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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze288.0ms (3%)

Memory

-4.1MiB live, 354.8MiB 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)

sample2.1s (22%)

Memory

73.5MiB live, 2 597.7MiB allocated

Samples

946.0ms	2 134×	1	valid
671.0ms	6 122×	0	valid
92.0ms	974×	0	invalid
3.0ms	26×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-log: 601.0ms (46.8% of total)

ival-div: 212.0ms (16.5% of total)

ival-add: 185.0ms (14.4% of total)

ival-exp: 130.0ms (10.1% of total)

ival-mult: 101.0ms (7.9% of total)

adjust: 43.0ms (3.3% of total)

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

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

Bogosity

explain222.0ms (2.3%)

Memory

-31.5MiB live, 293.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
148	35	(1.132948112384898e+74 -1.9177632435446188e+233 2.9918393823958693e-96)	1	(-9.458688209340713e+139 7.090014422723457e-53 3.818674177714259e+263)	`(log.f64 (/.f64 y (+.f64 z y)))`
38	0	-	3	(-4.787846954876364e-26 -17425209527861414000.0 6.603349992104904e-292)	`(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))`
1	0	-	0	-	`(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))`
0	0	-	0	-	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
0	0	-	0	-	`z`
0	0	-	0	-	`(/.f64 y (+.f64 z y))`
0	0	-	0	-	`(+.f64 z y)`
0	0	-	0	-	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
0	0	-	0	-	`y`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (/.f64 y (+.f64 z y)))`	sensitivity	171	0
`log.f64`	`(log.f64 (/.f64 y (+.f64 z y)))`	uflow-rescue	10	0
↳	`(log.f64 (/.f64 y (+.f64 z y)))`	underflow	35
↳	`(/.f64 y (+.f64 z y))`	underflow	11
`*.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	0

Confusion

	Predicted +	Predicted -
+	31	0
-	151	74

Precision

0.17032967032967034

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	31	0	0
-	151	0	74

Precision?

0.17032967032967034

Recall?

1.0

Freqs

test

number	freq
0	74
1	178
2	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

77.0ms	274×	1	valid
23.0ms	50×	2	valid
17.0ms	188×	0	valid

Compiler

Compiled 191 to 44 computations (77% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-log: 45.0ms (49.2% of total)

ival-div: 14.0ms (15.3% of total)

ival-exp: 9.0ms (9.8% of total)

ival-add: 9.0ms (9.8% of total)

adjust: 8.0ms (8.8% of total)

ival-mult: 6.0ms (6.6% of total)

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

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

preprocess240.0ms (2.5%)

Memory

-0.0MiB live, 38.3MiB 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 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.4%	(+.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

3.8MiB live, 3.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

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 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
x
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(pow.f64 (/.f64 y (+.f64 z y)) 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

localize70.0ms (0.7%)

Memory

9.1MiB live, 86.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.018778730164287515	(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))))
accuracy	0.0234375	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
accuracy	8.592898352616501	(*.f64 y (log.f64 (/.f64 y (+.f64 z y))))
accuracy	33.33627631982025	(log.f64 (/.f64 y (+.f64 z y)))

Samples

37.0ms	137×	1	valid
14.0ms	25×	2	valid
8.0ms	94×	0	valid

Compiler

Compiled 118 to 22 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-log: 23.0ms (49.3% of total)

ival-div: 6.0ms (12.9% of total)

ival-add: 6.0ms (12.9% of total)

adjust: 4.0ms (8.6% of total)

ival-exp: 4.0ms (8.6% of total)

ival-mult: 3.0ms (6.4% of total)

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

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

series46.0ms (0.5%)

Memory

14.6MiB live, 54.2MiB allocated

Counts

5 → 132

Calls

Call 1

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

Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ())
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Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	y	@	inf	((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))))
7.0ms	x	@	0	((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))))
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))))
3.0ms	z	@	-inf	((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))))
3.0ms	z	@	inf	((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))))

simplify199.0ms (2.1%)

Memory

-10.4MiB live, 176.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	520	3809
1	1535	3201
2	5309	2873
0	8114	2727

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 128

Calls

Call 1

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

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

rewrite329.0ms (3.4%)

Memory

-269.8MiB live, 158.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	47
0	17	47
1	64	41
2	458	41
3	6457	41
0	8028	41

Stop Event

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

Counts

5 → 264

Calls

Call 1

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

Outputs
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eval74.0ms (0.8%)

Memory: 6.8MiB live, 80.9MiB allocated
Compiler: Compiled 11 483 to 1 824 computations (84.1% saved)

prune23.0ms (0.2%)

Memory

-19.0MiB live, 31.3MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	380	12	392
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	381	12	393

Accuracy

100.0%

Counts

393 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.4%	(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
	15.8%	(+.f64 x (/.f64 (.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) y (.f64 z z))) y) (pow.f64 (-.f64 z y) y)) y))
▶	87.5%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
	64.4%	(+.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))
▶	73.7%	(+.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))
▶	71.4%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
	84.6%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
▶	89.4%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y))))
	71.4%	(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y))))
	82.8%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x))
	43.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
▶	40.0%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))

Compiler

Compiled 492 to 344 computations (30.1% saved)

simplify247.0ms (2.6%)

Memory

32.8MiB live, 70.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	286
0	59	286
1	79	272
2	108	268
3	185	268
4	359	268
5	596	268
6	1133	268
7	2200	268
8	2819	268
9	3549	268
10	4021	268
11	4442	268
12	4563	268
13	4705	268
14	4857	268
15	5274	268
16	5533	268
17	5575	268
18	5577	268
19	5583	268
20	5585	268
21	5585	268
22	5585	268
0	5585	264

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize350.0ms (3.6%)

Memory

6.8MiB live, 277.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
accuracy	0.018778730164287515	(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))
accuracy	0.0234375	(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)
accuracy	14.766251034095664	#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))
accuracy	0.0234375	(/.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	0.0390625	(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64))
accuracy	11.34548290326593	#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) z)
accuracy	0.00390625	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
accuracy	0.0234375	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)
accuracy	9.675265625063654	#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	24.495418609484737	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
accuracy	0.0078125	(/.f64 y (+.f64 z y))
accuracy	0.01171875	(/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y))
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (/.f64 y (+.f64 z y)) y)))
accuracy	3.8262446953729126	(pow.f64 (/.f64 y (+.f64 z y)) y)

