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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze309.0ms (3.1%)

Memory

-18.5MiB live, 465.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 12 computations (20% saved)

sample2.2s (21.8%)

Memory

15.8MiB live, 2 365.1MiB allocated

Samples

893.0ms	2 231×	1	valid
791.0ms	6 025×	0	valid
106.0ms	895×	0	invalid
4.0ms	30×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-log: 557.0ms (39.5% of total)

ival-div: 296.0ms (21% of total)

ival-exp: 198.0ms (14.1% of total)

ival-add: 161.0ms (11.4% of total)

ival-mult: 139.0ms (9.9% of total)

adjust: 47.0ms (3.3% of total)

ival-true: 8.0ms (0.6% of total)

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

Bogosity

explain270.0ms (2.7%)

Memory

19.1MiB live, 417.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
147	36	(-2.710824056416358e-183 6.702408872577093e+185 -1.3741211181476596e-240)	4	(-0.002696567805553522 1.727905739144004e-166 2.3874881276777046e+151)	`(log.f64 (/.f64 y (+.f64 z y)))`
38	0	-	2	(1.419638895113072e+62 2.3448983601272162e+30 4.8297849837433514e-285)	`(*.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	(9.352532855387961e-172 1.951030149777978e+237 -673.623603839422)	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	152	0
`log.f64`	`(log.f64 (/.f64 y (+.f64 z y)))`	uflow-rescue	23	0
↳	`(log.f64 (/.f64 y (+.f64 z y)))`	underflow	36
↳	`(/.f64 y (+.f64 z y))`	underflow	27
`*.f64`	`(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))`	*nu**	4	0
`exp.f64`	`(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))`	sensitivity	1	1

Confusion

	Predicted +	Predicted -
+	49	4
-	126	77

Precision

0.28

Recall

0.9245283018867925

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	49	0	4
-	126	0	77

Precision?

0.28

Recall?

0.9245283018867925

Freqs

test

number	freq
0	81
1	170
2	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

98.0ms	246×	1	valid
54.0ms	48×	2	valid
20.0ms	218×	0	valid

Compiler

Compiled 133 to 34 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-log: 78.0ms (53.1% of total)

ival-add: 34.0ms (23.1% of total)

ival-div: 13.0ms (8.8% of total)

ival-exp: 8.0ms (5.4% of total)

adjust: 7.0ms (4.8% of total)

ival-mult: 6.0ms (4.1% of total)

ival-true: 1.0ms (0.7% of total)

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

preprocess240.0ms (2.4%)

Memory

-26.7MiB live, 52.5MiB allocated

Algorithm

1×	egg-herbie

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)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.6%	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify3.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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

localize72.0ms (0.7%)

Memory

30.0MiB live, 102.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.015625	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
accuracy	0.01953125	(/.f64 y (+.f64 z y))
accuracy	8.760563259018383	(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
accuracy	33.41095908741876	(log.f64 (/.f64 y (+.f64 z y)))

Samples

38.0ms	123×	1	valid
16.0ms	24×	2	valid
10.0ms	109×	0	valid

Compiler

Compiled 60 to 12 computations (80% saved)

Precisions

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

ival-log: 28.0ms (55.1% of total)

ival-div: 6.0ms (11.8% of total)

ival-add: 5.0ms (9.8% of total)

adjust: 4.0ms (7.9% of total)

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

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

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

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

series58.0ms (0.6%)

