binary64)) (neg.f64 x)) (-.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (neg.f64 y)) #s(literal 2 binary64)) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (hypot.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (neg.f64 y)) x) (.f64 (exp.f64 (+.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z)) (neg.f64 (log.f64 y)))) x)) (fma.f64 (pow.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (exp.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z))) x)
(fma.f64 (neg.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) (pow.f64 y #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) x)
(fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (exp.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z))))) x)
(fma.f64 #s(literal -1 binary64) (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (neg.f64 y)) x)
(fma.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (pow.f64 y #s(literal -1 binary64)) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (exp.f64 (+.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z)) (neg.f64 (log.f64 y)))))) (/.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (neg.f64 y)) #s(literal 2 binary64)) (-.f64 x (exp.f64 (+.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) (neg.f64 (log.f64 y)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (neg.f64 y)) #s(literal 2 binary64)) (fma.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (pow.f64 y #s(literal -1 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (exp.f64 #s(approx ( y (log (/ y (+ z y)))) (neg.f64 z))) (pow.f64 y #s(literal -1 binary64)) (neg.f64 x))))
(-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (neg.f64 y)))
(+.f64 (exp.f64 (+.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) (neg.f64 (log.f64 y)))) x)
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(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z)))))
(-.f64 #s(literal 0 binary64) z)
(+.f64 #s(literal 0 binary64) (neg.f64 z))
#s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 y (neg.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))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (/.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))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.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) (pow.f64 y #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))
(.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))) (pow.f64 y #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (/.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))
(pow.f64 (/.f64 (.f64 y y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (*.f64 z z) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))) y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))) y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (*.f64 z z) #s(literal 1/2 binary64))) y) #s(literal -1 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (*.f64 z z) #s(literal 1/2 binary64))) y) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 (neg.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)))) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 y) y)))
(/.f64 (neg.f64 (.f64 (neg.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)))) #s(literal -1 binary64))) (.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (.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))) #s(literal 1 binary64))) (.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (.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))) #s(literal -1 binary64))) (neg.f64 (.f64 (neg.f64 y) y)))
(/.f64 (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (*.f64 z z) #s(literal 1/2 binary64))) y) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (*.f64 z z) #s(literal 1/2 binary64))) y) #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (neg.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))))) (neg.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (.f64 (.f64 y y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 #s(literal -1/2 binary64) (.f64 z z))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y) #s(literal 3 binary64)))) (neg.f64 (.f64 (.f64 y y) (-.f64 (hypot.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y) (.f64 (.f64 z z) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y) #s(literal 1/2 binary64)) (.f64 z z))))))
(/.f64 (.f64 (neg.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)))) #s(literal 1 binary64)) (.f64 (neg.f64 y) y))
(/.f64 (.f64 (neg.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)))) #s(literal -1 binary64)) (.f64 y y))
(/.f64 (.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))) #s(literal 1 binary64)) (.f64 y y))
(/.f64 (.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))) #s(literal -1 binary64)) (.f64 (neg.f64 y) y))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/4 binary64))) (.f64 (.f64 y y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 #s(literal -1/2 binary64) (.f64 z z)))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y) #s(literal 3 binary64))) (.f64 (.f64 y y) (-.f64 (hypot.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y) (.f64 (.f64 z z) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y) #s(literal 1/2 binary64)) (.f64 z z)))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 y) y))
(/.f64 (/.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))) (neg.f64 y)) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (/.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))) (neg.f64 y)) (neg.f64 y))
(/.f64 (/.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) (neg.f64 (neg.f64 y)))
(/.f64 (/.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 (pow.f64 y #s(literal -1 binary64)) (/.f64 y (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))) y)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 y (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (*.f64 z z) #s(literal 1/2 binary64)))) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (*.f64 z z) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))) y)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (/.f64 y (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 y y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (*.f64 z z) #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))) y)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))) y))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 y (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (*.f64 z z) #s(literal 1/2 binary64)))) (neg.f64 y)))
(neg.f64 (/.f64 (/.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))) (neg.f64 y)) y))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 (.f64 y y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 #s(literal -1/2 binary64) (.f64 z z))))) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 #s(literal -1/2 binary64) (.f64 z z))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))) (.f64 (neg.f64 y) y)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 #s(literal -1/2 binary64) (.f64 z z)))) (.f64 y y)) (/.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 #s(literal -1/2 binary64) (.f64 z z)))) (.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (/.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))) (neg.f64 y)) y))
(exp.f64 (.f64 (log.f64 (/.f64 y (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (*.f64 z z) #s(literal 1/2 binary64))) y))) #s(literal -1 binary64)))

eval184.0ms (1.8%)