Samples

258.0ms	119×	1	valid
32.0ms	68×	0	valid
16.0ms	12×	2	valid
13.0ms	22×	1	exit
8.0ms	35×	0	exit

Compiler

Compiled 513 to 65 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 286.0ms

ival-pow: 139.0ms (48.6% of total)

ival-div: 67.0ms (23.4% of total)

ival-log: 42.0ms (14.7% of total)

ival-add: 16.0ms (5.6% of total)

adjust: 9.0ms (3.1% of total)

ival-mult: 7.0ms (2.4% of total)

ival-exp: 4.0ms (1.4% of total)

ival-sub: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

exact: 0.0ms (0% of total)

series74.0ms (0.8%)

Memory

11.6MiB live, 119.2MiB allocated

Counts

20 → 516

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	z	@	inf	((/ 1 (/ y (pow (/ y (+ z y)) y))) (+ x (/ 1 (/ y (pow (/ y (+ z y)) y)))) (/ y (pow (/ y (+ z y)) y)) (pow (/ y (+ z y)) 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 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) (+ 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)))) (/ y (+ z y)) (+ (* (+ (/ 1/2 y) 1/2) z) -1))
12.0ms	y	@	-inf	((/ 1 (/ y (pow (/ y (+ z y)) y))) (+ x (/ 1 (/ y (pow (/ y (+ z y)) y)))) (/ y (pow (/ y (+ z y)) y)) (pow (/ y (+ z y)) 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 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) (+ 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)))) (/ y (+ z y)) (+ (* (+ (/ 1/2 y) 1/2) z) -1))
4.0ms	z	@	-inf	((/ 1 (/ y (pow (/ y (+ z y)) y))) (+ x (/ 1 (/ y (pow (/ y (+ z y)) y)))) (/ y (pow (/ y (+ z y)) y)) (pow (/ y (+ z y)) 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 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) (+ 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)))) (/ y (+ z y)) (+ (* (+ (/ 1/2 y) 1/2) z) -1))
4.0ms	y	@	inf	((/ 1 (/ y (pow (/ y (+ z y)) y))) (+ x (/ 1 (/ y (pow (/ y (+ z y)) y)))) (/ y (pow (/ y (+ z y)) y)) (pow (/ y (+ z y)) 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 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) (+ 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)))) (/ y (+ z y)) (+ (* (+ (/ 1/2 y) 1/2) z) -1))
2.0ms	y	@	0	((/ 1 (/ y (pow (/ y (+ z y)) y))) (+ x (/ 1 (/ y (pow (/ y (+ z y)) y)))) (/ y (pow (/ y (+ z y)) y)) (pow (/ y (+ z y)) 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 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) (+ 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)))) (/ y (+ z y)) (+ (* (+ (/ 1/2 y) 1/2) z) -1))

simplify233.0ms (2.4%)

Memory

-33.0MiB live, 222.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	768	15019
1	2444	12819
0	8370	12258

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 494

Calls

Call 1

Inputs
(/ 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)))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))
(/ 1 y)
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ x (/ 1 y))
(+ x (+ (* -1 (/ z y)) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)))
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)))
(/ 1 y)
(+ (* -1 (/ z y)) (/ 1 y))
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1)))
1
(+ 1 (* -1 z))
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1)))
(+ 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))
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)
(/ (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))))))
(+ 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)))))))
(/ y (exp (* y (+ (log y) (log (/ 1 z))))))
(+ (/ y (exp (* y (+ (log y) (log (/ 1 z)))))) (/ (pow y 3) (* z (exp (* y (+ (log y) (log (/ 1 z))))))))
(- (+ (* -1 (/ (+ (* -1 (/ (pow y 5) (exp (* y (+ (log y) (log (/ 1 z))))))) (/ (* y (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (exp (* y (+ (log y) (log (/ 1 z))))))) (pow z 2))) (/ y (exp (* y (+ (log y) (log (/ 1 z))))))) (* -1 (/ (pow y 3) (* z (exp (* y (+ (log y) (log (/ 1 z)))))))))
(- (+ (* -1 (/ (+ (* (pow y 2) (+ (* -1 (/ (pow y 5) (exp (* y (+ (log y) (log (/ 1 z))))))) (/ (* y (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (exp (* y (+ (log y) (log (/ 1 z)))))))) (+ (/ (* y (+ (* -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))))))))) (exp (* y (+ (log y) (log (/ 1 z)))))) (/ (* (pow y 3) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (exp (* y (+ (log y) (log (/ 1 z)))))))) (pow z 3))) (/ y (exp (* y (+ (log y) (log (/ 1 z))))))) (+ (* -1 (/ (pow y 3) (* z (exp (* y (+ (log y) (log (/ 1 z)))))))) (+ (* -1 (/ (pow y 5) (* (pow z 2) (exp (* y (+ (log y) (log (/ 1 z)))))))) (/ (* y (+ (* 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))))))))))
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(+ 1 (+ (* 1/2 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1))))
x
(+ x (/ (exp (* -1 z)) y))
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)))
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)))
(/ (exp (* -1 z)) y)
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y))
(exp (* -1 z))
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)))
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)))
(* -1 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
(+ 1 (* -1 (/ z y)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) (* -1 z)) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)) (* -1 z)) y)))
(- (* 1/2 z) 1)
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)
(/ (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
(/.f64 #s(literal 1 binary64) y)
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z 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))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (.f64 y y))) z) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+.f64 (-.f64 x (/.f64 z y)) (/.f64 #s(literal 1 binary64) 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))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (.f64 y y))) z) y)) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 (/.f64 #s(literal 1 binary64) y) x))
y
(fma.f64 z y y)
(fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y (neg.f64 y)) y) z y)
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (.f64 y y))) (fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 2 binary64) (neg.f64 y))) z (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y (neg.f64 y)))) z y) z y)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) z)
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+.f64 (-.f64 x (/.f64 z y)) (/.f64 #s(literal 1 binary64) 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))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (.f64 y y))) z) y)) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+.f64 (-.f64 x (/.f64 z y)) (/.f64 #s(literal 1 binary64) 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))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (.f64 y y))) z) y)) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 #s(literal 1 binary64) y)
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z 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))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (.f64 y y))) z) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) z)
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) z)
(-.f64 #s(literal 1 binary64) z)
(-.f64 #s(literal 1 binary64) z)
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+.f64 (-.f64 x (/.f64 z y)) (/.f64 #s(literal 1 binary64) 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))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (.f64 y y))) z) y)) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 #s(literal 1 binary64) y)
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z 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))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (.f64 y y))) z) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) z)
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) z)
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
(+.f64 (-.f64 x (/.f64 z y)) (/.f64 #s(literal 1 binary64) 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))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (.f64 y y))) z) y)) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 #s(literal 1 binary64) y)
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z 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))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (.f64 y y))) z) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) z)
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))
(neg.f64 z)
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) z #s(literal -1 binary64)) z)
(*.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)
(.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)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(fma.f64 (-.f64 (/.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) y)) z #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 z (pow.f64 y #s(literal 3 binary64)))) z (/.f64 #s(literal -1 binary64) y)) z #s(literal 1 binary64))
#s(literal -1 binary64)
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64))
(/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y)
(fma.f64 (neg.f64 y) (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) z) (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) z)) (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y) (fma.f64 (neg.f64 y) (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) z) (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y)))
(fma.f64 (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) z) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 y y)) (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) y) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/6 binary64)))) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (neg.f64 y) (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) z) (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y)))
(+.f64 (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y) x)
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(*.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)))
(*.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)))
(*.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
(*.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)))
(*.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)))
(*.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)))