Memory

-20.4MiB live, 98.6MiB allocated

Counts

6 → 156

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1))) (taylor 0 z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1))) (taylor 0 z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ 1 y)) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ z y)) (/ 1 y))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 z) (#s(alt (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) (patch (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (/ 1 y)) (taylor 0 z) (#s(alt (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) (patch (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) (taylor 0 z) (#s(alt (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) (patch (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)) (taylor 0 z) (#s(alt (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) (patch (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (.f64 y (log.f64 (/.f64 y (+.f64 z y)))) (patch (.f64 y (log.f64 (/.f64 y (+.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ z y)) 1)) (taylor 0 z) (#s(alt (.f64 y (log.f64 (/.f64 y (+.f64 z y)))) (patch (.f64 y (log.f64 (/.f64 y (+.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* z (+ (* -1/3 (/ z (pow y 2))) (* 1/2 (/ 1 y)))) 1)) (taylor 0 z) (#s(alt (.f64 y (log.f64 (/.f64 y (+.f64 z y)))) (patch (.f64 y (log.f64 (/.f64 y (+.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 3))) (* 1/3 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))) 1)) (taylor 0 z) (#s(alt (.f64 y (log.f64 (/.f64 y (+.f64 z y)))) (patch (.f64 y (log.f64 (/.f64 y (+.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z y)) (taylor 0 z) (#s(alt (log.f64 (/.f64 y (+.f64 z y))) (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 1/2 (/ z (pow y 2))) (/ 1 y))) (taylor 0 z) (#s(alt (log.f64 (/.f64 y (+.f64 z y))) (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* z (+ (* -1/3 (/ z (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (taylor 0 z) (#s(alt (log.f64 (/.f64 y (+.f64 z y))) (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 4))) (* 1/3 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (taylor 0 z) (#s(alt (log.f64 (/.f64 y (+.f64 z y))) (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (/.f64 y (+.f64 z y)) (patch (/.f64 y (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ z y))) (taylor 0 z) (#s(alt (/.f64 y (+.f64 z y)) (patch (/.f64 y (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- (/ z (pow y 2)) (/ 1 y)))) (taylor 0 z) (#s(alt (/.f64 y (+.f64 z y)) (patch (/.f64 y (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))) (taylor 0 z) (#s(alt (/.f64 y (+.f64 z y)) (patch (/.f64 y (+.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (exp (* y (+ (log y) (log (/ 1 z))))) (taylor inf z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z))) (taylor inf z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))) (taylor inf z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))) (taylor inf z) (#s(alt (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) (taylor inf z) (#s(alt (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))) (taylor inf z) (#s(alt (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
22.0ms	x	@	0	((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))) (/ y (+ z y)))
7.0ms	z	@	0	((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))) (/ y (+ z y)))
6.0ms	y	@	inf	((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))) (/ y (+ z y)))
4.0ms	y	@	-inf	((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))) (/ y (+ z y)))
4.0ms	z	@	inf	((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))) (/ y (+ z y)))

simplify186.0ms (1.8%)

Memory

10.0MiB live, 172.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	603	4112
1	1814	3486
2	6083	3379
0	8215	3225

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 152

Calls

Call 1

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

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

rewrite140.0ms (1.4%)

Memory

13.0MiB live, 209.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Counts

6 → 332

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval77.0ms (0.8%)

Memory: -8.4MiB live, 148.6MiB allocated
Compiler: Compiled 12 636 to 2 389 computations (81.1% saved)

prune15.0ms (0.1%)

Memory

6.4MiB live, 43.8MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

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

Accuracy

100.0%

Counts

485 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.6%	(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
	80.6%	(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 z y)) (neg.f64 y))) y))
	81.8%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
▶	52.1%	(+.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))
▶	58.3%	(+.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))
	62.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
▶	82.8%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
	52.3%	(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))))
▶	35.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
▶	38.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))

Compiler

Compiled 258 to 210 computations (18.6% saved)

simplify268.0ms (2.6%)

Memory

-18.3MiB live, 215.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y (+.f64 y z))
cost-diff	0	(pow.f64 (/.f64 y (+.f64 y z)) y)
cost-diff	0	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
cost-diff	0	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
cost-diff	640	(fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
cost-diff	0	(/.f64 #s(literal 1 binary64) y)
cost-diff	0	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize265.0ms (2.6%)

Memory

31.1MiB live, 414.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.015625	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
accuracy	0.01953125	(/.f64 y (+.f64 y z))
accuracy	17.085216266432607	(pow.f64 (/.f64 y (+.f64 y z)) y)
accuracy	31.712883615075032	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
accuracy	0.8113744645181145	(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
accuracy	1.6762895069089097	(fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64))
accuracy	2.6960586199870296	(fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))
accuracy	29.112876722800014	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)))
accuracy	0.015625	(/.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	0.02734375	(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	0.05078125	(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64))
accuracy	29.26293805826487	#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	39.5387866563665	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
accuracy	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
accuracy	0.015625	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)
accuracy	18.06120699290914	#s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64))

Samples

145.0ms	122×	1	valid
57.0ms	134×	0	valid

Compiler

Compiled 311 to 39 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-add: 38.0ms (27.6% of total)

ival-div: 23.0ms (16.7% of total)

ival-log: 20.0ms (14.5% of total)

ival-pow: 18.0ms (13.1% of total)

ival-mult: 15.0ms (10.9% of total)

adjust: 10.0ms (7.3% of total)

const: 8.0ms (5.8% of total)

ival-exp: 4.0ms (2.9% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series104.0ms (1%)

Memory

-14.8MiB live, 100.5MiB allocated

Counts

20 → 516

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
34.0ms	y	@	0	((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (/ y (+ y z)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ 1/3 (* y y)))
3.0ms	z	@	-inf	((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (/ y (+ y z)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ 1/3 (* y y)))
3.0ms	z	@	inf	((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (/ y (+ y z)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ 1/3 (* y y)))
3.0ms	y	@	-inf	((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (/ y (+ y z)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ 1/3 (* y y)))
2.0ms	y	@	inf	((+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (/ y (+ y z)) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ 1/3 (* y y)))

simplify229.0ms (2.3%)