Memory: -15.2MiB live, 247.0MiB allocated
Compiler: Compiled 21 305 to 2 304 computations (89.2% saved)

prune226.0ms (2.2%)

Memory

1.9MiB live, 125.5MiB allocated

Pruning

27 alts after pruning (18 fresh and 9 done)

	Pruned	Kept	Total
New	881	6	887
Fresh	6	12	18
Picked	1	4	5
Done	0	5	5
Total	888	27	915

Accuracy

100.0%

Counts

915 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.0%	(fma.f64 (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal -1/2 binary64)) x)
✓	88.6%	(fma.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (/.f64 #s(literal -1 binary64) y) x)
✓	89.1%	(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
	68.7%	(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z)) y) x)
	84.3%	(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) #s(literal 1 binary64)) y) x)
	77.9%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (*.f64 (fma.f64 (/.f64 z y) #s(literal 1/2 binary64) #s(literal -1 binary64)) z))) y))
✓	88.6%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
✓	69.4%	(+.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))
	36.8%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) #s(literal 2 binary64)) y))
	28.1%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ y z)) (/.f64 y z)) y) y))
	23.7%	#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 (+.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))
✓	26.8%	#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))
✓	38.7%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (exp.f64 (neg.f64 z))) y))
✓	3.3%	#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))
	33.6%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) #s(approx (exp (neg z)) (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)))) y))
	32.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) #s(approx (exp (neg z)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)))) y))
✓	33.7%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
✓	69.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (+.f64 (fma.f64 (.f64 (/.f64 (.f64 z z) y) (exp.f64 (neg.f64 z))) (/.f64 #s(literal 1/2 binary64) y) x) (/.f64 (exp.f64 (neg.f64 z)) y)))
	36.8%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (*.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (/.f64 #s(literal -1 binary64) y)))
	26.8%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (.f64 (neg.f64 #s(approx (exp ( y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y)))
	3.3%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (.f64 (neg.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z)))) (/.f64 #s(literal -1 binary64) y)))
	33.1%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (/ (pow (/ y (+ y z)) y) y) #s(approx (+ (* (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (fma.f64 (neg.f64 z) y y)) y) y))))
	11.6%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (/ (pow (/ y (+ y z)) y) y) #s(approx (+ (* (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z) z)) y) y))))
	2.9%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (/ (pow (/ y (+ y z)) y) y) #s(approx (+ (* (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (.f64 (.f64 (/.f64 (/.f64 z y) y) #s(literal 1/2 binary64)) z))))
	3.0%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (/ (pow (/ y (+ y z)) y) y) #s(approx (+ (* (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) z) z))))
	57.0%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (+ (+ (* (* (/ (* z z) y) (exp (neg z))) (/ 1/2 y)) x) (/ (exp (neg z)) y)) (fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 #s(literal 1/2 binary64) (.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 x (/.f64 #s(literal 1 binary64) y)))))
	26.8%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (+ (+ (* (* (/ (* z z) y) (exp (neg z))) (/ 1/2 y)) x) (/ (exp (neg z)) y)) (/.f64 (fma.f64 (exp.f64 (neg.f64 z)) (fma.f64 (.f64 z z) #s(literal 1/2 binary64) y) (.f64 (.f64 x y) y)) (.f64 y y))))

Compiler

Compiled 1 132 to 558 computations (50.7% saved)

regimes188.0ms (1.8%)

Memory

20.6MiB live, 134.2MiB allocated

Counts

52 → 3

Calls

Call 1

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

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))

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

Calls

5 calls:

93.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
36.0ms	x
28.0ms	z
14.0ms	y
14.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)

Results

Accuracy	Segments	Branch
89.1%	1	`x`
99.5%	3	`y`
89.1%	1	`z`
93.8%	3	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
96.5%	3	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`

Compiler

Compiled 27 to 28 computations (-3.7% saved)

regimes30.0ms (0.3%)

Memory

-8.7MiB live, 28.0MiB allocated

Counts

38 → 3

Calls

Call 1

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

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

1 calls:

27.0ms

Results

Accuracy	Segments	Branch
99.5%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes98.0ms (0.9%)

Memory

-17.0MiB live, 71.8MiB allocated

Counts

37 → 2

Calls

Call 1

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

5 calls:

40.0ms	x
25.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
10.0ms	z
10.0ms	y
10.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)

Results

Accuracy	Segments	Branch
84.3%	1	`x`
89.1%	2	`z`
87.4%	2	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
87.4%	2	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
87.6%	2	`y`

Compiler

Compiled 27 to 28 computations (-3.7% saved)

regimes22.0ms (0.2%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

36 → 2

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	z
10.0ms	y

Results

Accuracy	Segments	Branch
87.6%	2	`y`
87.1%	2	`z`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes38.0ms (0.4%)

Memory

13.2MiB live, 51.2MiB allocated

Counts

26 → 2

Calls

Call 1

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

3 calls:

21.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
7.0ms	y
7.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))

Results

Accuracy	Segments	Branch
86.7%	2	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
86.7%	2	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
87.2%	2	`y`

Compiler

Compiled 25 to 22 computations (12% saved)

regimes41.0ms (0.4%)

Memory

-2.5MiB live, 36.2MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

36.0ms	y
5.0ms	z

Results

Accuracy	Segments	Branch
86.7%	2	`z`
84.3%	1	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes16.0ms (0.1%)

Memory

-5.6MiB live, 33.2MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
4.0ms	z
4.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))

Results

Accuracy	Segments	Branch
84.3%	1	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
84.3%	1	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
84.3%	1	`z`

Compiler

Compiled 25 to 22 computations (12% saved)

regimes37.0ms (0.4%)

Memory

-20.8MiB live, 26.1MiB allocated

Accuracy

Total -19.9b remaining (-46.9%)

Threshold costs -19.9b (-46.9%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

5 calls:

29.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
2.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
2.0ms	y
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
33.7%	1	`y`
33.7%	1	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
33.7%	1	`x`
33.7%	1	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
33.7%	1	`z`

Compiler

Compiled 27 to 28 computations (-3.7% saved)

bsearch61.0ms (0.6%)

Memory

4.0MiB live, 79.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	0.00021411215911940805	13.823753792749098
23.0ms	-6.02648518939731e+21	-58916394565.96762

Samples

23.0ms	288×	0	valid
5.0ms	72×	0	invalid

Compiler

Compiled 284 to 338 computations (-19% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 5.0ms (25.9% of total)

ival-log: 5.0ms (25.9% of total)

ival-add: 4.0ms (20.7% of total)

ival-exp: 3.0ms (15.6% of total)

ival-mult: 2.0ms (10.4% of total)

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

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

bsearch2.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.00021411215911940805	13.823753792749098
1.0ms	-6.02648518939731e+21	-58916394565.96762

Compiler

Compiled 268 to 322 computations (-20.1% saved)

bsearch48.0ms (0.5%)

Memory

21.7MiB live, 101.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
45.0ms	-10779.094376280313	-9.732881835009153e-6

Samples

31.0ms	95×	1	valid
6.0ms	49×	0	valid
2.0ms	32×	0	invalid

Compiler

Compiled 133 to 169 computations (-27.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-log: 12.0ms (41.5% of total)

ival-div: 6.0ms (20.7% of total)

ival-exp: 4.0ms (13.8% of total)

ival-add: 3.0ms (10.4% of total)

adjust: 2.0ms (6.9% of total)

ival-mult: 2.0ms (6.9% of total)

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

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

bsearch2.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-6.02648518939731e+21	-58916394565.96762

Compiler

Compiled 276 to 256 computations (7.2% saved)

bsearch3.0ms (0%)

Memory

-32.7MiB live, 4.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	-6.02648518939731e+21	-58916394565.96762

Compiler

Compiled 206 to 226 computations (-9.7% saved)

bsearch47.0ms (0.5%)

Memory

28.8MiB live, 105.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
44.0ms	-2.3929077421804795e+160	-3.0421569515022105e+144

Samples

21.0ms	75×	1	valid
8.0ms	85×	0	valid
6.0ms	86×	0	invalid

Compiler

Compiled 196 to 226 computations (-15.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-log: 11.0ms (39.7% of total)

ival-div: 5.0ms (18.1% of total)

ival-exp: 4.0ms (14.5% of total)

ival-add: 4.0ms (14.5% of total)

ival-mult: 2.0ms (7.2% of total)

adjust: 1.0ms (3.6% of total)

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

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

simplify33.0ms (0.3%)