rewrite219.0ms (2.3%)

Memory

-0.4MiB live, 188.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	254
0	59	236
1	258	236
2	1841	236
0	9299	236

Stop Event

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

Counts

20 → 518

Calls

Call 1

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

Outputs
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eval224.0ms (2.3%)

Memory: 36.1MiB live, 279.5MiB allocated
Compiler: Compiled 34 438 to 2 969 computations (91.4% saved)

prune81.0ms (0.8%)

Memory

3.9MiB live, 119.4MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	998	14	1 012
Fresh	3	4	7
Picked	2	3	5
Done	0	0	0
Total	1 003	21	1 024

Accuracy

100.0%

Counts

1 024 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.7%	(fma.f64 (neg.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)))) (/.f64 #s(literal -1 binary64) y) x)
	71.4%	(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x)
	89.4%	(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
✓	87.5%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
	64.4%	(+.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))
▶	76.5%	(+.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))
	73.3%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y))
	68.5%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))) (.f64 (+.f64 z #s(literal 1 binary64)) (.f64 z z))) (.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64))))) y))
✓	71.4%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
	43.5%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
▶	84.6%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y))
	65.5%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))) y))) y))
▶	64.4%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))))))
▶	73.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))))))
▶	89.4%	(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y)))
	65.1%	(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (.f64 y y))) (fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 2 binary64) (neg.f64 y))) z (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y (neg.f64 y)))) z y) z y))))
	72.9%	(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y (neg.f64 y)) y) z y))))
	75.2%	(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 z y y))))
	82.8%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x))
	43.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
✓	40.0%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))

Compiler

Compiled 1 082 to 720 computations (33.5% saved)

simplify185.0ms (1.9%)

Memory

-3.8MiB live, 263.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y #s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))))
cost-diff	0	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))))))
cost-diff	256	(fma.f64 (neg.f64 z) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)))))
cost-diff	0	#s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)))
cost-diff	0	(/.f64 y #s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))))
cost-diff	0	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)))))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y))
cost-diff	0	#s(approx (- 1 z) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y))
cost-diff	0	(pow.f64 (/.f64 (+.f64 z y) y) y)
cost-diff	0	(*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y))
cost-diff	0	(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	607
0	92	607
1	143	595
2	272	587
3	832	587
4	2445	587
5	6392	587
0	8300	573

Stop Event

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

Calls

Call 1

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

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

localize737.0ms (7.6%)

Memory

22.3MiB live, 457.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.44155280663590335	(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
accuracy	1.8903923323324896	(fma.f64 (fma.f64 (neg.f64 z) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64))
accuracy	3.803794713319527	(fma.f64 (neg.f64 z) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))
accuracy	12.57647940811482	#s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)))
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)))))
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	0.0390625	(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64))
accuracy	11.34548290326593	#s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)))
accuracy	0.0234375	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y)
accuracy	0.02734375	(fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))
accuracy	11.34548290326593	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64)))
accuracy	15.102522500748464	#s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
accuracy	0.00390625	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y))
accuracy	0.0234375	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)
accuracy	9.675265625063654	#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64)))
accuracy	10.338255962162094	#s(approx (- 1 z) #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 (+.f64 z y) y)
accuracy	0.01171875	(*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y)
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y))
accuracy	4.334032296828941	(pow.f64 (/.f64 (+.f64 z y) y) y)

Samples

388.0ms	23×	1	exit
167.0ms	86×	1	valid
95.0ms	112×	0	valid
13.0ms	35×	0	exit

Compiler

Compiled 1 001 to 104 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 628.0ms

adjust: 376.0ms (59.9% of total)

ival-pow: 66.0ms (10.5% of total)

const: 54.0ms (8.6% of total)

ival-add: 47.0ms (7.5% of total)

ival-mult: 44.0ms (7% of total)

ival-log: 18.0ms (2.9% of total)

ival-div: 17.0ms (2.7% of total)

ival-exp: 4.0ms (0.6% of total)

ival-sub: 1.0ms (0.2% of total)

ival-neg: 1.0ms (0.2% of total)

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

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

exact: 0.0ms (0% of total)

series139.0ms (1.4%)

Memory

-1.7MiB live, 154.0MiB allocated

Counts

27 → 684

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y))) #<representation binary64>) () ())
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Outputs
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Calls

9 calls:

Time	Variable		Point	Expression
29.0ms	x	@	inf	((+ x (/ 1 (* (pow (/ (+ z y) y) y) y))) (/ 1 (* (pow (/ (+ z y) y) y) y)) (* (pow (/ (+ z y) y) y) y) (pow (/ (+ z y) y) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ 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 (/ y (pow (/ y (+ z y)) y))) (+ x (/ 1 (/ y (pow (/ y (+ z y)) y)))) (/ y (pow (/ y (+ z y)) y)) (pow (/ y (+ z y)) y) (/ 1 (/ y (pow (/ y (+ z y)) y))) (+ (* (neg z) (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y)))) (+ (/ 1/2 y) 1/2)) (+ x (/ 1 (/ y (pow (/ y (+ z y)) y)))) (/ y (pow (/ y (+ z y)) y)) (/ (+ z y) y) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (pow (/ y (+ z y)) y) (+ (* (+ (* (neg z) (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y)))) (+ (/ 1/2 y) 1/2)) z) -1) (/ 1/3 (* y y)))
8.0ms	y	@	0	((+ x (/ 1 (* (pow (/ (+ z y) y) y) y))) (/ 1 (* (pow (/ (+ z y) y) y) y)) (* (pow (/ (+ z y) y) y) y) (pow (/ (+ z y) y) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ 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 (/ y (pow (/ y (+ z y)) y))) (+ x (/ 1 (/ y (pow (/ y (+ z y)) y)))) (/ y (pow (/ y (+ z y)) y)) (pow (/ y (+ z y)) y) (/ 1 (/ y (pow (/ y (+ z y)) y))) (+ (* (neg z) (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y)))) (+ (/ 1/2 y) 1/2)) (+ x (/ 1 (/ y (pow (/ y (+ z y)) y)))) (/ y (pow (/ y (+ z y)) y)) (/ (+ z y) y) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (pow (/ y (+ z y)) y) (+ (* (+ (* (neg z) (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y)))) (+ (/ 1/2 y) 1/2)) z) -1) (/ 1/3 (* y y)))
7.0ms	z	@	-inf	((+ x (/ 1 (* (pow (/ (+ z y) y) y) y))) (/ 1 (* (pow (/ (+ z y) y) y) y)) (* (pow (/ (+ z y) y) y) y) (pow (/ (+ z y) y) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ 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 (/ y (pow (/ y (+ z y)) y))) (+ x (/ 1 (/ y (pow (/ y (+ z y)) y)))) (/ y (pow (/ y (+ z y)) y)) (pow (/ y (+ z y)) y) (/ 1 (/ y (pow (/ y (+ z y)) y))) (+ (* (neg z) (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y)))) (+ (/ 1/2 y) 1/2)) (+ x (/ 1 (/ y (pow (/ y (+ z y)) y)))) (/ y (pow (/ y (+ z y)) y)) (/ (+ z y) y) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (pow (/ y (+ z y)) y) (+ (* (+ (* (neg z) (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y)))) (+ (/ 1/2 y) 1/2)) z) -1) (/ 1/3 (* y y)))
7.0ms	z	@	inf	((+ x (/ 1 (* (pow (/ (+ z y) y) y) y))) (/ 1 (* (pow (/ (+ z y) y) y) y)) (* (pow (/ (+ z y) y) y) y) (pow (/ (+ z y) y) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ 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 (/ y (pow (/ y (+ z y)) y))) (+ x (/ 1 (/ y (pow (/ y (+ z y)) y)))) (/ y (pow (/ y (+ z y)) y)) (pow (/ y (+ z y)) y) (/ 1 (/ y (pow (/ y (+ z y)) y))) (+ (* (neg z) (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y)))) (+ (/ 1/2 y) 1/2)) (+ x (/ 1 (/ y (pow (/ y (+ z y)) y)))) (/ y (pow (/ y (+ z y)) y)) (/ (+ z y) y) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (pow (/ y (+ z y)) y) (+ (* (+ (* (neg z) (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y)))) (+ (/ 1/2 y) 1/2)) z) -1) (/ 1/3 (* y y)))
6.0ms	x	@	0	((+ x (/ 1 (* (pow (/ (+ z y) y) y) y))) (/ 1 (* (pow (/ (+ z y) y) y) y)) (* (pow (/ (+ z y) y) y) y) (pow (/ (+ z y) y) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ 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 (/ y (pow (/ y (+ z y)) y))) (+ x (/ 1 (/ y (pow (/ y (+ z y)) y)))) (/ y (pow (/ y (+ z y)) y)) (pow (/ y (+ z y)) y) (/ 1 (/ y (pow (/ y (+ z y)) y))) (+ (* (neg z) (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y)))) (+ (/ 1/2 y) 1/2)) (+ x (/ 1 (/ y (pow (/ y (+ z y)) y)))) (/ y (pow (/ y (+ z y)) y)) (/ (+ z y) y) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (pow (/ y (+ z y)) y) (+ (* (+ (* (neg z) (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y)))) (+ (/ 1/2 y) 1/2)) z) -1) (/ 1/3 (* y y)))

simplify322.0ms (3.3%)

Memory

-10.9MiB live, 343.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1168	20861
1	3792	19192
0	8666	18277

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 658

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

rewrite207.0ms (2.2%)

Memory

7.1MiB live, 396.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	511
0	92	499
1	409	489
2	3578	487
0	9291	481

Stop Event

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

Counts

27 → 607

Calls

Call 1

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

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eval428.0ms (4.4%)

Memory: -8.9MiB live, 478.2MiB allocated
Compiler: Compiled 55 656 to 4 481 computations (91.9% saved)

prune41.0ms (0.4%)

Memory

29.4MiB live, 107.1MiB allocated

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	1 257	8	1 265
Fresh	6	7	13
Picked	3	2	5
Done	0	3	3
Total	1 266	20	1 286

Accuracy

100.0%

Counts

1 286 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.4%	(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x)
▶	89.4%	(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
✓	87.5%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
✓	76.5%	(+.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))
▶	73.3%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y))
✓	71.4%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
▶	43.5%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
✓	84.6%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y))
	65.5%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))) y))) y))
	75.4%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 #s(approx (+ (* (neg z) (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y)))) (+ (/ 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))))))
	37.4%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 #s(approx (+ (* (neg z) (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y)))) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (.f64 #s(literal -1/2 binary64) z)) #s(literal 1/2 binary64)) y (.f64 #s(literal -1/3 binary64) z)) (*.f64 y y))) z #s(literal -1 binary64)) z #s(literal 1 binary64))))))
▶	76.5%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (/ y (+ z y)) 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))))))
	58.1%	(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(approx (/ (+ z y) y) (/.f64 z y)) y) y)))
	72.9%	(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (/ (+ z y) y) y) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) z #s(literal 1 binary64)) z #s(literal 1 binary64))) y)))
▶	65.1%	(+.f64 x (/.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (+ z y) y) y) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (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 #s(literal -1/2 binary64) y))) z #s(literal 1 binary64)) z #s(literal 1 binary64))) y)))
	72.9%	(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) 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))))
	75.2%	(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 z y y))))
	43.2%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))
✓	40.0%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
	82.7%	#s(approx (+ x (/ 1 (* (pow (/ (+ z y) y) y) y))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 (+.f64 y z) y) y) y) x)) x x))