Memory

20.5MiB live, 238.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 496

Calls

Call 1

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

Outputs
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 z y))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (/.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 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (/.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 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))
(+ 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 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (/.f64 z y) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y))) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(+ x (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 z y))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (/.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 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (/.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 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))
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))
(+ 1/2 (* 1/2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))
(fma.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))
(fma.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))
(fma.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))
(+ 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 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (/.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 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (/.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 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))
(+ 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 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (/.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 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (/.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)))
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1
#s(literal 1 binary64)
(+ 1 (* -1 (/ z y)))
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-1
#s(literal -1 binary64)
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64))
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64))
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64))
(- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)
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(- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)
(fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64))
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))
(+.f64 (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y) x)
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)))
(fma.f64 (neg.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z)))) (/.f64 y z) (+.f64 (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y) x))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) (neg.f64 (/.f64 y z)) x) (fma.f64 (.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) (.f64 (*.f64 z z) y)) (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y)))
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))))
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(/ (exp (* y (+ (log y) (log (/ 1 z))))) y)
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1
#s(literal 1 binary64)
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rewrite202.0ms (2%)

Memory

-35.7MiB live, 203.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

20 → 434

Calls

Call 1

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

Outputs
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eval167.0ms (1.6%)

Memory: 40.4MiB live, 268.0MiB allocated
Compiler: Compiled 26 680 to 2 762 computations (89.6% saved)

prune61.0ms (0.6%)

Memory

-6.6MiB live, 117.5MiB allocated

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	911	19	930
Fresh	2	3	5
Picked	3	2	5
Done	0	0	0
Total	916	24	940

Accuracy

100.0%

Counts

940 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.6%	(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
▶	81.8%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
	62.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
	42.1%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
	63.6%	(+.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))
	58.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y))
	40.8%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal -1 binary64)) y (.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z)) y (.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) y))
	53.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64)) z) y (.f64 (*.f64 #s(literal -1/3 binary64) z) z)) y) y)) z #s(literal 1 binary64))) y))
▶	51.6%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) z #s(literal 1 binary64))) y))
	57.5%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (.f64 (.f64 z (/.f64 (/.f64 z y) y)) #s(literal -1/3 binary64))) z #s(literal 1 binary64))) y))
	56.3%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 (/.f64 #s(literal 1 binary64) (-.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)) z))) (/.f64 (pow.f64 (.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z) #s(literal 2 binary64)) (-.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)) z))))) y))
	62.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
	57.3%	(+.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))
▶	41.3%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (.f64 (.f64 z (/.f64 z y)) #s(literal 1/2 binary64)))) y))
✓	82.8%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
▶	13.8%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
	30.0%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ y z)) (/.f64 y z)) y) y))
	35.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 z y)) (neg.f64 y))) y))
	19.7%	#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 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
	23.9%	#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))
▶	23.7%	#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))
	35.1%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (exp.f64 (neg.f64 z))) y))
✓	38.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
	23.7%	#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))))

Compiler

Compiled 778 to 599 computations (23% saved)

simplify255.0ms (2.5%)

Memory

4.5MiB live, 191.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	587
0	89	587
1	136	566
2	236	566
3	737	566
4	2197	566
5	4073	566
6	6213	566
0	8080	537

Stop Event

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

Calls

Call 1

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

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

localize389.0ms (3.8%)

Memory

-25.2MiB live, 386.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	30.8043153954473	(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
accuracy	48.79462337205725	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
accuracy	0.8113744645181145	(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
accuracy	6.552013902887197	(.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))
accuracy	27.51937246161402	#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z)))
accuracy	29.112876722800014	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 y y)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 z z))) z #s(literal 1 binary64)))
accuracy	0.015625	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (.f64 (.f64 z (/.f64 z y)) #s(literal 1/2 binary64)))) y)
accuracy	0.125	(*.f64 z (/.f64 z y))
accuracy	29.26293805826487	#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (.f64 (.f64 z (/.f64 z y)) #s(literal 1/2 binary64))))
accuracy	45.05058350586997	#s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (.f64 (.f64 z (/.f64 z y)) #s(literal 1/2 binary64)))
accuracy	0	(-.f64 #s(literal 1 binary64) z)
accuracy	0.015625	(/.f64 #s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z)) y)
accuracy	28.53765046622481	#s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z))
accuracy	31.712883615075032	#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	(neg.f64 z)
accuracy	0	(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
accuracy	0.015625	(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)
accuracy	25.016779518600547	#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))

Samples

184.0ms	123×	1	valid
63.0ms	109×	0	valid
48.0ms	24×	2	valid

Compiler

Compiled 312 to 49 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 220.0ms

ival-mult: 59.0ms (26.8% of total)

adjust: 46.0ms (20.9% of total)

ival-log: 26.0ms (11.8% of total)

ival-add: 23.0ms (10.5% of total)

ival-pow: 22.0ms (10% of total)

ival-div: 20.0ms (9.1% of total)

const: 15.0ms (6.8% of total)