Memory

-3.8MiB live, 76.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative-binary64-+.f64`
6×	`-commutative-binary64-.f64`
4×	`neg-sub0-binary64--.f64-neg.f64`
4×	`neg-mul-1-binary64-*.f64-neg.f64`
4×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	371
1	94	371
2	98	371
3	100	371

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -60000000000 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 7926335344172073/18014398509481984 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (fma.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (/.f64 #s(literal -1 binary64) y) x)))
(if (<=.f64 y #s(literal -60000000000 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 7926335344172073/18014398509481984 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 -950 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 -60000000000 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(if (<=.f64 y #s(literal -60000000000 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 z #s(literal -18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (/ (pow (/ y (+ y z)) y) y) #s(approx (+ (* (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))

Outputs
(if (<=.f64 y #s(literal -60000000000 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 7926335344172073/18014398509481984 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (fma.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (/.f64 #s(literal -1 binary64) y) x)))
(if (<=.f64 y #s(literal -60000000000 binary64)) (+.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (if (<=.f64 y #s(literal 7926335344172073/18014398509481984 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (fma.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (/.f64 #s(literal -1 binary64) y) x)))
(if (<=.f64 y #s(literal -60000000000 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 7926335344172073/18014398509481984 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 -60000000000 binary64)) (+.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (if (<=.f64 y #s(literal 7926335344172073/18014398509481984 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 -950 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 -950 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 -60000000000 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(if (<=.f64 y #s(literal -60000000000 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y) x) (+.f64 (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
(if (<=.f64 y #s(literal -60000000000 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 -60000000000 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))
(if (<=.f64 z #s(literal -18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (/ (pow (/ y (+ y z)) y) y) #s(approx (+ (* (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(if (<=.f64 z #s(literal -18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (/ (pow (/ y (+ y z)) y) y) #s(approx (+ (* (+ (* (+ (/ 1/2 (* y y)) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) (+.f64 (/.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))

soundness757.0ms (7.3%)

Memory

22.4MiB live, 715.7MiB allocated

Rules

10 548×	`lower-fma.f64`
10 548×	`lower-fma.f32`
9 476×	`lower-fma.f64`
9 476×	`lower-fma.f32`
8 968×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	520	3809
1	1535	3201
2	5319	2873
0	8124	2727
0	622	15255
1	1896	13195
2	6268	12806
0	8178	12196
0	54	381
0	80	371
1	348	371
2	2642	371
0	9949	358
0	1006	15310
1	3206	13575
0	8254	12965

Stop Event

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

Compiler

Compiled 289 to 191 computations (33.9% saved)

preprocess141.0ms (1.4%)

Memory: -23.1MiB live, 160.0MiB allocated
Compiler: Compiled 412 to 176 computations (57.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze249.0ms (2.4%)

sample2.3s (22%)

explain261.0ms (2.5%)

preprocess242.0ms (2.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0%)

localize159.0ms (1.5%)

series125.0ms (1.2%)

simplify338.0ms (3.3%)

rewrite162.0ms (1.6%)

eval56.0ms (0.5%)

prune19.0ms (0.2%)

simplify195.0ms (1.9%)

localize236.0ms (2.3%)

series114.0ms (1.1%)

simplify232.0ms (2.2%)

rewrite287.0ms (2.8%)

eval284.0ms (2.7%)

prune76.0ms (0.7%)

simplify465.0ms (4.5%)

localize339.0ms (3.3%)

series64.0ms (0.6%)

simplify294.0ms (2.8%)

rewrite338.0ms (3.3%)

eval260.0ms (2.5%)

prune68.0ms (0.7%)

simplify231.0ms (2.2%)

localize307.0ms (3%)

series85.0ms (0.8%)

simplify260.0ms (2.5%)

rewrite356.0ms (3.4%)

eval184.0ms (1.8%)

prune226.0ms (2.2%)

regimes188.0ms (1.8%)

regimes30.0ms (0.3%)

regimes98.0ms (0.9%)

regimes22.0ms (0.2%)

regimes38.0ms (0.4%)

regimes41.0ms (0.4%)

regimes16.0ms (0.1%)

regimes37.0ms (0.4%)

bsearch61.0ms (0.6%)

bsearch2.0ms (0%)

bsearch48.0ms (0.5%)

bsearch2.0ms (0%)

bsearch3.0ms (0%)

bsearch47.0ms (0.5%)

simplify33.0ms (0.3%)

soundness757.0ms (7.3%)

preprocess141.0ms (1.4%)

end0.0ms (0%)

Profiling