Compiler

Compiled 1 000 to 682 computations (31.8% saved)

simplify153.0ms (1.6%)

Memory

-18.5MiB live, 174.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(approx (pow (/ (+ z y) y) y) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (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 #s(literal -1/2 binary64) y))) z #s(literal 1 binary64)) z #s(literal 1 binary64))) y)
cost-diff	0	(+.f64 x (/.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (+ z y) y) y) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (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 #s(literal -1/2 binary64) y))) z #s(literal 1 binary64)) z #s(literal 1 binary64))) y)))
cost-diff	128	(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 #s(literal -1/2 binary64) y))
cost-diff	384	(+.f64 #s(literal 1/2 binary64) (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 #s(literal -1/2 binary64) y)))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y))
cost-diff	128	(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)
cost-diff	192	(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z))
cost-diff	0	#s(approx (pow (/ y (+ z y)) y) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64)))
cost-diff	0	(/.f64 y #s(approx (pow (/ y (+ z y)) y) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))))
cost-diff	0	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (/ y (+ z y)) y) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (/ y (+ z y)) y) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64)))))
cost-diff	0	#s(approx (- 1 z) (neg.f64 z))
cost-diff	0	#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z)))
cost-diff	0	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)
cost-diff	0	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
cost-diff	0	(/.f64 y (+.f64 z y))
cost-diff	0	(pow.f64 (/.f64 y (+.f64 z y)) y)
cost-diff	0	(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
cost-diff	0	(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	701
0	100	701
1	146	689
2	225	685
3	508	685
4	1394	685
5	4551	685
0	8106	653

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

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

localize405.0ms (4.2%)

Memory

-6.0MiB live, 367.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.44155280663590335	(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
accuracy	1.8864860823324896	(fma.f64 (+.f64 #s(literal 1/2 binary64) (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 #s(literal -1/2 binary64) y))) z #s(literal 1 binary64))
accuracy	3.881919713319527	(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 #s(literal -1/2 binary64) y))
accuracy	12.559484416941245	#s(approx (pow (/ (+ z y) y) y) (fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (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 #s(literal -1/2 binary64) y))) z #s(literal 1 binary64)) z #s(literal 1 binary64)))
accuracy	0.0234375	(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)
accuracy	0.0234375	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))) y)
accuracy	0.02734375	(fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64))
accuracy	11.34548290326593	#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) y)) z #s(literal 1 binary64)))
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (/ y (+ z y)) y) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64)))))
accuracy	0.02734375	(fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))
accuracy	11.34548290326593	#s(approx (pow (/ y (+ z y)) y) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64)))
accuracy	15.102522500748464	#s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
accuracy	0.00390625	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
accuracy	0.0234375	(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)
accuracy	9.675265625063654	#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z)))
accuracy	39.22287078070847	#s(approx (- 1 z) (neg.f64 z))
accuracy	0.00390625	(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
accuracy	0.0078125	(/.f64 y (+.f64 z y))
accuracy	0.0234375	(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
accuracy	3.8262446953729126	(pow.f64 (/.f64 y (+.f64 z y)) y)

Samples

156.0ms	86×	1	valid
136.0ms	112×	0	valid
24.0ms	23×	1	exit
14.0ms	35×	0	exit

Compiler

Compiled 1 114 to 118 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 278.0ms

ival-pow: 103.0ms (37% of total)

ival-div: 71.0ms (25.5% of total)

ival-mult: 34.0ms (12.2% of total)

ival-add: 23.0ms (8.3% of total)

ival-log: 18.0ms (6.5% of total)

adjust: 12.0ms (4.3% of total)

const: 8.0ms (2.9% of total)

ival-exp: 4.0ms (1.4% 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)

series84.0ms (0.9%)