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

ival-sub: 3.0ms (1.4% of total)

exact: 1.0ms (0.5% of total)

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

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

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

series62.0ms (0.6%)

Memory

27.0MiB live, 149.2MiB allocated

Counts

23 → 552

Calls

Call 1

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

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

Calls

9 calls:

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

simplify308.0ms (3%)

Memory

6.2MiB live, 422.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	14113
1	1645	12183
2	5647	10956
0	8488	10380

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 532

Calls

Call 1

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

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

rewrite230.0ms (2.3%)

Memory

-14.2MiB live, 306.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	486
0	89	470
1	402	462
2	3497	462
0	9183	441

Stop Event

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

Counts

23 → 297

Calls

Call 1

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

Outputs
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eval170.0ms (1.7%)

Memory: 5.3MiB live, 240.2MiB allocated
Compiler: Compiled 19 765 to 2 118 computations (89.3% saved)

prune73.0ms (0.7%)

Memory

38.0MiB live, 112.1MiB allocated

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	843	7	850
Fresh	4	13	17
Picked	1	4	5
Done	0	2	2
Total	848	26	874

Accuracy

100.0%

Counts

874 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.6%	(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
✓	81.8%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
	62.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
	42.1%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (*.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
	63.6%	(+.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))
	58.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y))
	57.5%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (.f64 (.f64 z (/.f64 (/.f64 z y) y)) #s(literal -1/3 binary64))) z #s(literal 1 binary64))) y))
▶	45.0%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (/.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) z) z (.f64 (.f64 (.f64 z z) (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))) y)) (*.f64 y y)))) z #s(literal 1 binary64))) y))
	62.9%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (.f64 #s(literal -1/6 binary64) (.f64 z z)))) z #s(literal 1 binary64))) y))
	56.3%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 (/.f64 #s(literal 1 binary64) (-.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)) z))) (/.f64 (pow.f64 (.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z) #s(literal 2 binary64)) (-.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)) z))))) y))
	62.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
	60.6%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) z)))) y))) y))
✓	41.3%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (.f64 (.f64 z (/.f64 z y)) #s(literal 1/2 binary64)))) y))
✓	82.8%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
✓	13.8%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
	30.0%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ y z)) (/.f64 y z)) y) y))
	35.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 z y)) (neg.f64 y))) y))
	19.7%	#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 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (/.f64 #s(literal 1/2 binary64) y)) z (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
▶	23.9%	#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))
✓	23.7%	#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))
	35.1%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (exp.f64 (neg.f64 z))) y))
	3.1%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) #s(approx (- 1 z) (neg.f64 z))) y))
▶	23.7%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)))))
✓	38.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
▶	2.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
	23.7%	#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))))

Compiler

Compiled 702 to 555 computations (20.9% saved)

simplify232.0ms (2.3%)

Memory

-30.1MiB live, 194.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (/.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) z) z (.f64 (.f64 (.f64 z z) (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))) y)) (*.f64 y y)))) z #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (/.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) z) z (.f64 (.f64 (.f64 z z) (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))) y)) (*.f64 y y)))) z #s(literal 1 binary64))) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (/.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) z) z (.f64 (.f64 (.f64 z z) (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))) y)) (*.f64 y y)))) z #s(literal 1 binary64))) y))
cost-diff	640	(fma.f64 (.f64 #s(literal -1/3 binary64) z) z (.f64 (.f64 (.f64 z z) (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))) y))
cost-diff	0	(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))
cost-diff	0	#s(approx (pow (/ y (+ y z)) y) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (pow (/ y (+ y z)) y) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)
cost-diff	0	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))
cost-diff	0	(/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)))
cost-diff	0	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	#s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))
cost-diff	0	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) 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)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	719
0	102	719
1	165	694
2	310	666
3	930	666
4	2621	666
5	4808	666
6	6730	666
0	8051	637

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

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

localize430.0ms (4.2%)

Memory

8.1MiB live, 596.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	4.811255439326811	(.f64 (.f64 z z) (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)))
accuracy	13.451548507182439	(/.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) z) z (.f64 (.f64 (.f64 z z) (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))) y)) (*.f64 y y))
accuracy	16.726505015789666	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (/.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) z) z (.f64 (.f64 (.f64 z z) (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))) y)) (*.f64 y y)))) z #s(literal 1 binary64)))
accuracy	27.275081380628443	#s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (/.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) z) z (.f64 (.f64 (.f64 z z) (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64))) y)) (*.f64 y y))))
accuracy	0.02734375	(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	0.05078125	(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64))
accuracy	16.148209151465334	#s(approx (pow (/ y (+ y z)) y) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)))
accuracy	22.855107334012246	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))))
accuracy	0.01953125	(/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)))
accuracy	13.06292213758506	#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))
accuracy	22.855107334012246	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)))))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	25.452891092483156	#s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))
accuracy	33.275922775091395	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))
accuracy	0	(+.f64 z y)
accuracy	0.00390625	(/.f64 y (+.f64 z y))
accuracy	0.015625	(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
accuracy	8.124394395242554	(pow.f64 (/.f64 y (+.f64 z y)) y)

Samples

185.0ms	86×	1	valid
73.0ms	106×	0	valid
45.0ms	35×	1	exit
42.0ms	29×	0	exit

Compiler

Compiled 358 to 61 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 272.0ms

ival-pow: 83.0ms (30.6% of total)

ival-add: 65.0ms (23.9% of total)

ival-mult: 37.0ms (13.6% of total)

ival-div: 30.0ms (11% of total)

ival-log: 17.0ms (6.3% of total)

adjust: 15.0ms (5.5% of total)

const: 15.0ms (5.5% of total)

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

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

exact: 1.0ms (0.4% of total)

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

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

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

series117.0ms (1.2%)

Memory

-9.2MiB live, 143.7MiB allocated

Counts

24 → 612

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

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

Calls

9 calls:

Time	Variable		Point	Expression
27.0ms	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) -1/2) (/ -1 y) (/ 1 (/ y (exp (* y (log (/ y (+ z y))))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ y (exp (* y (log (/ y (+ z y)))))) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (* -1/3 z) z) (* (* (* z z) (+ (* -1/6 y) -1/2)) y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ z y) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ (+ (* (* -1/3 z) z) (* (* (* z z) (+ (* -1/6 y) -1/2)) y)) (* y y)) (* (* z z) (+ (* -1/6 y) -1/2)))
5.0ms	x	@	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) -1/2) (/ -1 y) (/ 1 (/ y (exp (* y (log (/ y (+ z y))))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ y (exp (* y (log (/ y (+ z y)))))) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (* -1/3 z) z) (* (* (* z z) (+ (* -1/6 y) -1/2)) y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ z y) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ (+ (* (* -1/3 z) z) (* (* (* z z) (+ (* -1/6 y) -1/2)) y)) (* y y)) (* (* z z) (+ (* -1/6 y) -1/2)))
5.0ms	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) -1/2) (/ -1 y) (/ 1 (/ y (exp (* y (log (/ y (+ z y))))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ y (exp (* y (log (/ y (+ z y)))))) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (* -1/3 z) z) (* (* (* z z) (+ (* -1/6 y) -1/2)) y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ z y) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ (+ (* (* -1/3 z) z) (* (* (* z z) (+ (* -1/6 y) -1/2)) y)) (* y y)) (* (* z z) (+ (* -1/6 y) -1/2)))
5.0ms	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) -1/2) (/ -1 y) (/ 1 (/ y (exp (* y (log (/ y (+ z y))))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ y (exp (* y (log (/ y (+ z y)))))) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (* -1/3 z) z) (* (* (* z z) (+ (* -1/6 y) -1/2)) y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ z y) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ (+ (* (* -1/3 z) z) (* (* (* z z) (+ (* -1/6 y) -1/2)) y)) (* y y)) (* (* z z) (+ (* -1/6 y) -1/2)))
4.0ms	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) -1/2) (/ -1 y) (/ 1 (/ y (exp (* y (log (/ y (+ z y))))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ y (exp (* y (log (/ y (+ z y)))))) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (pow (/ y (+ y z)) y) y) (pow (/ y (+ y z)) y) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (+ (* (* -1/3 z) z) (* (* (* z z) (+ (* -1/6 y) -1/2)) y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (+ z y) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) (/ (+ (* (* -1/3 z) z) (* (* (* z z) (+ (* -1/6 y) -1/2)) y)) (* y y)) (* (* z z) (+ (* -1/6 y) -1/2)))

simplify284.0ms (2.8%)

Memory

35.4MiB live, 305.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	775	16158
1	2495	14010
0	8474	13330

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 584

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

rewrite229.0ms (2.3%)

Memory

-15.4MiB live, 270.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	567
0	102	547
1	467	535
2	3765	535
0	9531	523

Stop Event

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

Counts

24 → 496

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

Outputs
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eval255.0ms (2.5%)

Memory: 26.2MiB live, 329.5MiB allocated
Compiler: Compiled 30 121 to 3 943 computations (86.9% saved)

prune91.0ms (0.9%)

Memory

-10.9MiB live, 124.7MiB allocated

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	1 068	12	1 080
Fresh	8	7	15
Picked	4	1	5
Done	0	6	6
Total	1 080	26	1 106