Memory

6.7MiB live, 200.7MiB allocated

Counts

27 → 684

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	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)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (/ 1 (/ y (pow (/ y (+ z y)) y))) (+ x (/ 1 (/ y (pow (/ y (+ z y)) y)))) (/ y (pow (/ y (+ z y)) y)) (pow (/ y (+ z y)) y) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (/ (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ 1/2 (+ (* (- (+ (/ 1/3 (* y y)) 1/6) (/ 1/2 y)) z) (/ -1/2 y))) (+ (* (- (+ (/ 1/3 (* y y)) 1/6) (/ 1/2 y)) z) (/ -1/2 y)) (+ x (/ 1 (* (pow (/ (+ z y) y) y) y))) (* (pow (/ (+ z y) y) y) y) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (pow (/ (+ z y) y) y) (+ (* (+ 1/2 (+ (* (- (+ (/ 1/3 (* y y)) 1/6) (/ 1/2 y)) z) (/ -1/2 y))) z) 1) (/ 1/3 (* y y)))
6.0ms	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)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (/ 1 (/ y (pow (/ y (+ z y)) y))) (+ x (/ 1 (/ y (pow (/ y (+ z y)) y)))) (/ y (pow (/ y (+ z y)) y)) (pow (/ y (+ z y)) y) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (/ (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ 1/2 (+ (* (- (+ (/ 1/3 (* y y)) 1/6) (/ 1/2 y)) z) (/ -1/2 y))) (+ (* (- (+ (/ 1/3 (* y y)) 1/6) (/ 1/2 y)) z) (/ -1/2 y)) (+ x (/ 1 (* (pow (/ (+ z y) y) y) y))) (* (pow (/ (+ z y) y) y) y) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (pow (/ (+ z y) y) y) (+ (* (+ 1/2 (+ (* (- (+ (/ 1/3 (* y y)) 1/6) (/ 1/2 y)) z) (/ -1/2 y))) z) 1) (/ 1/3 (* y y)))
4.0ms	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)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (/ 1 (/ y (pow (/ y (+ z y)) y))) (+ x (/ 1 (/ y (pow (/ y (+ z y)) y)))) (/ y (pow (/ y (+ z y)) y)) (pow (/ y (+ z y)) y) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (/ (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ 1/2 (+ (* (- (+ (/ 1/3 (* y y)) 1/6) (/ 1/2 y)) z) (/ -1/2 y))) (+ (* (- (+ (/ 1/3 (* y y)) 1/6) (/ 1/2 y)) z) (/ -1/2 y)) (+ x (/ 1 (* (pow (/ (+ z y) y) y) y))) (* (pow (/ (+ z y) y) y) y) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (pow (/ (+ z y) y) y) (+ (* (+ 1/2 (+ (* (- (+ (/ 1/3 (* y y)) 1/6) (/ 1/2 y)) z) (/ -1/2 y))) z) 1) (/ 1/3 (* y y)))
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)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (/ 1 (/ y (pow (/ y (+ z y)) y))) (+ x (/ 1 (/ y (pow (/ y (+ z y)) y)))) (/ y (pow (/ y (+ z y)) y)) (pow (/ y (+ z y)) y) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (/ (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ 1/2 (+ (* (- (+ (/ 1/3 (* y y)) 1/6) (/ 1/2 y)) z) (/ -1/2 y))) (+ (* (- (+ (/ 1/3 (* y y)) 1/6) (/ 1/2 y)) z) (/ -1/2 y)) (+ x (/ 1 (* (pow (/ (+ z y) y) y) y))) (* (pow (/ (+ z y) y) y) y) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (pow (/ (+ z y) y) y) (+ (* (+ 1/2 (+ (* (- (+ (/ 1/3 (* y y)) 1/6) (/ 1/2 y)) z) (/ -1/2 y))) z) 1) (/ 1/3 (* y y)))
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)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (/ 1 (/ y (pow (/ y (+ z y)) y))) (+ x (/ 1 (/ y (pow (/ y (+ z y)) y)))) (/ y (pow (/ y (+ z y)) y)) (pow (/ y (+ z y)) y) (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (/ (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ 1/2 (+ (* (- (+ (/ 1/3 (* y y)) 1/6) (/ 1/2 y)) z) (/ -1/2 y))) (+ (* (- (+ (/ 1/3 (* y y)) 1/6) (/ 1/2 y)) z) (/ -1/2 y)) (+ x (/ 1 (* (pow (/ (+ z y) y) y) y))) (* (pow (/ (+ z y) y) y) y) (+ (* (+ (/ 1/2 y) 1/2) z) -1) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (exp (* y (log (/ y (+ z y))))) (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (pow (/ (+ z y) y) y) (+ (* (+ 1/2 (+ (* (- (+ (/ 1/3 (* y y)) 1/6) (/ 1/2 y)) z) (/ -1/2 y))) z) 1) (/ 1/3 (* y y)))

simplify262.0ms (2.7%)

Memory

22.0MiB live, 375.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1228	18656
1	3945	17272
0	8941	16428

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 660

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))
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(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)))
(* y (- (* 1/2 z) 1))
(* -1 (* y (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y)))))
(* -1 (* y (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y)))))
(* -1 (* y (+ (* -1 (- (* 1/2 z) 1)) (* -1/2 (/ z y)))))
(- (* 1/2 z) 1)
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)
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))
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(+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/3 (/ z y)) (* 1/2 z))) y)) (* 1/6 z)))
(+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/3 (/ z y)) (* 1/2 z))) y)) (* 1/6 z)))
(* 1/6 z)
(+ (* -1 (/ (+ 1/2 (* 1/2 z)) y)) (* 1/6 z))
(+ (* -1 (/ (+ 1/2 (+ (* -1/3 (/ z y)) (* 1/2 z))) y)) (* 1/6 z))
(+ (* -1 (/ (+ 1/2 (+ (* -1/3 (/ z y)) (* 1/2 z))) y)) (* 1/6 z))
x
(+ x (/ 1 (* y (exp z))))
(+ x (* -1 (/ (- (* -1/2 (/ (pow z 2) (* y (exp z)))) (/ 1 (exp z))) y)))
(+ x (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow z 4) (exp z))) (+ (* 1/8 (/ (pow z 4) (exp z))) (* 1/3 (/ (pow z 3) (exp z))))) y)) (* 1/2 (/ (pow z 2) (exp z)))) y)) (/ 1 (exp z))) y)))
(* y (exp z))
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(* -1 (* y (+ (* -1 (exp z)) (* -1 (/ (+ (* -1/2 (* (pow z 2) (exp z))) (/ (* (exp z) (+ (* 1/8 (pow z 4)) (* 1/3 (pow z 3)))) y)) y)))))
(* -1 (* y (+ (* -1 (exp z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp z) (+ (* 1/8 (pow z 4)) (* 1/3 (pow z 3))))) (/ (* (exp z) (+ (* 1/48 (pow z 6)) (+ (* 1/6 (pow z 5)) (* 1/4 (pow z 4))))) y)) y)) (* -1/2 (* (pow z 2) (exp z)))) y)))))
(- (* 1/2 z) 1)
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)
(- (+ (* 1/2 z) (* 1/2 (/ z y))) 1)
(+ 1 (* z (- (* 1/2 z) 1)))
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(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)))
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(exp z)
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(+ (exp z) (* -1 (/ (+ (* -1 (/ (* (exp z) (+ (* 1/8 (pow z 4)) (* 1/3 (pow z 3)))) y)) (* 1/2 (* (pow z 2) (exp z)))) y)))
(+ (exp z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp z) (+ (* 1/48 (pow z 6)) (+ (* 1/6 (pow z 5)) (* 1/4 (pow z 4))))) y)) (* (exp z) (+ (* 1/8 (pow z 4)) (* 1/3 (pow z 3))))) y)) (* 1/2 (* (pow z 2) (exp z)))) y)))
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(/ 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))
(/ 1 (* y (pow (/ (+ y z) y) y)))
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x
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y))))
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(* 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 (/ 1 (* x (* y (pow (/ (+ y z) y) y))))))
(* x (+ 1 (/ 1 (* x (* y (pow (/ (+ y z) y) y))))))
(* x (+ 1 (/ 1 (* x (* y (pow (/ (+ y z) y) y))))))
x
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x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
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x
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1)))
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(* -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
(* x (+ 1 (/ 1 (* x (* y (pow (/ (+ y z) y) y))))))
(* x (+ 1 (/ 1 (* x (* y (pow (/ (+ y z) y) y))))))
(* x (+ 1 (/ 1 (* x (* y (pow (/ (+ y z) y) y))))))

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) y) x)
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(/.f64 #s(literal 1 binary64) y)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) z)
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#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) z)
(-.f64 #s(literal 1 binary64) z)
(-.f64 #s(literal 1 binary64) z)
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(+.f64 (/.f64 #s(literal 1 binary64) y) x)
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y
(fma.f64 z y y)
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#s(literal 1 binary64)
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(neg.f64 y)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z (neg.f64 y))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z (neg.f64 y))
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#s(literal -1 binary64)
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(+.f64 (/.f64 #s(literal 1 binary64) y) x)
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(/.f64 (exp.f64 (neg.f64 z)) y)
(/.f64 (fma.f64 (.f64 (exp.f64 (neg.f64 z)) (/.f64 (.f64 z z) y)) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 z))) (neg.f64 y))
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(fma.f64 #s(literal 1/6 binary64) z (/.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) z)) #s(literal -1 binary64) #s(literal -1/2 binary64)) y))
x
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y)) x)
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 z)) (/.f64 (*.f64 z z) y) (/.f64 #s(literal -1 binary64) (exp.f64 z))) y))
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(*.f64 (exp.f64 z) y)
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(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64))
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(fma.f64 #s(literal 1/2 binary64) (+.f64 z (/.f64 z y)) #s(literal -1 binary64))
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(+.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z)) #s(literal 1 binary64))
(+.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z)) #s(literal 1 binary64))
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(fma.f64 (.f64 (exp.f64 (neg.f64 z)) (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64) (exp.f64 (neg.f64 z)))
(-.f64 (exp.f64 (neg.f64 z)) (/.f64 (fma.f64 (.f64 (exp.f64 (neg.f64 z)) (.f64 z z)) #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal -1 binary64) (exp.f64 z)) (/.f64 (fma.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 8 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -6 binary64))) #s(literal -1/6 binary64) (.f64 (pow.f64 (.f64 z z) #s(literal 2 binary64)) #s(literal 1/8 binary64))) y))) y))
(-.f64 (exp.f64 (neg.f64 z)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 (neg.f64 z))) (.f64 z z) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 z)) (/.f64 (fma.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal -24 binary64) (pow.f64 z #s(literal 4 binary64)) (fma.f64 #s(literal -12 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 42 binary64)))) (fma.f64 (.f64 #s(literal 1/12 binary64) (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 8 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -6 binary64)))) (.f64 z z) (.f64 #s(literal -1/48 binary64) (pow.f64 (.f64 z z) #s(literal 3 binary64))))) y) (.f64 (fma.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 8 binary64) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -6 binary64))) #s(literal -1/6 binary64) (.f64 (pow.f64 (.f64 z z) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (exp.f64 (neg.f64 z)))) (neg.f64 y))) y))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64))
(+.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z)) #s(literal 1 binary64))
(+.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z)) #s(literal 1 binary64))
(+.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z)) #s(literal 1 binary64))
(exp.f64 z)
(fma.f64 (.f64 (.f64 z z) (/.f64 (exp.f64 z) y)) #s(literal -1/2 binary64) (exp.f64 z))
(-.f64 (exp.f64 z) (/.f64 (fma.f64 (neg.f64 (exp.f64 z)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))) y) (.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) (exp.f64 z))) y))
(-.f64 (exp.f64 z) (/.f64 (fma.f64 (.f64 (.f64 z z) #s(literal 1/2 binary64)) (exp.f64 z) (/.f64 (fma.f64 (neg.f64 (exp.f64 z)) (/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1/48 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 z #s(literal 4 binary64)) (.f64 (pow.f64 z #s(literal 5 binary64)) #s(literal 1/6 binary64)))) y) (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 z))) (neg.f64 y))) y))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) (.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1/2 binary64)) y))) (.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1/2 binary64)) z (.f64 (/.f64 (.f64 z z) y) #s(literal -1/3 binary64))) y)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1/2 binary64)) z (.f64 (/.f64 (.f64 z z) y) #s(literal -1/3 binary64))) y)) (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/.f64 #s(literal 1/3 binary64) (*.f64 y y))
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y)) x)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y)) x)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y)) x)
x
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x)
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x)
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x)
x
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x)
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x)
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x)
x
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x)
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x)
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x)
x
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x)
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x)
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x)
x
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y) x)) x x)
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y) x)) x x)
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y) x)) x x)
x
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64)))
x
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64)))
x
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64)))
x
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64)))
x
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y) x)) x x)
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y) x)) x x)
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y) x)) x x)

rewrite225.0ms (2.3%)

Memory

12.4MiB live, 323.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	551
0	100	539
1	434	535
2	3629	523
0	9458	513

Stop Event

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

Counts

27 → 599

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

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eval564.0ms (5.9%)

Memory: 9.3MiB live, 353.9MiB allocated
Compiler: Compiled 57 527 to 5 089 computations (91.2% saved)

prune101.0ms (1%)

Memory

-7.0MiB live, 146.5MiB allocated

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	1 255	4	1 259
Fresh	4	6	10
Picked	3	2	5
Done	0	5	5
Total	1 262	17	1 279

Accuracy

100.0%

Counts

1 279 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.4%	(fma.f64 (neg.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) y) x)
	58.1%	(+.f64 (/.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y) y) x)
✓	87.5%	(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))
✓	76.5%	(+.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))
	76.1%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (/.f64 #s(approx (+ (* (+ (* 1/2 z) -1) y) (* 1/2 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) y)) z #s(literal 1 binary64))) y))
✓	71.4%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y))
✓	43.5%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y))
✓	84.6%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y))
	65.5%	(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (+ (* (+ (* (+ (/ 1/2 y) 1/2) z) -1) z) 1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (.f64 (.f64 z z) #s(literal 1/2 binary64))) y))) y))
	75.4%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 #s(approx (+ (* (neg z) (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y)))) (+ (/ 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))))))
	37.4%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (/ y (+ z y)) y) (fma.f64 (fma.f64 #s(approx (+ (* (neg z) (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y)))) (+ (/ 1/2 y) 1/2)) (/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) y (.f64 #s(literal -1/2 binary64) z)) #s(literal 1/2 binary64)) y (.f64 #s(literal -1/3 binary64) z)) (*.f64 y y))) z #s(literal -1 binary64)) z #s(literal 1 binary64))))))
✓	76.5%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (pow (/ y (+ z y)) 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))))))
	58.1%	(+.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(approx (/ (+ z y) y) (/.f64 z y)) y) y)))
	75.6%	(+.f64 x (/.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (/ (+ z y) y) y) (fma.f64 (fma.f64 #s(approx (+ 1/2 (+ ( (- (+ (/ 1/3 (* y y)) 1/6) (/ 1/2 y)) z) (/ -1/2 y))) (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal 1 binary64)) z #s(literal 1 binary64))) y)))
	75.2%	(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (pow (/ y (+ z y)) y)) (fma.f64 z y y))))
✓	40.0%	#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))
	82.7%	#s(approx (+ x (/ 1 (* (pow (/ (+ z y) y) y) y))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (/.f64 (+.f64 z y) y) y) y) x)) x x))