Accuracy

100.0%

Counts

1 106 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.3%	(+.f64 (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y) x)
	62.7%	(+.f64 (/.f64 #s(approx (pow (/ y (+ z y)) y) (-.f64 #s(literal 1 binary64) z)) y) x)
✓	81.8%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
	62.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y))
	32.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (/.f64 #s(approx (+ (* (* -1/3 z) z) (* (* (* z z) (+ (* -1/6 y) -1/2)) y)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) z) z)) (*.f64 y y)))) z #s(literal 1 binary64))) y))
	46.2%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (/.f64 #s(approx (+ (* (* -1/3 z) z) (* (* (* z z) (+ (* -1/6 y) -1/2)) y)) (.f64 (.f64 (.f64 (.f64 z z) y) y) #s(literal -1/6 binary64))) (*.f64 y y)))) z #s(literal 1 binary64))) y))
	51.7%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (/.f64 #s(approx (+ (* (* -1/3 z) z) (* (* (* z z) (+ (* -1/6 y) -1/2)) y)) (.f64 #s(literal -1/3 binary64) (.f64 z z))) (*.f64 y y)))) z #s(literal 1 binary64))) y))
	62.9%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) (.f64 #s(literal -1/6 binary64) (.f64 z z)))) z #s(literal 1 binary64))) y))
	43.1%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) #s(approx (/ (+ (* (* -1/3 z) z) (* (* (* z z) (+ (* -1/6 y) -1/2)) y)) (* y y)) (.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) y) (/.f64 (.f64 z z) y))))) z #s(literal 1 binary64))) y))
	60.6%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) z)))) y))) y))
✓	41.3%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (.f64 (.f64 z (/.f64 z y)) #s(literal 1/2 binary64)))) y))
✓	82.8%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
✓	13.8%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)))
	30.0%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 #s(approx (/ y (+ y z)) (/.f64 y z)) y) y))
	35.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 z y)) (neg.f64 y))) y))
	28.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y))
	24.7%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.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))
✓	23.7%	#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))
	35.1%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) (exp.f64 (neg.f64 z))) y))
	3.1%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(approx (pow (/ y (+ y z)) y) #s(approx (- 1 z) (neg.f64 z))) y))
	19.7%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y (neg.f64 y)) (neg.f64 z) y) z y))))
	23.8%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (fma.f64 z y y))))
	35.1%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y))))
✓	38.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
	23.7%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 #s(approx (pow (/ y (+ y z)) y) (-.f64 #s(literal 1 binary64) z)))))
✓	2.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))

Compiler

Compiled 1 132 to 598 computations (47.2% saved)

regimes146.0ms (1.4%)

Memory

-13.2MiB live, 143.5MiB allocated

Counts

49 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

41.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
35.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
27.0ms	x
25.0ms	y
14.0ms	z

Results

Accuracy	Segments	Branch
89.7%	3	`x`
98.9%	3	`y`
89.5%	3	`z`
90.8%	3	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
92.9%	3	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`

Compiler

Compiled 27 to 28 computations (-3.7% saved)

regimes96.0ms (1%)

Memory

3.2MiB live, 113.2MiB allocated

Counts

40 → 3

Calls

Call 1

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

Outputs

(+.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(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:

33.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
20.0ms	y
18.0ms	z
11.0ms	x
11.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)

Results

Accuracy	Segments	Branch
89.4%	3	`z`
82.8%	1	`x`
82.8%	1	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
82.8%	1	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
85.6%	2	`y`

Compiler

Compiled 27 to 28 computations (-3.7% saved)

regimes13.0ms (0.1%)

Memory

27.3MiB live, 27.3MiB allocated

Counts

38 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
87.6%	3	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes101.0ms (1%)

Memory

-8.1MiB live, 31.0MiB allocated

Counts

34 → 3

Calls

Call 1

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

Outputs

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

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

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
87.2%	3	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes101.0ms (1%)

Memory

10.6MiB live, 45.0MiB allocated

Counts

28 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

91.0ms	z
8.0ms	y

Results

Accuracy	Segments	Branch
85.6%	2	`y`
82.8%	1	`z`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes89.0ms (0.9%)

Memory

-12.9MiB live, 24.8MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

88.0ms

Results

Accuracy	Segments	Branch
84.4%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes40.0ms (0.4%)

Memory

9.9MiB live, 48.2MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

24.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
5.0ms	y
5.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
5.0ms	z

Results

Accuracy	Segments	Branch
82.8%	1	`z`
82.8%	1	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
82.8%	1	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
82.8%	1	`y`

Compiler

Compiled 26 to 25 computations (3.8% saved)

regimes30.0ms (0.3%)

Memory

-20.8MiB live, 23.7MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

21.0ms	z
2.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
2.0ms	y
2.0ms	x
2.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)

Results

Accuracy	Segments	Branch
38.2%	1	`x`
38.2%	1	`y`
38.2%	1	`z`
38.2%	1	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
38.2%	1	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`