Compiler

Compiled 1 578 to 624 computations (60.5% saved)

regimes84.0ms (0.9%)

Memory

-35.7MiB live, 192.6MiB allocated

Counts

39 → 3

Calls

Call 1

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

24.0ms	x
20.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
15.0ms	y
12.0ms	z
11.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))

Results

Accuracy	Segments	Branch
89.4%	1	`x`
99.2%	3	`y`
92.9%	2	`z`
93.6%	3	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
95.9%	3	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`

Compiler

Compiled 27 to 28 computations (-3.7% saved)

regimes62.0ms (0.6%)

Memory

4.6MiB live, 44.1MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

37.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
8.0ms	y
8.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
8.0ms	z

Results

Accuracy	Segments	Branch
88.5%	2	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
91.6%	2	`z`
88.5%	2	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
92.2%	3	`y`

Compiler

Compiled 26 to 25 computations (3.8% saved)

regimes15.0ms (0.2%)

Memory

25.8MiB live, 25.8MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
3.0ms	z
3.0ms	x
3.0ms	y
3.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)

Results

Accuracy	Segments	Branch
84.6%	1	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
84.6%	1	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`
84.6%	1	`y`
84.6%	1	`x`
84.6%	1	`z`

Compiler

Compiled 27 to 28 computations (-3.7% saved)

regimes23.0ms (0.2%)

Memory

-19.9MiB live, 19.4MiB 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)) (/.f64 #s(literal 1 binary64) y))

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

Calls

5 calls:

17.0ms	z
1.0ms	(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))
1.0ms	y
1.0ms	(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)
1.0ms	x

Results

Accuracy	Segments	Branch
40.0%	1	`x`
40.0%	1	`(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y))`
40.0%	1	`y`
40.0%	1	`z`
40.0%	1	`(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)`

Compiler

Compiled 27 to 28 computations (-3.7% saved)

bsearch28.0ms (0.3%)

Memory

15.8MiB live, 53.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	4.655263966697105	20.567229148803534
15.0ms	-25542.13474651272	-8908.49045084123

Samples

16.0ms	160×	0	valid
2.0ms	30×	0	invalid

Compiler

Compiled 326 to 276 computations (15.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 5.0ms (38.4% of total)

ival-log: 3.0ms (23% of total)

ival-exp: 2.0ms (15.3% of total)

ival-add: 2.0ms (15.3% of total)

ival-mult: 1.0ms (7.7% of total)

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

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

bsearch48.0ms (0.5%)

Memory

-17.3MiB live, 63.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
46.0ms	-5.81840475755434e+160	-1.3494132980246533e+160

Samples

24.0ms	56×	0	valid
13.0ms	40×	1	valid
3.0ms	42×	0	invalid

Compiler

Compiled 292 to 238 computations (18.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-log: 7.0ms (42.1% of total)

ival-div: 5.0ms (30.1% of total)

ival-add: 2.0ms (12% of total)

adjust: 1.0ms (6% of total)

ival-exp: 1.0ms (6% of total)

ival-mult: 1.0ms (6% of total)

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

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

simplify56.0ms (0.6%)

Memory

16.4MiB live, 55.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	137
1	50	137
2	52	137
3	53	137

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -9000 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 5 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 -13500000000000000010089790800521252732876536156167302966190986569828412128602620551754662167990829995344409758165388031015889380790368193594649748695884547227648 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)))
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y))

Outputs
(if (<=.f64 y #s(literal -9000 binary64)) (+.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (if (<=.f64 y #s(literal 5 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 -13500000000000000010089790800521252732876536156167302966190986569828412128602620551754662167990829995344409758165388031015889380790368193594649748695884547227648 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 #s(approx (+ (* (+ (/ 1/2 y) 1/2) z) -1) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))) z #s(literal 1 binary64))) y) x) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x))
(+.f64 (/.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))

soundness381.0ms (4%)

Memory

-7.2MiB live, 396.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	768	15019
1	2444	12819
0	8370	12258
0	520	3809
1	1535	3201
2	5309	2873
0	8114	2727

Stop Event

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

Compiler

Compiled 177 to 89 computations (49.7% saved)

preprocess46.0ms (0.5%)

Memory: 11.5MiB live, 126.8MiB allocated
Compiler: Compiled 358 to 148 computations (58.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze288.0ms (3%)

sample2.1s (22%)

explain222.0ms (2.3%)

preprocess240.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize70.0ms (0.7%)

series46.0ms (0.5%)

simplify199.0ms (2.1%)

rewrite329.0ms (3.4%)

eval74.0ms (0.8%)

prune23.0ms (0.2%)

simplify247.0ms (2.6%)

localize350.0ms (3.6%)

series74.0ms (0.8%)

simplify233.0ms (2.4%)

rewrite219.0ms (2.3%)

eval224.0ms (2.3%)

prune81.0ms (0.8%)

simplify185.0ms (1.9%)

localize737.0ms (7.6%)

series139.0ms (1.4%)

simplify322.0ms (3.3%)

rewrite207.0ms (2.2%)

eval428.0ms (4.4%)

prune41.0ms (0.4%)

simplify153.0ms (1.6%)

localize405.0ms (4.2%)

series84.0ms (0.9%)

simplify262.0ms (2.7%)

rewrite225.0ms (2.3%)

eval564.0ms (5.9%)

prune101.0ms (1%)

regimes84.0ms (0.9%)

regimes62.0ms (0.6%)

regimes15.0ms (0.2%)

regimes23.0ms (0.2%)

bsearch28.0ms (0.3%)

bsearch48.0ms (0.5%)

simplify56.0ms (0.6%)

soundness381.0ms (4%)

preprocess46.0ms (0.5%)

end0.0ms (0%)

Profiling