Compiler

Compiled 27 to 28 computations (-3.7% saved)

regimes7.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
2.2%	1	`z`
2.2%	1	`x`
2.2%	1	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
2.2%	1	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
2.2%	1	`y`

Compiler

Compiled 27 to 28 computations (-3.7% saved)

bsearch65.0ms (0.6%)

Memory

-12.1MiB live, 100.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.00026502741102780677	0.0024021820615700838
44.0ms	-672678612303532.3	-0.6415296900682196

Samples

21.0ms	256×	0	valid
6.0ms	80×	0	invalid

Compiler

Compiled 240 to 288 computations (-20% saved)

Precisions

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

ival-div: 5.0ms (28.1% of total)

ival-log: 4.0ms (22.5% of total)

ival-exp: 3.0ms (16.8% of total)

ival-add: 3.0ms (16.8% of total)

ival-mult: 2.0ms (11.2% of total)

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

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

bsearch108.0ms (1.1%)

Memory

2.9MiB live, 161.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	-673.623603839422	-39.52577812489188
67.0ms	-3.564268121394489e+206	-7.646299824814073e+198

Samples

41.0ms	149×	0	invalid
34.0ms	115×	1	valid
12.0ms	141×	0	valid

Compiler

Compiled 224 to 288 computations (-28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-div: 37.0ms (50.2% of total)

ival-log: 18.0ms (24.4% of total)

ival-exp: 6.0ms (8.1% of total)

ival-add: 5.0ms (6.8% of total)

ival-mult: 4.0ms (5.4% of total)

adjust: 2.0ms (2.7% of total)

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

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

bsearch51.0ms (0.5%)

Memory

21.0MiB live, 143.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
46.0ms	-983857.4989419748	-673.623603839422
2.0ms	-3.564268121394489e+206	-7.646299824814073e+198

Samples

24.0ms	82×	1	valid
10.0ms	32×	0	invalid
4.0ms	46×	0	valid

Compiler

Compiled 645 to 543 computations (15.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-log: 11.0ms (44% of total)

ival-div: 4.0ms (16% of total)

ival-exp: 4.0ms (16% of total)

ival-mult: 3.0ms (12% of total)

ival-add: 3.0ms (12% of total)

adjust: 2.0ms (8% of total)

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

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

bsearch5.0ms (0.1%)

Memory

-30.7MiB live, 8.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	-983857.4989419748	-673.623603839422
2.0ms	-3.564268121394489e+206	-7.646299824814073e+198

Compiler

Compiled 560 to 509 computations (9.1% saved)

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	-672678612303532.3	-0.6415296900682196

Compiler

Compiled 286 to 256 computations (10.5% saved)

bsearch2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-672678612303532.3	-0.6415296900682196

Compiler

Compiled 236 to 246 computations (-4.2% saved)

simplify28.0ms (0.3%)

Memory

25.0MiB live, 66.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	532
1	144	532
2	146	532
3	147	532

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -5404319552844595/4503599627370496 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 5534023222112865/2305843009213693952 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 -3799999999999999818087971936281924691852098655032561231216274172158055449734666775682231687784775893502049986496848542942972330454275286531364270823761333140991036094928809156795472681374904173001539846144 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (if (<=.f64 z #s(literal -320 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 -3799999999999999818087971936281924691852098655032561231216274172158055449734666775682231687784775893502049986496848542942972330454275286531364270823761333140991036094928809156795472681374904173001539846144 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (if (<=.f64 z #s(literal -1260 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))))
(if (<=.f64 z #s(literal -3799999999999999818087971936281924691852098655032561231216274172158055449734666775682231687784775893502049986496848542942972330454275286531364270823761333140991036094928809156795472681374904173001539846144 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (if (<=.f64 z #s(literal -1260 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) #s(approx (/ (+ (* (* -1/3 z) z) (* (* (* z z) (+ (* -1/6 y) -1/2)) y)) (* y y)) (.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) y) (/.f64 (.f64 z 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 -5404319552844595/4503599627370496 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) z)))) y))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(if (<=.f64 y #s(literal -5404319552844595/4503599627370496 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))

Outputs
(if (<=.f64 y #s(literal -5404319552844595/4503599627370496 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 5534023222112865/2305843009213693952 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 -5404319552844595/4503599627370496 binary64)) (+.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (if (<=.f64 y #s(literal 5534023222112865/2305843009213693952 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 -3799999999999999818087971936281924691852098655032561231216274172158055449734666775682231687784775893502049986496848542942972330454275286531364270823761333140991036094928809156795472681374904173001539846144 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (if (<=.f64 z #s(literal -320 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 -3799999999999999818087971936281924691852098655032561231216274172158055449734666775682231687784775893502049986496848542942972330454275286531364270823761333140991036094928809156795472681374904173001539846144 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (if (<=.f64 z #s(literal -320 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 z #s(literal -3799999999999999818087971936281924691852098655032561231216274172158055449734666775682231687784775893502049986496848542942972330454275286531364270823761333140991036094928809156795472681374904173001539846144 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (if (<=.f64 z #s(literal -1260 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))))
(if (<=.f64 z #s(literal -3799999999999999818087971936281924691852098655032561231216274172158055449734666775682231687784775893502049986496848542942972330454275286531364270823761333140991036094928809156795472681374904173001539846144 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (if (<=.f64 z #s(literal -1260 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (fma.f64 #s(literal -1/2 binary64) z #s(literal 1/2 binary64))) y (.f64 #s(literal -1/3 binary64) z)) y) y)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) x) (+.f64 (/.f64 #s(approx (exp ( y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x)))
(if (<=.f64 z #s(literal -3799999999999999818087971936281924691852098655032561231216274172158055449734666775682231687784775893502049986496848542942972330454275286531364270823761333140991036094928809156795472681374904173001539846144 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (if (<=.f64 z #s(literal -1260 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) #s(approx (/ (+ (* (* -1/3 z) z) (* (* (* z z) (+ (* -1/6 y) -1/2)) y)) (* y y)) (.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) y) (/.f64 (.f64 z 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 z #s(literal -3799999999999999818087971936281924691852098655032561231216274172158055449734666775682231687784775893502049986496848542942972330454275286531364270823761333140991036094928809156795472681374904173001539846144 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (if (<=.f64 z #s(literal -1260 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) #s(approx (* (- -1/6 (+ (/ 1/3 (* y y)) (/ 1/2 y))) (* z z)) #s(approx (/ (+ (* (* -1/3 z) z) (* (* (* z z) (+ (* -1/6 y) -1/2)) y)) (* y y)) (.f64 (/.f64 (.f64 z z) y) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal -1/2 binary64)) y #s(literal -1/3 binary64)) 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 -5404319552844595/4503599627370496 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 y (.f64 z (fma.f64 y (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) z)))) y))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(if (<=.f64 y #s(literal -5404319552844595/4503599627370496 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (+.f64 (.f64 (fma.f64 y (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) z)) z) y) y))) y) x) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
(if (<=.f64 y #s(literal -5404319552844595/4503599627370496 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #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 -5404319552844595/4503599627370496 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) x) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x)
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)))

soundness1.1s (10.8%)

Memory

-25.0MiB live, 742.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	14113
1	1645	12183
2	5647	10956
0	8488	10380
0	562	13926
1	1758	12099
2	5803	11745
0	8115	11147
0	603	4112
1	1814	3486
2	6083	3379
0	8215	3225
0	43	348
0	71	326
1	331	326
2	2865	326
0	8169	321
0	775	16158
1	2495	14010
0	8474	13330

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
1×	iter limit
1×	node limit

Compiler

Compiled 302 to 208 computations (31.1% saved)

preprocess152.0ms (1.5%)

Memory: -9.4MiB live, 235.8MiB allocated
Compiler: Compiled 536 to 236 computations (56% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze309.0ms (3.1%)

sample2.2s (21.8%)

explain270.0ms (2.7%)

preprocess240.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize72.0ms (0.7%)

series58.0ms (0.6%)

simplify186.0ms (1.8%)

rewrite140.0ms (1.4%)

eval77.0ms (0.8%)

prune15.0ms (0.1%)

simplify268.0ms (2.6%)

localize265.0ms (2.6%)

series104.0ms (1%)

simplify229.0ms (2.3%)

rewrite202.0ms (2%)

eval167.0ms (1.6%)

prune61.0ms (0.6%)

simplify255.0ms (2.5%)

localize389.0ms (3.8%)

series62.0ms (0.6%)

simplify308.0ms (3%)

rewrite230.0ms (2.3%)

eval170.0ms (1.7%)

prune73.0ms (0.7%)

simplify232.0ms (2.3%)

localize430.0ms (4.2%)

series117.0ms (1.2%)

simplify284.0ms (2.8%)

rewrite229.0ms (2.3%)

eval255.0ms (2.5%)

prune91.0ms (0.9%)

regimes146.0ms (1.4%)

regimes96.0ms (1%)

regimes13.0ms (0.1%)

regimes101.0ms (1%)

regimes101.0ms (1%)

regimes89.0ms (0.9%)

regimes40.0ms (0.4%)

regimes30.0ms (0.3%)

regimes7.0ms (0.1%)

bsearch65.0ms (0.6%)

bsearch108.0ms (1.1%)

bsearch51.0ms (0.5%)

bsearch5.0ms (0.1%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

simplify28.0ms (0.3%)

soundness1.1s (10.8%)

preprocess152.0ms (1.5%)

end0.0ms (0%)

Profiling